Question bank

Chapter-1   Place Value
Q-1 Fill in the blanks:
(a) In number 4387, 4 is in ______ place.
(b) In number 4387, 3 is in ______ place.
(c) In number 4387, 8 is in ______ place.
(d) In number 4387, 7 is in _______ place.
Q-2 True or False:
(a) The place-value chart has been separated into groups called periods.
(b) The ones period has two places.
(c) The thousands period has two places.
(d) 99999 is the largest five digit number.
Q-3 One word answer:
(a) Smallest 5 digit number.
(b) Largest 3-digit number.
(c) What is a 6-digit number which moves into a new period called?
(d) How many one-digit numbers are there?
Q-4

Write numbers shown on the abacus :
Q-5

Represent the following numbers on the abacus in your note book:
(a) 59067 (b) 753285 (c) 576105 (d) 751250 (e) 51203
Q-6

Match the following:
Q-7

Write the following numbers in words:
(a) 89,456
(b) 34,372
(c) 4,67,030
(d) 3,70,371
Q-8

Write these numbers in figures. While writing numbers don’t forget to put commas at proper places :
(a) Thirty-nine thousand five
(b) Forty-four thousand seven hundred sixty-seven
(c) Seventy thousand six hundred ninety-five
(d) Seven lakh eight thousand fifty-six
(e) Ten lakh six hundred eighty-two
Q-9

Write the following numbers in standard numeral form:
(a) 50,000 + 6,000 + 900 + 70 + 5 = _______________
(b) 30,000 + 5,000 + 700 + 30 + 1 = _______________
(c) 40,000 + 700 + 50 + 3 = _______________
(d) 2,00,000 + 20,000 + 40 + 2 = _______________
Q-10

Write the expanded form for each of the following:
(a) 73,875 (b) 64,098 (c) 30,770 (d) 5,25,684
Q-11

Write the place value of the circled digit in each of the following:
Q-12

Complete the series by counting in tens :
(a) 7,430; 7,440; _______ ; _______ ; _______ ; _______ (b) 23,770; 23,780; _______ ; _______ ; _______ ; _______
Q-13

Complete the series by counting in hundreds :
(a) 8,480; 8,580; _______ ; _______ ; _______ ; _______ (b) 46,739; 46,839; _______ ; _______ ; _______ ; _______
Q-14

Complete the series by counting in thousands :
(a) 3,674; 4,674 _______ ; _______ ; _______ ; _______ (b) 47,003; 48,003; _______ ; _______ ; _______ ; _______
Q-15

Complete the series by counting in ten thousands :
(a) 34,427; 44,427; _______ ; _______ ; _______ ; _______ (b) 28,679; 38,679; _______ ; _______ ; _______ ; _______
Q-16

Find the sum of the place values of 6 in each of the following :
(a) 4,676 (b) 68,666 (c) 66,987 (d) 69,146
Q-17

Find the difference of the place values of 4 in each of the following:
(a) 4,431 (b) 34,746 (c) 5,443 (d) 8,404
Q-18

Put the sign ‘<’ or ‘>’ in the box :
Q-19

Circle the smallest number in each of the following :
(a) 3,932; 4,932; 3,933 (b) 22,819; 9,919; 22,917 (c) 66,066; 6,606; 66,660 (d) 9,810; 7,89,032; 9,89,320
Q-20

Circle the greatest number in each of the following :
(a) 43,791; 43,971; 34,971                    (b) 19,964; 9,779; (c) 48,139; 84,139; 84,931                     (d) 92,781; 29,872; 98,632
Q-21

Arrange the numbers in ascending order :
(a) 30,992; 30,999; 23,902; 30,939 _______________________________ (b) 40,196; 42,961; 14,961; 4,961 _______________________________ (c) 68,391; 98,631; 68,139; 86,319 _______________________________ (d) 2,48,396; 94,846; 98,346; 89,463 _______________________________
Q-22

Arrange the numbers in descending order :
(a) 5,396; 4,639; 3,496; 5,693 _______________________________ (b) 69,032; 9,62,023; 3,23,216; 6,242 _______________________________ (c) 9,90,876; 7,90,866; 7,76,690; 9,80,776 _______________________________ (d) 9,816; 7,89,032; 1,00,000; 1,00,100 _______________________________ (e) 46,931; 98,436; 5,10, 482; 8,20,913 _______________________________
Q-23

Use the digits to make the greatest number and the smallest number possible. Do not repeat the digits.
Q-24

Do as directed :
(a) Write the greatest 4-digit number formed by 6,7,8,2, __________________ (b) Write the smallest 6-digit number formed by 4,5,8,0,2,6 __________________ (c) Write the greatest 6-digit number formed by 4,0,6,1,8,5 __________________ (d) Write the smallest 5-digit number formed by 2,9,1,4,7 __________________ (e) Write the greatest 5-digit number formed by 4,0,8,1,9 __________________
Q-25

Round off these numbers to nearest 10 :
Q-26

Round off these numbers to nearest 100 :
Q-27

Round off these numbers to nearest 1000 :
Q-28

Practical Applications -
(a) 78 students of a class are to be given one apple each to eat. How many apples should the class teacher order to the nearest 10 ?
(b) A shop is selling a fan for ` 745. What is the cost of fan if its cost is rounded off to nearest 100.
(c) Shreya has pay her school fee of ` 2,835 for three months. How much money should she take rounded off to the nearest 100 ?
(d) 2,530 people were expected for the Annual Day celebration of a school. How many chairs should be hired, rounded off to the nearest 1000 ?
Q-29

Write the value for each of these Roman numerals in Hindu-Arabic numbers :
Q-30

Write the value for each of these numbers in Roman numerals :
Q-31

Write the number before and after :
(a) ______ XIX ______ (b) ______ XXXIX ______ (c) ______ XL ______ (d) ______ XC ______
Q-32

Fill in the blanks with ‘>’, ‘>’ or ‘=’ :
Q-33

Express the differences in Roman numerals. One has been done for you.
(a) 23 – 16 = VII (b) 35 – 15 = _______ (c) 16 – 7 = _______ (d) 56 – 26 = _______ (e) 9 – 5 = _______
Multiple Choice Questions
Q-1 ______ is the largest 4-digit number.

