Summer Vacation Homework (Grade VII Maths)

Instructions

  1. Complete all work neatly in a separate notebook.
  2. Show all steps for calculations.
  3. Write dates before starting each section.
  4. Use ruler for tables and diagrams.
  5. Revise tables from 2 to 30 daily.

Chapter 1 – Large Numbers

A. Understanding Large Numbers

1. Write in words:

a) 5,00,000 = __________________________________________

b) 75,00,000 = _________________________________________

c) 3,25,00,000 = _______________________________________

d) 12,50,00,000 = ______________________________________

2. Write in figures:

a) Twenty-five lakh = __________

b) One crore five lakh = __________

c) Eight crore seventy lakh = __________

d) Fifty-two lakh thirty thousand = __________

B. Lakh, Ten Lakh, Crore

3. Fill in the blanks:

a) 1 lakh = __________ thousand

b) 10 lakh = __________ thousand

c) 1 crore = __________ lakh

d) 1 crore = __________ thousand

C. Exact and Approximate Values

4. Write exact and approximate values:

a) 4,56,789 ≈ __________ (nearest thousand)

b) 9,87,654 ≈ __________ (nearest ten thousand)

c) 12,34,567 ≈ __________ (nearest lakh)

5. Round off:

a) 6,45,321 to nearest thousand = __________

b) 8,76,543 to nearest ten thousand = __________

c) 3,45,678 to nearest lakh = __________

D. Nearest Neighbours

6. Find nearest numbers:

a) Nearest lakh of 4,49,999 = __________ and __________

b) Nearest thousand of 7,12,345 = __________ and __________

c) Nearest crore of 2,45,00,000 = __________ and __________

E. Pattern in Products

7. Complete the pattern:

a) 2 × 10 = 20
2 × 20 = 40
2 × 30 = ___
2 × 40 = ___

b) 5 × 100 = 500
5 × 200 = 1000
5 × 300 = ___
5 × 400 = ___

F. Facts about Large Numbers

8. Answer:

a) Smallest 7-digit number = __________

b) Largest 7-digit number = __________

c) Smallest 8-digit number = __________

d) Smallest 9-digit number = __________

Chapter 2 – Arithmetic Expressions

A. Positive and Negative Numbers

9. Identify:

a) -5 is a __________ number

b) +12 is a __________ number

c) -0 is equal to __________

d) 0 is a __________ integer

10. Arrange in ascending order:

-5, 3, -1, 7, 0

B. Comparing Expressions

11. Put >, < or = :

a) -3 + 5 ___ 2

b) 10 - 7 ___ 5 - 1

c) -2 + 4 ___ 1 + 1

C. Terms in Arithmetic Expressions

12. Identify terms:

a) 5x + 3y – 7 → Terms: __________________________

b) 12a – 4b + 6 → Terms: _________________________

D. Properties of Integers

13. Write properties:

a) Closure property example: ______________________

b) Commutative property of addition: ______________

c) Associative property: __________________________

E. Role of Integers in Expressions

14. Evaluate:

a) -5 + 8 = ______

b) -12 + 7 = ______

c) 15 + (-9) = ______

d) -6 + (-4) = ______

F. Brackets in Expressions

15. Solve:

a) (5 + 3) × 2 = ______

b) 10 – (4 + 2) = ______

c) (12 – 6) ÷ 2 = ______

G. Tinkering with Terms – 1 (Removing Brackets)

16. Remove brackets:

a) 5 + (3 + 2) = __________________

b) 10 – (4 + 1) = __________________

c) 8 + (6 – 2) = __________________

H. Tinkering with Terms – 2 (Rearranging)

17. Rearrange and simplify:

a) 3 + 5 + 2 = __________________

b) 7 + (-3) + 6 = __________________

c) 10 – 4 + 2 = __________________

Fun Activity Section

18. Number Hunt

Find and write:

  • 5 large numbers from newspapers (6–9 digits)
  • Write their number names
  • Round them to nearest lakh

19. Expression Puzzle

Create 3 arithmetic expressions using +, –, × and brackets.

Example: (5 + 3) × 2

Write in notebook.

Mental Maths Challenge

20. Solve quickly:

a) 999 + 1 = ______

b) 1 crore = ______ lakh

c) -10 + 10 = ______

d) 50 × 20 = ______

e) 1000 – 1 = ______

Creative Corner

21. Make a chart on ANY ONE:

  • Place value of Crores
  • Integer operations in real life
  • Large number system
  • Rules of brackets