Math5

Look at the picture of this bus. The length of the bus in this picture is 6 cm. But the actual length would be 5 m. So, the scaleislcm=1m. 6cm Look at the picture of a train. The actual length of the train is 120 m. But in the picture, the length of the train is 10 cm. Thus, 10 cm represent 120 m. So, the scale is L cm = 12 m .10 cm Thus, maps help us to understand the location but scales help us to see how big or small places are in comparison to other places. Magnification .]l This is a stamp size picture of Ashika (on the left) for rhe identitv card in her scnoot. FYll€EV tle r]ght is th: bigger picture of Ashika which tmW 9isntwice the length and breadth ofthe stamp size picture. This is for placing on a photo frame on Ashika's bedside. Both the images are same but are enlarged according to some scaLe factor. Can you find the area of the smaller image and the bigger image? ] .r,Look at the following images that have been drawn on L cm and 2 cm square grid. \\. ) Look at the change in area when tnere tsa change in the dimensions.

,/( Draw these images in 1 cm and 2 cm square grid 'o o' c\\ and find their area. 4 Route Maps This is a route map of Stalon,Road Samar's house. You can see Market !4to! Ria the distance between his school, Milan Darba r, the Noo Ilcoot Residency oG = market and the library. This rvrilanoarbal map is drawn to a scale of 1cm=500m. He lives in Ria Residency. In the map, signal is 3 cm S P Road Q signal away from Sa mar's house and from the signal, his School school is 2 cm away. What is the actual distance of the Library school from his house? The total distance is 3 cm + 2 cm = 5 cm Therefore, the actual distance is 5 x 5OO (since 1cm represents 500 m) = 25OO m = 2.5 km Thus, his school is 2.5 km away from his house. Can you find the distance between the library and Ria Residency in metres, if their distance on the map is 6 cm? The market is 6.5 cm away from the signal in the map. What is the actual distance between the market and Samar's house? Keys Observe the map of lndia given on the next page. Some symbols have been used to indicate certain places and the key for the symbols is also given. .F*--...

Study the map carefully. T- 1. Which is the only place markeo in the map that is famous for painting, monastery and a rock-cut temple? Aja nta 2. Where can you find monasteries? Ajanta 3. Where do you find an iron pillar in lndia? Mehrauli (Delhi) 4. In how many places do you find stupas in India? I nree 5. Name the places that are famous for paintings. Bhimbetka and Ajanta 6. Name a place in India famous for sculpture. Mathura Here is a map of Shrestha's classroom. The desk where shrestha sits is circled. study the map carefully and answer the followins questions. 1. Mark the shortest route for Shrestha to reach the teacher's desk. 2. Shrestha wants to know the total number of benches in her class leaving the one she sits Flnd how many are there. 3. In which row Shreshtha sits, if we see from the teacher's table? Circle the dustbin, door and cupboard. How many cupboards are there in the classroom?

Direction Another important factor to be learnt in reading maps is direction. This is a layout ofa children,s park. W The parkt entrance gate is facing towards north. Swings and the sandpit area are located on the east side of the entrance gate, Soft drink stand is located to the west of the sandpit Here is the map of the g In which direction is the garbage collection bin with Central Hexagon near respect to the swings? India Gate at New Delhi. North 1. lf you are at India Gate and walking tn towards Tilak Marg, in which direction is ti l.G. Stadium to you? 2- In which direction is Raj Ghat from Medical College? J_& South

3. Name the roads which are paraljel to the following roads. A 'o a. Subhash Marg b. Janpath 4. Mark the shortest route to reach Rashtrapati Bhavan from lndia Gate. 5. Dandi March Memorial lies to the of Rashtrapati Bhava n. 6. Doll's Museum lies to the of Pragati Maidan. 1. This map is drawn to scale of 1cm = 2OO km . '' , i _ (approximately). Using this scale, find the approximate ]i , distance between panaji and Lonavala if the distance MAHARASHTRA between them on the map is 2.5 cm. Ir Lonavala .) \\\\,, \\.1 \\) ^ ,' 1, VE Answer the following questions using the map given below siatlon RD a. Raju lives in Ram's Manor. lf he wants to go to the temple, then what is the shortest route he should take? b. lf he is at Hotel Residency and wants to go to the Airport, then which are the roads that he will have to cross? Raju and his friends have decided to meet at Nehru Circle and then go to the park. lf one friend is coming from Vigyan Road and the other from south Ave-nue, tnen which road will they use to reach Nehru Circle? Which road will they use to reach the park? d. Give the direction in which these places lie from Nehru Circle: Airport, Hotel Residency, School, Hospital and park.

e. At Nehru Circle, a car hit an old man and ran. Raju saw the old man bleedins. immediately ran for his help. What is the shortest route that he can take hospital at the earliest? to real He the What value has Raju depicted here? 2. Given below is the map of Chennai. Study the map carefully and answer the questions that follow: a. lf you want to walk along the Marina Beach from 1t.. the Presidency ':rt College towards the University of Madras, which road will you take? b. Give the direction .ft, oo of Bay of Bengal as oq seen from Victoria Qcq Student's Hostel. .i,t5 G c. Whlch road is sL-- to the west of Kasturba Gandhi Hospital for Women and Children? d. Anna Memorial is to the of MGR Memorial. e. Which road(s) would you take frorrl University of Madras to Chepauk? My Proiect til Draw the route map from your house to school indicating the direction in which you move. Do not forget to include two or three important landmarks.

follow.Study the map of India carefully and answer the questions that i L. i lf you want to go from point A to B, then in which direction should you go? Which i line?states will you cross on your way if you go in a straight i 2. Which state lies to the north of Himachal pradesh? i 3. Which is the largest NT|rH|' | l\"r i Asstakatbeoaust iptsearcthtueaatrIela?lL.+lJ;€rluEnh1'lFLE. rll |I | Ii area from your Social fi tStudies teacher. (area , |i lof each small squa* i 4. whicharethestates i':rJEn|Il+W{44hcfi.-Llg---HlJlll | : aswhich have sea l side?boundary on one l ruDffilt l\".l f IIWF\"lf-ll l 5. Which state is the : ofsmallest in terms i drea r 1 l: l i . 6. In which direction il | | lYl liIM I | | | I I | | | ll! should you go if you want tovisit l r-#aiffi i thethe place where . re[fitTtl I : theArabian sea, ll | | | | | ll I l,rud'ol* lll.'{trflTot;rrd;TN-lT-|IT|rill;TJ,_-\"lI| i Indianoceanandthe i BayofBengal meetif : you are coming from Madhva Pradesh? i 7. km.Find the approximate area of Maharashtra if each small square is of side j.8O : i oo.: 8. Name the state that lies to the west of Tamil Nadu. i oo : i

Wonrsueer i t-] Complete the followine map using the given hints. ll Main Road 1 I I I Main Road 1. Draw the Canal Bank Road to the north of I Main Road and parallel to it. 2. Tagore Street is to the east ofthe school adjacent to it. 3. Nehru Street is perpendicular to I lvlain Road and is in between bank and school. 4. There is a Clock Tower at the place where Nehru Street and Canal Bank Road meet. 5. West Avenue is to the west ofthe bank and is parallel to Nehru Street. 5. There is a row of houses right opposite to the school and bank on either side of Nehru Street and adjacent to ll Main Road. 7. Mark the route from the school to the first house on the left. 8. Mark the route from the last house at the risht to the bank. IHEEEHggg gHTTITEEggg

Following is a bar graph showing favourite food of 240 children in a school. Favourite food of 240 children in a school . 100 190 oc80 :E= /l) = [ il lot an E 2\"\" 20 101 continental Thai chinese Indian Mughlai li ii Favourite food ----- i, 1. How many students like Indian food? ii 2. Which food is liked by the highest number of children? il 3. Which two types of foods are equally liked by the children? 4. How many more students like chinese food than Thaifood? ii 5. Find the total number of students who like Continental and Thaifoods. 6. How many students like Mughlai food? ii ,i :::::::::::::::::::| il 'ili i;