(i)

1000

(ii)

9999

(iii)

4444
Q-2 By adding 1 to the largest 4-digit number, we get the smallest ______ number.

(i)

4-digit

(ii)

5-digit

(iii)

6-digit
Q-3 Number _________ will be read as forty-five thousand three hundred twelve.

(i)

45312

(ii)

45321

(iii)

45231
Q-4 Ten thousands’ is written as ________ in short.

(i)

Th

(ii)

TTh

(iii)

none of these
Chapter-2   Addition and Subtraction
Q-1 Fill in the blanks:
(a) To make addition and subtraction easier, we use ________.
(b) A “Pattern” means “a definite _________ or order”.
(c) The study of patterns help students to observe __________ and find connections.
(d) Pattern helps students to make __________, generalisations and predictions.
Q-2 True or False:
(a) By adding 5431 and 431 we get 431.
(b) By adding 3456 and 3289, we get 6745.
(c) By subtracting, 251 from 2251, we get 2000.
(d) By subtracting 9876 from 10000, we get 100.
Q-3 One word answer:
(a) What is the sum of 22456 and 74321?
(b) What is the sum of 6543 and 9876?
(c) What do we get by adding difference and subtrahend?
(d) Can we subtract a bigger number from a smaller number?
Q-4

Add, estimate and check if your answer makes sense :
Q-5

Add the following :
(a) 22,456 and 74,321                       (b) 54,321 and 35,413 (c) 22,645 and 4,006                         (d) 55,104 and 10,312 (e) 19,527 and 39,349                       (f) 23,498 and 28,406
Q-6

Look at the picture. Solve the following :
(a) Mr. Arora bought a computer worth ` 22,000 and a printer worth ` 11,857. Find how much money did he spend in all ?
(b) Mr. Arora’s income in March, 2009 was ` 32,450. Next month he got ` 36,740 as his income. How much did he earn in these two months?
(c) They visited an art exhibition. On Saturday 14,227 people visited and on Sunday 21,456. How many people visited the exhibition on both the days together.
(d) The school library of Mr. Arora’s son had 46,808 books. In the coming year, 9,732 new books are going to be added. Find the number of the books after addition.
(e) The annual school fee of his daughter is ` 6,490. His son’s school fee is ` 2,005 more than that. How much total school fee does he pay for his son and his daughter?
Q-7

Subtract, estimate to check if your answer makes sense :
Q-8

Subtract the following :
(a) 2,903 and 1,799 (b) 5,807 and 2,378 (c) 5,932 and 2,874 (d) 43,758 and 35,194 (e) 8,004 and 3,261 (f) 60,008 and 23,986
Q-9

Subtract and check your answer:
Q-10

Solve the following using a shortcut method:
(a) 6,000 – 4,837 (b) 9,000 – 5,836 (c) 7,004 – 3,298 (d) 84,000 – 59,832 (e) 74,000 – 43,265 (f) 23,005 – 1,526
Q-11

Solve the following:
(a) In a forest, the number of animals are 98,849. The number of herbivores are 68,435. Find the number of carnivores?
(b) In a forest, the total number of tigers and panthers are 1039. If the number of tigers are 898 then find the number of panthers?
(c) In year 1999, the number of deer in the forest were 48,326. Whereas in the year 2009, the number reduced to 36,588 due to over-hunting. Find the reduced number of deer in these 10 years?
(d) There were 94,447 deodar trees in a forest. Due to illegal cutting the number of deodars were reduced to 86,498. How many deodar trees were cut by people illegally?
(e) The total number of monkeys in the forest are 12,788. Within a few months, more monkeys are going to be added by forest department. After addition, the number of monkeys will become 16,822. Find the number of monkeys going to be added.
(f) The population of elephants in the forest is 2,382, in which 1,046 are female elephants. Find the number of male elephants in the forest?
Q-12

Solve the following using compensation :
(a) 21 + 53 (b) 49 + 36 (c) 54 + 32 (d) 532 + 208 (e) 498 + 202 (f) 589 + 361 (g) 501 – 209 (h) 329 – 159 (i) 653 – 226 (j) 2,376 – 2,046 (k) 3,500 – 429 (l) 5,473 – 329
Q-13

Solve quickly :
(a) 3,241 + 99 = ___________                      (b) 123 + 99 + 98 = ___________ (c) 1,248 + 992 = ___________                    (d) 128 + 103 = ___________ (e) 45 + ______ = 135                                  (f) 30 + ________ = 128 (g) _____ + 68 = 148                                   (h) 43 + ________ = 263
Q-14

Find the total money due in each bill. What was the amount received as change in each case ?
Q-15

Make up the given amounts by using the least possible number of coins and notes:
Q-16

How can you make ` 128 using more of the higher value notes?
Q-17

Complete the following by calculating the total amount of money:
Q-18

Solve the following:
(a) Amrita had four 50-rupees notes and a two 100-rupees notes. She purchased a suit for ` 260. Calculate the money left with her after the purchase.
(b) Naman has lost ` 237.00 in the market. He is now left with ` 352.00. How much money did he initially have ?
(c) Pranay had ` 2085.00 in his bank account. He withdraw from his account ` 999.00. How much money is left in his account ?
(d) The cost of a video game set is ` 3429.50 and the cost of a television set is ` 5998.00. Find the total cost of the video game set and the television set.
(e) Arvind bought packets of bread for ` 186.50, butter for ` 639.25, eggs for ` 253.50 and a cake for ` 238.75. He gave one ` 500 note to the shopkeeper. How much money did he get back ?
Q-19

