Chapter 6 Multiplication Concept 6.1: Multiply 2-digit Numbers Recall Multiple Choice Questions 1) 4 + 4 + 4 = _________ [C] [ D] (A) 8 (B) 4 (C) 12 (D) 16 [ A] (C) 20 (D) 25 2) 5 + 5 + 5 + 5 + 5 = ___________ (C) 24 (D) 42 [ C] [ D] (A) 10 (B) 15 [ B] 3) 6 + 6 + 6 + 6 + 6 + 6 = __________ (A) 36 (B) 30 & Remembering and Understanding Multiple Choice Questions 4) 5 × 6 = _______ (A) 25 (B) 24 (C) 30 (D) 28 (D) 1 5) Any number multiplied by _____ is the number itself. (D) ÷ (A) 4 (B) 2 (C) 3 6) Which symbol is used for multiplication? (A) + (B) × (C) − 1
Fill in the Blanks 7) 7 × 8 = _____5_6____ 8) The number written on the right side of the ‘=’ sign is called the ____p__r_o_d_u__c_t___. 9) __________M__u__lt_ip__li_c_a__ti_o_n________ is repeated addition. Very Short Answer Questions 10) Is 8 × 3 the same as 3 × 6? Solution: No 11) Multiply: 9 and 3 Solution: 27 12) Solve: 9 × 9 Solution: 81 Short Answer Questions 13) Find the product of 16 and 5. Solution: TO 3 16 x5 80 14) Solve: 24 × 6 Solution: H TO 2 x 24 1 6 44 2
Long Answer Questions 15) Write the multiplication tables of 7 and 8. Solution: 7 × 1 = 7 8×1=8 7 × 2 = 14 8 × 2 = 16 7 × 3 = 21 8 × 3 = 24 7 × 4 = 28 8 × 4 = 32 7 × 5 = 35 8 × 5 = 40 7 × 6 = 42 8 × 6 = 48 7 × 7 = 49 8 × 7 = 56 7 × 8 = 56 8 × 8 = 64 7 × 9 = 63 8 × 9 = 72 7 × 10 = 70 8 × 10 = 80 16) Find the following products. a) 25 × 7 b) 19 × 8 c) 23 × 6 d) 12 × 9 Solution: a) H TO 3 b) H T O 7 25 19 x7 x8 1 75 1 52 c) H T O d) H T O 1 1 23 12 x6 x9 1 38 1 08 WB: Multiplication 3
Application Short Answer Questions 17) There are 8 students in a row. How many students would be there in 7 such rows? Solution: Number of students in a row = 8 Number of rows = 7 Total number of students = 8 × 7 = 56 So, there are 56 students in 7 rows. 18) A box contains 9 mangoes. How many mangoes would be there in 8 such boxes? Solution: Number of mangoes in each box = 9 Number of such boxes = 8 Total number of mangoes = 9 × 8 = 72 So, there are 72 mangoes in 8 boxes. Long Answer Questions 19) Each child carries 9 notebooks. How many notebooks will 45 children carry? Solution: Number of children = 45 Number of notebooks each child carries = 9 Total number of notebooks = 45 × 9 H TO 4 45 x9 4 05 Therefore, 45 children would carry 405 notebooks. 4
20) A toffee box has 68 toffees in it. How many toffees would be there in 9 such boxes? Solution: Number of toffees in one box = 68 Number of such boxes = 9 Total number of toffees = 68 × 9 H TO 7 68 x9 6 12 Therefore, there would be 612 toffees in 9 boxes. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Write two multiplication facts for 84. Solution: Learner’s response 12 × 7 = 84, 7 ×12 = 84, 14 × 6 = 84, 6 × 14 = 84 and so on. (Any two of these) Long Answer Question 22) Frame a word problem for the following and solve it. Number of apples in one carton = 5 Number of cartons = 8 Solution: Learner’s response Word problem: There are 8 cartons and each carton contains 5 apples What is the total number of apples? WB: Multiplication 5
Solution: Number of apples in each carton = 5 Number of cartons = 8 Total number of apples 8 5 = 40 So, there are 40 apples in 8 cartons. 6
Solution: Number of apples in each carton = 5 PREVIOUS CONCEPTNumber of cartons = 8 Total number of apples 8 5 = 40 So, there are 40 apples in 8 cartons. Concept 6.2: Multiply 3-digit Numbers by 1-digit and 2-digit Numbers Recall Multiple Choice Questions 1) The product of 90 and 3 is _____________. [ C] [D] (A) 2700 (B) 702 (C) 270 (D) 207 [ D] (D) 52 2) 52 × 1 = _____________ (D) 80 (A) 53 (B) 521 (C) 51 3) The product of 20 and 4 is _____________. (A) 70 (B) 90 (C) 60 & Remembering and Understanding Multiple Choice Questions 4) The product of 302 and 1 is _____________. [B] [A] (A) 320 (B) 302 (C) 1 (D) 0 [ D] (D) 450 5) The product of 200 and 2 is _____________. (D) 222 (A) 400 (B) 200 (C) 2 6) The product of 111 and 2 is _____________. (A) 111 (B) 221 (C) 212 6
Fill in the Blanks 7) The product of 70 and 6 is _____4_2_0_____. 8) The product of 800 and 4 is ____3_2_0__0____. 9) The product of 301 by 3 is _____9_0_3_____. Very Short Answer Questions 10) What is the product of 222 and 2? Solution: 444 11) What is the product of 121 and 2? Solution: 242 12) Find the product of 333 and 3. Solution: 999 Short Answer Questions 13) What is the product of 999 and 3? Solution: Th H T O 22 999 3 2997 14) What is the product of 893 and 4? Solution: Th H T O 31 893 4 3572 WB: Multiplication 7
Long Answer Questions 15) Solve: a) 422 × 15 b) 234 × 21 b) Th H T O Solution: a) Th H T O 1 1 234 2 ×21 42 5 1 0 234 ×1 0 + 4680 0 4914 211 +422 633 16) Solve: a) 373 × 24 T O b) 465 × 18 Solution: a) Th H b) Th H T O 1 3 1 7 4 54 2 2 465 3 2 ×18 × 9 0 1 1 6 2 3720 14 5 +4650 + 74 8370 89 8
Application Short Answer Questions 17) A pencil box has 154 pencils in it. How many pencils would be there in 4 such boxes? H TO Solution: Number of pencils in one box = 154 21 Number of boxes = 4 Total number of pencils = 154 × 4 1 54 Therefore, 616 pencils would be there in 4 boxes. × 4 6 16 18) One chart paper has 371 words. How many words would be there on 3 such chart papers? Solution: Number of words on one chart paper = 371 Th H T O Number of chart papers = 3 2 Total number of words = 371 × 3 371 Therefore, the total number of words in three chart ×3 papers would be 1113. 1113 Long Answer Questions 19) Ajay kept 675 stamps in a box. If he has the same number of stamps in 13 such boxes, how many stamps does he have in all? Th H T O Solution: Number of stamps in one box = 675 21 Number of boxes = 13 675 Total number of stamps in all the boxes = 675 × 13 ×13 Therefore, there are 8775 stamps in 13 boxes. 2025 +6 7 5 0 8775 WB: Multiplication 9
20) A container can hold 720 spoons. How many spoons can be kept in 12 such containers? Solution: Total number of containers = 12 Th H T O Total number of spoons in one container = 720 720 Total number of spoons in all the containers ×12 = 720 × 12 1440 Therefore, a total of 8640 spoons can be kept in 12 + 7 2 0 0 such containers. 8640 Higher Order Thinking Skills (H.O.T.S.) Short Answer Question b) 4 and 100 b) 4 × 100 = 400 21) Multiply: a) 23 and 10 Solution: a) 23 × 10 = 230 Long Answer Question 22) Which two numbers are such that their difference is 2 and their product is 2 less than 50? Solution: As the product is 2 less than 50 , product = 50 – 2 = 48 48 can be written as 8 × 6. 10
Also, the difference between 8 and 6 is 2. Therefore, the two numbers are 8 and 6. WB: Multiplication 11
AThlseor,etfhoered, itfhfeeretwncoePnubRmeEtbwVeerIesOnar8eUa8SnadnC6dOis6.2N. CEPT Concept 6.3: Double 2-digit and 3-digit Numbers Mentally Recall Multiple Choice Questions 1) 5 × 2 = ___ [C ] [D ] (A) 5 (B) 2 (C) 10 (D) 15 [B ] (C) 6 (D) 8 2) 4 × 2 = ___ (C) 2 (D) 21 [C ] [D ] (A) 2 (B) 4 (D) 44 [B ] (D) 80 3) 6 × 2 = ___ (D) 250 (A) 6 (B) 12 & Remembering and Understanding Multiple Choice Questions 4) 21 × 2 = _____ (B) 41 (C) 42 (A) 40 (B) 402 (C) 420 (B) 100 (C) 150 5) 40 × 2 = _____ (A) 40 6) 50 × 2 = _____ (A) 200 Fill in the Blanks 7) The number 50 is double of ___2_5____. 8) The number 80 is double of ___4_0____. 9) The number 70 is double of ___3_5____. WB: Multiplication 11