Moths Around Us pfiIsatomcipsaiutllylhleaedwtiopitthnrhiemothpfaerrtihymmedauutronytywicdnioapftaoaelr.vccTeOihrtyyirs,pcotdihtraiaeztteaidonehnaetoortphfrsetrhtaghaitseetteragernogdtvhioetenrhn.ebmTirbhethienrtthiontfofroaarfteimbnadatbhtyioeouronetr.ttahnneuyscdcueorarlletehncttiendthe Have you been aware of the last census which was carried out in your town or city? Check the population during the last census and current population. you can also check whether the death rate of your town/city is high oi ttte birth rate. Pie Chart Pie chart is a circular representation of data depicting relationship between a whole and rts parts. In a pie chart, a circle is divided into parts according to the number of data items. Example 1: 2OO students of class V were asked to join any one of the following clubs_the euiz club, the Maths club, the Eco club and the Fine arts club. 100 students joined euiz club, 5O joined Maths club and the remaining students were equally divided into Eco club and Fine Arts club. Draw a pie chart to represent the above data. Out of 200, 100 joined euiz club 100= ZOd = 7 of the students 1 Out of 200, 50 joined Maths club =25O0O=41o-tth-.estudents Remaining students = 2OO _ (1OO + 50) = 200 _ 150 = 50 The remaining students are equally divided into two clubs. qn fTherefore, = 25 students in each club. Thus, out of 2OO, 25 joined Eco club, that is, z)t, 2OO = 8 or the students Similarly, out of 2OO, 25 joined Fine Arts club, that is, z> = -L ot the students 7OO 8

Thus, the pie chart of the given data will be represented as Fine Arts club Eco club Quiz club Maths club Example 2: Priya collected data about the food liked by most of the children. She constructed the pie chart for the collected data. Observe the pie chart and answer the following questions, if the data was collected from 240 students. zUFru it salad Upma a. Which food item is liked by Sandwich most of the students? Sandwich D. Which two food items are \\ equally liked by the students? Upma and Boiled eggs Which food item is least liked Boiled eggs by the students? Fruit salad l Given below is the data collected for the favourite ice cream flavours of 36 students in a class. Draw a pie chart to represent the data. Favourite Va nilla Pista Butterscotch Strawberry Mango Chocolate flavour Number of qqa o53 students

2. The given pie chart shows different seasons of India, divided into 12 equal parts. Each part shows 1 month. Fill in the following table Monsoon ring with the help of the pie chart. Autumn Season lNumberofmonths Winter Monsoon Winter; Spring Autumn (Note: This is hypotherical data.) Summer 3. The given pie chart shows the number oftourists from various countries who have visited India in the year 2015. Answer the follolving questions by looking at the pie chart. a. From which country did the highest number of tourists come? b. From which two countries did the same number of tourists come? c. Tourists from which country are more-the UK or Japan? d. From which country did the least number of tourists come? Tally Marks Tally marks are an easy way of counting objects in groups of five. The first four tally marks are represented as vertical iines and the 5th line is a diagonal line across the four tally marks. Each tally mark stands for 1.. The table shows the representation of taily marks. Number of Obiects Tally Marks L I 2 3 ltl A ilil

5 il.I.| 6 fN.l I 7 fil.t |I Example 1: Rahul's mother made a list of items to be bought for Rahul,s birthday party. Represent the following data using tally marks. Items Birthday cap Pastry Samosa Chocolate Candy 20 30 25 Number of ltems L2 15 Items Tally Marks Birthday cap fi.{ fN.tI| Pastry $| fN fl.l.l Samosa fl.u ffl.J ft'll hu Chocolate fN.l ft'l.J rl.fl ftu ffi.t fil.t Candy fH.t Nu n'l.J ft'll fN.t Example 2: In a class, John collected information IFavourite Place Tally Marks from all the students about their Beach ffu fl.l.lII favourite place for an outing. He Theme park recorded them as tally marks. fl.l.l H.| fNt Answer the following questions Ma ll fl.ll | | based on the given data. Amusement park fl.l.l H.l.l fl.l.l I I a. Which is the most favourite place for an outing among the students? Amusement park b. How many students like to go to an amusement park? 19 students c. How many students prefer to go to the beach? L2 students d. Find the total number of students in the class. 53 students

1. Fill in the table below. Tally marks Balls Bats fl.il hlJ I Buckets L7 Spatula fil.l f$l fi.lJ hl.J f.Kl ft! tl f$i fi.l.t ftil il.|l |il 2. A shopkeeper bought 25 flower pots, 1g flower vases, 23 lampshades and 16 sculptures. Help him to represent the data using tally marks. 3. The given tally chart shows the number of children who attend activitv classes in the evening after school. Answer the following IActivity Classes Tally Marks J Number of Students questions based on the classical music fl.l.l lii.l fl.l.l fll.l given data. Dance HHH,H a. Complete the last Piano *|.ffnil,,* column of the table. b. Find the total number of children who Guitar fill fNt H.l.t ||| attend classes after Light music hu fflJ tfti [.u school. Iil.t nil II c. Find the total number of students who attend dance class and light music class. o. Which two classes are equally attended by the children? e. How many more children attend classical music than the guitar? @ Tally chart given alongside gives the Marks I Tally Marks marks of 100 students in a speed maths test, where the maximum marks is 5. 2 fN.t fN.J Note that only those students who scored 2 or more than 2 are recorded here. 3 N| l|t,t ffil fN.J il.u 4 u.| lt'tJ fl{ f$t f|! ffl.l 5 fl.l.t fil.t fil.t ntl

NoW answer the following questions. 1. How many students scored less than 3 marks? 2. How many students scored more than 3 marks? 3. How many students scored less than 5 marks? 4. How many students scored less than 2 marks? Line Graph Rishi, a student of Class Vlll, while going through his old school Class I Height (cm) records, found that his height was different in different classes. I 60 He recorded the data as given in the table. He then plotted the tl 70 data on a graph paper. ltl 80 The horizontal axis represents the class and the vertical axis 100 represents the height in cm. 110 130 Draw a dotted line vertically upward from Class I and another dotted line horizontally from 60 cm. Mark a dot where the two vll 140 lines meet. This gives his height in class l. Similarly, mark a dot v l L60 at the point where the vertical line from Class ll and a horizontal Class ---> line from 70 cm meets. This gives his 180 height in Class ll. Repeat the above process for all the classes. Join the dots '; r4o with straight lines. zr2o From the graph, you can easily find his ;100 height in different classes. you can easily 'd measure the increase in his height. -60 40 Can you find the increase in his height 20 from Class lV to V? 1. The temperature of a place for a week is given in the table below. Draw a line graph to represent the data. DaY I Temperature in 'C Monday 23 Tuesday

Wednesday Th ursday 25 Friday 27 Saturday 24 5unday zo 2. Given below is the price per kg of onions from January to J une off a particular year. Jan Feb Mar April May June {48Draw a line graph ?52 above {70 the 60 find 62 {s8 i. Mid May for the graph, price data. From onions the of the in ii. Mid March LS ,;:Shahin is overweight as compared to other children of her aee. The graph oetow shows her weight from the orese-nt age (10 years). \"\"#;.-\",.study the sraph s vearsoto the ;r\"T.of 70 6 50 .5 40 30 = 20 70 a. what was her weisht when;:\"J:rt;T\";\",., c| . r*n.W1h:rat is weight has she gained from 5 years to 8 years? from 8 years to g years? the increase in her wr g t State the i|| effects of b\"ing ouu*eight. Suggest ways for Shahin to reduce her weight.

