Half Yearly Class 7 Mathematics Set 2 | Mathematics (Ganita Prakash) Class 7 - New NCERT PDF Download

Maximum Marks: 68
Time: 2.5 Hours
General Instructions:
(i) All questions are compulsory.
(ii) Marks for each question are indicated against it.
(iii) Section A consists of 12 MCQs carrying 1 mark each.
(iv) Section B consists of 12 questions carrying 2 marks each.
(v) Section C consists of 8 questions carrying 3 marks each.
(vi) Section D consists of 5 questions carrying 4 marks each.
(vii) Use of calculators is not allowed.

Section A

Q1. What is the successor of 9,99,999?  (1 mark)
(a) 10,00,000
(b) 9,99,998
(c) 10,00,001
(d) 9,99,000

Q2. What is the place value of 3 in 8,34,672?  (1 mark)
(a) 30,000
(b) 3,000
(c) 300
(d) 3,00,000

Q3. Simplify: 18 – 2 × 5.  (1 mark)
(a) 8
(b) 10
(c) 16
(d) 28

Q4. What is 3.2 – 1.7?  (1 mark)
(a) 1.5
(b) 2.5
(c) 1.8
(d) 2.0

Q5. If y = 2, what is the value of 4y + 3?  (1 mark)
(a) 10
(b) 11
(c) 12
(d) 9

Q6. Which number is equivalent to 6,00,00,000 + 5,000 + 7?  (1 mark)
(a) 6,00,05,007
(b) 6,50,007
(c) 6,05,007
(d) 60,00,507

Q7. What is the fraction form of 0.4?  (1 mark)
(a) 2/5
(b) 4/10
(c) 1/4
(d) 4/100

Q8. Simplify: (12 ÷ 3) × 2 + 5.  (1 mark)
(a) 13
(b) 10
(c) 15
(d) 9

Q9. If b = 5, what is the value of b² – 3?  (1 mark)
(a) 22
(b) 25
(c) 28
(d) 20

Q10. Which number is 50,000 less than 45,67,890?  (1 mark)
(a) 45,17,890
(b) 45,67,840
(c) 44,67,890
(d) 45,17,840

Q11. What is 0.6 written as a fraction in its simplest form?  (1 mark)
(a) 3/5
(b) 6/10
(c) 2/3
(d) 1/6

Q12. What is the constant term in the expression 5x + 9?  (1 mark)
(a) 5
(b) 9
(c) x
(d) 0

Section B

Q13. Write 4,56,78,901 in words using the Indian number system.  (2 marks)

Q14. Simplify: 25 – 5 × 3 + 2.  (2 marks)

Q15. Convert 2.8 into a fraction in its simplest form.  (2 marks)

Q16. If q = 4, find the value of 2q + 9.  (2 marks)

Q17. Arrange in ascending order: 23,45,678; 23,45,789; 23,44,567.  (2 marks)

Q18. Evaluate: 3.6 ÷ 1.2.  (2 marks)

Q19. Form an algebraic expression: "Three times a number z decreased by 7."  (2 marks)

Q20. Find the difference: 89,12,345 – 12,34,567.  (2 marks)

Q21. Simplify: (20 ÷ 5) × 3 – 6.  (2 marks)

Q22. If n = 3, find the value of n² – 2n.  (2 marks)

Q23. Convert 3/5 into a decimal.  (2 marks)

Q24. Compare: 5.43 and 5.34 (use <, >, or =).  (2 marks)

Section C

Q25. A library has 3,67,890 books. If 2,12,345 more books are added, how many books will there be in total?  (3 marks)

Q26. Simplify: 15 × (4 ÷ 2) + 8 – 3.  (3 marks)

Q27. Multiply: 2.3 × 1.4.  (3 marks)

Q28. If p = 2 and q = 5, find the value of 3p² + 2q.  (3 marks)

Q29. Write 6,78,90,123 in expanded form using powers of 10.  (3 marks)

Q30. Add 67,89,123 and 23,45,678 and verify by subtraction.  (3 marks)

Q31. Form an algebraic expression for: "A number m multiplied by 4, then increased by three times the same number." Simplify it.  (3 marks)

Q32. Convert 0.125 into a fraction and verify by converting it back to a decimal.  (3 marks)

Section D

Q33. The population of a town is 9,87,65,432. If 3,45,678 people move in and 1,23,456 move out, what is the new population? Show all steps.  (4 marks)

Q34. Simplify the expression: 4 × (10 ÷ 5 + 3) – 2 × (8 ÷ 4). Show step-by-step working.  (4 marks)

Q35. A vendor buys a toy for ₹23.25 and sells it for ₹35.75. Find the profit and express it as a decimal and a fraction.  (4 marks)

Q36. If x = 5 and y = 2, evaluate the expression 3x² – 2xy + y². Show all substitutions and calculations.  (4 marks)

Q37. Compare the numbers 56,78,901 and 56,87,901 using place value analysis and write the numbers in words.  (4 marks)

You can access the solutions to this Half Yearly here.