Very Short Answer Questions 10) Double the number 20. Solution: 40 11) Double the number 60. Solution: 120 12) Double the number 30. Solution: 60 Short Answer Questions 13) Double the number mentally: a) 38 b) 24 b) 18 Solution: a) 76 b) 48 14) Double the number mentally: a) 42 Solution: a) 84 b) 36 Long Answer Questions 15) Double the given numbers mentally. a) 45 b) 64 Solution: a) 90 b)128 16) Double the given numbers mentally. a) 71 b) 59 Solution: a) 142 b)118 Application Short Answer Questions 17) Nisha scored 45 marks in Maths. Her score in Science is double of that in Maths. How many marks did Nisha score in Science? 12
Solution: Double of 45 is 90. Therefore, Nisha scored 90 marks in Science. 18) There are 26 pens in a packet. Another packet has double the number of pens. How many pens are there in the second packet? Solution: Double of 26 is 52. Therefore, the other packet has 52 pens. Long Answer Questions 19) There are 40 apartments and 23 independent houses in City A. In another City B, there are double the number of apartments and independent houses than in City A. How many apartments and houses are there in City B? Solution: Double of 40 and 23 is 80 and 46 respectively. Therefore, there are 80 apartments and 46 houses in city B. 20) A book has 36 chapters in Part 1 and double the number of chapters in Part 2. How many chapters are there in Part 2 of the book? Solution: Double of 36 is 72. Therefore, there are 72 chapters in Part 2 of the book. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Double the given number: 570 Solution: 1140 Long Answer Question 22) Double the following numbers. a) 172 b) 530 Solution: a) 344 b) 1060 WB: Multiplication 13
Chapter 7 Time Concept 7.1: Read a Calendar Recall Multiple Choice Questions 1) There are ___________ days in a week. [ B] [ A] (A) 8 (B) 7 (C) 9 (D) 6 [ C] (D) August 2) The month just before November is ___________. (D) Tuesday (A) October (B) December (C) September 3) The day after Wednesday is ___________. (A) Monday (B) Saturday (C) Thursday & Remembering and Understanding Multiple Choice Questions 4) The month of July has ___________ days. [ D] [ B] (A) 32 (B) 7 (C) 12 (D) 31 [ C] 5) We celebrate Independence day in the month of ___________. (A) March (B) August (C) December (D) January 6) Christmas is celebrated on the ________ of December. (A) 24th (B) 26th (C) 25th (D) 27th Fill in the Blanks 7) The calendar that we use everyday is the _____G__r_e_g_o_r_i_a_n______ calendar. 8) Children’s day is celebrated on _____N_o__v_e_m__b_e_r__1_4_th____. 16
9) If the 1st of the month is a Tuesday, then the 3rd of the same month will be a __T_h_u_r_s_d_a__y_. Very Short Answer Questions Observe the calendar and answer the following questions. SAT 5 JANUARY 2019 SUN MON TUE WED THU FRI 1234 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 10) How many Tuesdays are there in January 2019? Solution: . .5. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) On which day does the New Year (1st January 2019) fall? Solution: . .T.u. .e.s.d. .a.y. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) Republic Day will be celebrated on which day of the week? Solution: . .S.a. .t.u.r.d.a. .y. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 13) Observe the calendar and answer the following questions. a) List out the dates which fall on OCTOBER 2019 SAT Sundays in October 2019. SUN MON TUE WED THU FRI 5 b) On which date is the first Sunday 12 after 17th of October? 1 2 34 19 26 Solution: .a.). .T.h.e. . d. .a. .te. .s. w. .h. .ic. .h. .f.a.l.l .o.n. .S. u. .n.d. .a. y. .s 6 7 8 9 10 11 . . . . .a.r.e. .6. t.h.,.1.3. .th.,.2. 0. .th. .a.n. .d. .2.7. .th... . . . . . . . 13 14 15 16 17 18 . .b.). .2.0.t.h.O. .c. .to. .b. .e.r. . . . . . . . . . . . . . . . . . . . . . 20 21 22 23 24 25 ........................................ 27 28 29 30 31 ........................................ WB: Shapes 17
14) Observe the calendar of October 2019 and answer the following questions. a) On which date and day does Gandhi Jayanti fall? b) List out the dates which fall on Saturdays in October 2019. Solution: . .a. ). .O. .c. t.o. .b.e. .r.2. n.d.,. .W. .e.d. .n.e. .s.d.a. .y. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .b. ). .T.h.e. . d. .a. .te. .s. .w. h. .ic. .h. .f.a.l.l .o.n. .S. .a.t.u.r.d. .a.y. s. .a. .re. . 5. .th.,.1. .2.th.,. 1. .9.th. .a.n. .d. .2.6. .th... . . . . . . . . . . . . . . . Long Answer Questions 15) Observe the given calendar and APRIL 2019 answer the following questions. SUN MON TUE WED THU FRI SAT a) List the days on the 4th, 17th, 19th and 23rd of April 2019. 1 2 3 456 b) On which date does the second 7 8 9 10 11 12 13 Saturday after 11th April fall? 14 15 16 17 18 19 20 c) Which days appear five times in this month? 21 22 23 24 25 26 27 28 29 30 d) On which date does the fourth Sunday fall? Solution: . .a.). .T.h. .u.r.s.d. a. .y. .,.W. .e. .d. .n.e. .s.d. .a.y. .,.F.r.i.d.a. .y. .a. .n.d. . .T.u.e. .s.d. .a. y. . r.e. .s.p. .e.c. .t.iv. .e.l.y. . . . . . . . . . . . . . . . .b.). .2.0.t.h.A. .p. r.i.l . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .c.). .M. .o.n. .d.a. .y. .a.n. .d. .T.u.e. .s.d.a. .y. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .d.). .2.8.t.h.A. .p. r.i.l . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... 16) Observe the given calendar and answer the following questions. a) How many days are there in FEBRUARY 2019 February 2019? SUN MON TUE WED THU FRI SAT b) What are the days on the 26th, 15th 12 and 11th of February 2019? 3 4 5 6 789 c) On which *date does the 1st Saturday 10 11 12 13 14 15 16 of February 2019 fall? 17 18 19 20 21 22 23 d) On which day does the 28th February 2019 fall? 24 25 26 27 28 (*Note: Replace ‘day’ with ‘date’) 18
Solution: . .a. .).2. 8. . d. .a. .y.s. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .b. .).T.u. .e.s.d. .a.y. ,. .F.r.id. .a.y. .a. .n.d. .M. . o. .n. d. .a. .y. r.e. .s.p.e. .c.t.iv. .e.l.y. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .c. .).2.n.d. .F.e. b. .r.u.a. .ry. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .d. .).T.h. .u.r.s.d.a. .y. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... Application Short Answer Questions 17) List out the birth dates of any four members of your family. Solution: . .L.e. .a.r.n.e. .r’.s. .r.e.s.p. .o.n. s. e. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... ...................................................................................... 18) Ritu is a school teacher. She has SEPTEMBER 2019 SAT holidays on Sundays. She also has 7 holidays on the second and the fourth SUN MON TUE WED THU FRI 14 Saturdays. How many total holidays 123456 21 does she have in September 2019? 28 8 9 10 11 12 13 Solution: . .S.u. n. .d. a. .y.s. .f.a.l.l .o.n. .1. .st., .8.t.h,. .1.5.t.h., . . . . . . . . . .2.2. n.d. .a.n. .d. .2.9. .th... . . . . . . . . . . . . . . . . . . . . . . 15 16 17 18 19 20 . .S.e. c. .o. .n.d. .a. .n.d. . f.o. .u.r.t.h. .S.a.t.u. .rd. .a. y. .s. . . . . 22 23 24 25 26 27 . .f.a.l.l .o.n. .1. .4.th. .a. n. .d. .2.8. .th. .re. .s.p.e. .c.t.i.v.e.l.y... . 29 30 . .T.h.e. .re. .f.o.r.e. ,. .R.i.tu. . h. .a. s. .7. .h.o. .li.d.a. .y.s. .in. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .t.h.e. .m. .o. .n.t.h. .o. .f.S.e. .p.t.e. .m. .b.e. .r.2. .0.1.9... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... WB: Shapes 19