Find out a pattern and write next three numbers.
(a) 5, 10, 15, 20, ____, ____, ____
(b) 11, 22, 33, 44, ____, ____, ____
(c) 66, 60, 54, 48, ____, ____, ____
(d) 5, 9, 13, 17, ____, ____, ____
Q-20

Look at the pattern and complete the blanks :
Q-21

Fill in the blank with the correct number :
Q-22

Solve the following:
(a) What must be added to 1,231 to get 4,259?
(b) What must be subtracted from 15,294 to get 256 ?
(c) What must be added to 42,436 to get the largest 5 digit number?
(d) Find the number that is 7,749 less than 17,594.
(e) Find the number that is less than 7,296 by 1,260.
(f) How much smaller is 4,891 than 24,536 ?
(g) If the sum of 7,121 and 4,223 is subtracted from 27,890, what is the difference comes?
(h) What number should be subtracted from 33,221 to get 9,835?
Q-23

Solve the following:
1. You have ` 1500. You want to buy a T-shirt for ` 499. and jeans for ` 720 but you don’t want to buy trousers for ` 890. How much money will you have to spend ?
2. In a cinema hall 5,000 people can sit. One day there were 4,829 people of which 1,869 were women. How many were men.
3. An airline charges ` 1049 for an adult and ` 679 for a child from Delhi to Agra. For a family package they charge ` 2550. If Mr. Ashish bought ticket for himself and his 8 year old son and gave ` 3000 to the ticketer, how much money did he get back?
4. There were 59,200 people living in Rajnagar and 48,990 people in Ramesh Nagar. After the earthquake in Rajnagar only 11,480 people were there. Find out the number of missing people.
5. A milk dairy produced 60,000 pouches of milk and 5,000 pouches of ghee everyday. It supplies 55,298 milk pouches a day to various depots. How many pouches of milk are not sold ?
6. Mr. Kaushik has ` 50,000 and Mr. Malik has ` 60,000. Mr. Kaushik wants to buy a scooter for ` 31,059 and a Microwave oven for ` 17,299. How much money is left with Mr. Kaushik ?
7. Mr. Raj had ` 8,59,600 with him. He gave ` 85,320 to his wife, ` 15,120 to his son and rest to his daughter. How much money was received by his daughter?
Multiple Choice Questions
Q-1 When some numbers are added, then each of the numbers being added is known as an ________.

(i)

add

(ii)

addendum

(iii)

none of these
Q-2 The result obtained after addition is called the _______.

(i)

addendum

(ii)

sum

(iii)

none of these
Q-3 The larger number from which, we subtract the other number, is known as _________.

(i)

minuend

(ii)

subtrahend

(iii)

none of these
Q-4 The number which is subtracted is called _________.

(i)

minuend

(ii)

subtrahend

(iii)

none of these
Chapter-3   Multiplication
Q-1 Fill in the blanks:
(a) The Product of a number and zero is always __________.
(b) By multiplying 453 and 300, we get _______.
(c) By multiplying 1356 and 600, we get _______.
Q-2 True or False:
(a) The product of 463 and 20 is 9260.
(b) The product of 6321 and 30 is 184390.
(c) The product of 3672 and 2 is 7344.
Q-3 One word answer:
(a) What is the product of 67 and 12?
(b) What is the product of 68 and 74?
(c) What is the product of 802 and 27?
Q-4

Multiply the following by Expanded Notation Method :
(a) 243 × 5                 (b) 707 × 6                (c) 456 × 9                    (d) 243 ÷ 4 (e) 380 × 6                 (f) 2,353 × 8              (g) 1,948 × 7                 (h) 9,457 ÷ 3
Q-5

Find the product :
Q-6

Multiply using the Lattice Method :
(a) 289 × 12              (b) 549 × 29 (c) 732 × 36              (d) 910 ÷ 43
Q-7

Double the 4 times table to find these products :
(a) 5 × 8            (b) 7 × 8             (c) 8 × 8             (d) 9 × 8
Q-8

Double the 8 times table to find these products :
(a) 6 × 16             (b) 7 × 16 (c) 5 × 16             (d) 9 × 16
Q-9

Use multiplies of 10 to find these products :
(a) 7 × 19             (b) 5 × 29             (c) 6 × 39            (d) 8 × 49 (e) 8 × 39             (f) 4 × 69              (g) 7 × 49            (h) 6 × 59
Q-10

Round each factor with more than one digit to the nearest tens. Then estimate the product :
(a) 57 × 6                (b) 48 × 31              (c) 36 × 39 (d) 43 × 42              (e) 65 × 46              (f) 87 × 52
Q-11

Estimate the product by rounding the first factor up and the second factor down to the nearest tens :
(a) 45 × 62             (b) 69 × 77               (c) 88 × 17(d) 55 × 75             (e) 52 × 32                 (f) 91 × 24
Q-12

Estimate the product by rounding to the nearest hundreds :
(a) 881 × 323               (b) 603 × 177                 (c) 213 × 343 (d) 584 × 164               (e) 896 × 309                  (f) 736 × 494
Q-13

Estimate the product by rounding the first factor up and the second factor down to the nearest hundreds:
(a) 881 × 323              (b) 603 × 177                  (c) 213 × 343 (d) 584 × 164              (e) 896 × 309                  (f) 736 × 494
Q-14

Find the product using column method :
Q-15

Multiply the following by Expanded Notation Method :
(a) 2,164 × 3                (b) 7,288 × 5               (c) 5,724 × 7               (d) 55 × 5 (e) 52 × 8                     (f) 91 × 6                     (g) 45 × 2                    (h) 69 × 6
Q-16

Multiply and find
(a) 67 × 12              (b) 68 × 74             (c) 802 × 27                (d) 231 × 36(e) 464 × 43            (f) 807 × 53            (g) 750 × 61                (h) 766 × 27
Q-17