{shti' D4gtUg Las' A-@4n7 Objective: To learn and plot a line graph Materials required: Noteboolg ruler, pencil and eraser Method: Students form groups of 5 and the teacher Name I Height (cm) helps them to record their height using centimetre 155 ruler. Draw a table with the corresponding data of Raunak 145 your group. Stalin Now, draw a line graph with the help of the collected data and compare your result with other groups. My Proiect \\ Collect data from your classmates about how many of them have studying in the same school' tt'\"ii brott'\"rr, sisters and cousins Use tally marks to record the data Only brother Only sister Brother and sister Only cousins No one F _____##

The given pie chart shows the favourite dress of all ladies in a colony. Answer the following questions based on the pie chart. a. Which is the most popular dress? b. one-fourth ofthe ladies like sari. True/False c. Which two dresses are equally popular? d. More ladies like sari than skirt and top. True/False Draw a pie chart for the following data giving the details about the early morning drink of 100 oeoole. Coffee Tea Hot chocolate Milk 50255L0 The given table shows the evening snacks popular among a group of people. Study the given table and answer the following questions. IEvening Snack Tally Mark a. How many people like pizza in the Pizza |fl.l.l fl'll f]'ll | evening? U. Wtrictr is the teast tiked snack for the samosa |fl.u fl.l.l ll | evening? Burger fl'll ll c. Which two snacks are equally liked? Biscuits fl.l.l ll d. How many more peopre prefer pizza Dosa fl.lJ than dosa? e. What is the total number of people on whom the survey is done? Monisha's mother recorded her weight as she grew from l- month to 6 months. Draw a line graph for the given data. lst Month 2nd Month 3rd Month 4th Month 5th Month 6th Month ookg ske skC 6kg oo8kg 9kg

Dinesh went to Ooty for the flower show. The train journey from chennai to Mettupalayam took 12 hours. From Mettupalavam, Dinesh went to Ooty by the toy train which took 4 hours. During the 16 hours of journey, Dinesh spent 8 hours in sleeping,2 hours in reading a book, 1. hour in playing with his sister, t hour in talking to his co-passengers and 4 hours in the toy train gazing at the breathtaking scenery, a. Draw a pie chart to represent the above data' (Hint: Divide the circle into 1.6 parts so that each part represents t hour.) b. Dinesh went to the flower show. He was fascinated to see different varieties of roses. He counted 28 pots of pink roses, 32 pots of red roses, 35 pots of yellow roses and 22 pots of other colours. Prepare a tally chart for the above data. c. After sometime Dinesh got tired of walking. He decided to sit on a bench near the parking lot and count the number of cars that come in. When he started counting at L1:00 a.m., there were 30 cars in the parking lot. After half an hour, he counted 45 cars. At the end bf one hou0 there were 65 cars. At the end of two hours, there were Loo cars and dt the end of three hours, there were 120 cars. Draw a line graph to represent the data. tttt r ! F rl F ! F F i. F E tr - F F. ll aElfE|EEE!fEEErE EEgEIg

In class lV you have learnt about some problem solving strategies. Let us look at some more strategies. Step 1: Understand the problem. . Read the problem slowly. . Rewrite in your own words. . Find out what is given and what is being asked. . ldentify the relevant information. Step 2: Devise a strategy. . Work backwards. . Look for a pattern. Step 3: Carry out your plan. Perform all calculations carefully. Step 4: Check your answer. lf you think your answer is not correct, change your view point and try a different strategy. We will now discuss a problem usinB the strategy ,Look for a pattern,. This is one of the most frequently used problem solving strategy.

Look for a Pattern Problem 1 Suppose there is a mathematical operation * such that, 2*4=8 3*5=11 7*9=23 9*7=25 Whatis5*4? A simple way to approach the problem is to look for a pattern. Tf ? * F - IQ 2 * 4 = 8, may lead us to think it is multiplication. 5* 7 = 26 andT * But 3 * 5 = 11, so we are wrong. ZZ,lhen whal 5 = 7*9+9*7 is5*3? so, the order of numbers is important. Since 6 +5 = 11, so can it be 3 * 5 = 3 x 2 + 5 = 11. Does this hold good for other results? Let us check 7*9=7x2+9=23 9*7=9x2+7=25 Therefore, 5 * 4 = 5 x 2 + 4 = 74 Problem 2 9xL2+3=71L 9x123+4=1111 9xt+2=lL What is 9 x 1234567a + 9? We can observe that 9xL+2= L1 (two 1s) 9x L2+3= 111 (three Ls) 9xL23+ 4= 1111 {four ls) Therefore,9 x 12345678 + 9 = 111111111 (nine Ls) Problem 3 Let us look for a pattern in the first and second pictures. (/-9-\\(-)1-6l{-)\\7 ){,1/-5-t\\2)-7/{'1\\l 2 9+7=I6t 15+72=27. \\_/-(-\\1--l8) \\_-/(-3\\-,0/ ) 1 So, the top circle has the sum of the two bottom numbers. But how do you get L8 in the bottom most circle in the first flSure? \\_-/ \\_-/

)4\" (9+1)+(9-7)=1-6+2=18 Does this work for the second figure? (75 + 12l + 0S - 1,2) = 2j + 3 = 30 Yes, it works for the second figure. 1. 3 x 37037 = U1111 6 x 97037 = 222222 9x37037=333333 A x 37037 = 999999, find the value of A. 2. You tell your friend the solution to a tricky problem on Sunday. On Monday, this friend who knows the solution, tells it to two of his friends. On Tuesday, each of the three llq people who know the solution, tell it to two of their friends. lf this process contjnues, how many people will know the solution by the end of the next Sunday? (Hlnt: Make a table and look for a pattern.) Work Backwards when the final result of a problem is known and you are asked to find the initial condition, then a very effective way to solve this type of problem is to work backwards. Problem I had some flowers in my hand. I took a dip in the first tank and the number of flowers in my ha nd doubled. I gave 8 flowers out of what I had to the little girl standing on the bank and took a dip in the second tank. Again the number of flowers in my hand doubled and I gave 8 flowers out of it to another little girl standing there. I took a dip in the third tank and again the number of flowers that had doubled. But when I came out of the third tank, i found that I had only 8 flowers, I gave them all to the third girl. How many flowers did I have in the beginning?

Here, we know the answer and we have to find the initial condition. So, let us work backwards. Start calculatins from the third tank. 1i:',i i/t,i:!I When I came out of the third tank, I had 8 flowers. So, I must had 4 flowers beforr Itook a dip. After the dip in the second tank, I must had 12 flowers so that I was able to give that llttb girl 8 flowers and still had 4 flowers in my hand. Therefore, before the dip in second tank, I must had 6 flowers (so that it doubles to 12) proceeding like this I must had 7 flowers in the beginning. 1. What number belongs to the Start box? Multiply by 2 Divide by LL 2. At the end of a school day, a teacher has 17 crayons left with her. She remembers giving out 16 crayons in the morning, getting 11 back during the lunch break and giving out 12 crayons after the lunch break. How many crayons did she have in the morning? 3. I have a magic box which doubles the monev inside it and also adds t 5. I put a certain amount of money into it and open it after two days to find < 87 in the box. How much money did I put in the box in the first Dlace? Change Your Point of View At times, all attempts to solve a problem do not lead you to an answer. This may be because you have decided.that there is only one way to approach a problem. lts recommended at this point, read the problem once again and change your point of view

Problem 1 Place 26 sheep in four pens, so that there is an odd number of sheep in each pen. What we assume as soon as we read the question? 26 sheep are being put equally in four different pens. This way we will never be able to split and make groups of four with odd n u m Ders. Change your view point and imagine the pens with different numbers of sheep. There are a number of ways in which 26 can be split into four odd numbers. Some are shown below. Problem 2 Draw four line segments through the nine dots without lifting your pen from the paper. Each line starts where the last line finishes. While attempting this problem if you assume that the four line segments have to lie within the nine dots, then you are wrong because it has not been stated anywhere in the problem. Change your view. NoW you can draw the lines like this.