Long Answer Questions 19) Anu wants to plan her holiday AUGUST 2019 to Hyderabad. On the calendar, mark the days for her holiday if she starts on SUN MON TUE WED THU FRI SAT a Saturday and ends on a Tuesday. 123 Anu has to take an overnight journey 4 5 6 7 8 9 10 from her place to Hyderabad. Solution: .A. .t.r.ip. . .st.a. .r.ti.n.g. . o. .n. .S.a. .t.u.r.d.a. .y. .w. .il.l . . . . . 11 12 13 14 15 16 17 .e. .n.d. .o. .n. .T.u.e. .s.d.a. .y... . . . . . . . . . . . . . . . . . . . 18 19 20 21 22 23 24 .S.a. .t.u.r.d.a. .y.s. .in. .t.h.e. . .g.i.v.e.n. . . . . . . . . . . . . . . 25 26 27 28 29 30 31 .m. .o. .n.t.h.:. .3.rd.,. .1.0.t.h,. .1.7.t.h., .2.4. t.h.,.3.1. .st. . . . . . . .T.u. e. .s.d. a. .y.s. .in. .t.h. .e. .g.i.v.e. .n. .m. .o.n. .th. .:.6. t.h.,.1.3. .th.,.2. .0.th.,.2. .7.th. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .A. .n.u. .’s. .t.ri.p. .c. .o.u. .ld. .b. .e. .p. .la. .n.n. e. .d. .f.o. r. .3.r.d.t.o. .6.t.h., .1.0. t.h. t.o. .1. .3.th.,. .1.7.t.h.t.o. .2.0. .th. o. .r.2. .4.th. .t.o. .2.7. t.h.. ...................................................................................... ...................................................................................... ...................................................................................... 20) Observe the given calendar and JULY 2019 answer the questions. SUN MON TUE WED THU FRI SAT a) On which date does the 1st 1 23456 Saturday of this month fall? 7 8 9 10 11 12 13 b) On which day does this month begin? 14 15 16 17 18 19 20 c) On which date is the second Friday? 21 22 23 24 25 26 27 d) On which day does the next month 28 29 30 31 begin? Solution: .a. .).6. t.h.J. u. .ly. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .b. .).M. .o. .n.d. .a.y. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .c. .).1.2. .th. .J.u.l.y. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .d. .).T.h. .u.r.s.d.a. .y. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... 20
Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Identify the leap year in the following years. 2013, 2016, 2019, 2022 Solution: .2. .0.1.3. .÷. .4. .=. .5.0. .3.;.R. .=. .1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2. .0.1.6. .÷. .4. .=. .5.0. .4.;.R. .=. .0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2. .0.1.9. .÷. .4. .=. .5.0. .4.;.R. .=. .3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2. .0.2.2. .÷. .4. .=. .5.0. .5.;.R. .=. .2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .T.h. .e. .y.e. .a.r. .2.0.1. 6. . w. .h. .e.n. .d. .iv. .id. .e.d. . b. .y. .4. .le. .a. v. .e.s. .n.o. .r.e. .m. .a.i.n.d. .e.r... . . . . . . . . . . . . . . . . . . . . . . . .T.h. .e.r.e. f.o. .re. .,.i.t.i.s.a. .l.e.a. .p. .y. e. .a. .r.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... Long Answer Question 22) Aditya was born on 29th February, 2000. He celebrates his birthday once in 4 years. Why? Solution: .A. .d. .it.y.a. .w. .a. .s. b. .o. .rn. .o. .n. .2.9. t.h.F.e. .b.r.u. a. .r.y.,.2. .0.0.0. .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .T.h. .e. .y.e. .a.r. .2.0.0. 0. .i.s.a. . .le. .a.p. .y. .e.a. .r.a. .s.i.t.i.s.d. .iv. i.s.ib. .le. . b. .y. .4... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .H. .e.n. .c.e. .,.F.e. .b.r.u. a. .r.y. .h.a. .s.2. 9. . d. .a. .y.s.i.n. .t.h.i.s.y.e. .a. r... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .A. . .le. .a.p. . y. .e.a. .r.o. .c.c. .u.r.s.o. .n.c. .e. .in. . f.o. .u.r. y. .e.a. .r.s.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .S. o. .,.A. .d. .it.y.a. .c. .e.l.e.b. .r.a.t.e. s. .h. i.s. b. .ir.t.h. d. .a. .y. o. .n. l.y. .o.n. .c.e. .i.n. .f.o.u. .r .y.e. .a.r.s... . . . . . . . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... WB: Shapes 21
Concept 7.2: Read Time Correct to the Hour Recall Multiple Choice Questions 1) The time 1 hour after 4 o’clock is ____________. [A ] [C ] (A) 5:00 (B) 6:00 (C) 3:00 (D) 4:00 [C] (D) 10:00 2) The time 3 hours before 12 o’clock is ______________. (D) 4 (A) 8:00 (B) 7:00 (C) 9:00 3) 5 o’clock is ______ hours after 3 o’clock. (A) 3 (B) 1 (C) 2 & Remembering and Understanding Multiple Choice Questions 4) If the minute hand is at 3 and the hour hand is at 9, the time is_________. [ B ] (A) 3:15 (B) 9:15 (C) 9:45 (D) 3:45 5) In the given clock, the number at which the minute hand points is ________. [A ] (A) 12 (B) 10 (C) 11 (D) 1 6) To get the minutes, we multiply the number at which the minute hand points by ________. [B ] (A) 10 (B) 5 (C) 12 (D) 24 Fill in the Blanks 7) At quarter past 5, the minute hand is at ___3____. 8) At half past 9, the hour hand is between 9 and __1_0___. 22
9) At quarter to 2, the minute hand is at ____9___. Very Short Answer Questions 10) On which number will the minute hand be if the time is 4:20? Solution: . 4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) How many minutes make an hour? Solution: . 6. .0. .m. .in. .u.t.e. s. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) How many small sections does a hand of a clock cover from 12 to 1? Solution: . 5. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 13) Write the positions of the hour and the minute hands. State the time. Solution: . T. h. .e. .m. .i.n.u. .te. . h. .a. n. .d. .i.s.o. .n. .9... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T. h. .e. .h. o. .u. r. .h.a. .n.d. . i.s. b. .e. .tw. .e. .e.n. .4. .a. .n.d. . .5... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T. h. .u.s.,. t.h. .e. .t.im. .e. . s.h. .o.w. .n. .i.s.4. .:4. .5... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14) Write the positions of the hour and the minute hands. State the time. Solution: . T. h. .e. .m. .i.n.u. .te. . h. .a. n. .d. .i.s.o. .n. .6... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T. h. .e. .h. o. .u. r. .h.a. .n.d. . i.s. b. .e. .tw. .e. .e.n. .4. .a. .n.d. . .5... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T. h. .u.s.,. t.h. .e. .t.im. .e. . s.h. .o.w. .n. .i.s.4. .:3. .0... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . WB: Shapes 23
Long Answer Questions 15) At which number is the minute hand pointing if the time given is as follows: a) 45 minutes b) 25 minutes c) 50 minutes d) 10 minutes Solution: . .T.o. .fi.n.d. . .th. .e. .m. .i.n.u. t.e. .s.w. .h. .e.n. .t.h. e. . .m. .in. .u.t.e. .h. a. .n. d. . .is. .a.t. .a. .n.u. .m. .b. .e.r.,.w. .e. .m. .u. .lt.ip. .ly. . . . . . . . . .b.y. .5. .. .S.o.,. .to. . .g.e. .t.t.h.e. . n. .u.m. . .b.e. .r.f.ro. .m. . .t.h.e. .g. .iv. e. .n. .m. .i.n.u. t.e. .s.,.w. .e. .m. .u. .s.t.d. .iv.i.d.e. . .b.y. .5... . . . . .a.). .4.5. .÷. .5. .=. .9... S. .o.,. t.h. .e. .m. .in. .u.t.e. .h. .a.n. .d. .is. .a. t. .9... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .b.). .2.5. .÷. .5. .=. .5... S. .o.,. t.h. .e. .m. .in. .u.t.e. .h. .a.n. .d. .is. .a. t. .5... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .c.). .5.0. .÷. .5. .=. .1.0... .S.o.,. .th. .e. .m. .i.n.u. t.e. . h. .a. n. .d. .i.s.a. .t.1. 0. ... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .d.). .1.0. .÷. .5. .=. .2... S. .o.,. t.h. .e. .m. .in. .u.t.e. .h. .a.n. .d. .is. .a. t. .2... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... 16) Write the time shown on these clocks in two different ways. a) b) c) d) Solution: . . . . . . . . . . .a. .). . . . . . . . . . . . . . . . . . . b. .). . . . . . . . . . . . . . . . . . . .c.). . . . . . . . . . . . . . . . . . . .d. ). . . . . . . . . . . . .A.). .2.:.1.5. . . . . . . . . . . . . . .A. .).5.:.3.0. . . . . . . . . . . . . . .A. .).2. .:4. 5. . . . . . . . . . . . . . .A. .). 1. .0.:.1.5. . . . . . . . . . . . . . .B.).Q. . u. .a. r.t.e. r. .p.a. .s.t. . . . .B.). .H.a. .lf. .p.a. .s.t.fi.v. .e. . . . .B.). .Q. .u.a. .r.te. .r.t.o. . . . . . . .B. .).Q. .u. .a.r.t.e.r. p. .a. .s.t. . . . . . . .t.w. .o. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .t.h.r.e.e. . . . . . . . . . . . . . . . .t.e. n. . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... 24