Fill in the blanks:
(a) 6 × 10 = ..................                             (b) 19 × 10 = .................. (c) 367 × 100= ..................                       (d) 23 × 100 = .................. (e) 993 × 1,000 = ..................                   (f) 93 × 10,000 = .................. (g) 726 × 10,000 = ..................                 (h) 7× 1,00,000 = ..................
Q-18

Multiply and find the product:
(a) 73 × 30              (b) 123 × 40              (c) 938 × 20                (d) 843 × 50 (e) 770 × 70            (f) 384 × 80               (g) 3846 × 60              (h) 2469 × 40
Q-19

Multiply the following:
Q-20

Multiply and find the product:
(a) 804 × 200                (b) 376 × 300                (c) 453 × 500                 (d) 268 × 700 (e) 317 × 600                (f) 1345 × 600               (g) 2048 × 400               (h) 9765 × 200 (i) 2094 × 800               (j) 1105 × 900
Q-21

Solve - 
1. A bag contains 84 kg of sugar. Find the quantity of sugar in 47 such bags.
2. Mr. Raj has 38 five hundred rupee notes. How much money does he have ?
3. A florist has 299 boxes. He packed 175 flowers in each. How many flowers did he pack in all ?
4. There are 52 cards in one pack of cards. How many cards are there in 525 packs ?
5. A bus carries 239 passengers in a day. How many passengers will it carry in a year.
6. In a factory township, there are 42 rows of houses each row containing 150 houses. Find the total number of houses in the township.
7. 862 trucks each carrying 696 kg of mangoes come into the city. How many kg of mangoes have come into the city?
8. A wholesaler buys 93 boxes of apples at ` 647 per box. How much money does he pay? He sells them at ` 730 per box. How much profit does he make ?
9. How many minutes are there in the month of March ?
10. A clerk in an office works 6 days in a week for all 52 weeks of the year. If he worked 5 hours a day, find the total number of hours he works in a year.
Q-22

Numericals - 
1. Akshita bought 3 pens each costing ` 32.50. How much change did she get back if she gave a ` 100 note to the shopkeeper?
2. A bundle of admission forms has 360 forms. If a school has 68 bundles of forms, How many forms are there?
3. On a certain flight the first class fare is ` 893 and the economy class fare is ` 542. How much money is paid to the airline if there are 109 passengers flying first class and 238 flying in the economy class?
4. The figures from the weather department show that over the last 4 years (take each year as 365 days), Delhi had 483 rainy days. How many clear days did Delhi have over 4 years ?
5. Mr. Ramesh gets ` 9782 as monthly salary. Calculate his yearly income.
Multiple Choice Questions
Q-1 The numbers which are being multiplied are called ________.

(i)

factors

(ii)

multiples

(iii)

none of these
Q-2 The answer obtained after multiplying them is called _________.

(i)

product

(ii)

factors

(iii)

none of these
Q-3 The number to be multiplied is called _________.

(i)

multiplicand

(ii)

multiplier

(iii)

factor
Q-4 Multiplication by Expanded Notation Method is also called ______ Method.

(i)

column

(ii)

raw

(iii)

row
Chapter-4   Division
Q-1 Fill in the blanks:
(a) When the dividend and divisor are equal, then the quotient is ______.
(b) When the divisor is 1, the quotient is equal to the _______.
(c) Division of zero by a number (other than zero) is _______.
Q-2 True or False:
(a) Any number divided by 10 gives the ones digit.
(b) It is useful to first estimate the quotient when you divide by a 2-digit number.
(c) Division of any number by 0 is possible.
Q-3 One word answer:
(a) How many fundamental operations are there in Mathematics?
(b) What is the rule for the preference of fundamental operations called?
(c) In DMAS, D stands for what?
Q-4

Divide the following and check your answers :
(a) 3245 ÷ 4 (b) 4214 ÷ 6 (c) 5208 ÷ 6 (d) 9719 ÷ 9 (e) 2148 ÷ 2 (f) 6738 ÷ 8 (g) 7103 ÷ 3 (h) 8308 ÷ 6 (i) 3938 ÷ 5 (j) 5839 ÷ 7 (k) 4821 ÷ 9 (l) 1062 ÷ 2
Q-5

Use the quotient of first to find the quotient of second.
Q-6

Divide the following :
(a) 330 ÷ 10 (b) 70 ÷ 10 (c) 80 ÷ 20 (d) 90 ÷ 30 (e) 420 ÷ 20 (f) 990 ÷ 90 (g) 480 ÷ 40 (h) 640 ÷ 80 (i) 650 ÷ 50 (j) 630 ÷ 70 (k) 720 ÷ 60 (l) 240 ÷ 40
Q-7

Fill in the blanks :
Q-8

Estimate the quotient of the following :
Q-9

Find the quotient and remainder of the following :
Q-10

Divide using method 2:
Q-11

Divide the following :
Q-12

Divide using method 2:
(a) If 3 chocolates cost ` 49.50. How much does 1 chocolate cost ?
(b) If 9 sketch colour boxes cost ` 305.50. What is the cost of 1 sketch colour box?
(c) If 7 dozen pencils cost ` 149.25. What does 1 dozen cost ?
(d) If 4 comic books cost ` 132.50. What does 1 comic book cost?
Q-13

Estimate the quotient of the following :
Q-14

Study the following patterns and complete the blanks :
Q-15

Numericals - 
1. A company bought 4 chairs for ` 3328. What is the cost of one chair?
2. A packet can contain 45 sweets. How many such packets are needed to pack 1000 sweets? How many sweets are left over.
3. 4000 bags of cement were equally loaded on 9 trucks. How many bags were loaded on each truck ? How many bags were left over ?
4. 8928 note-books are equally distributed among 48 students. How many note-books does each student get? 
5. Cost of 30 radios is ` 7500. Find the cost of 1 ratio.
6. Smriti and 3 of her friends bought a video game for ` 294. What was each of her friend's share ?
7. ` 420 was to be spent on CDs. If 7 CDs were bought, what was the cost of each CD?
8. The product of two numbers is 372. One number is 31. Find the other.
9. 9 chair are kept in a row. If there are 1004 chairs, how many rows will be made? How many chairs will be left over?
10. In an examination, 1620 children were to be seated in 80 rooms. How many children were there in each room? How many children were left over?
11. 966 children of a school went on a picnic. They were taken in buses each of which could hold 25 children. How many buses were needed ?
12. 10 friends together purchase a cricket kit for ` 9990. How much money did each friend contribute ?
Multiple Choice Questions
Q-1 The number which is to be divided is called the ________.