,!D' 1) 1. Show how to plant 10 mango trees in 5 lines with gn@gn 4 trees in each line. OU(3aD 2. Reema wants to join these chains and make a circular bracelet. The jeweller will charge { 20 for undoing a chain and < 30 for restringing. But Reema wants to spend onlv t 150. ls it possible for Reema to make the bracelet? 3. There are 5 rooms. Each room has 50 bags of rice. All bags weigh 100 kg, except in one room where the bags weigh only 99 kg. You are allowed to weigh any number of bags from any room, but only once. How will you find out which room has the bags weighing 99 kg? 4. A clock chimes every hour as many times as the hour, and once every 15 minutes in between. lf you hear it chime once, what is the maximum time vou have to wait to be sure of the time? 5. Find the value of a in the third figure, by studying the patterns in the first two figures.

r*/ft-I q wonrsn I ln each of the following questions, either extra information is given or some information is missing. Find oLit the missing information or the extra information. 1. Find the area of the base of a cuboid of length 5 cm, breadth 8 cm and height 3 cm. 2. Ram Lal bought some mangoes at the rate of T 280 per dozen and sold all of them in the market the next day at { 25 per mango. What is his total profit? 5. Sanjay made a box which is 15 cm long and j.2 cm high. What is the votume of the box? 4. Mr Kapoor goes 20 km by his car, parks his car at the station parking area and travels the rest of the distance to his office by train. What is total distance travelled by Mr Kapoor to his office? 5. ]A man gives of his property to his son and the remaining half is shared equally between his two daughters. What is the share of each daughter? rHrtrtrartrH t,--: n_L_n r_,.Lrii_ n _r

1. Fill in the blanks. a. The multiplicative inverse of 5! rs 3 b. All even numbers are divisible iy 41 fraction. c. -isan - d. Factors of 3L are and e. 35'is an enota f. This leaf has line of symmetry. :::::.yjll\"\":i: name of 2,27,13,428 in the Internationat system of numerarion. 3. Add: XLVI + XXIX 4. Multiply: 831 x 102 5. What number should be subtracted from the sum of get 25,42,797? 11 ,20,4g7 and 29,1.2,745 to o. Draw the factor tree of 242. 7. Arrange 0.18,0.L4 and O.04 in ascending order. ilTi: cloth?yj:8. \\ +u.5u per im\"^e1trielt. ,tf] r<,e of sus_al cgstins { 24.7s per ks and s metres of ctoth costins rno\"\"Vl f be left with her after paying for she has { soO.with her, then hori muct *if the sugar and the 9. Divide 71650 + 25 and check your answer. 10. Find the HCF and the LCM of 125, 350 and 475. \" *,*, il:* ;:*::;iiJrili; [:il*boys and girls have failed altogether? fi,; :'J:: il\":i :,,1T 12. Solve: a. 42.183 + 0.3 b. 3.78 + O.OO3 L3' A toy store has r'2 boxes of dors and 18 boxes of soft toys. rf one box of dors can hord 24 dots and one box of soft toys can hord so soft dolls and soft toys in the toy store. toys, iien t\"na tn\" tot\"t number of 14. Evatuate: f'231- z14)t.lrr-le* 3) 15. Multiple Choice,euestions rol a. lf a number is divisible by 6, then it is divisible by both i. land5 ii.4and2. iii.3and2 iv. 5 and 3

b. The Drime factors of L25 are i. 1 and 5 ii. 1 and 25 iii. 5 and 25 iv. only 5 c. The place va lu e of 7 in 2,O7 ,49,L2L is i. 70,00,000 ii.7,00,000 d. The product of a fraction and its multiplicative inverse is i. the number itself ii. 1 iii.the multiplicative inverse iv. can be any number e. The largest 7-digit number that can be formed using the digits 9,6,O, L,2,5,7,8 is i. 97,86,52r ii.9a,76,5L2 iii.98,76,521 iv. 96,87,520 7,53,215 is divisible by iii.5 iv. 15 i.6 ii.3 e. 1 .ll.l..5-1- .55 The imorop'5er fraction of L0* is qo 5 Itt .10 .. 30 1l iii.0.0031 50 5 iv.3.100 n. -.1\"L2Z31+40L-L63.lS €ou?l ro ..24 18 ._IUUU In oecrmat Torm ts i.0.31 ii.0.031 29.83 x 1000 is eoual to i.2983 ii.298.30 iii.29830 iv 298.03 k. 0.04 x 0.4 is equalto i.0.16 ii.0.016 iii. 1.016 iv.0.160 t. Two rays starting from the same point and going in opposite directions form a i. right angle ii. straight angle iii. acute angle iv. obtuse angle i.o ft A E COm. The next design in the pattern .f7 I...L,j n. The angle between two perpendicular lines is i. 0' ii. 90\" iii. 180\" iv. 60\" o. Which of the following is an obtuse angle?

1. Multiple Choice euestions a. 5025 g = i.6kg25g ii. 60 dg 25 g iii. 50.25 mg iv 6kg b. lf the CP of an article is t 58 and the loss is { 13, then the Sp is iv. { 81 i. t4s ii. ? 5s iii. { s0 c. The edge of a cube is 2.5 cm. lts votume is i. 16.25 cm3 ' ii. 15.625 cm3 iii. 156.25 cm3 iv. L50.25 cm3 d. The perimeter of rectangle of length 2.g2 cm and breadth L.27 cm|\" i. 4.09 cm ii. 8.818 cm iii.8.18cm iv. 8.018 cm 8 litres = i. 0.8 kL ii. 0.08 kL iii. 0.008 kL iv. 0.0008 kL f. i. 1,32'F ii.2I2'F iii.32\"F iv 0'F g. lf data is represented in a circle, then it is called a iv. line graph i. pictograph ii. pie chart iii. bar graph i.h. lf the selling price is the same as the cost price, then there is loss ii. gain iii. no loss no gain iv. none of these t. lf a long ribbon of length 5.2S metres is cut into 5 equal pieces, then the length of each piece is i. L.5 m ii. 1.05 m iii. 1.25 m iv 1.005 m 2. Convert into minutes. a. 3120 seconds b. 5460 seconds 3. on a hot summer day, the temperature in Mumbaiwas 4o.c and the temperature Trivandrum was 35.C. Find the difference in temperatures in Fahrenheit. in 4. lf the area of a square is 49 sq.m, what is the length of its side? 5. lf the volume of cuboid of length g m and breadth 6 m is 144 m3, what is its height? 6. How many cans of capacity 1.2 L are needed to fill L2 dal of oil?

7. Deepak bought a scooter for { 8490 and wants to make a profit of { 1190 by selling it. What should be the selling price of the scooter? 8. In the given map, Play Area is in the direction to the KG Block and Admin Block is to the of the Sec. Block. 9. Draw the net of a cylinder. 10. Find the area of the base and the volume of a cuboid of length 18 m, breadth 1.2 m and height 6 cm. LI. Pratyush goes for yoga class every day in the evening from 5:10 p.m. to 6:30 p.m. What is the duration of the class? lf the course started on 18th November and it is a 15 days programme, then on which day will it get over? 12. Ritu bought 3 apples for { 20. She sold each apple for ( 10. What is her total loss or profit? 13. Convert into Celsius. a. 86'F b. 50'F c. 104 \"F 14. Reema goes for jogging 5 km every day in the morning from 6:20 a.m to 7:L0 a.m. For how many minutes does she jog every day? How many kilometres and hours of jogging would she have done in a week? 15. Rohan bought a rose sapling and planted it in his garden. The day he planted it, it was 10 cm long, on the 3rd day it was 1.2 cm long, on the 5th day it was 15 cm long, on the 7th day it was 20 cm long and on the 1fth day it was 25 cm long. Draw a line graph to represent the data. 16. A rectangular bed of grass is 25 m long and 32 m broad. Find the area of the region covered by grass in the given bed. Also, find the length of barbed wire needed to fence the rectangular bed.

Glossary Acute Antle An angle less than a right angle Angle An angle is formed when two rays meet at a point Complete Angle An angle measuring 3G0. Composite Numbers Numbers that have more than two factors coprime Numbers Two numbers which have no other common factor except 1 Cost Price The cost incurred by the shopkeeper Decimal A fraction whose denominator is 10, 1OO or 1000 Highest Common Factor (HCF) The largest number which divides two or more numbers without leaving a remainder Least common Multiple (tcM) The smallest multiple common to rwo or more numbers Like Decimals Decimals with equal number of digits after the decimal point Line A collection of points extending endlessly in both Line Segment directions along a straight path A part of a line which has a starting point and an end point Loss The difference between the cost price and the selling price when the selling price is less than the cost price Multiplicative Inverse Two numbers are said to be multiplicative inverses of each other if their product is 1 Obtuse Angle An angle more than a right angle but less than a straight One-hundredths a ngre One-tenths One-thousandths One-tenth divided into LO equal parts One divided into 10 equal parts One-hundredth divided into LO equat parts

parallel t ines Two lines which do not meet at a and the distance between them is same all along Perpendicular Lines the length Pie Chart prime Factorisation Lines meeting at an angle of 90. Prime Numbers _ Profit betwe;;;;H:ffi:T:'\"tA circular representation of d Ray rerationsh ip Right Antle pLrTodru.cTt 1of:ilt*stp.srimseinfasctoarscomposrte number as the Selling price ;:il:r\"\" havins 1 and the number itsetf as the onty Straight Angle Temperature ]Tj:I:\":\"pnce between the seilins price and the cost when the selling price is more than the cost price Unitary Method directionA part of line Unlike Decimals the other Vertex which starts at a t.loint but goes endlessly Volume in An angle measuring 90. The price at which the shopkeeper sells goods An angle measuring 1gO\" The m^easure. of the degree of hotness or coldness of ptace or an object a Themethod of finding the value ot a certain number of unrts by finding the value of one unit D€cimals with unequal number of digits after the decimal The point where the arms of an angre meet The space occupied by an object 3. 5. lrr t