Application Short Answer Questions 17) Show the time as half past 1 on the clock. 18) Show the time as quarter to 4 on the clock. Long Answer Questions b) 5:30 19) Draw the hands of a clock to show: a) 2:15 WB: Shapes 25
20) Draw the hands of a clock to show: b) 8:15 a) 1:45 Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) The English class starts at 9:00 and ends at 9:30. The Science class starts at 9:30 and ends at 10:00. How long were both the classes individually? Solution: . T. h. .e. .s.t.a.r.t. t.i.m. .e. .o. .f.t.h.e. .E. .n.g. .lis.h. . c. .la. .s.s. i.s. 9. .:0. .0... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T. h. .e. .e. .n.d. .t.im. . .e. .is. .9.:.3.0... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T. h. .e. .l.e.n. g. .t.h. .o. f. .E.n. g. .li.s.h. .c. l.a. s.s. .=. .9.:.3.0. .–. .9.:.0.0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .=. .3.0. .m. .i.n.u. t.e. .s. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T. h. .e. r.e. .fo. .r.e.,.t.h. .e. .E.n. g. .li.s.h. .c.l.a. s.s. .w. .a. s. .f.o.r. .3.0. .m. .in. .u.t.e. .s.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T. h. .e. .s.t.a.r.t. t.i.m. .e. .o. .f.t.h.e. .S. c. .ie. .n.c. .e. .c. .la. .ss. .i.s.9.:.3.0. .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T. h. .e. .e. .n.d. .t.im. . .e. .is. .1.0. :.0.0. .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T. h. .e. .l.e.n. g. .t.h. .o. f. .S.c. i.e. n. .c.e. . c. .la. .s.s. =. . .1.0.:.0.0. .–. .9.:.3.0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .=. .3.0. .m. .in. .u.t.e. .s. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Therefore, the Science class was for 30 minutes. 26
Long Answer Question 22) The following table gives the start and the end times of a few of Afzal’s activities. Find the duration of each activity. a) Start time End time b) Start time End time Tennis practice Lunch c) Start time End time Playing chess Solution: . .a. ). . . . . T. e. .n.n. .is. .p. r.a. .c.t.ic. .e. :. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . S. .ta. .r.t.t.im. . .e. .=. .8.:.0.0. . . . . . . . . . . .E.n. d. . .ti.m. .e. .=. .8. .:3. .0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T. h. .e. .d. .u.r.a.t.i.o.n. .o. .f.t.e.n. .n.i.s.p. .ra. .c. .ti.c.e. . =. . .8.:3. .0. .–. .8.:0. .0. .=. .3.0. .m. .i.n.u. t.e. .s. . . . . . . . . . . . . . . . .b. ). . . . . L. .u.n.c. .h.:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . S. .ta. .r.t.t.im. . .e. .=. .2.:.1.5. . . . . . . . . . . .E.n. d. . .ti.m. .e. .=. .2. .:5. .0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T. h. .e. .d. .u.r.a.t.i.o.n. .o. .f.l.u.n.c. .h. .=. .2.:.5.0. .–. .2.:.1.5. .=. .3. 5. .m. . .in. u. .t.e.s. . . . . . . . . . . . . . . . . . . . . . . . . . . .c.). . . . . P. .la. .y.i.n.g. .c. .h.e. .s.s:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . S. .ta. .r.t.t.im. . .e. .=. .4.:.0.0. . . . . . . . . . . .E.n. d. . .ti.m. .e. .=. .4. .:4. .0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T. h. .e. .d. .u.r.a.t.i.o.n. .o. .f.p. .la. .y.in. .g. .c. .h.e. s.s. .=. .4.:.4.0. .–. .4.:.0.0. .=. .4. 0. .m. . .in. u. .t.e.s. . . . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... WB: Shapes 27
Chapter 8 Division Concept 8.1: Division as Equal Grouping Recall Multiple Choice Questions 1) 16 flowers are distributed equally among 4 groups. So, each group gets _________ flowers. [A] (A) 4 (B) 5 (C) 6 (D) 7 2) 8 pens are distributed equally between 2 people. So, each person gets ________ pens. [ B] (A) 2 (B) 4 (C) 6 (D) 8 3) The share of each student when 25 books are distributed equally among 5 students is _________ books. [C] (A) 3 (B) 4 (C) 5 (D) 6 & Remembering & Understanding Multiple Choice Questions 4) The number that is divided is called the _________. [ D] (D) dividend (A) remainder (B) divisor (C) quotient [ D] 5) In division, the number that divides is called the ________. (D) divisor (A) quotient (B) remainder (C) dividend [ A] (D) dividend 6) The number that remains is called the ___________. (A) remainder (B) divisor (C) quotient 30
Fill in the Blanks 7) Representing the dividend, divisor and quotient using symbols ‘÷’ and ‘=’ is called a _____d_i_v_is_i_o_n_________ fact. 8) We get two division facts from a ____m__u_l_ti_p_li_c_a__ti_o_n_____ fact. 9) Multiplication and _______d_iv__is_io__n_______ are reverse operations. Very Short Answer Questions 10) Write the dividend and quotient from the given division fact: 24 ÷ 6 = 4 Solution: .D. .iv. .id. .e.n. .d. .=. .2.4. ., .Q. .u.o. .t.ie. .n.t.=. . 4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Write the multiplicand and product from the given division fact: 48 ÷ 6 = 8 Solution: .M. .u. .lt.ip. .li.c. a. .n. d. . .=. .6.,.P. .ro. .d. u. .c.t. .=. .4.8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) Write the division facts for the multiplication fact: 7 × 3 = 21 Solution: .2. 1. .÷. .3. .=. .7. ., .2.1. .÷. .7. .=. .3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 13) Show the multiplication fact for 5 × 2 = 10 on the number line. Solution: 123 4 5 14) Show the multiplication fact for 3 × 5 = 15 on the number line. Solution: 1 23 Long Answer Questions 15) Show the reverse operations of multiplication and division using a number line. Use 2 5 = 10 as the multiplication fact. WB: Division 31
Solution: 5 5 2 × 5 = 10 10 ÷ 5 = 2 5 5 16) Write two division facts for each of the given multiplication facts. a) 2 × 8 =16 b) 4 × 5 = 20 c) 3 × 4 = 12 d) 5 × 8 = 40 Solution: . .a. .).1. 6. . ÷. .2. .=. .8. .; .1.6. .÷. .8. .=. .2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .b. .).2. 0. . ÷. .4. .=. .5. .; .2.0. .÷. .5. .=. .4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .c. .).1.2. .÷. .3. .=. .4. .; .1.2. .÷. .4. .=. .3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .d. .).4. 0. . ÷. .5. .=. .8. .; .4.0. .÷. .8. .=. .5. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... Application Short Answer Questions 17) 14 books are arranged equally on 2 shelves. How many books are there on each shelf? Solution: . .N. .u.m. .b. .e.r. .o.f. b. .o. .o.k.s. .=. .1.4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .N. .u.m. .b. .e.r. .o.f. s.h. .e.l.v.e. .s.=. .2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .N. .u.m. .b. .e.r. .o.f. b. .o. .o.k.s. .o.n. .e. .a. c. .h. .s.h.e. .lf. .=. .1.4. .÷. .2. .=. .7. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
