Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 194 · 40 sums

The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.

1. 1.What is the value of 2¹¹? =
2. 2.What is the value of 8⁻¹ (as a fraction)? =
3. 3.What is the value of 5⁶ × 5⁻³? =
4. 4.How many whole numbers lie between 27² and 28²?
5. 5.A cuboid is 13 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
6. 6.What is ∛2197? =
7. 7.A cuboid is 4 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
8. 8.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
9. 9.Use (a + b)² = a² + 2ab + b² to find 32².
10. 10.Solve: y/2 + y/6 = 8. What is y?
11. 11.A scooter is worth ₹50000. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
12. 12.What is √1089? =
13. 13.A trapezium has parallel sides of 12 cm and 14 cm, and the distance between them is 12 cm. What is its area (in square cm)?
14. 14.Use (a − b)² = a² − 2ab + b² to find 15².
15. 15.2.1 × 10⁵ =
16. 16.What is 7³? =
17. 17.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
18. 18.The length of a rectangle is 3 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
19. 19.Write (6⁴)⁴ as a single power 6ⁿ. What is n?
20. 20.What is 8³? =
21. 21.What is the value of 2⁴ × 2⁻⁶? =
22. 22.A town has 2600 people. The population grows by 20% every year. What will the population be after 1 year?
23. 23.A cuboid is 7 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
24. 24.Solve: 6x + 3 = 2x + 23. What is x?
25. 25.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
26. 26.Use a² − b² = (a + b)(a − b) to find 61² − 11².
27. 27.A room is 6 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
28. 28.A scooter is worth ₹52800. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
29. 29.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
30. 30.A scooter is worth ₹4000. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
31. 31.A father is 28 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
32. 32.What is 5³? =
33. 33.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
34. 34.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
35. 35.Write 2.8 × 10⁻¹ as a decimal. =
36. 36.A room is 12 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
37. 37.9.9 × 10⁷ =
38. 38.Solve: 6(m − 5) = 3m + 12. What is m?
39. 39.What is the value of 5⁵? =
40. 40.Write (7⁵)³ as a single power 7ⁿ. What is n?

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