Answers to Selected Questions Chapter 1 3. a. 88,84,630; 88,84,600; 88,85,000 b. 6'1,12,644t 67,12,600i 67,13,N0 Etercire 1.1 c. 23,65,7 6Ot 23,65,800: 23,66,000 d. 9,9,99,750; 9,99,99,700i 10,00,00,000 2. a. 5,57,21,4'7 \\: Biye $ote fifty-s€ven lakh twenry-one thousmd e. 5,33,00,670; 5,33,00,700i 5,33,01,000 fou hundrcd sevedy-on€. [g] : r.ee,ooo b. 79,28,341; Sev€nty-nim lakh twedy-eight thousdd three hundr€d forry-one Exercbe 1.5 c. 7,82,42,141; S€vo croie eighty-two lakh forty-two lhousaod l. 3,54'7,192; 4,115,3U: 25,730,002; 8,200,091; 10,004,731 orc hund.re-d fony,one 2. 2,244,020 b. 302,334 c. \\,\\24,325 d. 2,52,51,251; Two crore firy-two lakl fifty{D€ thousnd two ^. e. 3,300,554 hudrcd fifry-one d.351,003 e. 4,20,00,420; Fou crore twenty lakh four hundred twedy 3. z. < 3,341,121 b.27A83,420 c. < r,748,345 f. 1,75,42,807t One crcr€ sev€nry-five laklh forry-rwo thousdd Exercire 1.6 eight hudred seven l. a. )Oq\\4I b. XCm c. L\\aI d. XLIX g. 1,00,25,420; One crore tweDty-five thousand fou hundrcd e. LXVIII f. CCL)O(I'I 8. MXXXV h. Mit4XII 2. z.47 b. 146 c.lM4 d. 1098 h. 62,38,421| Sixty-two lakh thiny-eight thousand fow hundred e.455 t 305 s.226 h. 643 3. a. XVIII b. XLrx c. XIV d. C)(LVII 3- a.80,40,020 b. 2,42,75,202 c. 2,51,351 e. MDOffIU t CCLXXX d. 2,30,12,325 53,47413 r 8,82,05,308 4. a. XL\\aU b. CCX c. LVIII d. MLI e. M 4. a. 3,00,000 b. 8,00,00,000 c. ,10,00,000 f. MCCCX)(V d. 40,000 30,00,000 i 7000 l. a. Smallesr 53,21,789 b. Smallestr 34,25,789 h. 7,00,000 i. 90,000 1,987Largest: 55,3 L^rgest: 3 t ,2t,OB9 s. 70,000 f,!€rcire 1,2 2. Snallesr 2035679 L a. 90,00,000 + 7,00,000 + 20,000 + 8000 + 300 + 20 + I Ldgestr 9765320 b. 3,00,00,000 + 50,00,000 + 2,00,000 + 60,000 + 700 + 10+3 3. z. t2,20,200 b. 3;72,870 c. 460 c. 10,00,000 + 2,00,000 + 50,000 + 9000 4. a. CDC<Xry b. X\\aII d. 2,00,00,000+ 50,00,000+ 1,00,000+ 70,000 + 9000 + 200 + 50+6 5. a. Delhi - Fou cr@ sixty-eight lalh rwenry-tr€e thourand. 2. a.5.01.708 b. l0.ll.00l c.2?.58.151 d.87,21,317 Ko&ara - Eighty,five lakh scveDry-two thoudd. Ennise 1.3 d.= f.> Mumbai - Two c{ore ninery-on€ lakh. CheMi Eighty-severlakl. l a.> b.> b. Kolkara < Chemai < Mumbdi < Delhi 2. a. 24,11,7 12<54,72,341< 56,34,7 54<72,6t,561 c. Kolkala and Chennai b. 57,32,3',7 3 <1 3,13,537 <94,24,272<3,46,25.722 d. Hyderalad < Kolkat! < Chennai < Mubai < Delhi. 3. a. 436,58,277 > 1,55,38,244> 54,27,425>12,73,253 b. 2,7 2,3 1 445>7 s,62,43 6> 46,s 6,53 \\>36,3 1 A 68 4. a. 97,53,210 b. 4,75,43,2tO c. 98,54,210 t. a. 2,s7,500, 37,42,100, 71,28p2r 5. a. 10,23,458 b. 12,35,679 c. 12,36,789 7000, 7,00,000 70,00,000 b. 3,450,000 Elerclse 1-4 c. 12,58,000 c. Two hudred sevenry-thFe miuion rwo hudred fifty-one L t78J5,300 d. 71,23,000kn 2. L. 12,51,820 b. 12,57,800

4 Chapter 2 Xxerci,€ 2.1 3. 7 15,22,000,I 4,?8,OOO l a. 8,87,t t8 b. 40,54,863 c.30,89,814 5. < j,94,200 6. 243t peopte 4. t6.99,000 e. 8,38.52,869 d. 1 ,21,03.900 b.65,13,005 .f. 79,52.419 7. < 5.0a,?20 2. a. 54,36.163 e. 4,\\15,98,872 b.43,?1,629 c.2?,0A,583 9. a. 469a24 b. 960017 d. 16,a2,594 f. 28.94,263 +ii#+ - 1*:_l_10 5 3. a. 3,45,20,772 5. < 2,14,075 \"r6At2 4 < 6,72,050 6.5,12,06,4€,6 c. 9,98,99,999 I b. Subnacr _ro_r, .^. u^,.vl.d_eby t0 6. a. 3,51,13,762 7.23,56,7?4 .ii#;+8. a. 824425 d. Mutrjpty by 5 .#+#+c. 792288 b. ?86572 Chapter 3 -4J r',. -]=--, ) r 49 Exe.ctse 3.1 d- 927282 Exercr.se 2.2 \". JO47 5291 23 5 6 e / to 7380 No No No 321s NoIwo 5332 No i_ a. 3,29,988 b.24,59,641 c. 593iA 6534 d. 4,42,800 76)5 No 8. 60,56,050 e.4.98,211 f 4,10.520 No No No No i. 5,69,70,620 No 2. <3,25,352 h. ),00,70,095 No No 5. 4,60,284 No Exercise2.3 3. I i.90,000 4. 9,99,000 l.a Q=:U:; X = 1, No c. Q=38r;R=6 b. Q=zozo;n=5 5.2 6-5 d. Q= ll53; R=8 8_ i. 4 d,l}l, i e. Q = 2240; R= t5 n. b,4 e I Q =553t R= 0 2. t8300 ii. b,c,d,e,8,i ; ;'' 3. 32 days L.s 609 days kgl 6s58e0 tabrers; 4ee morc peopte (app.ox) nie.cise 2.4 Ere.cise 3.2 I a.2r2 x2x2xr r. 11 c.2{2t2x,, ,.r\"2\"2,),,., dl25'2xx52\\x52x2x2 3. Maths rq6gq = 35n1rks , ;T:\"J\"\"'\".=\"--, J. a. No o \" t 2!5^lt b. WedDesday aDd Sundav 4 t\\t t-<\"-to,-t^'t61 l^?J. r70. c No c. Tuesday ard F.idav l8r. r9l. rsJ. .--. ra/and r99 '.d naondar, Tnursaay a16 5u,,r.auu La.jq c. 24 Er o. jean B u, r mahhes l. I 16 h.8 :' a u. o t.7 I t. 2. 2. 16 .r. ,. i( b.74,32,450 c.31,13,709 \",,*., ,l u. r.r(r,78.48j e SO,1S,3!9 f. ),25,020 1. a.288 b. U7 E e l5o |',:::::: b e=oz;q=ee c Q=7913;R=5 I ro, c 52s d. 412 f Q=:+; p=69 ,. Io8o h.2oo e.4.05,810 ; :;: s ts2o t '2oro r. r8r5 2 75.150.225 ; ^;\" 4 218 sweek