. .S.o.,. .th. .e.r.e. .a. .re. . .7. .b.o. .o.k.s. .o.n. . e. .a. .c.h. .s.h. e. .lf... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... 18) 20 children are seated on a few benches. There are equal number of children on each bench. If there are 5 benches, how many children are seated on each bench? Solution: . .N.u. .m. .b. e. .r.o. .f.c. .h.i.ld. .re. .n. .=. .2.0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .N.u. .m. .b. e. .r.o. .f.b. .e.n. .c.h. .e.s. .=. .5. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .N.u. .m. .b. e. .r.o. .f.c. .h.i.ld. .re. .n. .o. n. . .e.a. .c.h. .b. .e.n. .c.h. .=. .2. .0. .÷. 5. . =. . 4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .S.o.,. .4. c. .h. i.ld. .r.e.n. .a. .re. . .s.e.a. .te. .d. .o. .n. .e.a. .c.h. . b. .e. .n.c. h. ... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Long Answer Questions 19) Navneet buys 16 packs of seeds from a nursery. Each pack has 4 seeds. He plants 2 seeds in each pot. How many pots does Navneet need? Solution: . .N.u. .m. .b. e. .r.o. .f.s.e. .e.d. . p. .a. .c.k.s. .=. .1.6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .N.u. .m. .b. e. .r.o. .f.s.e. .e.d. .s.i.n. .e.a. .c. h. . p. .a. .c.k. .=. .4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .T.o.t.a. l. .n.u. m. . .b.e. .r.o. .f.s.e.e. .d. s. .in. . .1.6. .p.a. .c. k. .s.=. .1. 6. . ×. . 4. . =. . 6. .4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .N.u. .m. .b. e. .r.o. .f.s.e. .e.d. .s.p. .la. .n.t.e. .d. .in. . e. .a. .c.h. .p. .o.t. .=. .2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .N.u. .m. .b. e. .r.o. .f.p. .o.t.s. .n.e. .e.d. .e.d. . =. . .6.4. .÷. .2. .=. .3.2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .T.h.e. .re. .fo. .r.e.,. N. .a. .v.n. e. .e. .t.n.e. .e.d. .s. .3.2. .p.o. .t.s.f.o. r. .6.4. .s.e. e. .d. .s.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... 20) Venu buys 2 boxes of pencils. Each box has 12 pencils in it. He distributes the pencils equally among 6 children. How many pencils does each child get? Solution: . .N.u. .m. .b. e. .r.o. .f.p. .e.n. .c.i.l .b. o. .x.e. .s.=. .2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .N.u. .m. .b. e. .r.o. .f.p. .e.n. .c.i.ls. .in. .e. .a.c. .h. .b. .o.x. .=. .1.2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .T.o.t.a. l. .n.u. m. . .b.e. .r.o. .f.p. .e.n. c. .il.s. i.n. .2. .b. o. .x.e. .s.=. .1. .2. ×. . .2. =. . 2. .4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2.4. .p. e. .n.c. .il.s.a. .r.e. .d.i.s.tr.i.b.u. .te. .d. .e. .q.u. .a.l.ly. .a. .m. .o. n. .g. .6. .c. h. .il.d. r.e. .n... . . . . . . . . . . . . . . . . . . . . . . . . . . . .N.u. .m. .b. e. .r.o. .f.p. .e.n. .c.i.ls. .e.a. .c.h. . c. .h.i.ld. . g. .e. .ts. .=. .2.4. .÷. .6. .=. .4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .T.h.e. .re. .fo. .r.e.,. e. .a. .c.h. .c. .h.i.ld. .g. .e.t.s. .4. .p.e. .n.c. .il.s.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . WB: Division 33
Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Beena spends 21 hours a week practising music and 28 hours a week studying. How much time does she spend in a day for these activities? (Hint: 1 week = 7 days. Consider all the 7 days.) Solution: . .T.im. . .e. .s.p.e. .n.t. .fo. .r.m. .u. .s.ic. .p. .r.a.c. .ti.c. e. . .p.e. .r.d. .a.y. .=. .2. 1. .h. .o.u. .rs. .÷. .7. .=. .3. .h.o. .u.r.s. . . . . . . . . . . . . . . . . .T.im. . .e. .s.p.e. .n.t. .fo. .r.s.t.u.d. .y.i.n.g. .p. .e.r. .d.a. .y. .=. .2.8. .h. o. .u.r.s. .÷. .7. =. . 4. . h. .o.u. .rs. . . . . . . . . . . . . . . . . . . . . . . . . .T.h.u. .s.,.t.o.t.a. .l .t.im. .e. .s.p. .e.n. .t.b. .y. .B.e. e. .n. a. . .in. .a. . d. .a. .y. =. . .3. h. .o. u. .r.s.+. .4. .h. o. .u. r.s. .=. .7. .h.o. .u.r.s. . . . . . . . . .T.h.e. .r.e.f.o.r.e. ., .B.e. .e.n. .a. .s.p.e. .n.d. .s.7. .h. .o.u. .rs. .in. . a. . .d.a. .y. .t.o. .s.tu. .d. y. .a. .n.d. . .to. . p. .r.a.c. .t.is.e. .m. .u. .s.ic. ... . . Long Answer Question 22) Vijay bought a book for ` 24, a ruler for ` 14 and a pen for ` 18. Three of his friends shared the cost equally with him. How much money did each of Vijay’s friends give him? Solution: . .C. .o.s.t. .o.f. .a. .b.o. .o. k. .=. .`. .2.4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .C. .o.s.t. .o.f. .a. .ru. .le. .r.=. .`. .1.4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .C. .o.s.t. .o.f. .a. .p.e. .n. .=. .`. .1.8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .T.o. t.a. .l .c. o. .s.t.=. .`. .2. .4. +. . `. .1. .4. .+. .`. 1. .8. .=. .`. 5. .6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .T.h.r.e. .e. .o.f. .h.is. .f.ri.e. n. .d. s. .s.h.a. .r.e. .t.h.e. .c. .o.s.t. e. .q. .u.a. .lly. . w. .i.t.h. .h.i.m. ... . . . . . . . . . . . . . . . . . . . . . . . . . . . . .T.h.e. .r.e.f.o.r.e. ., .t.h.e. .t.o. t.a. .l.c. o. .s.t.i.s.s.h. .a.r.e. d. . .a.m. . o. .n. g. . .4. .p.e. .rs.o. .n.s. .(.V.i.ja. .y. .a.n. .d. .t.h.r.e.e. . o. .f.h. .is. . . . .f.ri.e.n. .d.s.)... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .C. .o.s.t. .p.a. .id. . .b.y. .e. .a.c. .h. .o.f. .th. .e.m. . .=. .`. .5.6. .÷. .4. .=. .`. .1.4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .H. e. .n. c. .e. ,. .e.a. .c.h. . o. .f.h. .is. .fr.i.e.n. .d.s. .g.i.v.e. .s.h. i.m. . .`. .1.4... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... 34
Concept 8.2: Divide 2-digit and 3-digit Numbers by 1-digit Numbers Recall Multiple Choice Questions 1) 21 ÷ 3 = ________ [D] [A] (A) 1 (B) 9 (C) 8 (D) 7 [B] (D) one 2) Every division fact has ________________ multiplication facts. (D) 6 (A) two (B) four (C) three 3) 16 ÷ 4 = ________ (A) 3 (B) 4 (C) 5 & Remembering & Understanding Multiple Choice Questions 4) The quotient in 45 ÷ 5 is _________. [D] [B] (A) 1 (B) 8 (C) 7 (D) 9 [C] (D) 8 5) The remainder when 81 is divided by 9 is _________. (D) 8 (A) 9 (B) 0 (C) 1 6) The quotient when 42 is divided by 6 is _________. (A) 6 (B) 5 (C) 7 Fill in the Blanks 7) The quotient when a number is divided by itself is always _________1________. 8) The remainder when 37 is divided by 5 is ________2_________. 9) The quotient is ________9_________ when 18 is divided by 2. Very Short Answer Questions 10) Divide 24 by 4. WB: Division 35
)Solution: . . . . . . .6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 24 . . . .−. 2. .4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0. .0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... 11) Solve: 63 ÷ 9 )Solution: . . . . . . .7. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 63 . . . .−. .6.3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .0.0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... 12) Divide 15 by 5. )Solution: . . . . . . .3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 15 . . . .−. .1.5. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .0.0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... Short Answer Questions 13) Divide 95 by 8. Write the quotient and the remainder. )Solution: . . . . . .1. .1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 95 . . . .−. .8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1. .5. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .−. . .0.8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 07 ...................................................................................... . . .Q. .u.o. .ti.e.n. .t.=. .1. 1. .,.R. e. .m. .a. .in. .d.e. .r.=. .7. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14) Divide 67 by 4. Write the quotient and the remainder. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
