📘 Class-6 Chapter 2 Whole Numbers Full Chapter Test (Worksheet)

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ime: 2 Hours
Maximum Marks: 80

🧾 General Instructions:

  • All questions are compulsory
  • Show proper steps wherever required
  • Diagrams (number line) must be neat

🔢 Section A – MCQs (1 × 10 = 10 marks)

  1. The smallest whole number is:
    a) 1 b) 0 c) -1 d) 10
  2. The successor of 999 is:
    a) 998 b) 1000 c) 1001 d) 9999
  3. The predecessor of 1 is:
    a) 0 b) -1 c) 1 d) Not possible
  4. Which of the following is NOT a whole number?
    a) 0 b) 5 c) -2 d) 10
  5. 5 + 3 = 3 + 5 shows:
    a) Closure b) Commutative c) Associative d) Identity
  6. 7 × (2 + 3) = (7×2) + (7×3) shows:
    a) Identity b) Closure c) Distributive d) Associative
  7. Whole numbers are closed under:
    a) Addition b) Subtraction c) Division d) All
  8. 0 is the ______ identity:
    a) Multiplicative b) Additive c) Both d) None
  9. 1 is the ______ identity:
    a) Additive b) Multiplicative c) Both d) None
  10. The number line increases towards:
    a) Left b) Right c) Both d) None

✍️ Section B – Short Answer (2 × 10 = 20 marks)

  1. Write the successor of 45,678
  2. Write the predecessor of 10,000
  3. Write all whole numbers between 20 and 25
  4. Find: 99 × 6 (using property)
  5. Check if subtraction is closed for whole numbers
  6. Identify the property: (3 + 5) + 2 = 3 + (5 + 2)
  7. Find: 25 × (10 + 4)
  8. Write next three numbers after 9,999
  9. Why does 0 have no predecessor?
  10. Write the rule: 2, 4, 8, 16, ___

🧠 Section C – Long Answer (4 × 10 = 40 marks)

a) Explain commutative property with example
b) Is division commutative? Give reason

a) Solve using distributive property:
8 × (15 + 5)
b) Explain why this method is useful

a) Represent 6 + 4 on number line
b) Represent 10 − 7 on number line

a) Find pattern and next number:
1, 3, 6, 10, ___
b) Explain the pattern

a) Find: 999 × 5 using shortcut
b) Explain the trick used

🧩 Section D – Case-Based / Story-Based (5 × 2 = 10 marks)

📦 Case Study 1: Warehouse Storage

A warehouse stores 125 boxes, each containing 8 items.

  1. Find total number of items
  2. Solve using a smart method

🏫 Case Study 2: School Attendance

A school has 1,000 students. On a particular day, 980 students were present.

  1. How many students were absent?
  2. Write predecessor of total students

🚗 Case Study 3: Parking Area

A parking lot has 100 spaces in each section and 20 sections.

  1. Find total parking spaces

🏬 Case Study 4: Mall Visitors

A mall has 50 visitors per group and 18 groups.

  1. Find total visitors using distributive property

📚 Case Study 5: Library Growth

A library has 2,000 books and adds 20 books every month.

  1. How many books after 3 months?

🧠 Section E – HOTS (5 × 1 = 5 marks)

  1. Can a whole number have two successors?
  2. Why is subtraction not always possible in whole numbers?
  3. Find two consecutive numbers whose sum is 51
  4. Is there a largest whole number? Why?
  5. What happens when a smaller number is subtracted from a bigger number?

✅ Answer Key

    🔢 Section A – MCQs

    1. b) 0
    2. b) 1000
    3. a) 0
    4. c) -2
    5. b) Commutative
    6. c) Distributive
    7. a) Addition
    8. b) Additive
    9. b) Multiplicative
    10. b) Right

    ✍️ Section B – Short Answers

    1. 45,679
    2. 9,999
    3. 21, 22, 23, 24
    4. 99 × 6 = (100 × 6 − 6) = 594
    5. Not closed (e.g., 5 − 9 = −4, not a whole number)
    6. Associative Property
    7. 25 × (10 + 4) = 25×10 + 25×4 = 250 + 100 = 350
    8. 10,000, 10,001, 10,002
    9. Because there is no whole number before 0
    10. Pattern: Multiply by 2 → Next = 32

    🧠 Section C – Long Answers

    a) Commutative property:
    Example: 4 + 5 = 5 + 4

    b) Division is NOT commutative
    Example: 10 ÷ 2 ≠ 2 ÷ 10

    a) 8 × (15 + 5) = 8×15 + 8×5 = 120 + 40 = 160

    b) It simplifies large calculations

    a) 6 + 4 = 10 (move right 4 steps from 6)
    b) 10 − 7 = 3 (move left 7 steps from 10)

    a) Next = 15
    b) Pattern: Adding consecutive numbers (+2, +3, +4, +5…)

    a) 999 × 5 = (1000 × 5 − 5) = 5000 − 5 = 4995

    b) Trick: Use (1000 − 1) method

    🧩 Section D – Case-Based

    1. 125 × 8 = 1000 items
    2. (100 × 8) + (25 × 8) = 800 + 200 = 1000
    1. 1000 − 980 = 20 students
    2. Predecessor of 1000 = 999
    1. 100 × 20 = 2000 spaces
    1. 50 × 18 = 50×10 + 50×8 = 500 + 400 = 900 visitors
    1. 2000 + (20 × 3) = 2000 + 60 = 2060 books

    🧠 Section E – HOTS

    1. ❌ No (every number has only one successor)
    2. Because result can be negative (not a whole number)
    3. Numbers: 25 and 26
    4. ❌ No, whole numbers are infinite
    5. Result remains a whole number (positive)

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