WORKSHEETS
WORKSHEET 1 1. Select the correct answer. (a) Which of the following is the number name of the smallest 7-digit number? (i) Ten thousand (ii) Ten lakh (iii) Ten million (iv) One lakh (b) Which of the following numbers represents ‘Forty-three crore eighty-five lakh forty-six thousand two hundred thirteen’? (i) 43,85,46,231 (ii) 43,85,46,312 (iii) 43,85,64,231 (iv) 43,85,46,213 (c) Which periods from the extreme right are the same in both the Indian and International Number Systems? (i) First 3 places (ii) First 4 places (iii) First 2 places (iv) They are all different (d) Which of the following represents 10 crores in the International number system? (i) 1 million (ii) 10 million (iii) 100 million (iv) None of these (e) What is the place value of 2 in 62,13,15,754? (i) 2 lakhs (ii) 2 crores (iii) 20 crores (iv) 20 lakhs 2. Separate the given numbers into periods as per the Indian Number system by putting commas and also write their number names. (a) 40635612 (b) 132506604 (c) 91645007 3. Write the smallest 8-digit number and the largest 7-digit number. 4. Fill in the blanks. (a) 10 million = ________ lakhs (b) 2 million = ________ lakhs (c) 250 million = __________ crores (d) 20 crores = _________ million 5. Write the predecessor and successor of the given numbers. (a) 8,14,99,999 (b) 3,21,46,794 (c) 78,43,14,621 6. Write the following numbers in expanded form. (a) 24,09,48,572 (b) 6,23,40,817 (c) 15,43,540 7. Compare the following pairs of numbers. Put the correct sign <, > or =. (a) 26,76,264 26,67,246 (b) 1,08,23,209 99,00,299 (c) 22,33,46,786 23,33,46,786 (d) 99,999 9,49,099 8. Arrange the following numbers in ascending and descending orders. (a) 48,76,042; 48,87,549; 48,78,432 (b) 1,03,14,620; 1,03,13,635; 1,03,14,627 9. Round off 4,52,24,331 to the nearest 10, 100 and 1,000. 10. Rewrite this news headline by rounding off the number to the nearest 1,000. ‘The Delhi government is close to its target of planting 15,84,342 trees’.
WORKSHEET 2 1. Select the correct answer. (a) MM is equal to: (i) 200 (ii) 2,000 (iii) 100 (iv) 1,000 (b) In Roman numerals, 51 is written as: (i) VI (ii) IL (iii) LI (iv) XXXXXI (c) What is the value of CXI in Hindu-Arabic numeral system? (i) 110 (ii) 101 (iii) 91 (iv) 111 (d) What is the value of _ C? (i) 10,000 (ii) 1,000 (iii) 1,00,000 (iv) 100 (e) How is 429 written in Roman numerals? (i) CCCCXXIX (ii) CDXXVIV (iii) CDXXIX (iv) DCXXIX (f) What is the value of M? (i) 10,000 (ii) 1,000 (iii) 1,00,000 (iv) 10,00,000 2. Fill in the blanks. (a) The Roman numeral system does not have a symbol to represent _________. (b) The number 1,000 is written in the Roman numeral system as _________. (c) A Roman number can be repeated only _________ in a row. (d) Roman number I can be subtracted only from _________ and _________. (e) Roman number _________ can be subtracted only from L and C. 3. Write the following numerals in the Hindu-Arabic numeral system. (a) XVI (b) XLVI (c) CDXL (d) CCXCI (e) DLXII (f) XXXIV (g) DCCIV (h) DCCCII (i) CMXIX (j) MCC 4. Write the following numerals in the Roman numeral system. (a) 248 (b) 95 (c) 305 (d) 891 (e) 226 (f) 55 (g) 361 (h) 71 (i) 380 (j) 74 5. Find the value of the following and write the answers using Roman numerals. (a) XCIV – XC (b) CLXV + CII (c) CCXCIV – CCXLI (d) DIV + CCC (e) DCCCXCIX – DC (f) M – CMX 6. Solve the following and write the answers using Roman numerals. (a) 38 + 40 (b) 7 × 30 (c) 62 × 4 (d) 56 + 30 (e) 4 × 12 (f) 50 × 2 (g) 25 × 5 (h) 500 × 4 7. Which of the following are not written as per the rules. (a) VVI (b) XLL (c) XL (d) ICC (e) CM (f) XDC (g) CDL (h) XLVI (i) XM (j) XII