(i)

dividend

(ii)

divisor

(iii)

quotient
Q-2 The number which divides the dividend is called the _________.

(i)

dividend

(ii)

divisor

(iii)

quotient
Q-3 The outcome or answer of division is called the ___________.

(i)

dividend

(ii)

divisor

(iii)

quotient
Q-4 The part of dividend, which is left undivided is called the _________.

(i)

divisor

(ii)

quotient

(iii)

remainder
Chapter-5   Factors and Multiples
Q-1 Fill in the blanks:
(a) Every number is a factor of ______.
(b) Every ___________ number is a factor of itself.
(c) Every natural number is a factor of __________.
(d) _______ is the smallest factor of every number.
Q-2 True or False:
(a) The factors of 28 are 1, 2, 4, 7,14 and 28.
(b) A number can be exactly divided by all its factors.
(c) A number can have a factor greater than itself.
Q-3 One word answer:
(a) What are the numbers which have only two factors 1 and the number itself called?
(b) Which is the smallest factor of 12?
Q-4

Solve - 
1. 48 boxes of Rasgullas have to be kept in equal piles. What are the piles of equal number of boxes that can be made?
2. The sport teacher is making his class of 42 children stand in rows. What are the different number of rows he can make, such that each row has the same number of children ?
3. A library attendant has to keep 38 books in equal piles. What are the different piles of equal number of books that he can make?
4. 24 students are planning to put up a dance show on Teachers’ Day. How many different kinds of equal sized groups can they form for the performance?
5. 54 buckets have to be kept in equal groups. What are the groups of equal number of buckets that can be made ?
Q-5

Fill in the blanks :
(a) 4, 8, ___, 16, ____, 24, ____
(b) 5, 10, ____, ____, 25
(c) 9, 18, ___, ____, 45, ____, ____
(d) 7,14,____,____,35,____
(e) 12, 24, ___, ____, 60, ____, ____
(f) 6, 12, ____, ____, 30, ____
Q-6

Find the factors of the following numbers using multiplication :
(a) 15                       (b) 20                        (c) 24                              (d) 36                                     (e) 41 (f) 55                        (g) 81                        (h) 33                              (i) 96                                      (k) 100
Q-7

Find the factors of the following numbers using division :
(a) 16                           (b) 23                             (c) 39                          (d) 45                    (e) 54 (f) 66                            (g) 72                             (h) 49                          (i) 84                      (j) 98
Q-8

Find out the products of the following pairs of numbers and find factors of the products obtained.
(a) 8, 12                          (b) 11,4                            (c) 12, 13                         (d) 14, 11
Q-9

State whether the following statements are ‘True’ or ‘False’ :
(a) 7 is a factor of 105.
(b) 0 is a factor of 236.
(c) 1 is a factor of every number.
(d) 539 is a factor of 0.
(d) 539 is a factor of 0.
(f) 13 is a factor of 99.
Q-10

Make a factor tree for each of the following numbers:
(a) 24              (b) 15                  (c) 48                (d) 63              (e) 81 (f) 96               (g) 124               (h) 144
Q-11

Find the common factors for each of the following :
Q-12

Write the next three multiples :
(a) 3, 6, 9, ——, ——, ——
(b) 10, 20, 30, ——, ——,——
(c) 16, 32, 48, ——, ——, ——
(d) 15, 30, 45, ——, ——, ——
(e) 9, 18, 27, ——, ——, ——
(f) 50, 100, 150, ——, ——, ——
Q-13

Write the first five multiples of the following:
(a) 11                   (b) 14                    (c) 16                (d) 9                (e) 7 (f) 15                    (g) 18                    (h) 20
Q-14

Put a tick (✓) in the blank if the first number is a multiple of the second :
Q-15

Say whether the following are ‘True’ or ‘False’ :
(a) 3, 6, 9, 12, 18 are all multiples of 6.
(b) 9, 18, 27, 36,45 are all multiples of 9.
(c) 1 is not a multiple of every number.
(d) 6 is multiple of 25.
(e) Since 5 × 3 = 15, 15 is a multiple of both 5 and 3.
Q-16

Write the first 10 multiples of 4 in the gray circle and the first 10 multiples of 6 in the pink circle. Rewrite the common multiples of 4 and 6 in the brown part. (Clue : To get first 10 multiples of 4, multiply 4 by 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 respectively. Similarly find first 10 multiples of 16).
Q-17

Shade the boxes pink that contain common multiple of 3 and 5.
Q-18

List the common multiples of the following using the number line.
Q-19

Find the first three common multiples of :
(a) 4,5           (b) 2,6            (c) 6,3             (d) 4,8               (e) 3,7 (f) 5,6           (g) 4,6            (h) 6,8
Q-20

Fill up the blanks :
Multiple Choice Questions
Q-1 _______ is the smallest factor of 12.

(i)

1

(ii)

2

(iii)

3
Q-2 ________ is the greatest factor of 12.

(i)

11

(ii)

12

(iii)

both of these
Q-3 ______ of a product divide it exactly

(i)

Factors

(ii)

Multiples

(iii)

none of these
Q-4 Every factor of 12 is less than or equal to _________.

