18) Anu cut 1 m of a cloth for a shirt and 2 2 m of the cloth for a skirt. How much cloth did 43 she cut in all? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 19) In Shimla, it snowed 2 1 inches in the afternoon and 8 1 inches at night. What was the 33 total amount of snowfall? If it snowed 30 inches the day before, how much more did it 3 snow on that day? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - II 49
20) While recording the stock at his pastry shop, Raj realises that he had 9 5 boxes of baking 6 powder on Saturday and 8 1 2 boxes on Sunday. How much more baking powder did Raj have on Saturday than on Sunday? What is the total number of boxes Raj had before Saturday? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) By how much is 22 2 greater than 18 1 ? 64 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. 50 NR_181910041_BGM_Maple G5_Workbook Maths_Term2_text.pdf 52 2/17/2018 11:39:38 AM
................................................................................. ................................................................................. Long Answer Question 22) Sheela cut a rope into two pieces. The first piece was 33 1 inches long. The second 4 piece was 17 1 inches long. How long was the rope before Sheela cut it? 3 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Concept 10.2: Multiply Fractions Recall Multiple Choice Questions 1) A fraction is said to be in its lowest terms if its numerator and denominator do not have any common factor other than ___________________. [] (A) 1 (B) 2 (C) 3 (D) 4 2) A fraction can be reduced to its lowest terms using H.C.F. or _______________. [] (A) multiplication (B) addition (C) division (D) subtraction Fractions - II 51 NR_181910041_BGM_Maple G5_Workbook Maths_Term2_text.pdf 53 2/17/2018 11:39:38 AM
3) 7 can be reduced to its lowest terms as ______________________. [] 49 (A) 49 (B) 1 (C) 7 (D) 1 7 49 1 7 & Remembering and Understanding Multiple Choice Questions 4) 1× 18 = [] 3 6 (A) 4 (B) 3 (C) 2 (D) 1 5) 1 × 25 = [] [] 53 (A) 5 (B) 3 (C) 5 (D) 15 3 5 15 5 6) 7 × 5 = 5 21 (A) 1 (B) 1 (C) 1 (D) 1 5 3 7 21 Fill in the Blanks 7) 1 × 4 = _______ 4 8) A whole number is a fraction with denominator ____________. 9) Before multiplying mixed numbers, we convert them into _____________________ fractions. Very Short Answer Questions 10) Find the product: 2 × 4 35 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Find the product: 3 × 2 51 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) Find 1 of 30. 3 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 2/17/2018 11:39:38 AM NR_181910041_BGM_Maple G5_Workbook Maths_Term2_text.pdf 54
Short Answer Questions 13) Solve: a) 45 × 4 b) 10 × 5 5 8 21 7 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 14) Solve: a) 6 × 9 b) 15 × 12 48 5 54 2 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Long Answer Questions 15) Solve: a) 55 × 4 b) 38 × 4 c) 24 × 4 d) 10 × 90 22 35 24 19 50 10 3 30 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - II 53
16) Find the products: a) 35 × 9 b) 44 × 21 c) 55 × 55 d) 17 × 14 8 11 78 10 21 22 27 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Application Short Answer Questions 17) Mansingh had 1 of a large pizza. He gave 2 of his share to his sister. How much of the 25 whole pizza did Mansingh's sister get? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 18) During a picnic, Teena's team received 2 of the total food. The food was further divided 7 among the team members and Teena received 2 of her team's share. What fraction of 9 the total food did Teena get? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. 54 NR_181910041_BGM_Maple G5_Workbook Maths_Term2_text.pdf 56 2/17/2018 11:39:38 AM
Long Answer Questions 19) Ashi is supposed to paint 6 of her room and Bhavana is supposed to paint 7 of the 13 13 same room. At the end of the day, Bhavana was able to finish 4 of her work and Ashi 7 could finish 5 of her work. Who painted more and by how much? 6 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20) 4 of the students play an instrument, out of which 3 play a a) A t Franklin High School, 5 4 stringed instrument. What fraction of the students play a stringed instrument? b) S hubhro had some mangoes. He gave 1 of the mangoes to Vaishnavi. Vaishnavi 5 gave 2 of her share to Pooja. What is Pooja's share of mangoes? 3 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Fractions - II 55