WORKSHEET 3 1. Add the following numbers. (a) 21,264 and 48,192 (b) 6,21,04,637 and 56,15,168 (c) 50,43,09,186 and 65,048 (d) 6,54,79,306; 34,25,815 and 7,67,999 2. Subtract the following numbers and check your answer. (a) 31,487 from 23,15,549 (b) 7,43,38,640 from 14,05,19,656 (c) 14,46,785 from 44,31,443 (d) 62,40,658 from 88,56,076 3. Find the missing digits. (a) TL L TTh Th H T O 5 ? 6 ? 8 ? 3 + 2 9 3 0 ? 3 3 8 0 ? 7 4 7 ? (b) C TL L TTh Th H T O ? 4 5 0 ? 4 0 ? + 5 3 ? 9 3 ? 7 8 8 7 6 0 1 4 ? 0 (c) C TL L TTh Th H T O ? 3 1 8 ? 9 4 2 – 2 1 ? 5 4 0 ? 9 2 ? 6 ? 3 ? 7 ? (d) L TTh Th H T O ? 4 3 ? 7 ? – 5 6 ? 4 5 6 2 ? 8 5 ? 6 4. Solve the following and write the number name for the sum or difference obtained. (a) Five lakh thirty-eight thousand seven hundred fifteen plus twenty lakh thirty-five thousand six hundred twenty-four (b) Three crore twenty-three lakh ten thousand seven hundred forty plus sixty-four lakh (c) Two lakh thirty thousand five hundred ninety-seven minus one lakh twenty thousand three hundred fifty-two (d) Seventy-seven lakh sixteen thousand four hundred thirty minus thirty-eight lakh fifty-two thousand one hundred twenty-six 5. Estimate the sum by rounding off each number to the nearest 100. Also, check whether the sum obtained is close to the actual sum or not. (a) 46,316 + 3,17,956 (b) 4,21,832 + 5,36,122 6. Estimate the difference by rounding off each number to the nearest 1,000. Also, check whether the estimated difference is correct or not. (a) 3,53,865 – 1,00,420 (b) 49,43,660 – 44,64,650 7. Annu, Sheetal and Vinod saved ` 15,385; ` 10,897 and ` 13,494 respectively. Find the total amount saved by them? 8. There are 1,64,330 people in city A and 3,22,456 people in city B. How many more people are in city B than city A?
WORKSHEET 4 1. Multiply the given numbers. (a) 1,263 × 56 (b) 3,416 × 421 (c) 5,203 × 705 (d) 9,806 × 2,901 2. Find the product. (a) 5,935 × 10 (b) 3,641 × 100 (c) 32,522 × 900 (d) 1,114 × 3,000 3. Multiply using lattice multiplication method and verify the result by simple multiplication. (a) 3,120 × 48 (b) 4,031 × 99 (c) 9,212 × 636 (d) 2,956 × 32 4. Multiply using expanded form and check your answer by actual multiplication. (a) 2,409 × 62 (b) 1,786 × 131 (c) 1,089 × 1,276 5. Estimate the following products by rounding off each number to the nearest 10. (a) 3,582 × 27 (b) 6,517 × 141 (c) 5,297 × 1,031 (d) 1,010 × 561 6. Divide using long division method. (a) 675 ÷ 15 (b) 456 ÷ 24 (c) 448 ÷ 16 (d) 1,566 ÷ 29 7. Divide the following mentally and fill in the blanks. (a) 2,062 ÷ 10 Quotient = ______ Remainder = ______ (b) 338 ÷ 10 Quotient = ______ Remainder = ______ (c) 7,096 ÷ 100 Quotient = ______ Remainder = ______ (d) 7,379 ÷ 1,000 Quotient = ______ Remainder = ______ 8. Solve the following. (a) 6 × 4 + 2 – 8 (b) 150 ÷ 5 + 4 × 8 (c) 124 ÷ 4 + 8 × 14 – 6 9. Divide using the cancellation method. (a) 350 ÷ 70 (b) 3,050 ÷ 50 (c) 4,900 ÷ 700 (d) 44,000 ÷ 2,000 (e) 66,000 ÷ 500 (f) 2,400 ÷ 1,200 10. Solve the following word problems. (a) There are 100 shirts. If each shirt has 256 stripes on it, how many stripes are there in all on all the shirts? (b) A bangle shop ordered 82 boxes of bangles. There were 1,200 bangles in each box. How many bangles did the bangle shop order? (c) A travel agency sold 12 tickets for a trip from Mumbai to Goa for ` 44,928. For how much money did the travel agency sold one ticket? (d) The product of two numbers is 8,040. If one of the numbers is 670, find the other number. (e) A press can print 3,000 newspapers in 15 days. How many newspapers can it print in 45 days?