(i)

10

(ii)

11

(iii)

12
Chapter-6   Fractions
Q-1 Fill in the blanks:
(a) ________ is the same as one-fourth.
(b) The three-fourths is the same as ________.
(c) A fraction can be represented in _______ ways.
Q-2 True or False:
(a) Equivalent fractions are those fractions which have the different value.
(b) Like fractions are those fractions which have the same denominators.
(c) 2/4 and 3/4 are like fractions.
Q-3 One word answer:
(a) 3/2 and 1/2 are which kind of fractions?
(b) 2/4 and 3/8 are which kind of fractions?
(c) What is a proper fraction with numerator 1 called?
Q-4

Fill in the blanks :
(a) There are _____________ quarters in one-half.
(b) There are _____________ quarters in a whole
(c) There are _____________ quarters in three-fourths.
(d) There are _____________ halves in a whole.
Q-5

Answer the following questions using your understanding of fractions :
(a) Which is more expensive, onions or cauliflowers?
(b) How much does 1 /2 kg of cauliflower cost ?
(c) How much does 1 kg of onions cost?
(d) How much does 3 /4 kg of cauliflower cost ?
(e) How much does 1 kg of cauliflower cost?
(f) How much would you pay for 1 /4 kg of onions ?
(g) How much would you pay for 3 /4 kg of onions ?
Q-6

What fraction of these shapes are pink ? (Estimate the fraction)
Q-7

Colour the following according to their given fractions. How are all the parts related to each other?
Q-8

Fill in the blanks :
Q-9

Observe the coloured objects and the groupings and fill in the blanks :
Q-10

Fill in the missing number :
Q-11

Which of the following fractions are like and which are unlike :
Q-12

Colour to compare. Put ‘<’ or ‘>’ :
Q-13

Write the correct sign ’>’ or ‘<’ in each circle :
Q-14

Arrange the following in ascending order :
Q-15

Arrange the following in descending order :
Q-16

Fill in the blanks by looking at the figures. One has been done for you.
Q-17

Look at the figures and fill in the blanks :
Q-18

Add the following fractions :
Q-19

Find the difference. The first one has been done for you :
Q-20

Subtract the following fractions :
Q-21

Answer the following using mixed numbers :
(a) How many apple ?
(b) How many cakes ?
(c) How many chocolates ?
(d) How many Sandwiches ?
Q-22

Convert these improper fractions into mixed fractions :
Q-23

Change these mixed fractions into improper fractions :
Q-24

Find the fraction in each of the following :
Q-25

Find the fraction in each of the following :
Q-26

Solve the following :
(a) A cinema hall has 500 seats. 3/ 5 of the seats are empty. How many seats are empty ?
(b) In a group of 49 students who went for a picnic, 3 /7 were girls. How many were girl students ?
(c) During the class election, Prem got 2 /6 of the 36 votes polled. How many votes did he get ?
(d) Simran had 54 toffees. She distributed 4 /9 toffees to her friends. How many toffees did she distribute ?
(e) Class IV-A has 42 students. 5 /6 of them take part in the annual function. How many students participated in the function ?
Q-27

Numericals -
1. An ant covers 1* 3/ 4 m in first hour and 2 *1/ 4 m in the second hour. Find the total distance covered by the ant in two hours.
2. Nidhi drank 4 /5 of a glass of juice in the morning and 3/ 5 glass of juice in the evening. How much more did she drink in the morning ?
3. Neelam has two pieces of ribbon measuring 2* 1/ 2 m and 5 *1/ 2 m. Find the total length of the two pieces.
4. Meenakshi and Manjula bought a cake. Meenakshi ate 1/ 4 of the cake and Manjula ate 2 /4 of the same cake. What fraction of the cake did they eat altogether ?
5. From a 6 metres long rope, two piece of length 1 *7/ 5 metres and 2 *11 /15 metres were cut off. What is the length of remaining rope.of the two pieces.
Multiple Choice Questions
Q-1 In 2/5, 5 is the ________.

(i)

numerator

(ii)

denominator

(iii)

none of these
Q-2 In 2/5, 2 is the _______.

(i)

numerator

(ii)

product

(iii)

denominator
Q-3 Fraction means ‘part of a _______’.

(i)

whole

(ii)

quarter

(iii)

half
Q-4 2/5 is a ______.

(i)

decimal

(ii)

fraction

(iii)

none of these
Chapter-7   Shapes, Pattern and Symmetry
Q-1 Fill in the blanks:
(a) __________ are closed shapes which are formed only with straight lines.
(b) A __________ is a special quadrilateral in which opposite sides are equal.
(c) A _________ is a special quadrilateral in which all four sides are equal.
Q-2 True or False:
(a) Coin is in circular shape.
(b) Ring is in triangular shape.
(c) Wheel is in rectangle shape.
Q-3 One word answer:
(a) What is the plural of radius called?
(b) Which is the longest chord of the circle?
(c) What is the radius of a circle with diameter 6cm?
Q-4

Which of the following are simple closed curves ?
Q-5

Which of the following shapes are polygons ?
Q-6

Write down the names of following polygons.
Q-7

Put a tick mark [✓] for true statement and a cross [X] for the false statement.
(a) All triangles are polygons.
(b) A rectangle is a quadrilateral.
(c) All quadrilaterals are squares.
(d) A polygon is a closed curve.
Q-8

Look at the following circles:

Now, complete the table :
Q-9

Find the radii of the circles with the following diameters :
(a) 12 cm (b) 20 cm (c) 34 cm (d) 56 cm (e) 8 cm (f) 46 cm (g) 70 cm (h) 26 cm
Q-10

Find the diameter of the circles with the following radii:
(a) 3 cm (b) 10 cm (c) 13 cm (d) 25 cm (e) 5 cm (f) 15 cm (g) 19 cm (h) 7 cm
Q-11