. . . .1.6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4)67 . . .−.4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2.7. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .−.02.36. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... . .Q. .u. .o.t.ie. .n.t. .=. .1.6.,. .R.e. m. . .a.i.n.d. .e.r. .=. .3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... ...................................................................................... Long Answer Questions 15) Divide 378 by 3 and check your answer. Solution: . .D. .iv. i.d. e. .n. d. . .=. .D. i.v.i.s.o.r. ×. . Q. . .u.o. t.i.e.n. .t.+. .R. .e.m. .a. .in. .d.e. .r. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1.2. .6. . . . )3 378 . . . .3.7. 8. . . . . . .=. . . .1.2.6. .×. .3. .+. .0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .−. .3. . . . . . . . . . .3.7. 8. . . . . . .=. . . . 3. .7.8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .−. . . 6. . . . . . 18 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . −. . .1.8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .0.0. . . ...................................................................................... ...................................................................................... ...................................................................................... 16) Divide 684 by 6 and check your answer. Solution: . . .D. .iv.i.d. e. .n.d. . .=. .D. i.v.i.s.o.r.×. . Q. . u. .o. t.i.e.n. .t.+. .R. e. .m. .a. .in. .d.e. .r. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1. .1.4. . . . ). 6 684 6. .8.4. .=. .6. .×. .1.1.4. .+. .0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . −. . .. . . . . . 6 . . . . . 6. .8.4. . . . . .=. . . .6. .8.4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .0.8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .−. . .0.6. . . . . 24 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . −. . .2. 4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .0.0. . . ...................................................................................... WB: Division 37
...................................................................................... ...................................................................................... ...................................................................................... Application Short Answer Questions 17) Ram has 40 chocolates. He wants to distribute them equally among 5 children. How many chocolates will each child get? Solution: . .N.u. .m. .b. .e.r. o. .f.c. .h.o. .c.o. .la. .t.e.s. .=. .4.0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .8. . . ). .N.u. .m. .b. .e.r. o. .f.c. .h.i.ld. .re. .n. .=. .5. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 40 . .−. .4.0. . . .N.u. .m. .b. .e.r. o. .f.c. .h.o. .c.o. .la. .t.e.s. .e.a. .c.h. .c. .h.i.ld. . g. .e. .ts. .=. .4.0. .÷. .5. . . . . . . . . . . . . . . . . . . . . . . . . . . . .0.0. . . . .T.h.e. .re. .f.o.r.e.,. .e.a. .c.h. .c. .h.i.ld. .w. .i.ll.g. .e.t. .8. .c.h. .o.c. .o.l.a.t.e. .s.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... ...................................................................................... 18) Rita brought 32 laddoos for her birthday. She wants to give 2 laddoos to each student. How many students will get laddoos from Rita? Solution: . .N.u. .m. .b. .e.r. o. .f.s.t.u. d. .e. .n.t.s.=. .3. .2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1.6. . . . )2 32 . .N.u. .m. .b. .e.r. o. .f.l.a.d. .d. .o.o. .s.e. .a.c. .h. .o.n. .e. .w. .il.l .g. e. .t.=. . 2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .−. .2. . . . . . .N.u. .m. .b. .e.r. o. .f.s.t.u. d. .e. .n.t.s.w. .h. .o. .w. .il.l .g.e. .t.l.a.d. .d. .o.o. .s.f.r.o.m. . .R.i.t.a. .=. .3.2. .÷. .2. .=. .1.6. . . . . . . . . .1.2. . . . . .T.h.e. .re. .f.o.r.e.,. .1.6. .s.tu. .d. e. .n.t.s. .w. .il.l .g.e. .t.l.a.d. .d. o. .o. s. .f.ro. .m. . .R.i.ta. ... . . . . . . . . . . . . . . . . . . . . . . .−. .1.2. . . . 00 ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... Long Answer Questions 19) 734 oranges have to be packed in 6 boxes equally. How many oranges can be packed in 1 box? How many oranges are left after packing? 38
Solution: . .N. u. .m. .b. .e.r. o. .f. o. .r.a.n. .g.e. .s.=. .7. .3.4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .N. u. .m. .b. .e.r. o. .f. b. .o. x. .e.s. .=. .6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1.2.2. . . . ). 6 734 .N. u. .m. .b. .e.r. o. .f. o. .r.a.n. .g.e. .s.i.n. .e.a. .c.h. . b. .o. .x.=. . 7. .3.4. .÷. .6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. ..... . . −6 . .T.h.e. .re. .f.o.r.e.,. .1.2.2. .o. .ra. .n.g. .e. s. .w. .il.l.b. .e. .fi.ll.e.d. . .in. .e. .a.c. .h. .b.o. .x... . . . . . . . . . . . . . . . . . . . . . . . .1. .3. . . . . .2. .o.r.a. n. .g. e. .s. .w. i.ll. b. .e. .l.e.f.t... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .−. .1. 2. . . . . 14 ...................................................................................... − 12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .0. 2. . . ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... 20) 432 students took part in the inter-school sports competitions. There were 8 students from each school. How many schools took part in the competitions? Solution: . .N. u. .m. .b. .e.r. o. .f. s.t.u. d. .e. .n.t.s.w. .h. .o. .t.o.o. .k. .p.a. .rt. .in. .i.n.t.e. .r-.s.c. h. .o.o. .l.s.p. o. .r.ts. . . . . . . . . . . . . . . . . . . . . . . . . .c.o. .m. .p. .e.t.it.i.o.n. s. .=. .4.3. .2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .0. 5. .4. . . ). 8 432 .N. u. .m. .b. .e.r. o. .f. s.t.u. d. .e. .n.t.s. f.r.o.m. . .e. .a.c. .h. .s.c.h. .o.o. .l .=. .8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .−. .0. . . . . . . .T.o.t.a. .l .n.u. .m. .b.e. .r.o. .f.s.c. h. .o. o. .ls. .t.h.a. .t.t.o. .o.k. .p. a. .r.t.i.n. .th. .e. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .4.3. . . . . .c.o. .m. .p. .e.t.it.i.o.n. s. .=. .4.3. .2. .÷. .8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .−. . .4.0. . . . 32 . .T.h.e. .re. .f.o.r.e.,. .5.4. .s.c.h. .o.o. .ls. .t.o.o. .k. p. .a. .rt. .in. .t.h. e. . .c.o. .m. .p.e. .t.it.io. .n.s... . . . . . . . . . . . . . . . . . . .−. . . .3.2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .0.0. . . ...................................................................................... ...................................................................................... ...................................................................................... Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Solve: 706 ÷ 7 WB: Division 39
Solution: . . . .1.0.0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ). .7. .7.0. .6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .−. .7. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 00 . .−. . .0.0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0. .6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .−. . . . .0.0. . . . . . . . . . Q. . u. .o. t.i.e.n. .t.=. 1. .0.0.,. .R.e. .m. .a.i.n.d. .e.r. .=. .0.6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 06 ...................................................................................... Long Answer Question 22) Solve: a) 408 ÷ 3 b) 909 ÷ 5 ) )Solution: . a. .). . . . .1.3. 6. . . . . . . . . . . . . .b. .). . . . . .1. 8. .1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 408 5 909 . . . . . .−. .3. . . . . . . . . . . . . . . . . . . . . .. ... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . − 5 . . . . . . . .1.0. . . . . . . . . . . . . . . . . . . . . . .4. .0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .−. . .0. .9. . . . . . . . . . . . . . . . . . .−. . .4. .0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 . . . . . . .− . . ... . . . . . . . . . . . . . . . . . . . . . .0.9. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 18 . . . . . . . .0.0. . . . . . . . . . . . . . . . . . .−. . . .0.5. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 04 ...................................................................................... . .Q. .u.o. .t.ie. .n.t. =. . 1. .3.6. . . . . . . . . . .Q. . u. .o.t.i.e.n. .t.=. .1.8. .1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .R.e. .m. .a. .in. d. .e. .r .=. .0. . . . . . . . . . .R. .e.m. . a. .i.n.d. .e.r. =. . 0. .4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... ...................................................................................... 40
