📘 Class 6 Maths – Chapter 2: Whole Numbers (Model Test Paper)

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Olympiad Level Question Paper

Time: 90 minutes
Maximum Marks: 100

Section A – Objective (1 mark each)

(20 Questions)

  1. Which of the following is the smallest whole number?
    a) 1
    b) 0
    c) –1
    d) 10
  2. The successor of 9999 is:
    a) 9998
    b) 10000
    c) 9990
    d) 10001
  3. Which number when added to 8765 gives 10000?
  4. The predecessor of 1 is:
    a) 0
    b) –1
    c) 2
    d) Not defined
  5. Which property is shown: 5 + 7 = 7 + 5?
  6. Find the missing number:
    4567 + ___ = 4567
  7. Which of the following is NOT a whole number?
    a) 0
    b) 12
    c) –3
    d) 100
  8. Find: 0 × 98765 = ?
  9. The additive identity of whole numbers is:
  10. The product of any whole number and 1 is always:
  11. Find the missing number:
    (8 × 7) × 5 = 8 × (7 × ___)
  12. Which property: a × (b + c) = a × b + a × c
  13. 1000 ÷ 10 = ?
  14. The successor of a number is always:
    a) smaller
    b) greater
    c) equal
    d) none
  15. 1 is the ______ identity for multiplication.
  16. 0 is the ______ identity for addition.
  17. Find: 345 × 0 = ?
  18. Which is the largest?
    a) 999
    b) 1001
    c) 1000
    d) 998
  19. The number of whole numbers between 5 and 10 is:
  20. Which statement is correct?
    a) Whole numbers include negative numbers
    b) Whole numbers start from 1
    c) Whole numbers include 0
    d) Whole numbers are fractions

Section B – Short Answer (2 marks each)

(15 Questions)

  1. Find the successor and predecessor of 89000.
  2. Write all whole numbers between 45 and 52.
  3. Solve: 456 × 23
  4. Verify commutative property of addition using 34 and 56.
  5. Find: 9876 – 5432
  6. Fill in the blank:
    a × 0 = ___
  7. Find: (25 × 4) × 2
  8. Simplify: 1000 + 999 + 1
  9. Find the missing number:
    345 + ___ = 1000
  10. Is division closed under whole numbers? Explain.
  11. Write the identity elements of addition and multiplication.
  12. Find: 120 × 10
  13. What is the place value of 7 in 50789?
  14. Arrange in ascending order:
    1001, 1010, 1100, 1000
  15. Find: 10000 – 9999

Section C – Long Answer (4 marks each)

(10 Questions)

  1. Using number line, show addition of 5 + 3 and explain.
  2. Verify distributive property:
    7 × (8 + 2) = (7 × 8) + (7 × 2)
  3. Find the product using suitable property:
    25 × 16
  4. A factory produces 1250 items daily. How many items are produced in 24 days?
  5. Find the missing number:
    (45 × ___) = (45 × 10) + (45 × 5)
  6. Explain why 0 has no predecessor in whole numbers.
  7. Find: 987 × 101 (use property)
  8. A number when multiplied by 0 gives 0. Explain why.
  9. Find:
    999 + 999 + 999
  10. Show that multiplication is associative for 3, 4, 5.

Section D – Case Study / HOTS (6 marks each)

(5 Questions)

46. School Library Case

A school library has 1200 books. Each month, 150 new books are added.

a) How many books after 6 months?
b) If 200 books are removed, how many remain?
c) Write an expression for total books after n months.

47. Factory Production Case

A factory packs 48 boxes daily. Each box has 125 items.

a) Total items packed daily
b) Items packed in 10 days
c) Use distributive property to verify

48. Number Pattern Case

Observe pattern:
2, 4, 8, 16, 32, …

a) Write next two numbers
b) Find rule
c) Find 8th term

49. Shopping Case

A shopkeeper sells 25 notebooks per bundle. A school buys 48 bundles.

a) Total notebooks
b) If 200 notebooks are damaged, remaining?
c) Use suitable property to calculate quickly

50. Zero Concept Case

A student claims: “0 behaves differently in addition and multiplication.”

a) Explain using examples
b) Why is 0 called additive identity?
c) Why is multiplication by 0 always 0?

