Class 8 CBSE Maths test

Time Left: 40:00

Math & Physics Test

Welcome to the Math & Physics Test! This test consists of 12 questions covering algebra, exponents, and basic physics concepts. You have 40 minutes to complete the test. Read each question carefully and select the correct option. Click "Submit Test" when you're ready to see your results. Good luck!

1. Evaluate \(\left[\frac{x^a(a-b)}{x^a(a+b)} \div \frac{x^b(b-a)}{x^b(b+a)}\right]^{a+b}\)

1 2 0 -1

2. If \(\left(\frac{4}{9}\right)^4 \times \left(\frac{4}{9}\right)^{-7} = \left(\frac{4}{9}\right)^{2x-1}\), find \(x\)

1 3 0 -1

3. If \(5^{2x+1} \div 25 = 125\), find the value of \(x\)

-2 2 1 -1

4. Evaluate \((2^0 + 3^{-1}) \times 3^2\)

-12 6 -4 12

5. Find the smallest number by which 2560 must be multiplied so that the product is a perfect cube

25 50 60 30

6. Find the smallest number by which 1600 must be divided so that the quotient is a perfect cube

10 5 -5 6

7. Find the value of \(x^{(a-b)(a+b)} \times x^{(b-c)(b+c)} \times x^{(c-a)(c+a)}\)

0 -1 1 2

8. Using a shortcut method, find the cube of 12, 87, 96

(a) 1728, 658503, 884736 (b) 1728, 683804, 884396 (c) 1726, 658503, 884736 (d) 1765, 659834, 8845743

9. Two forces of 25 N and 15 N act in the same direction on a 5 kg object. Find the acceleration.

(a) 6 m/s² (b) 8 m/s² (c) 19 m/s² (d) 8.5 m/s²

10. Find the pressure at a depth of 15 m in water (density = 1000 kg/m³, g = 10 m/s²).

(a) 150 kPa (b) 200 kPa (c) 300 kPa (d) 350 kPa

11. Calculate the force needed to accelerate a 20 kg box at 4 m/s².

(a) 40 N (b) 80 N (c) 60 N (d) 30 N

12. Two forces of 30 N and 50 N act in opposite directions on a 10 kg object. Find the acceleration.

(a) 8 m/s² (b) 2 m/s² (c) 3 m/s² (d) 0 m/s²