Chapter 9 Fractions Concept 9.1: Fraction as a Part of a Whole Recall Multiple Choice Questions 1) The figure is divided into ___ equal parts. [C ] [D] (A) 3 (B) 2 (C) 4 (D) 5 [B ] (D) 3 2) The figure is divided into ___ equal parts. (D) 5 [A ] (A) 5 (B) 4 (C) 2 3) The figure is divided into ___ equal parts. (A) 3 (B) 2 (C) 4 & Remembering & Understanding Multiple Choice Questions is _________. 4) The fraction of the shaded part in (A) 4 (B) 5 (C) 6 (D) 7 8 8 8 8 1
5) The fraction of the unshaded part in is _________. [B] (D) 1 (A) 3 (B) 2 (C) 3 3 3 3 4 6) The fraction of the shaded part in is _________. [B ] (A) 1 (B) 1 (C) 1 (D) 1 3 2 4 5 Fill in the Blanks 7) Two out of four equal parts are called ________t_w__o_-_f_o_u_r_t_h_s________. 8) A complete or a full object is called a ___________w__h_o__le___________. 9) Numbers of the form Numerator are called __________f_r_a_c__ti_o_n_s_________. Denominator Very Short Answer Questions 2 10) Write the numerator and denominator of the fraction . 3 Solution: .n. .u.m. .e. .r.a.t.o. r. .=. .2.,. d. .e. n. .o. m. . .in. a. .t.o. r. .=. .3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Divide the given figure into two equal parts. 12) Write the fraction for the shaded part. Solution: . . .2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Short Answer Questions 13) Write the fractions of the shaded parts of the following figures. a) b) 2
Solution: . .a.). 3 . . . . . . . . .b.). 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ... .8. . 8 ...................................................................................... 14) Write the fractions of the unshaded parts in the following figures. a) b) Solution: . .a.). 2 . . . . . . . . .b.). 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .6. . .2. . ...................................................................................... Long Answer Questions 15) Write the fraction of each colour in the following figures. a) b) Solution: . .a.). .W. .h. i.t.e. .p. a. .r.t.s:. .6.;.G. .r.e. .y. p. .a. .rt.s.:.3. .; .T.o.t.a. .l .n.u. .m. .b. e. .r.o. .f.p. .a.r.t.s.:.9. . . . . . . . . . . . . . . . . . . . . . . . . . . . .F.r.a.c. .t.io. .n. .o.f. .p.a. .rt.s. .c.o. .lo. .u.r.e. d. . .w. .h.it.e. . =. . .6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 ...................................................................................... . . . . .F.r.a.c. .t.io. .n. .o.f. .p.a. .rt.s. .c.o. .lo. .u.r.e. d. . .g.r.e. y. .=. . .3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 ...................................................................................... . .b.). .W. .h. i.t.e. .p. a. .r.t.: .1.;.G. . r.e. .y. p. .a. .rt.:. 1. .;.B.l.a. c. .k. .p.a. .r.t:. .1.;.T.o. .t.a.l.n. .u.m. .b. .e.r. .o.f. .p.a. .rt.s.:. 3. . . . . . . . . . . . . . . .F.r.a.c. .t.io. .n. .o.f. .p.a. .rt.s. .c.o. .lo. .u.r.e. d. . .w. .h.it.e. . =. . . 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3. . ...................................................................................... . . . . .F.r.a.c. .t.io. .n. .o.f. .p.a. .rt.s. .c.o. .lo. .u.r.e. d. . .g.r.e. y. .=. . .1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 ...................................................................................... . . . . .F.r.a.c. .t.io. .n. .o.f. .p.a. .rt.s. .c.o. .lo. .u.r.e. d. . .b.l.a.c. .k. .=. 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3. ...................................................................................... ...................................................................................... ...................................................................................... WB: Fractions 3
16) Rahul paints a strip of cardboard as shown in the figure. Blue Yellow White Red Green 3 cm 5 cm 6 cm 2 cm 4 cm What is the total length of the strip? Write the fraction of each colour on the strip. Solution: .T.o. .t.a.l.l.e.n. .g.t.h. .o. .f.t.h.e. . s.t.r.ip. . .=. .3. c. .m. . .+. .5. .c.m. . .+. .6. .c. .m. . +. . .2. c. .m. . .+. .4. .c.m. . .=. .2. 0. .c. .m. . . . . . . . . . .F. r.a. .c.t.i.o.n. s.:. .B.lu. .e. .c. .o.l.o.u. r.e. .d. .p. a. .r.t.: . .3. . .; .Y.e. .ll.o.w. . .c.o. .lo. .u.r.e. d. . .p.a. .r.t:. . .5. .;. . . . . . . . . . . . . . . . . . 20 20 ...................................................................................... .W. . .h.it.e. . c. .o. l.o. u. .r.e.d. .p. .a. r.t.:. . 6. . .;. R. .e.d. . .c.o. .lo. .u.r.e.d. . p. .a. .rt.:. . .2. .;. .G. .re. .e.n. .c. .o. l.o. u. .re. .d. .p. .a. r.t.:. . 4. . . 20 20 20 ...................................................................................... Application Short Answer Questions 3 17) Shade a circle to represent the given fractions: 4 a) b) 1 3 18) Represent these fractions in the given rectangle. 1 5 a) 3 b) 4 4
Long Answer Questions 19) Colour these shapes as per the fractions given. a) Red Green 1 = Green, 1 = Blue, 3 = Red Red 5 5 5 Blue Red b) 1 = Yellow, 3 = Blue Blue 4 4 Yellow Blue Blue c) OrangeBlue Blue 1 = Pink, 2 = Orange, 5 = Blue Orange Blue Blue 88 Pink Blue 8 d) Yellow Blue Red 2 2 2 6 6 6 = Yellow, = Red, = Blue Red Blue Yellow 20) Divide these circles into the given number of equal parts. a) 2 b) 4 WB: Fractions 5
c) 6 d) 8 Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) Answer the following questions. a) How many one-fourths are there in a whole? b) How many one-eighths are there in a whole? Solution: . .a.). .T.h.e. .re. . .a.r.e. .4. .o. n. .e. -.f.o. u. .r.th. .s.i.n. .a. .w. .h. o. .le. ... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .b.). .T.h.e. .re. . .a.r.e. .8. .o. n. .e.-.e. .ig. .h.t.h.s. .in. . a. . .w. .h.o. .le. .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... ...................................................................................... Long Answer Question 22) A list of flowers is given below. Aster Daffodils Marigold Violets Bluebells Dahlia Rose Lily Chameli Gulmohar Sunflower Water lily Champa Jasmine Tulip Lotus What fraction of the list has names that begin with the following letters. a) C b) D c) L d) V Solution: . .T.o.t.a. l. .n.u.m. . .b.e. .r.o. f. .fl.o. .w. e. .r.s.=. .1. .6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
. .a. .).N. .u.m. . b. .e. .r .o. f. .fl.o. w. .e. .r.s.w. .h. o. .s.e. .n. a. .m. .e. .s.b. .e. g. .in. . w. . i.t.h. .C. .i.s.2. .; .f.ra. .c.t.i.o.n. .=. . .2. . . . . . . . . . . . 16 ...................................................................................... . .b. .).N. .u.m. . b. .e. .r .o. f. .fl.o. w. .e. .r.s.w. .h. o. .s.e. .n. a. .m. .e. .s.b. .e. g. .in. . w. . i.t.h. .D. .i.s.2. ;. .fr.a. .c.t.io. .n. .=. . .2. . . . . . . . . . . . 16 ...................................................................................... . .c. .).N. .u.m. .b. .e. r. .o.f. .fl.o.w. .e. .rs. .w. .h.o. .s.e. .n.a. .m. .e. .s.b. .e.g. .in. . w. .i.t.h. .L.i.s.2. .;.f.ra. .c. t.i.o.n. .=. . .2. . . . . . . . . . . . . 16 ...................................................................................... . .d. .).N. .u.m. . b. .e. .r .o. f. .fl.o. w. .e. .r.s.w. .h. o. .s.e. .n. a. .m. .e. .s.b. .e. g. .in. . w. . i.t.h. .V. .is. .1.;. .fr.a. .c.t.io. .n. .=. . .1. . . . . . . . . . . . 16 ...................................................................................... ...................................................................................... ...................................................................................... WB: Fractions 7
