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VEEZNA GROUP OF INSTITUTES

VEEZNA GROUP OF INSTITUTES

Class VII – Mathematics Test Paper

Chapters: Simple Equations, Comparing Quantities, Algebraic Expressions
Time: 1 Hour | Maximum Marks: 40

General Instructions

1. All questions are compulsory.
2. Use of calculator is not permitted.
3. Show necessary steps for full marks.

Section A – Multiple Choice Questions (1×8=8)

1. Solution of 3x + 5 = 20 is: (a) 3 (b) 4 (c) 5 (d) 6
2. CP = ₹500, SP = ₹550. Gain % is: (a) 5% (b) 8% (c) 10% (d) 12%
3. Which is an algebraic expression? (a) 7+5=12 (b) x+5 (c) 15÷3 (d) 20
4. 25% of 200 is: (a) 25 (b) 40 (c) 50 (d) 75
5. Coefficient of x in 7x+3 is: (a) 3 (b) 7 (c) x (d) 10
6. Solve: x−9=6 (a) 3 (b) 15 (c) −3 (d) 9
7. MP ₹1000, discount 10%. SP = ? (a) ₹900 (b) ₹910 (c) ₹990 (d) ₹890
8. Which is a constant? (a) 4x (b) x² (c) 9 (d) 3y

Section B – Very Short Answer (2×6=12)

9. Solve: x + 7 = 15
10. Find 20% of ₹250
11. Write coefficient of y in 5y − 8
12. If CP = ₹400 and SP = ₹360, find loss
13. Simplify: 3x + 2x
14. Solve: 2x = 18

Section C – Short Answer (3×6=18)

15. Solve: 4x − 7 = 13
16. Discount 20% on MP ₹800. Find SP.
17. Simplify: 7a − 3a + 5 − 2
18. CP = ₹600, SP = ₹660. Find gain or loss %.
19. Solve: 5x + 10 = 35
20. Add: (3x + 5) and (4x − 2)

Section D – Long Answer (1×2=2)

21. The sum of a number and 12 is 30. Find the number.

Solved Answer Key (Step-by-Step)

Section A – MCQs

1. 3x + 5 = 20 ⇒ 3x = 15 ⇒ x = 5 (c)
2. Gain = 550 − 500 = 50 ⇒ Gain % = (50/500)×100 = 10% (c)
3. x + 5 has a variable ⇒ Algebraic expression (b)
4. 25% of 200 = (25/100)×200 = 50 (c)
5. In 7x + 3, coefficient of x is 7 (b)
6. x − 9 = 6 ⇒ x = 15 (b)
7. Discount = 10% of 1000 = 100 ⇒ SP = 900 (a)
8. Constant has no variable ⇒ 9 (c)

Section B – Very Short Answers

9. x + 7 = 15 ⇒ x = 15 − 7 = 8
10. 20% of 250 = (20/100)×250 = ₹50
11. Coefficient of y in 5y − 8 is 5
12. Loss = CP − SP = 400 − 360 = ₹40
13. 3x + 2x = 5x
14. 2x = 18 ⇒ x = 9

Section C – Short Answers

15. 4x − 7 = 13 ⇒ 4x = 20 ⇒ x = 5
16. Discount = 20% of 800 = 160 ⇒ SP = 800 − 160 = ₹640
17. 7a − 3a + 5 − 2 = 4a + 3 ✔
18. Gain = 660 − 600 = 60 ⇒ Gain % = (60/600)×100 = 10%
19. 5x + 10 = 35 ⇒ 5x = 25 ⇒ x = 5
20. (3x + 5) + (4x − 2) = 7x + 3 ✔

Section D – Long Answer

21. Let number = x
    x + 12 = 30 ⇒ x = 18 ✔

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