Revision Strtion - l1 3 3 I 7531 10455 8r0816 't. tt.13, t'7, t9,23,29,31,37 2. a..,d,e 473\\ 3. 16= t3+3;36= 17+ 19i42=37 + 5;2A= n + tl 510515 7251 351I 8392 4. 45 =3 x 3 x 5t121 = 11 x 11i72=2 x 2 x 2 x 3 x 3 4423 3',7 5 | 5. y€s 4 t2 1,2 12 6. a. 14 b. 35 c. 10. d.l3 10. a.1485 9. No c.2352 d. 27300 E!€rcire 4.3 b. 462 11. 12 litres botrle 12.8100 13. 2 3 5 9 l0 .l 37 109 23 2342 No No No No No No 245 664 4020 l8 . 263 83250 No 33 -- t21 9912 No t2 15 No No No No No l0 tz. sf,:|.'.1,:{,0} o\"n.noo 1 a. 75 llants b. 369 pldts c. 4l bundles d. ii . z2l-8s.2l.4rl8.-ql.:l rt.n ro aeho Chapter 4 \"5 6 r< iL . ^12 b.2 33 l5 2l 2l 57 54 1?1 -26l6 ,9 lt .2 45 .9 88 l5 15 d. iii I 8 56 l9 3 2. il r2 ^t 30 \"13 8 s. I m k. -: ^. 3 l3 .8 3. l6t 15; 35;40 ]E 5 4.a.! 5 -ll e. 1 \"5 uEt* _l 3 r. st16.4:l Etercise4.5 3 u l3 l. 41t\", 1.a.0 .l I It E8 l6 d.?l Xxercise 4.2 6. I 2 g.< l. :: ._ I I 5 7 7777 2 5 1l 11 11 r1 l8 13 1l 9 39 l4 l0 41688 3 315 | 53',] 16828 3 3 8 ll 5 u | 324 4 10535 i.8 7',1

6. 1 2 a.40,36,t2 55 52 t. -! , ro wnonr*s 115 4.22OA 5. 16 kg flou md 32 kg sugar c. l50whiplashes, 54 wiiplahes 3.4km 7. 260 pages 8. 280 km d. 200 whiplasbes, 48 whipldhes 6. 255 m 10. < 775 9. 1333 Chapter 5 2 l4 c.9 Erercise 5.1 3 3 u 1 a. Twenty liv€ poiot one rwo. 6 2 f. 2l b. One hudred thirry-eieht point one two three j.3 ,t i. 49 c. SeveD hudred eidry,oie point ze.o zero one d. Two hudred twelve poinl five one l0 49 2 e. Three hudred forty-five poinr one zero five 26 t'7 k: 9 t Two hundred ninery-two point two nire two -16 2 5 8. Sev€nry-eight point zero seven eight. ll 3 3 h. Two hudred eighty-seven point two rwo two. 5 l -5 9 2. a. zo+z+1 7 t. ll 98 l0 27 ' 259 7 b 5oo+ 20+8l+0l+1100 3r8 8 7. t8windows \" 400+20*8t+0!+1-0L0 2.<40 3. t60 5. l8 packets d.500+9+1 100 \" +oonzo*1 100 r atoo+ S+la0+ 100 -s. 300+20+s+1a0+-1L00 ,' I 2 ll eo.9- -9 12 21 b 100+50+l+ lL0+1a000 ;, 16 28 iit 3. a. 340.134 b. 82.04 c. 1008.304 ..2 5 17 d.256.003 e. 981.004 . I ,l 9 22 3 tl f. 135.233 56 ..79 4. b. 1050.021, One lhousand fifty point zqo rwo one c. 2301.33, Twothousandthreetundredonepointlbreethree 35'i'i'n'7 '72 d. 2150.13, Two lhousand onehund.ed fiflypointonerhree ...34 361 .. 1l I Exercise5.2 b- 7.1 c. 10.03 30 ,7 .. I I t. a. 2.3 .. 17.16 I 8.05 16 ... ll 778 . 675 760 d.25.04 h.35.07 1. 22.013 d.t.u 8 7. 24doBs E. 62.1 k.25.001 l. 42.02 9 j. 18.05 5. ? 250 O tr! c. 100* 100 3 10. =kE ls1 . ,-13 \".100 1000 20 r*.....

'_ ^. ll n. 8l :- r.59: Ererclse 5.6 b.4.OA c. 12.31 d.25.05 5 f. 24.63 e. 153.225 looo 25 r. a.78.2 j. 26.725 k.2162 h. 3257.083 25 e. t.2l n. \\.217 o. 3.28'71 'i. 93-:- b. 2.300, 2.030, 2.003 i.0.12506 t. 16.736 100 3. 32 bonles 4. 3.5 L 40 m.8.29 6. 48.83 m 3. a. 0.800, 0.810, 0.719 2. 1.1025k8 c. 71.230, 68.130, 5.731 5. 40.1kn/h Erercise 5.3 b.< l. a. 5.2 b. 3.7 c. 18.01 d. 10.04 e.4.05 l.a.< t< 2. a. l82l 0 b. 4ll c iru' d. 48! e r5rol 25 2. a. 7.2,'7.2 l, 7.29,'7.3 3. a.41.012,41.12,41.21,411.2 b. 8.0?, 8.?, 8.71, 8.S b. t20.79, t20.8, t2l.29,12r.30 c. 37.5, 37 -61, 42.9, 45.6 f5.34. a. 16.7,16.5,15.8, b. |.2t,1.2.1.02, t.002 d. 0.04,1.004, 1.04, l.t4 5. a. 34.299 b. 91.81 c. 16.479 d. 75.21o 3. a. l'7.21,14.25, 13.45. 12.71 6. a.2.088 b. 2.143 c. 13.223 d. 7.88 b. 81.32, 81.3, 81.23, 81.03 c. 48.5,38.5,27.5, 17.5 7.97.61',1 b. 92.05 c. 1?2.995 d. 12.22, \\2.21, 12.121 , t2.1 e. 170.8 8. a. 85.44 b. 6.01 f. 2065U 4. First prize-Amit Secod prize-Ajay Tbirdprize-Adu d. 106.14 e. 52.17 c. l0.l 5. Sonal, Usha. Kunal ed Karya 9. a.6.33 11. 14.88ke d. 40.1 f. 5_4545 10. 1.84 Lmlhr 12. l4.76km 1. a. 93.34 b. 171.72 c.249.07 d.162.,75 sA. l. 3.61 2. 10.5 cn 3. 3.30 cn 6. l5.5cm e. 255.46 f.330.51 9.142.255 b.754.35 4.<245.35 5. ll7.3cm 3. 12.357 2. 35.78 b. 102.25 c.74.158 B.1.57.32t 2. 31.257 e. 3.c ^. 22.213 494.19 I 100.57 4.53.2t0, 30.t25, t0.235 d. i.249.827 C.Lc 2.a g. 55-53 h. 23.13 3. 108_418 4. 29.75 5. 108.1 6- 347.75 Chapter 6 kn7. a. 78 b. He will travel l€s by going fiom A to C E!erche 6.1 kg8. 2.05 9. Wheat is sold nore by 17.45 kg L a.42\" b.90' c. 116' d. 180\" e. 134' f. 155. 10. 7.1k&2.4 kg ofJowar llEj2073.r litres Erercise 6.2 b. Straiglt tugle c. Right ugle e. Obtuse aDgle I Acure dgre Exercise 5.5 L a. Acute angle d. Complete dgle l a. lE.l b_ 237.2 c.73110 d. 4a92 f,lercke 6.4 e. 52900 f. r2t237 g. 3530 h. 929.2 lyEla. Perrer lines: AB and cD; AD and BC. L 94.692 j.613.92 k 649.704 t. 1964.7 Perlodicular lhes: AD, AB; AB, BC; BC. CD; CD, AD m.1280.5 q. 2'7.729 967.61 o. 193.92 p. \\20.007s b. Paraliel lines: PT, SRt PQ, SRi PS. pR. u. 38.9?6 r^.. 32.86 s. 180.516 r. 20.8377 Perpendiculaf lin€s: None 2. 40.44 kn \\.69.7221 w.34.375 x. 1147.04 5. < 126.875 3. llT.3lites 4. 1062.06km l. a.37' 2. a. Acute egle b. 56. c. 134' d. Sfiaight angle L]5 Axuq I17.55 calories b. tught.ngle c. Obtuse angle €. Conllei,e angle