Draw the circles with the following radii:
(a) 2 cm (b) 3 cm (c) 1 cm (d) 4 cm
Q-12

Draw the circles with the following diameters:
(a) 2 cm (b) 3 cm (c) 1 cm (d) 4 cm
Q-13

Fill in the blanks:
(a) The radius is ___________ of the diameter.
(b) The distance between the centre and any point on the circle is called___________.
(c) The diameter of the circle is ___________ of its radius.
(d) The length of a circle is called its ___________.
(e) A circle is a ___________ figure.
(f) The point where two or more diameter meet is called ___________.
(g) The diameter goes through the ___________ of the circle.
(h) Plural of radius is ___________.
Q-14

Observe and identify the following objects as symmetrical or non symmetrical:
Q-15

Draw the lines of symmetry for the following figures :
Q-16

Questions -
1. Write down the English alphabets and numerals which are symmetrical. Also draw the lines of symmetry through them.
2. Draw a square and find its lines of symmetry.
3. Draw 5 figures of your own choice which have only one line of symmetry.
Q-17

Observe and identify the following objects as symmetrical or non-symmetrical:
Q-18

Put a (✓) in the box if figures are reflections of each other. Put a (X) if they are not.
Q-19

Write down the capital letters of English alphabet that look the same when reflected in the mirror. One is given for you.
Multiple Choice Questions
Q-1 Closed shapes are also called closed ___________.

(i)

curves

(ii)

circles

(iii)

lines
Q-2 Closed shape that does not _______ itself is called a simple closed curve.

(i)

cut

(ii)

cross

(iii)

none of these
Q-3 The __________ and the quadrilateral are the two kinds of polygon.

(i)

square

(ii)

triangle

(iii)

none of these
Chapter-8   Measurement
Q-1 Fill in the blanks:
(a) Length of a needle is measured in _______.
(b) Distance between two states is measured in __________.
(c) Height of a pole is measured in ________.
Q-2 True or False:
(a) The unit used to measure smaller lengths is centimetre.
(b) The standard unit for measuring length is metre (m).
(c) The unit cm is 10 times lower than a metre.
Q-3 One word answer:
(a) How many centimetres are there in 1 metre?
(b) How many metres are there in 1 km?
(c) How many millilitres are there in 1 centilitre?
Q-4

Measure the length of following to the nearest cm or 1/ 2 cm :
Q-5

Draw the line segments of the following lengths by using the ruler:
Q-6

Draw the line segments of following lengths by using your notebook and then measure the lengths with the help of a ruler to check whether you are right or wrong:
Q-7

Express cm into m :
Q-8

Express m into cm :
Q-9

Convert into km :
Q-10

Convert into m:
Q-11

Express the following measures in litres :
Q-12

Express the given measures in millilitres :
Q-13

Solve - 
1. One bottle can hold 300 mL juice. How many mL of juice will be there in 7 such bottles?
2. A jug which Rohan has can fill 3 *1/ 2 L of water. How many glasses of capacity with 1/ 2 L can be filled in the Jug?
3. Five vessels each containing 400 mL of water are poured into a bottle. What is the capacity of the bottle and also express this capacity in L.
4. Ten cups of tea each holding 150 mL are poured into a vessel. How much tea is there in the vessel now ?
Q-14

Express the following in kg :
(a) 2400 g = _______ kg _______ g
(b) 3200 g = _______ kg _______ g
(c) 9570 g = _______ kg _______ g
(d) 3500 g = _______ kg _______ g
(e) 1200 g = _______ kg _______ g
(f) 2610 g = _______ kg _______ g
Q-15

Express the following in g :
Q-16

Practical Applications:
(a) Savita has a packet of almonds that weighs 2 kg. She wants to put them into smaller packets of 200 g each. How many packets will she need ?
(b) Deepak has a packet of butter that weighs 200 g. How many such packets would he need to make 5 kg ?
(c) Mohan is carrying 10 kg tomatoes, 2 kg onions, 500 g peas and 100 g ginger. What is the total weight is he carrying?
(d) Mrs. Sharma bought 10 kg mangoes from a shop and 500 g almonds from another shop. What is the total weight she has ?
Q-17

What is the cost of 1 kg of each of following vegetables ?
Multiple Choice Questions
Q-1 The unit used to measure smaller lengths is the ________.

(i)

centimetres

(ii)

metres

(iii)

none of these
Q-2 The symbol for centimetre is ‘_______’.

(i)

cm

(ii)

m

(iii)

none of these
Q-3 The unit used to measure longer lengths is the ________.

(i)

metre

(ii)

centimetre

(iii)

none of these
Q-4 The unit used to measure still greater length, is the ______.

(i)

kilometre

(ii)

metre

(iii)

none of these
Chapter-9   Perimeter and Area
Q-1 Fill in the blanks:
(a) There are ______mm in 1 centimetre.
(b) There are ______ mm^2 in 1 sq. cm.
(c) There are _______ cm^2 in 1 sq m.
Q-2 True or False:
(a) There are 1000mm in 1cm.
(b) Perimeter of a square= 4Xsides
(c) The distance around a figure is called its perimeter.
Q-3 One word answer:
(a) How many sides are there in a triangle?
(b) What is the measure of how much surface a thing has called?
(c) What can be expressed in sq. cm?
Q-4

Find the perimeter of the following figures :
Q-5

Find the perimeter of these shapes. Take each square to have sides of 1 cm :
Q-6

Find the missing lengths in these shapes :
Q-7

Find the area of these designs :
Q-8

Find the area and perimeter of these picture. Take each square to be of side 1 cm and give your answer in square centimetres.
Q-9

Find the area of these designs :
Q-10

Find the area of these designs :
Q-11

Find the area of these designs :
Q-12

Solve -
1. A square-shaped bed of flower has to be fenced. If a side of the bed is 90 m long. What will be the length of the fence?
2. Mr. Das was planning a new library. The room was 25 m long and 15 m broad. Find the perimeter of the room.
3. Chandan have a swimming pool that measures 22 m long and 16 m wide. They want to place a fence around the pool and leave 10 m between the fence and the pool for a deck area. How much fencing will be needed ?
4. The playing field in front of a school was 28 m long and 15 m broad. Find the perimeter of the field.
5. How much fencing will be needed for this triangular garden ?
Multiple Choice Questions
Q-1 The ________ of a shape is the sum of all its sides.