✅ANSWER KEY

Section A – Objective

  1. 0
  2. 10000
  3. 10000 – 8765 = 1235
  4. 0
  5. Commutative Property of Addition
  6. 4567 + 0 = 4567 → 0
  7. –3 (not a whole number)
  8. 0 × 98765 = 0
  9. 0 (Additive Identity)
  10. The number itself
  11. (8 × 7) × 5 = 8 × (7 × 5) → 5
  12. Distributive Property
  13. 1000 ÷ 10 = 100
  14. Greater
  15. Multiplicative Identity (1)
  16. Additive Identity (0)
  17. 345 × 0 = 0
  18. 1001
  19. Numbers: 6, 7, 8, 9 → 4 numbers
  20. Whole numbers include 0

Section B – Short Answer

Successor = 89000 + 1 = 89001
Predecessor = 89000 – 1 = 88999

  1. Whole numbers between 45 and 52:
    46, 47, 48, 49, 50, 51

456 × 23
= 456 × (20 + 3)
= (456 × 20) + (456 × 3)
= 9120 + 1368
= 10488

34 + 56 = 90
56 + 34 = 90
LHS = RHS → Verified

9876 – 5432 = 4444

a × 0 = 0

(25 × 4) × 2 = 100 × 2 = 200

1000 + 999 + 1 = 2000

345 + ___ = 1000
___ = 1000 – 345 = 655

Division is NOT closed in whole numbers
Example: 5 ÷ 2 = 2.5 (not a whole number)

Addition identity = 0
Multiplication identity = 1

120 × 10 = 1200

Place value of 7 in 50789 = 7 × 100 = 700

  1. Ascending order:
    1000, 1001, 1010, 1100

10000 – 9999 = 1

Section C – Long Answer

On number line:
Start at 5 → move 3 steps right → reach 8
So, 5 + 3 = 8

LHS = 7 × (8 + 2) = 7 × 10 = 70
RHS = (7 × 8) + (7 × 2) = 56 + 14 = 70
LHS = RHS → Verified

25 × 16
= 25 × (8 × 2)
= (25 × 8) × 2
= 200 × 2
= 400

Items per day = 1250
Days = 24
Total = 1250 × 24
= 1250 × (20 + 4)
= 25000 + 5000
= 30000

(45 × ___) = (45 × 10) + (45 × 5)
= 45 × (10 + 5)
= 45 × 15
So missing number = 15

0 has no predecessor because whole numbers start from 0
There is no whole number before 0

987 × 101
= 987 × (100 + 1)
= 98700 + 987
= 99687

Any number × 0 = 0
Because adding zero groups gives zero total
Example: 5 × 0 = 0

999 + 999 + 999 = 3 × 999 = 2997

(3 × 4) × 5 = 12 × 5 = 60
3 × (4 × 5) = 3 × 20 = 60
LHS = RHS → Associative property verified

Section D – Case Study / HOTS

46. Library Case

a) Books after 6 months
= 1200 + (150 × 6)
= 1200 + 900
= 2100

b) After removing 200
= 2100 – 200 = 1900

c) Expression = 1200 + 150n

47. Factory Case

a) Daily items
= 48 × 125
= (50 × 125) – (2 × 125)
= 6250 – 250
= 6000

b) 10 days = 6000 × 10 = 60000

c) Distributive check:
48 × 125 = (40 + 8) × 125
= 5000 + 1000 = 6000 ✔

48. Pattern Case

a) Next numbers:
32 × 2 = 64
64 × 2 = 128

b) Rule = multiply by 2

c) 8th term:
2, 4, 8, 16, 32, 64, 128, 256

49. Shopping Case

a) Total notebooks
= 25 × 48
= (25 × 50) – (25 × 2)
= 1250 – 50
= 1200

b) Remaining = 1200 – 200 = 1000

c) Property used: Distributive Property

50. Zero Concept

a)
Addition: 5 + 0 = 5
Multiplication: 5 × 0 = 0

b)
0 is additive identity because it does not change the number

c)
Multiplying by 0 gives 0 because there are zero groups

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