4. a. PQ. CD, EC,AH 3. a. 1.295 b. 34.98;3.498 b. LCBG, LGIJ, LPBE c. 5455000; 545500000 d. 0.0748; 7.48 C- .4PBG. ZRFG d. P@llel liies: (BH, LM), (Ec, HM) Exercis€ E.2 b. 3 L 850 mL Perpendiculd lin$: (AH, HM), (EG; AH) d. 10m66cm r. ^.3YL54L92tln- 6. 38.5 kg c. 104 km 93 m 9 crn Chapter 7 2. 0.039 h! 3. 595 hg ErerciseT.l c. 30,35 7.3L7O0nn- L a. 243,729 b. 55, 9l LS l€a cm d. 35,48 Exerche8.3 2. 351 3. 15 x 15 =225 L a.5kg20I b. 258 L400nr Ererciue 7,3 d. 3621 kg 100 g 3. l0bonles L HalfTum 2. 1280 nL o.1L280mL + !-lJ5 4.0.22176krt 5. 12'tB B b. tl\"o-l_-] + Lls 3900 dae ++ + L a. 500g b. 400g c. lL d_12cn e.25L d. f. 2m c. True d. True 2. a. True c. 100m d. 5.5 m b. Fahe 3. a. 500I b. 200 kg 2. 808,888 3. H, I, N, O, S, X L a.2509 b. 5C c. 300 mL e. r00 kL g. 0.95 dam f. t.25 kL 4.2.2875hm 2. 17.63k9 La. l b.4 d.t 3. 1230m 5. 4.235 kg 7. a. rt 6. 28.2 dt e. iii b. ii tv 3. A, B. C, D, E. H, I. K, O. M, T, U, V, X. Y Chapter 9 5. a. 2t,28 b. 47,57 c. 26.37 Exercise 9.1 d. 500,25000 l a.80ch b.80cm 6.276 d. 144 cn e. 490 cm 7. 56 x 56:31i6 2. 54cm b. 48 cm f. 1l2cm 8. 5 + 19:24 ^. 8m I 180 cm mc. 7.8 d.42m e. j. 28 cm cmg. 100 h.24m 6+ 18=24 k. 216 cm t. 19.2m b.6m mc. 1.2 l. 264m tt + 13=24 3. a. l0cm d. 30 cn Chapter 8 4. 11.4m 5. a.179.6cm b. 82.8 m Exercise8.l Exercne 9.2 t. 99.22 sq. .m ml. a. 0.2.17 b_ 4.16 kg c.3.0,1.2].J cmL a. 15 sq. b. 8.68 sq. cm i. 5852.25 sq. cm d.0.0012t km e. 35.52 9 I 12.48 hg hd. 18.56 sq. e. 30.25 sq. m 2. a. 490000 dm b. 2500000 nm c. 18200 g g. 39.69 sq. cm h. 42.34 sq. cm d. 52300 cn e. l200mg f. 34000 cL j. 58 sq. m Ft f| 2281 fl , -rgrT'tr

2. z. 6 crl d. l2m 3. 2250 cn: 4. 42875cft1 5. 10on 3. 15.04 m? 6. 100000 ctrt 4. 33 m: 5. 450 tiles b. love ed respect for eld€F lyElcubicar, Ug square board Exercise 9.3 2. 7.5 sq. uits 3, 6 sq. uits 7. 12 sq. L'rits 5. 5 sq. mits c2. cube a, cuboidr€ 8. 7.5 sq. units 3. a. 6 cmr b. 15625 cml 4. 504nr s. 8ml l. l7 sq. uits 7200m3 d.9112, 6. tl'160 c[i 7. 15125 l. 27000 cmj 2. Yes l. 2l sees (approx,) 5. No b. 225 sq. cn c. 200 sq. rn d. 1976 sq. cm Chapter 1l g Exe.cise U.l 2. Leneth (m) 77 ll6 12 9 13 8 1. b. 336h c.864h d.1320h e.l196 h h. t626h Breadth (n) 52 7 999 E ^.216h t 996 h k. t409h L l9M h 28 j. 1931 h 24 t2 49 28 36 40 36 32 e. 536h c. 1980ftin d.3060 min b. 1620 min g.5275 min h.5802 min l5 8 36 48 10t 8l 99 65 i. 18?2 h 2. 720 rtitl I 3012 min Gqu- Gqu ^. I. t. a. 9 sq. units b. 8 sq. uirs c. 5 sq. uDits d. 13 sq. uirs e. 2346 inin l. 9000 min i.2200min s3120 156 cm: 1520 sq. cE 5. 700 sq. cm 3. a. 2580 s sf. 2062 c. ,|440 s d.5880s 6. 216 sq. m;60 m e. 905 s sI. 5919 5. 165 min 9.4604 s h.5881s 28 sq. m i. 4200 s k- ?200 s l. 25,200 s 4. 2730 s 7. 7320 s 6.500 mi! 8- a. 360h l. 360 cm 2. 8100cm'? 3. 309 cnf oinb- 21.600 c. 12,96.000s 4- Area difference = 219 nr1 Exercis€ 11.2 Pcrineter differenco = 3 10 cm l. a. 2 days l4h hb. 6 days 1l e. 6 days Chapter l0 d. 12 days 14h h.3odays c. l0 days 3 h k. lodays 5 h f,x€rcise 10.1 I. 12 days b. Emin35s I 18 days l2 h j. l? days 2l e.3min40s 1. t=4 cm,b=2cm.h:3 cn, v= 24 chr h. 9 min i. 16 days 8h 2. a. 5 I)]in 20s k. l4min ^. b. I h38 hin l.2odays I. l0 min 24 s e.5b b. I = 2 cm, b = 2 cm, h = 4 cm. | = 16 cm3 j. 12min 9 s h.8h c.2nin5s c. 1=2 crn,, =2 cm, /' = 2 cln, r= 8 cmr k. 1l h7 min f.5min32s d. 1:3 cm, D = 1 cm,, =2 cm, r=6cmr 3. a.2h42min h5. 24 days t i. 8 min d.2h35hin l. 7 miD32 s e. I:4 cm, b = 4 cm, h = 4cm,r =64 cfll c.3b42hin il /= 2 cm.,:5 cm,, = 1cm, v: l0 cmr s.3h22min i 14h e. 30 cmr t l4cnl j. th6mi! i. th 10 min Exerche 10,2 4. 14 b 48 min l. 12 h5 min 6. l0hin54s L s. 1080m3 b. 1440 cmr 720 n3 d. 2166r e. 6750cmr Exercise u.3 t 8000 cm3 l. a.3:12!.m. 2. a. 18 m3 b.64m3 b. 6:31p.m. c. l:12 a.m. d.3130p.o. d-2cm 2. a. 5:30 a.rn. e.2n 8:25 p.ll1. c.8:00p.m. d.3:20p.m. .9.