. .a. .).N. .u.m. . b. .e. .r .o. f. .fl.o. w. .e. .r.s.w. .h. o. .s.e. .n. a. .m. .e. .s.b. .e. g. .in. . w. . i.t.h. .C. .i.s.2. .; .f.ra. .c.t.i.o.n. .=. . .2. . . . . . . . . . . . 16 ...................................................................................... . .b. .).N. .u.m. . b. .e. .r .o. f. .fl.o. w. .e. .r.s.w. .h. o. .s.e. .n. a. .m. .e. .s.b. .e. g. .in. . w. . i.t.h. .D. .i.s.2. ;. .fr.a. .c.t.io. .n. .=. . .2. . . . . . . . . . . . 16 ...................................................................................... PREVIOUS CONCEPT. .c. .).N. .u.m. .b. .e.r. .o.f. .fl.o.w. .e. .rs. .w. .h.o. .s.e. .n.a. .m. .e. .s.b. .e.g. .in. .w. .i.t.h. .L.i.s.2. .;.f.ra. .c. t.i.o.n. .=. . .2. . . . . . . . . . . . . 16 ...................................................................................... . .d. .).N. .u.m. . b. .e. .r .o. f. .fl.o. w. .e. .r.s.w. .h. o. .s.e. .n. a. .m. .e. .s.b. .e. g. .in. . w. . i.t.h. .V. .is. .1.;. .fr.a. .c.t.io. .n. .=. . .1. . . . . . . . . . . . 16 ...................................................................................... ...................................................................................... ...................................................................................... Concept 9.2: Fraction of a Collection Recall Multiple Choice Questions is _____. [A] 1) The fraction of one ball among (D) 3 (A) 1 (B) 1 (C) 2 5 5 6 5 2) The fraction of two bats among is _____. [ B] 1 2 3 4 (A) (B) (C) (D) 7 7 7 7 (C) 1 (D) 1 3) The fraction of one helmet in is ___. [ D ] 7 6 (A) 1 (B) 2 5 6 WB: Fractions 7
& Remembering & Understanding Multiple Choice Questions 4) The fraction of squares in is _______. [ A] (A) 3 (B) 3 (C) 4 (D) 3 6 5 6 7 5) The fraction of triangles in is _______. [ D] (A) 1 (B) 1 (C) 1 (D) 1 4 7 5 6 6) The fraction of circles in is ________. [ A] (A) 1 (B) 1 (C) 1 (D) 1 2 3 1 4 Fill in the Blanks 7) The fraction of grey balloons in is ___3___. 6 8) The fraction of black balloons in is ___4___. 7 9) The fraction of one kite among Very Short Answer Questions is ___1___. 5 10) What is the fraction of one tomato among ? Solution: . .1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 11) What is the fraction of two bananas in ? 2 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 12) Colour the number of balls if the fraction is 6 . 8
Short Answer Questions 13) What fraction of the collection represents the following circles. a) shaded b) not shaded Solution: . .T.o.t.a. .l .n.u. .m. .b. e. .r.o. .f.c. .ir.c.l.e.s. .=. .1.7. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .a. ). .N. .u.m. .b. .e.r. .o.f. .c.i.rc. .le. .s.s.h. .a.d. .e.d. . .=. .9.;.F.r.a. .c.t.io. .n. .o. f. .s.h.a. .d.e. .d. .c. .ir.c.l.e.s. .=. . .9. . . . . . . . . . . . . . 17 . .b. ). .N. .u.m. .b. .e.r. .o.f. .c.i.rc. .le. .s.n. .o.t. .s.h.a. .d.e. .d. .=. .1.7. .–. .9. .=. .8. . . . . . . . . . . . . . . . . . . . .... . . . . . . . . . . . . . . . . .S.o. .,.f.ra. .c. .ti.o.n. . o. .f.c. .ir.c. l.e. s. .n. o. .t.s.h. .a.d. .e.d. . .=. . .8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 14) Find a half of each of these collections. Write the number of objects in each half of the collection. a) b) Solution: . .a. ). .T.o. t.a. .l.n.u. .m. .b. .e.r.o. .f.k. i.t.e.s. .is. .1.4... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .H. .a.l.f.o. .f.1.4. .i.s.1. 4. . ÷. .2. .=. .7. .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .T.h. e. .r.e.f.o. r.e. .,.h.a. .lf. .o.f. .th. .e. .g. .iv.e. .n. .c. o. .ll.e. c. .t.io. .n. .is. .7. .k.it.e. .s.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .b. ). .T.o. t.a. .l.n.u. .m. .b. .e.r.o. .f.p. .e.n. .c.i.ls. .is. .1.8... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .H. .a.l.f.o. .f.1.8. .i.s.1. 8. . ÷. .2. .=. .9. .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .T.h. e. .r.e.f.o. r.e. .,.h.a. .lf. .o.f. .th. .e. .g. .iv.e. .n. .c. o. .ll.e. c. .t.io. .n. .is. .9. .p.e. .n.c. .il.s.. . . . . . . . . . . . . . . . . . . . . . . . . . . Long Answer Questions 15) Write the fraction of each type of shade in these collections. a) b) WB: Fractions 9
Solution: Collection =3 =4 =2 =3 a) Total 3 + 4 + 2 + 3 = 12 2 3 12 12 Fractions 34 =4 12 12 4 Collection =7 =2 =3 16 b) Total 7 + 2 + 3 + 4 = 16 3 Fractions 16 1 Fractions 7 2 6 16 16 1 7 16) Circle the objects according to the given fractions. Objects 2 3 a) 4 7 b) c) d) Application Short Answer Questions 17) Hema bought 45 bangles. Out of these, 1 bangles are red. How many bangles 3 are red? Solution: . .T.o.t.a. l. .n.u.m. . .b.e. .r.o. f. .b. a. .n. g. .le. .s. .=. .4.5. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .F.ra. .c. t.i.o.n. .o. .f.r.e. d. . .b.a. .n.g. .le. .s.=. . .1. . .o.f. 4. .5. .=. .4.5. .÷. .3. .=. .1.5. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 ...................................................................................... . .T.h.e. r.e. .fo. .r.e.,. 1. .5. .b.a. .n.g. .le. .s.a. .r.e. .re. .d. .i.n. .c.o. .lo. .u.r... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
18) Sravya purchased 16 ice creams out of which 1 is of vanilla flavour. How many 4 ice creams are of vanilla flavour? Solution: .T.o. .t.a.l.n. .u.m. .b. .e. r. .o.f. .ic. .e. .c.r.e. .a.m. .s. .=. .1.6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .F. r.a. .c.t.i.o.n. .o. .f.v.a. .n.i.ll.a. .ic. .e. .c. .re. .a.m. . .s.=. . .1. .o. .f.1. 6. . =. . 1. .6. .÷. .4. .=. .4. . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 ...................................................................................... .T.h. .e.r.e. f.o. .re. .,.4. .i.c.e. .c. .r.e.a. .m. .s.a. .r.e. .o.f. .v.a. .n.il.la. . .fl.a.v. .o.u. .r.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... Long Answer Questions 19) Observe the following items and answer the questions given. ` 16 for a kilo ` 15 for a bunch pear 11 roses a) How much does and of a kilogram of pear cost? 24 b) What is the cost of 1 and 1 of the total bunches of roses? 35 Solution: .a. .). C. .o. .s.t.o. .f.a. .k. i.lo. . .p.e. .a.r. .=. .`. 1. .6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .C. o. .s.t.o. .f.h. .a.l.f.a. .k. i.lo. . .p.e. .a.r. .=. 1 .o. f. .`. .1.6. .=. .`. .1.6. .÷. .2. .=. .`. .8. . . . . . . . . . . . . . . . . . . . . . . . . . . .2. . ...................................................................................... . . . . .C. o. .s.t.o. .f. .1. .o. .f.a. . k. .il.o. .p.e. .a. r. .=. .`. .1.6. .÷. .4. .=. .`. .4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 ...................................................................................... .b. .). C. .o. .s.t.o. .f.a. .b. .u.n. .c.h. .o. .f.fl.o. .w. .e.r.s. .=. .`. 1. .5. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................... . . . . .C. o. .s.t.o. .f. .1. .o. .f.a. . .b.u. .n.c. h. . o. .f. fl. .o.w. .e. r.s. .=. .`. .1.5. .÷. .3. .=. .`. .5. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 ...................................................................................... . . . . .C. o. .s.t.o. .f. .1. .o. .f.a. . .b.u. .n.c. h. . o. .f. fl. .o.w. .e. r.s. .=. .`. .1.5. .÷. .5. .=. .`. .3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 ...................................................................................... ...................................................................................... ...................................................................................... WB: Fractions 11
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