Half Yearly Mathematics Set 1 - Class 7 Mathematics (Ganita Prakash) | FREE PDF Download

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. Which number is equivalent to 5,00,000 in the Indian number system?
(a) Five lakh
(b) Fifty thousand
(c) Five crore
(d) Five hundred

Q2. Simplify: 15 + 3 × 4.
(a) 72
(b) 27
(c) 48
(d) 33

Q3. What is the decimal form of 7/10?
(a) 0.7
(b) 7.0
(c) 0.07
(d) 70

Q4. What is the coefficient of y in the expression 3y + 7?
(a) 3
(b) 7
(c) 1
(d) 0

Q5. Two lines intersect and one angle is 120°. What is the vertically opposite angle?
(a) 60°
(b) 120°
(c) 180°
(d) 90°

Q6. If two lines are perpendicular, each angle formed is:
(a) 60°
(b) 120°
(c) 90°
(d) 180°

Q7. What is the parity of the sum of 5 odd numbers?
(a) Even
(b) Odd
(c) Cannot be determined
(d) Zero

Q8. Can sides 3 cm, 4 cm and 8 cm form a triangle?
(a) Yes
(b) No
(c) Only right-angled
(d) Only equilateral

Q9. Find: 1/5 × 3
(a) 3/5
(b) 15
(c) 3
(d) 5/3

Q10. What is the third angle of a triangle with angles 30° and 60°?
(a) 90°
(b) 120°
(c) 180°
(d) 60°

Q11. What is the product of 2/3 and 3/4?
(a) 1/2
(b) 5/7
(c) 6/12
(d) 1/6

Q12. Divide 3/4 by 1/2.
(a) 3/8
(b) 3/2
(c) 1/4
(d) 4/3

Section B (12 × 2 = 24 Marks)

Q13. Write 7,89,45,123 in words using the Indian number system.

Q14. Simplify: 20 ÷ 4 + 6 × 2.

Q15. Convert 3.75 into a fraction.

Q16. If two intersecting lines form one angle of 130°, find its adjacent angle.

Q17. Find the product of 1/2 and 7/10.

Q18. Determine whether sides 4 cm, 5 cm and 6 cm can form a triangle.

Q19. Arrange the following numbers in descending order: 12,34,567; 1,23,45,678; 12,34,678.

Q20. Simplify: (15 + 5) ÷ (2 × 2).

Q21. If m = 2, find the value of m² + 4m.

Q22. Write an algebraic expression for: "Five times a number x increased by 8."

Q23. Find the sum of 56,78,901 and 12,34,567.

Q24. Compare the decimals 4.56 and 4.65 using <, > or =.

Section C (8x3=24 marks)

Q25. A school has 2,45,678 students enrolled. If 1,23,456 more students join, how many students are there in total?

Q26. Simplify: 24 ÷ (3 + 5) × 2 + 7.

Q27. Add: 3.45 + 2.67 + 1.23.

Q28. If x = 3 and y = 2, find the value of 4x² + 3y.

Q29. Write 9,87,65,432 in expanded form using powers of 10.

Q30. Subtract 45,67,890 from 1,23,45,678 and verify the result.

Q31. Form and simplify an algebraic expression for: "Seven times a number y decreased by twice the same number."

Q32. Convert 0.375 into a fraction and verify by converting it back to decimal.

Section D (5 × 4 = 20 Marks)

Q33. The population of a city is 12,34,56,789. If 2,34,567 people move out and 1,45,678 people move in, find the new population.

Q34. Simplify the algebraic expression: 7(2x - 3y + 4) - 5(x - 2y + 1).

Q35. A basket contains 5/8 kg of apples and 3/4 kg of oranges. 
(a) Find the total weight of fruits. 
(b) If 1 kg of fruit costs ₹120, find the total cost.

Q36. Simplify 2a² - 5a + 1 - (3a² + 2a - 3) and find its value when a = -4.

Q37. A tap fills 7/10 of a tank in 1 hour. How much time will it take to fill the entire tank?

You can access the solutions for this Half yearly exam here.