3. a. 6h 55 min b. 7 h 8 min c.4h 32 min d.3 h 7 min E!€rcise 12.3 b. < 794 c. I 1175 d. t 490? 8. 155085 h. 186233 4. a. 5th Augusr b. 9tb February c.6th October d. t6th Apiil l a. <300 f. < 33642 4. < 5822 {5. 11646 5. a. 62days b. 32days c.28days d.l5l days c. < 11519 3. ( 34110 3. 98 candies 4. a 1485 6. a.5frOctober b- 9ihJuly c.3lstJanuary d.41hMay 2. < t75 8.3h30mitr Exercise 12.4 9. 35 day! 10. I hour 50 min- l. { 3240 2. 360 km 6. a 920 l1.3h45min 12. 41 yeds 5 monlhs 5- 33onangoes lg;1r,2s\"... Exerche 1r.4 b. I t3.F c. 2l2aF d. 158.F cP (?) sP (<) Profit (g 3. a. 95'F c. 80'C d. 60.c 8.00 10.00 I r400F 20.00 25.00 .2.00 e. 185'F 2.00 2.00 5.00 4. a. 50oC b. 70'c 58.00 66.00 t5.00 40.00 E.00 o- 150'C t 100.c 22.00 26.50 5.00 16.00 12.00 4.50 l Starting time Finishingtime t Biscuits 7.00 14.00 j. Tov r6.00 20.00 7.00 t2:15 p.m. 3:20p.m- 3h5min 40.00 50.00 4.00 4.00 10.00 1.20 a.m. 5.10 a.m- 4h l0 min 50 days d. 301h Novcmber (previous year) 8:30 a.m. l0:50 a.h. 2h 20 mln 2. < 22t70 3. Gah ={ 18200 4. < 1320 5. t 506 2l sr April 6. 855 km 7.P=al3l7 t 2l sl March 32 days b. iii 8. a. ii c. 50 days Chapter 13 2.2h28min 3. lminl8s Ex€rcise 13.1 4. Concct statementi b l. 500 kn 5.8:r5a.m- 6.227days ?.34min 8. llh50min 9. a. 248.F b. :t9loF c. 608.F d. 833'F e. 932.F lyEl a. siation road ro vivekananda road and from rhore take left to 10. a. 120'C b. 70\"C c. 280'C d. 335.C e_ 500.C l. 15 minutes 2. 308 days 3. 8 h t0 min,6 h$ 25 min b. Katuba Mdg and Airpod Road 4. a. 284'F b. 167'F 5. a. 25'C b. 35'C c. 203.F d. 140'F c. Mahatna Gatubi road and Sedd Palel road; Kdrurba Marg 6. lst June 2015 c. 75.C d. lo.C d. North then west; North; East rhen nortl; East, South e. Kasnnba Mdg md Staiion Road Chapter 12 2. a. Marina Be&h rcad b- East Exercise 12.1 b. P=1205 c_ L=4 1000 d. L:a 781 c. Bell's Rd d. North I P=<21333 1 a. P=129 3. L:a2460 4. L=<600 e. Marina beach road. walaja roadj Chepauk hospital road e. P={lll3l 2. <201 lyElr2oo I . No.th; Mahaashtra. Madhya Pradesh, dd Rajasthan Exerche 12.2 2. Jr!'mu and Kashmir 3. Rajasthan 1. a- a l20 b. a 436 c. 4 2788 d. t4918 4. Wesl BeDgal, Orissa. Andha Pradesh, Tamil Nadu, Kerela. e. < 65131 2. < 558 f. < 71840 g. 176000 h. 4 50064 Kmataka. coa, Maharashtra ed cujdat. 3. { 13600 4. a 10100 5. a 37200 5. Goa 6. Soulh 7. 3,24,000 kn 8 Kenla *.....

Chapter l,l -3- Missing Breadlh ofbox -4. Missing Distance by train 2. winre :4 monLh.: \\4orsoon:2 mo.ds: SprinS: I monrh; -5. Missing Total Prcperty Autumn: I month; Sumer: 4 months d. USA ,3 b.2 3. a. UK b. AustElia nd Japan c. UK Ex€rcise 14.2 l objects Tally Mrks d. 3l - I and 3l e. acute tl Balh Ilrt lfi{ }r1{ }fl{ 20 -2. 22,713,428 T\\9enry-teo million seven hundred thirrcon Bats }I.ltD{I ll thousand fou hmdred twenty-eight. lru IN lrll 1l t7 3. LXXV 4- 84',162 5. 1490441 6.2xllxll 32 Spatula N{ rfl{ } r. Nr I${ }1.1{ tl 7. 0.04,0.14.0.18 8. t223.25 9.2866 23 Caps Irl{ h{ Ir+l hl{ l 10. HCF - 25. LCM - 33,250 11.90 t2. a. \\40.61 b. 1260 13.828 _..4t007 3. a. 2Ot 3at 32i 18.32 b. 140 c. 10 15. a. iii c. ii d. ii d. Piano and light music 15 kg e. iii t iii I. iii !. iii i. ii j iii k. ii l. ii Exercise 14.3 m.iii o. iii LS a. 35 ks b. 20 kg b. ii d. iii f. iii g.n h. iii i. ii c. Skin & Top and Churidds 2. a. 52 minuies b. 9l minutes 6. 100 cans 3. a. 17 c. Buger and biscuils 3. 4l'F 4. 7 m 5.3m d. 12 e. 50 7. { 9680 Ife.nli, Soulh, East Chapter l5 10. Volumc= 12.96 mr. Arca = 216 mr I L l: 20 h 2nd december 12. P=< t0 13. a. 30'C b. l0.c c. 400c -L Extra Height ofcDboid 14.50 ninutes,35 km,5 h 50min -2. Missing NumberofnaDgoes 16. A= 800 frr,lcnCth ofwire = 114 m

T @ Log on to our onu.e l,laths pod:t now available exclusively with the book for more practicesessiohs. MoreMaths is a diagnostic question bank for classes 4_10 with over 1OOOO questions. MoreMaths evaluates a chiLd's tearning and suggests remedial measures to fiu up learntng gaps. rThe questions in /rloreMaths are listed toDic wise r> graded as per difficutty tevet of Difficutt, Medium and Easv > tagged to leaming outcomes of KnowLedge, Understanding, Application and Synthesis have marks aLtocated to them l oreMaths attows students to generate practice sheets from the portat and practise on their own. lvloreMaths is supported by stide shows, animations and videos to enhance learnine. Molhs ypr\"ss tY/L;. -l I I -\"= I e5// N4a05uko3ogf3721 S0953B8f 7496st Mac-Genie, Anytime! Anywhere! At your pacel tt\"sMwmmoiatvachemrt,apitahntanonaynwreEfsahdyeuforceoralfttioefunanrnb-efriitrntsgesbde,ytoiwnueteaernamc5utisvate-nhdaevx1ee4rceyiedsauercssa.otiyonnomauta.\"athnpepmn.lao. ta*icc.sa-c.\"e;n.n.ai,e,rt.fn,MJltaiJicnp-cpeli'an\"iirerf,,rponrraonrv\",iodoennsyoy,o_ur. Why Mac-cenie? > Provides high-quatity practice exercises such as MCes, gap_fitts and matching > Inctudes quick tips to solve maths Droblems > Gjves step-by-step feedback to each soLuuon

Ms-tbs ypu^.p_g,\"y Maths Xpress for Classes I to 8 has b€en developed by practising teachers and maths experts. Based on the latest pedagogical approaches to teaching mathematics, the series provides a strong mathematical focus and plenty of opportunities for Continuous and Comprehensive Evaluation. The series isbased on the premise that all students can become pow€rful mathematical learners. Special Features . Lett Recall recapitulates previous knowledge ofconcepts . Maths Around Us helps students apply mathematical concepts in real-life situations . HOTS/Target Olympiad/Problem Solving empowers students to think out-of{he-box . Speed Maths/Mental Maths prepares students to carry out quick calculations . Take Care helps students avoid common errors . Maths Lab Activity and Proiect connect maths with real,life situations . Fun With Maths and Maths came reinforce the concepts taught in a fun way . Enrich Yourselfprovides deeper insight into the concept under study . Revision Station helps students in assessingtheir understanding ofthe concepts leatnt . Workheet helps in reinforcing the concepts learnt . Glossary serves as a ready rcference . Practice Sheets aid in compreh€nsive evaluation . Maths Engine includes tasks that foster creative thinking and problem-solving skills among students About the Author Usha Varadaraian is former Vice Principal and HOD Mathematics in P S. Senior Secondary School, Chennai. She has more than 30 years of teaching experience. A highly motivated teacher Ms Varadarajan has conducted workshops on 'Maths Lab and 'Maths Activitl for CBSE schools. She was a resource person of the Association ofMathematics T€achers oflndia in conducting workhops on non routine probl€m solving. She is also the recipient of an award for Long and Meritodous Service fot the cause of maths education from Srinivnsa Ramanujan Academy for maths talent. IA a' *=t .tl@J',lEHj Visrr: hl rpi?wwwmorcmaths.macmillaneducarion.in Macmillan Publishers lndia Pvl. Ltd. ilt|ilffilil[il| www.macmillaneducation.in