WORKSHEET 5 1. Fill in the blanks. (a) ________ are the numbers that can be multiplied together to get a product. (b) The factors of the dividend are ________ and ________. (c) ________ are the pairs of prime numbers having a difference of 2 between them. (d) ________ are numbers which are equal to the sum of their factors or divisors (including 1 but excluding the number itself). (e) ________ exactly divides all the given numbers without leaving any remainder. (f) The product of two ________ numbers give their L.C.M. (g) The product of H.C.F. and L.C.M. of two numbers is equal to the ________ of the two numbers. 2. Write True or False. (a) 10, 12, 20, 364, 982 and 356 are even numbers. (b) Odd numbers are the numbers ending with the digits 1 and 3 only. (c) Composite numbers are the numbers having only two factors. (d) A number is divisible by 6 if it is divisible by both 2 and 3. (e) The number 9,73,424 is divisible by 8. (f) The H.C.F. of 28 and 72 is 4. 3. Find: (a) the greatest 3-digit number and its prime factors. (b) the common factors of 18, 28, 46 and 58. (c) the greatest number which can divide 366 and 579. 4. The L.C.M. of two numbers is 1,344 and their H.C.F. is 4. If one of the numbers is 84, find the other number. 5. Find out whether the first number is a factor of the second number or not. Write yes if it is or write no if it is not. (a) 44; 2,816 ________ (b) 5; 225 ________ (c) 92; 2,281 ________ (d) 9; 981 ________ 6. Which of the following is not a multiple of 19? (a) 207 (b) 133 (c) 95 (d) 228 7. Which of the following is not a factor of 28? (a) 7 (b) 3 (c) 14 (d) 28 8. Which of the following is a pair of co-prime numbers? (a) 5 and 25 (b) 39 and 81 (c) 43 and 97 (d) 51 and 85
WORKSHEET 6 1. Classify the following fractions as proper, improper or mixed fractions. 8 5 , 6 17, 5 1 9 , 9 11, 15 4 , 6 4 9 , 25 6 , 4 7 , 11 2 3 2. Select the correct answer. (a) On reducing 63 105 to its lowest terms, we get ______________. (i) 3 5 (ii) 9 15 (iii) 21 35 (iv) 7 5 (b) Which of the following is the greatest fraction? (i) 5 1 3 (ii) 7 1 2 (iii) 11 5 (iv) 3 4 5 (c) The product of 21 35 and zero is ______________. (i) 1 (ii) 21 35 (iii) zero (iv) none of these 3. Fill in the blanks. (a) 21 35 ÷ 0 = ______________ (b) 1 3 + 7 36 + 4 9 = ______________ (c) 7 12 of 108 = ______________ (d) 9 10 of 110 = ______________ 4. Find the product. (a) 21 35 × 7 3 (b) 72 3 × 9 12 (c) 6 24 × 32 18 (d) 7 36 × 9 28 5. Find the reciprocal of the following fractions. (a) 21 5 (b) 8 17 (c) 19 7 (d) 27 42 6. Divide the following. (a) 49 147 ÷ 7 (b) 24 36 ÷ 12 3 (c) 5 1 4 ÷ 78 (d) 4 2 3 ÷ 2 1 4 7. Reduce the following fractions to their lowest terms using the H.C.F. method. (a) 49 63 (b) 18 36 (c) 222 244 (d) 125 275 8. Rita drank 2 3 of the apple juice kept in the refrigerator. Later, Simran drank 2 13 of the apple juice from the same container. How much of the juice did they drink in all? 9. Deepika gave 5 12 of a pizza to her father, 1 8 to her mother and the remaining to her brother. What fraction of the pizza did her brother get? 10. To prepare a cupcake, 3 4 cup of corn flour is required. How many cups of corn flour are required for preparing 16 cupcakes?
WORKSHEET 7 1. Write the place value of each digit of the given decimal numbers and write their expanded form. (a) 3,972.485 (b) 168.523 (c) 743.795 (d) 8,218.695 2. For the given decimal numbers write the integral part and the decimal part. Integral part Decimal part (a) 35.75 ____________ ____________ (b) 120.05 ____________ ____________ (c) 5,829.372 ____________ ____________ (d) 6.0075 ____________ ____________ 3. Arrange the following decimals in ascending order. (a) 0.61, 0.74, 1.09 (b) 0.016, 0.3, 0.005 (c) 3.024, 30.25, 36.214 4. Arrange the following decimals in descending order. (a) 0.350, 0.45, 0.305 (b) 3.15, 5.11, 12.5 (c) 362.75, 416.75, 302.705 5. Convert the following as directed. (a) 0.02, 120.3, 18.1 (Change to like decimals.) (b) 2.04 (Change to a fraction.) 6. Solve the following. (a) 0.14 + 4.31 + 0.9 (b) 4.48 + 20.075 + 6.793 (c) 2.5 + 20.50 + 2.005 (d) 5,604.21 – 1,123.7 (e) 134.72 – 2.2 – 1.37 (f) 2,235.67 – 834.46 7. Multiply the following. (a) 3.75 × 1.2 (b) 343.75 × 3 (c) 283.14 × 1.6 (d) 222.14 × 3.9 (e) 301.79 × 12 (f) 432.03 × 3.1 8. Fill in the blanks. (a) 5.14 × 10 = _____ (b) 6.279 × 100 = _____ (c) 8.62 × 100 = _____ (d) 44.314 × 1,000 = _____ (e) 1.02 × 1,000 = _____ (f) 764.89 × 10 = _____ 9. Mallika bought 2.750 kg apples, 1.250 kg grapes and 3.500 kg mangoes. What is the total weight of the fruits bought by her? 10. Neha has to travel a total distance of 14.250 km. She walks 2.5 km and covers 7.5 km by a bus. How many more kilometres does she have to travel? 11. Jaya bought 6 bottles of vanila shake. If each bottle contains 750 mL of shake, how many litres of shake did Jaya buy? 12. A shopkeeper had ` 1,284.25 with him on a Monday morning. At the end of the day’s sale, he had ` 15,700.50. How much money did he earn during the day?