(i)

perimeter

(ii)

area

(iii)

none of these
Q-2 The perimeter of a polygon can be determined by adding the _____ of all its sides.

(i)

weight

(ii)

length

(iii)

none of these
Q-3 ______ is the measure of surface.

(i)

Perimeter

(ii)

Area

(iii)

none of these
Q-4 ________ is expressed in sq. mm.

(i)

Perimeter

(ii)

Area

(iii)

none of these
Chapter-10   Time
Q-1 Fill in the blanks:
(a) A ________ shows days and dates for each month of a year.
(b) Longer hand is known as ‘_______ hand’.
(c) Shorter hand is known as _______ hand.
Q-2 True or False:
(a) Clockwise is the direction in which hands of a clock move.
(b) Anti-clockwise is opposite to the clockwise.
(c) When you close a tap you go clockwise direction.
Q-3 One word answer:
(a) What is the period from one mid-night to next mid-night called?
(b) How many rounds does the hour hand completes on the dial of a clock in a day?
(c) How many hours does a clock take to complete a day?
Q-4

How many minutes is it past the hour ?
Q-5

Read out the time in exact minutes :
Q-6

Draw the hands to show the time :
Q-7

Complete these sentences :
(a) This clock shows __________ minutes after __________.
(b) This clock shows __________ minutes before __________.
(c) This clock shows __________ minutes after __________.
(d) This clock shows __________ minutes before __________.
Q-8

Write the following using a.m. or p.m. :
(a) 11 O' clock at night
(b) 1:45 in the afternoon
(c) 5:35' in the evening
(d) 3:15 in the morning
Q-9

Give the time using a.m. and p.m.
Q-10

Write a.m. or p.m. to make these sentences correct.
(a) The sun rises at 6:15 _____________ today.
(b) Vandana takes breakfast at 8:45_____________
(c) Priya goes to bed at 10:00 _____________
(d) Projesh cleans his teeth at 6:40_____________
(e) Mr. Malhotra is back from his office at 7:00_____________
Q-11

What time will it be?
(a) 50 minutes after 11:10 a.m.
(b) 30 minutes before 12 mid-night
(c) 2 hours 30 minutes after 12:30 a.m.
(d) 3 hours 15 minutes after 8 a.m.
(e) 3 hours after 6:30 p.m.
(f) 45 minutes after 11:20 p.m.
Q-12

How many days are there between :
(a) January 16 to February 9 (include February 9).
(b) January 19 to April17 (do not include January 19).
(c) March 8 to May 3 (include both dates).
Q-13

Practical Applications:
(a) Anita begins her leaves on May 15. The last day of her leave is June 14. How long is the leave ?
(b) A girl fell sick on March 11, 2009. She recovered from illness on April15, 2009. For how many days did she remain sick.
(c) The annual examination in a school started on March 2 and ended on March 28. How long did the examination continue ?
(d) Anjay joined a computer course that started on February 5 and got over on May 10. How long was the course ?
(e) Suruchi joined painting classes that started on May 5 and got over on June 25. How long were the classes ?
Multiple Choice Questions
Q-1 In a week, there are _____ days.

(i)

7

(ii)

8

(iii)

9
Q-2 A ________ shows days and dates for each month of a year.

(i)

date

(ii)

month

(iii)

calendar
Q-3 The clock has _______ hands.

(i)

two

(ii)

three

(iii)

four
Q-4 Longer hand of a clock is called ________ hand.

(i)

hour

(ii)

minute

(iii)

clock
Chapter-11   Data Handling
Q-1

Make a column graph based on the following data of the number of different fruits in a fruit basket.
Q-2

This graph shows the number of children having marbles.
(a) Who has the fewest marbles? How many are they?
(b) How many marbles are there in all?
(c) Who has the most marbles? How many are they?
(d) Who has twice the number of marbles as Sonu has and how many are they?
(e) Who has twice the number of marbles as Shakti has and how many are they?
Q-3

Given below is a column graph showing the number of animals found in a Zoo. Answer the following questions:
(a) Which animal is largest in number?
(b) How many more monkeys are there than tigers?
(c) How many more tigers are there than Rhinoceros?
(d) How many giraffes are there in the zoo?
(e) How many elephants are there in the zoo?
(f) How many less lions are there than giraffes?
Q-4

Study the bar graph given on the next page and answer the following questions :
(a) In which year was the consumption of Pepsi minimum? How much was it?
(b) In which years was the consumption equal and how much was it?
(c) By how much did the consumption increase in 2004-2005?
(d) By how much did the consumption decrease during 2005-2008?
(e) How many bottles have been drunk in all?
Q-5

The adjoining pie chart shows how Sushma spends her pocket money. Look at the pie chart and mark True ‘T’ or False ‘F’.
(a) Sushma spent the largest part of her pocket money in school canteen.
(b) Sushma spent the minimum part of her pocket money in toys and game.
(c) She spent half of her money in canteen and stationary all together?
(d) She spent one-fourth of her money in books and stationary
(e) She spent one-third of her money in toys and games.
Q-6

The adjoining pie chart shows the weather in Mumbai during the month of June. Fill in the blanks choosing from one-fourth or three-fourth.
(a) ______________ of the days were sunny days.
(b) ______________ of the days were rainy days. 
If the circle chart shows February month.
(a) ______________ days were rainy.
(b) ______________ days were sunny.