Half Yearly Class 7 Mathematics Set 3

Maximum Marks: 80
Time: 3 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.

Syllabus: The Half-Yearly Examination is based on the following chapters: Large Numbers Around Us, Arithmetic Expressions, A Peek Beyond the Point, Expressions Using Letter-Numbers, Parallel and Intersecting Lines, Number Play, A Tale of Three Intersecting Lines, and Working with Fractions.

Section A (12 × 1 = 12 Marks)

Q1. Write the smallest 8-digit number in the Indian place value system.
(a) 10,00,000
(b) 1,00,00,000
(c) 1,00,000
(d) 10,00,00,000

Q2. What is the place value of 9 in 7,89,456?
(a) 9,000
(b) 90,000
(c) 900
(d) 9,00,000

Q3. Simplify: 10 + 4 × 3
(a) 22
(b) 42
(c) 18
(d) 28

Q4. What is the decimal form of 9/25?
(a) 0.36
(b) 0.9
(c) 0.25
(d) 0.09

Q5. If z = 4, find 3z - 5.
(a) 7
(b) 9
(c) 12
(d) 10

Q6. Which number equals 5,00,00,000 + 3,000 + 20 + 8?
(a) 5,00,03,028
(b) 5,03,028
(c) 5,30,028
(d) 50,03,028

Q7. Can sides 2 cm, 6 cm and 8 cm form a triangle?
(a) Yes
(b) No
(c) Only acute
(d) Only obtuse

Q8. Two lines intersect and one angle is 80°. What is the vertically opposite angle?
(a) 80°
(b) 100°
(c) 90°
(d) 180°

Q9. What is the parity of the sum of three odd numbers?
(a) Even
(b) Odd
(c) Zero
(d) Cannot be determined

Q10. What comes next in the sequence: 2, 3, 5, 8, 13?
(a) 18
(b) 19
(c) 21
(d) 23

Q11. What is 0.8 as a fraction in simplest form?
(a) 4/5
(b) 8/10
(c) 2/5
(d) 1/8

Q12. What is the coefficient of m in 7 + 4m?
(a) 4
(b) 7
(c) m
(d) 0

Section B (12 × 2 = 24 Marks)

Q13. Write 8,12,34,567 in words using the Indian number system.

Q14. Simplify: 30 ÷ 5 + 4 × 2.

Q15. Convert 1.25 into a fraction in simplest form.

Q16. If r = 6, find 5r - 8.

Q17. If p = -3 and q = 5, evaluate 4p² - 2pq.

Q18. Evaluate: 1.8 × 2.5.

Q19. Form an algebraic expression for: "Twice a number p increased by 10."

Q20. Find the sum: 78,90,123 + 34,56,789.

Q21. Simplify: (18 ÷ 3) + 5 × 2.

Q22. If k = 4, find the value of k² + 3k.

Q23. Convert 7/20 into a decimal.

Q24. Compare 6.78 and 6.87 using < or >.

Section C - 3 Marks Each

Q25. A factory produces 4,56,789 units. If 1,78,901 more units are produced, find the total production.

Q26. Simplify: 20 ÷ (5 - 3) × 4 + 2.

Q27. Simplify: 17.05 - [5.8 + (1.23 - 0.7)].

Q28. If a = 3 and b = 4, find the value of 2a² + b².

Q29. Write 7,89,12,345 in expanded form using powers of 10.

Q30. Subtract 56,78,901 from 1,12,34,567 and verify the result.

Q31. Form and simplify: "A number n multiplied by 5 and decreased by four times the same number."

Q32. Convert 0.625 into a fraction and verify by converting it back to a decimal.

Section D - 4 Marks Each

Q33. The population of a state is 15,67,89,123. 
(a) 4,56,789 people move out. 
(b) 2,34,567 people move in. Find the final population.

Q34. Simplify 5(4p - 2q) - 3(p - 5q) + 10 and evaluate it for p = 1 and q = -1.

Q35. A trader buys an item for ₹56.45 and sells it for ₹78.95. (a) Find the profit. (b) Express the profit as a fraction.

Q36. If x = 3 and y = 5, evaluate x² + 2xy - y².

Q37. Two consecutive numbers in the Virahanka sequence are 987 and 1597. 
(a) Find the next two numbers. 
(b) Find the previous two numbers.

You can access the solutions of this Half Yearly Exam here.