WORKSHEET 8 1. Represent –9, –5, 0, 3 and 9 on a number line. 2. Locate the following points on the given number line representing integers. E D A 0 C B F (a) If point A represents 0, then which point represents –7? (b) Is letter B represent a negative integer or a positive integer? (c) Write the integers for points C and E. (d) Which point on the given number line has the smallest value? (e) Arrange all the points in ascending order of their values. (f) Which point is opposite to E on the number line? 3. Write the predecessor and successor of each of the following integers. (a) –5 (b) –7 (c) 9 (d) –3 4. Write True or False for the following statements. (a) 0 is to the right of –4 on a number line. (b) +10 is to the right of +5 on a number line. (c) The greatest negative integer is –2. (d) 0 is an integer that is neither positive nor negative. 5. Select the correct answer. (a) Which is the greatest negative integer lying between –6 and 4? (i) –5 (ii) 3 (iii) –1 (iv) –4 (b) What is the sum of the integers –5 and 5? (i) 1 (ii) 0 (iii) –1 (iv) +10 (c) Which integer is neither positive nor negative? (i) –1 (ii) 0 (iii) 1 (iv) 2 (d) Which integer is the greatest among –5, –2, –10 and –15? (i) –10 (ii) –2 (iii) –5 (iv) –15 6. Draw a number line and answer the following. (a) On a number line, which number is 8 steps to the right of –5? (b) On a number line, which number is 5 steps to the left of +6? (c) In which direction should we move to reach –7 from – 2? 7. Arrange –10, 16, 0, –12 and –98 in ascending order. 8. Add –4 and +2 using a number line. 9. Subtract –5 from 2 using a number line. 10. Find the following without using a number line. (a) –5 + (–4) (b) (–16) – 5 (c) (27) – (+16) (d) (–3) – (–6)
WORKSHEET 9 1. Measure the following angles using a protractor and then classify them as acute, right, obtuse or straight. (a) A B C (b) X Y Z (c) E F G (d) L M N 2. Complete the following figures to create a 2D symmetrical shape. (a) (b) (c) (d) 3. Name the solids that can be formed from the given nets. (a) (b) (c) 4. Which shapes will look the same after a half turn? (a) (b) (c) (d) 5. Draw a plane of symmetry for the following figures, if any. (a) (b) (c) (d)
WORKSHEET 10 1. Find the perimeter of the figures whose dimensions are given below. (a) 26 cm, 38 cm, 20 cm, 42 cm, 60 cm (b) 8 m, 6 m, 11 m, 12 m (c) 15 mm, 6 mm, 12 mm, 4 mm, 3 mm 2. Find the perimeter of rectangles whose dimensions are given below using the formula. (a) Length = 6 cm, Breadth = 3 cm (b) Length = 11 cm, Breadth = 8 cm 3. Find the perimeter of squares whose dimensions are given below. (a) 5 cm (b) 11 cm (c) 13 cm (d) 17 m (e) 20 m (f) 16 cm 4. Find the perimeter of the triangles whose dimensions are given below using the formula. (a) a = 3 cm, b = 5 cm, c = 6 cm (b) a = 6 cm, b = 10 cm, c = 12 cm (c) a = 12 cm, b = 14 cm, c = 16 cm (d) a = 20 m, b = 22 m, c = 24 m 5. Find the length of the side of squares whose perimeters are given below. (a) 44 cm (b) 96 cm (c) 112 cm (d) 124 cm (e) 168 cm (f) 188 cm 6. Find the area of rectangles whose dimensions are given below. (a) Length = 12 m, Breadth = 10 m (b) Length = 10 cm, Breadth = 15 cm 7. Find the area of the squares with the given sides. (a) 4 cm (b) 5 m (c) 13 cm (d) 9 m 8. If the length of a rectangle is 36 m and its breadth is 24 m, find the perimeter of the rectangle. 9. The sides of a triangular park are 30 m, 20 m and 50 m. Find the cost of fencing the park, if it costs ` 5.50 per metre. 10. If the breadth of a rectangular field is 40 m and its area is 2,880 m2 , find the length of the rectangular field. 11. The area of a hall is 240 m2 . If its length is 20 m, find the breadth of the hall. 12. The floor of a room is 12 m long and 10 m wide. Find the cost of carpeting its floor, if the cost of carpeting is ` 25 per m2 . 13. Fill in the boxes. (a) Length of a rectangle = Breadth (b) Perimeter of a triangle = + +
WORKSHEET 11 1. Fill in the blanks. (a) The length of a pen = 12 cm = ___________ mm. (b) The distance between two metro stations = 2.6 km = ___________ m. (c) The weight of some mangoes = 2,800 g = ___________ kg. (d) The weight of a pair of small gold earrings = 15 dg = ___________ g. (e) The capacity of a can of juice = 300 mL = ___________ L. (f) The capacity of a bottle of water = 2.3 L = ___________ mL. 2. Write True or False. (a) Centigram is a larger unit when compared to the standard unit of weight. (b) To convert 1 km to dam, one should divide the value by 100. (c) 0.86 m = 860 cm (d) 1 g = 0.001 kg (e) 45 m is a shorter distance than 45 km. 3. Solve the following. (a) Add 13 kg 75 g, 34 kg 90 g and 56 kg 650 g. (b) Subtract 73 m 85 cm from 209 m 50 cm. (c) Subtract 187 kg 525 g from 189 kg 7 hg 8 g. (d) Multiply 605 g by 36 and express answer in kg. (e) Divide 6,228 L by 96 and express answer in mL. 4. Milind goes for a walk and covers a distance of 2.375 km. The next day he takes a different route and covers a distance of 1.653 km. How much total distance does he cover in two days? Also, find which route is shorter and by how much. 5. How many cups of 0.40 L tea can be served from a kettle of 5 L? If 75 cups of tea is to be served, how many times the kettle needs to be refilled and what is the total quantity of tea served? 6. Priya buys 7.364 kg apples, 4.684 kg oranges, 3.195 kg grapes, 6.714 kg pears and 5.361 kg cherries for a function. What is the total weight of fruits she buys? 7. A car covers 65.45 km in the first hour, 58.60 km in the second hour and 46.375 km in the third hour. How much distance does it cover in all? 8. Answer the following. (a) What should be added to 25.36 m to obtain 52.63 m? (b) By how much is 34.26 kg more than 4 kg? (c) Find the sum of 19 L 450 mL, 61 L 250 mL and 43 L 750 mL. (d) Which is smaller: 93,608 km or 9,36,900 m?