. .H. i.g. .h.e. r. .O. .r.d.e. .r.T.h.i.n.k. .in. .g. .S.k.i.ll.s. .(.H...O. ..T...S...). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Question 21) Multiply: a) 4 , 8 , 9 b) 3 , 7 ,13 , 3 898 4 4 3 13 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. Long Answer Question 22) Multiply the following: a) 5 , 9 , 7 b) 6 , 4 , 6 , 7 c) 3 , 7 , 2 , 3 d) 4 , 3 , 5 4432 353 979 5576 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 56 2/17/2018 11:39:38 AM NR_181910041_BGM_Maple G5_Workbook Maths_Term2_text.pdf 58
................................................................................. ................................................................................. ................................................................................. ................................................................................. Concept 10.3: Reciprocals of Fractions Recall Multiple Choice Questions 1) If 9 × 4 = 36, then 36 ÷ 9 is __________________. [ ] ] (A) 1 (B) 36 (C) 9 (D) 4 ] 2) If 63 ÷ 9 = 7, then 9 × 7 is __________________. [ (A) 13 (B) 63 (C) 9 (D) 7 3) Multiplication and _____________________ are inverse operations. [ (A) division (B) addition (C) subtraction (D) both (A) and (B) & Remembering and Understanding Multiple Choice Questions 4) The only number that does not have a multiplicative inverse is __________________. [ ] ] (A) 0 (B) 1 (C) 3 (D) 2 ] 5) The reciprocal of 1 is __________________. [ (A) 2 (B) 0 (C) 3 (D) 1 6) The reciprocal of a mixed fraction is ______________ fraction. [ (A) an improper (B) a proper (C) a mixed (D) both (A) and (B) Fill in the Blanks 7) The reciprocal of a proper fraction is a(n) ______________________ fraction. 8) Fractions are reduced to their lowest terms before finding their ______________________. Fractions - II 57 NR_181910041_BGM_Maple G5_Workbook Maths_Term2_text.pdf 59 2/17/2018 11:39:38 AM
9) The reciprocal of 6 is __________. 7 Very Short Answer Questions 10) Find the reciprocal of the fraction 1 . 7 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11) Find the reciprocal of the fraction 5 . 14 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12) Find the multiplicative inverse of 3. Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Short Answer Questions 13) Find the reciprocals of: a) 3 b) 1 4 16 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 14) 2 b) 9 Find the reciprocals of: a) 2 78 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 58 NR_181910041_BGM_Maple G5_Workbook Maths_Term2_text.pdf 60 2/17/2018 11:39:38 AM
Long Answer Questions b) 3 2 c) 24 1 d) 6 4 15) Find the multiplicative inverses of: a) 4 1 7 3 5 9 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16) Write the multiplicative inverses of: a) 4 b) 2 c) 46 5 d) 0 26 36 8 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Fractions - II 59
................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Application Short Answer Questions 17) Solve: 1 ÷ 2 79 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 18) Solve: 5 ÷ 7 68 Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 60 2/17/2018 11:39:38 AM NR_181910041_BGM_Maple G5_Workbook Maths_Term2_text.pdf 62
Long Answer Questions 19) Shyam had 7 litres of water. He poured it equally into 3 glasses. How many litres of water 2 is there in each glass? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20) A book shelf is 42 inches long. Each book on the shelf is 7 inches wide. How many books 6 will fit on the shelf? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Higher Order Thinking Skills (H.O.T.S.) Short Answer Question 21) If 6 chocolates are broken into quarters, how many chocolate pieces do we get? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. Fractions - II 61
................................................................................. ................................................................................. ................................................................................. ................................................................................. Long Answer Question 22) a) Reena took 5 bread slices from a packet of 30 bread slices. She cut each of them into two equal pieces. What is the fraction of 4 such pieces of the whole packet? b) T here is 15 litres of milk in a can. Raj poured it equally into 5 glasses. What is the 25 quantity of milk in each glass? Solution: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 62 2/17/2018 11:39:38 AM NR_181910041_BGM_Maple G5_Workbook Maths_Term2_text.pdf 64
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