WORKSHEET 12 1. Fill in the blanks. (a) 1 day = ________ hours (b) 1 hour = ______ minutes (c) 1 minute = ______ seconds (d) _______ days = 1 week (e) 1 leap year = ______ days (f) 100 paise = _______ rupee 2. Select the correct answer. (a) 3 h 15 min = ___________ s (i) 11,700 (ii) 21,250 (iii) 11,500 (iv) 11,000 (b) ` 74.23 × 4 = ___________ (i) ` 246.98 (ii) ` 296.92 (iii) ` 196.80 (iv) ` 263.98 (c) 6 h 35 min x 13 = ________ min (i) 5,135 (ii) 5,153 (iii) 5,314 (iv) 5,413 (d) ` 151.60 = ________ paise (i) 15,135 (ii) 15,153 (iii) 15,160 (iv) 15,413 (e) 25 h 55 min 27 s ÷ 3 = ________ (i) 512 min 29 s (ii) 418 min 29 s (iii) 518 min 29 s (iv) 520 min 29 s 3. Look at the given bill. The shopkeeper has made some mistakes in hurry. Correct the mistakes and make a fresh bill. RAJ STATIONERY Bill No. 245 Date: 6 June, 2017 S. No. Items Quantity Price (in `) Amount ` p 1. 2. 3. 4. Box of 10 pencils Box of 5 pens Eraser Geometry box 18 15 20 8 38.50 75.00 3.50 100.00 594.00 1,215.00 70.00 700.00 Total 2,866.00 4. Mr Singh purchases the following sports items from MANAV SPORTS. • 4 footballs, each for ` 850 • 8 cricket bats, each for ` 1,200 • 6 basketballs, each for ` 750 • 8 skipping ropes, each for ` 125 Prepare a bill for the above items. If Mr Singh gives ` 20,000 to the shopkeeper, how much money will he get back?
WORKSHEET 13 1. Write the percentage represented by the following grids. (a) (b) (c) 2. Shade the indicated percentages in the given grids. (a) 59% (b) 84% (c) 99% 3. Select the correct answer. (a) What is 25% of ` 250? (i) ` 63.4 (ii) ` 62.5 (iii) ` 62.00 (iv) ` 67 (b) What is 9 20 as percentage? (i) 43% (ii) 47% (iii) 45% (iv) 54% (c) What is 12 15 % as a fraction? (i) 1 125 (ii) 4 125 (iii) 5 125 (iv) 2 125 (d) What is 2.545 as percentage? (i) 254% (ii) 254.6% (iii) 254.5% (iv) 25.4% (e) What percentage is 70 paise of ` 5? (i) 14% (ii) 15% (iii) 16% (iv) 17% 4. If 25% of 180 apples are spoilt, find the number of spoilt apples. 5. In a group of 75 NCC cadets, if only 45 cadets were present on a rainy day then what percentage of cadets were absent? 6. John scored 540 marks out of 600. What is his percentage of marks? 7. Muskan spent ` 150 out of her pocket money of ` 500. What percentage of money is she left with?
WORKSHEET 14 1. The pictograph shows the number of visitors at various holiday destinations during winters. Favourite Holiday Destinations Holiday Destinations Number of Visitors Mussoorie Shimla Manali Ooty Scale: = 100 visitors (a) Which place had the maximum number of visitors? (b) Which is the second most favourite destination? (c) What is the total number of visitors at all four places? (d) Arrange the places in the increasing order of number of visitors. 2. Five children ate the given numbers of fruits in last three days. Arushi: 8, Devesh: 12, Honey: 15, Kinjal: 10 and Vini: 6 Represent the given data using a bar graph. 3. The given pie chart shows the number of fruits bought by a lady. Answer the following questions. (a) What is the total number of fruits bought? (b) How many more mangoes are bought than guavas? (c) The sum of which two fruits is equal to the remaining three fruits? (d) Which fruits represent the same area on the pie chart? 4. Read the following line graph and answer the questions that follow. (a) What information do you get from the line graph? (b) On which day was the temperature maximum? How much was that? (c) What is the difference between the maximum and minimum temperatures? (d) Which days had the same temperature? Orange 20 Guava 5 Pineapple 10 Mango 15 Litchi 10 0 5 1 2 3 4 5 6 10 15 20 25 30 35 40 45 50 Days Temperature (in °C) X-axis Y-axis Scale: Y-axis: 1 cm = 5°C
WORKSHEET 15 1. Look at the patterns carefully, identify the unit of repeat and extend them. (a) ___________________ (b) ________________ (c) 135713571357 ____________ (d) AEIOUAEIOUAEIUO ____________ 2. Complete the following patterns. (a) _________ _________ (b) _________ _________ (c) _________ _________ 3. Extend the following patterns by identifying the pattern rule. (a) 1, 2, 4, 8, 16, ______, ______, ______ (b) 5, 10, 15, 20, ______, ______, ______ (c) ______ ______ ______ (d) A 1 B 2 C 3 D 4 ______ ______ ______ 4. (a) Use the following code to code the given messages. A 26 B 25 C 24 D 23 E 22 F 21 G 20 H 19 I 18 J 17 K 16 L 15 M 14 N 13 O 12 P 11 Q 10 R 9 S 8 T 7 U 6 V 5 W 4 X 3 Y 2 Z 1 (i) I LOVE MY COUNTRY (ii) HELP EVERYONE (b) Use the above code to decode the following messages. (i) 15 18 5 22 26 13 23 15 22 7 15 18 5 22 (ii) 21 9 18 22 13 23 8 26 9 22 21 12 9 22 5 22 9
ANSWERS TO WORKSHEETS
WORKSHEET 1 1. (a) (ii) (b) (iv) (c) (i) (d) (iii) (e) (ii) 2. (a) 4,06,35,612; Four crore six lakh thirty-five thousand six hundred twelve (b) 13,25,06,604; Thirteen crore twenty-five lakh six thousand six hundred four (c) 9,16,45,007; Nine crore sixteen lakh forty-five thousand seven 3. Smallest 8-digit number: 1,00,00,000; Largest 7-digit number: 99,99,999 4. (a) 100 (b) 20 (c) 25 (d) 200 5. (a) 8,14,99,998 and 8,15,00,000 (b) 3,21,46,793 and 3,21,46,795 (c) 78,43,14,620 and 78,43,14,622 6. (a) 24,09,48,572 = 20,00,00,000 + 4,00,00,000 + 9,00,000 + 40,000 + 8,000 + 500 + 70 + 2 (b) 6,23,40,817 = 6,00,00,000 + 20,00,000 + 3,00,000 + 40,000 + 800 + 10 + 7 (c) 15,43,540 = 10,00,000 + 5,00,000 + 40,000 + 3,000 + 500 + 40 7. (a) > (b) > (c) < (d) < 8. (a) Ascending order: 48,76,042; 48,78,432; 48,87,549 Descending order: 48,87,549; 48,78,432; 48,76,042 (b) Ascending order: 1,03,13,635; 1,03,14,620; 1,03,14,627 Descending order: 1,03,14,627; 1,03,14,620; 1,03,13,635 9. Nearest 10: 4,52,24,330; Nearest 100: 4,52,24,300; Nearest 1,000: 4,52,24,000 10. The Delhi government is close to its target of planting 15,84,000 trees. WORKSHEET 2 1. (a) (ii) (b) (iii) (c) (iv) (d) (iii) (e) (iii) (f) (iv) 2. (a) zero (b) M (c) thrice (d) V; X (e) X 3. (a) 16 (b) 46 (c) 440 (d) 291 (e) 562 (f) 34 (g) 704 (h) 802 (i) 919 (j) 1,200 4. (a) CCXLVIII (b) XCV (c) CCCV (d) DCCCXCI (e) CCXXVI (f) LV (g) CCCLXI (h) LXXI (i) CCCLXXX (j) LXXIV 5. (a) IV (b) CCLXVII (c) LIII (d) DCCCIV (e) CCXCIX (f) XC 6. (a) LXXVIII (b) CCX (c) CCXLVIII (d) LXXXVI (e) XLVIII (f) C (g) CXXV (h) MM 7. (a), (b), (d), (f) and (i)
WORKSHEET 3 1. (a) 69,456 (b) 6,77,19,805 (c) 50,43,74,234 (d) 6,96,73,120 2. (a) 22,84,062 (b) 6,61,81,016 (c) 29,84,658 (d) 26,15,418 3. (a) TL L TTh Th H T O 5 1 6 6 8 4 3 + 2 9 3 0 6 3 3 8 0 9 7 4 7 6 (b) C TL L TTh Th H T O 3 4 5 0 8 4 0 2 + 5 3 0 9 3 0 7 8 8 7 6 0 1 4 8 0 (c) C TL L TTh Th H T O 4 3 1 8 7 9 4 2 – 2 1 5 5 4 0 6 9 2 1 6 3 3 8 7 3 (d) L TTh Th H T O 8 4 3 9 7 2 – 5 6 5 4 5 6 2 7 8 5 1 6 4. (a) Twenty-five lakh seventy-four thousand three hundred thirty-nine (b) Three crore eighty-seven lakh ten thousand seven hundred fourty (c) One lakh ten thousand two hundred forty-five (d) Thirty-eight lakh sixty-four thousand three hundred four 5. (a) Estimated sum: 3,64,300; Actual sum: 3,64,272 (b) Estimated sum: 9,57,900; Actual sum: 9,57,954 6. (a) 2,54,000 (b) 4,79,000 7. ` 39,776 8. 1,58,126 people WORKSHEET 4 1. (a) 70,728 (b) 14,38,136 (c) 36,68,115 (d) 2,84,47,206 2. (a) 59,350 (b) 3,64,100 (c) 2,92,69,800 (d) 33,42,000 3. (a) 1,49,760 (b) 3,99,069 (c) 58,58,832 (d) 94,592 4. (a) 1,49,358 (b) 2,33,966 (c) 13,89,564 5. (a) 1,07,400 (b) 9,12,800 (c) 54,59,000 (d) 5,65,600 6. (a) 45 (b) 19 (c) 28 (d) 54 7. (a) Quotient = 206; Remainder = 2 (b) Quotient = 33; Remainder = 8 (c) Quotient = 70; Remainder = 96 (d) Quotient = 7; Remainder = 379
8. (a) 18 (b) 62 (c) 137 9. (a) 5 (b) 61 (c) 7 (d) 22 (d) 132 (f) 2 10. (a) 25,600 stripes (b) 98,400 bangles (c) ` 3,744 (d) 12 (e) 9,000 newspapers WORKSHEET 5 1. (a) Factors (b) divisor; quotient (c) Twin primes (d) Perfect numbers (e) H.C.F. (f) prime (g) product 2. (a) True (b) False (c) False (d) True (e) True (f) True 3. (a) 999; 3 × 3 × 3 × 37 (b) 1 and 2 (c) 3 4. 64 5. (a) Yes (b) Yes (c) No (d) Yes 6. (a) 7. (b) 8. (c) WORKSHEET 6 1. Proper fractions: 6 17, 9 11, 4 7 ; Improper fractions: 8 5 , 15 4 ; Mixed fraction 5 1 9 , 6 4 9 , 11 2 3 2. (a) (i) (b) (ii) (c) (iii) 3. (a) not defined (b) 35 36 (c) 63 (d) 99 4. (a) 7 5 (b) 18 (c) 4 9 (d) 1 16 5. (a) 5 21 (b) 17 8 (c) 7 19 (d) 42 27 6. (a) 1 21 (b) 1 6 (c) 7 104 (d) 2 2 27 7. (a) 7 9 (b) 1 2 (c) 111 122 (d) 5 11 8. 28 39 of juice 9. 11 24 10. 12 cups WORKSHEET 7 1. (a) Place value of 3 is 3 thousands, i.e., 3,000. Place value of 9 is 9 hundreds, i.e., 900. Place value of 7 is 7 tens, i.e., 70. Place value of 2 is 2 ones, i.e., 2. Place value of 4 is 4 tenths, i.e., 4 10.
Place value of 8 is 8 hundredths, i.e., 8 100. Place value of 5 is 5 thousandths, i.e., 5 1000. Expanded form: 3,000 + 900 + 70 + 2 + 4 10 + 8 100 + 5 1000 (b) Place value of 1 is 1 hundred, i.e., 100. Place value of 6 is 6 tens, i.e., 60. Place value of 8 is 8 ones, i.e., 8. Place value of 5 is 5 tenths, i.e., 5 10. Place value of 2 is 2 hundredths, i.e., 2 100. Place value of 3 is 3 thousandths, i.e., 3 1000. Expanded form: 100 + 60 + 8 + 5 10 + 2 100 + 3 1000 (c) Place value of 7 is 7 hundreds, i.e., 700 Place value of 4 is 4 tens, i.e., 40. Place value of 3 is 3 ones, i.e., 3. Place value of 7 is 7 tenths, i.e., 7 10. Place value of 9 is 9 hundredths, i.e., 9 100. Place value of 5 is 5 thousandths, i.e., 5 1000. Expanded form: 700 + 40 + 3 + 7 10 + 9 100 + 5 1000 (d) 8,218.695 Place value of 8 is 8 thousands, i.e., 8,000. Place value of 2 is 2 hundreds, i.e., 200. Place value of 1 is 1 ten, i.e., 10. Place value of 8 is 8 ones, i.e., 8. Place value of 6 is 6 tenths, i.e., 6 10. Place value of 9 is 9 hundredths, i.e., 9 100. Place value of 5 is 5 thousandths, i.e., 5 1000. Expanded form: 8,000 + 200 + 10 + 8 + 6 10 + 9 100 + 5 1000
2. Integral part Decimal part (a) 35 75 (b) 120 05 (c) 5829 372 (d) 6 0075 3. (a) 0.61, 0.74, 1.09 (b) 0.005, 0.016, 0.3 (c) 3.024, 30.25, 36.214 4. (a) 0.45, 0.350, 0.305 (b) 12.5, 5.11, 3.15 (c) 416.75, 362.75, 302.705 5. (a) 0.02, 120.30, 18.10 (b) 204 100 or 51 25 6. (a) 5.35 (b) 31.348 (c) 25.005 (d) 4,480.51 (e) 131.15 (f) 1,401.21 7. (a) 4.5 (b) 1,031.25 (c) 453.056 (d) 866.346 (e) 3,621.48 (f) 1,339.293 8. (a) 51.4 (b) 627.9 (c) 862 (d) 44,314 (e) 1,020 (f) 7,648.9 9. 7.500 kg 10. 4.25 km 11. 4.5 L 12. ` 14,416.25 WORKSHEET 8 1. –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 2. (a) D (b) a positive integer (c) 4, –10 (d) E (e) E, D, A, C, B, F (f) F 3. (a) –6, –4 (b) –8, –6 (c) 8, 10 (d) –4, –5 4. (a) True (b) True (c) False (d) True 5. (a) (iii) (b) (ii) (c) (ii) (d) (ii) 6. (a) +3 (b) +1 (c) towards the left 7. –98 < –12 < –10 < 0 < 16 8. –2 9. 7 10. (a) –9 (b) –21 (c) 11 (d) 3 WORKSHEET 9 1. (a) 35°, acute angle (b) 135°, obtuse angle (c) 180°, straight angle (d) 90°, right angle
2. (a) (b) (c) (d) 3. (a) cone (b) cylinder (c) cuboid 4. (a), (c) and (d) 5. (a) (b) (c) (d) WORKSHEET 10 1. (a) 186 cm (b) 37 m (c) 40 mm 2. (a) 18 cm (b) 38 cm 3. (a) 20 cm (b) 44 cm (c) 52 cm (d) 68 m (e) 80 m (f) 64 cm 4. (a) 14 cm (b) 28 cm (c) 42 cm (d) 66 m 5. (a) 11 cm (b) 24 cm (c) 28 cm (d) 31 cm (e) 42 cm (f) 47 cm 6. (a) 120 sq m (b) 150 sq cm 7. (a) 16 sq cm (b) 25 sq m (c) 169 sq cm (d) 81 sq m 8. 120 m 9. ` 550 10. 72 m 11. 12 m 12. ` 3,000 13. (a) Area (b) Side + Side + Side WORKSHEET 11 1. (a) 120 (b) 1,600 (c) 2.8 (d) 1.5 (e) 0.3 (f) 2,300 2. (a) False (b) False (c) False (d) True (e) True 3. (a) 103 kg 815 g (b) 135 m 65 cm (c) 2 kg 183 g (d) 21.780 kg (e) 64,875 mL
4. 4.028 km; The second route is shorter by 722 metres. 5. 12.5 cups; The kettle needs to be refilled 6 times; 30 L of tea 6. 27.318 kg 7. 170.425 km 8. (a) 27.27 m (b) 30.26 kg (c) 124 L 450 mL (d) 9,36,900 m WORKSHEET 12 1. (a) 24 (b) 60 (c) 60 (d) 7 (e) 366 (f) 1 2. (a) (i) (b) (ii) (c) (i) (d) (iii) (e) (iii) 3. RAJ STATIONERY Bill No. 245 Date: 6 June, 2017 S. No. Item Quantity Price (in `) Amount ` p 1. 2. 3. 4. Box of 10 pencils Box of 5 pens Eraser Geometry box 18 15 20 8 38.50 75.00 3.50 100.00 693.00 1,125.00 70.00 800.00 Total 2,688.00 4. MANAV SPORTS Bill No. 22 S. No. Item Quantity Price (in ` per quantity) Amount ` p 1. 2. 3. 4. Football Cricket bat Basketball Skipping rope 4 8 6 8 850 1,200 750 125 3,400.00 9,600.00 4,500.00 1,000.00 Total 18,500.00 Mr Singh will get back ` 1,500. WORKSHEET 13 1. (a) 50% (b) 25% (c) 100% 2. Students to do on their own. 3. (a) (ii) (b) (iii) (c) (i) (d) (iii) (e) (i) 4. 45 5. 40% 6. 90% 7. 70%
WORKSHEET 14 1. (a) Shimla (b) Ooty (c) 2,200 (d) Manali < Mussoorie < Ooty < Shimla 2. Students to do on their own. 3. (a) 60 (b) 10 (c) Orange + Litchi or Orange + Pineapple (d) Litchi and Pineapple 4. (a) Change in temperature over six days. (b) On fourth day; 45 °C (c) 15 °C (d) Third and fifth WORKSHEET 15 1. (a) (b) (c) 1357 (d) AEIUO 2. (a) (b) (c) 3. (a) 32, 64, 128 (b) 25, 30, 35 (c) (d) E5, F6, G7 4. (a) (i) 18 15 12 5 22 14 2 24 12 6 13 7 9 2 (ii) 19 22 15 11 22 5 22 9 2 12 13 22 (b) (i) LIVE AND LET LIVE (ii) FRIENDS ARE FOREVER