Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 519 · 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.Use (a − b)² = a² − 2ab + b² to find 35².
2. 2.Which of these is a perfect cube? (a) 729 (b) 755 (c) 788
3. 3.How many whole numbers lie between 20² and 21²?
4. 4.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
5. 5.Write 1.6 × 10⁻² as a decimal. =
6. 6.What is the value of 6⁻² (as a fraction)? =
7. 7.What is 9³? =
8. 8.Which of these is a perfect square? (a) 127 (b) 121 (c) 139
9. 9.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
10. 10.What is 5³? =
11. 11.A trapezium has parallel sides of 9 cm and 3 cm, and the distance between them is 3 cm. What is its area (in square cm)?
12. 12.How many whole numbers lie between 9² and 10²?
13. 13.What is the value of 10³? =
14. 14.What is the value of (5/7)⁻²? =
15. 15.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
16. 16.A cuboid is 3 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
17. 17.What is the value of 10⁵ × 10⁻¹? =
18. 18.What is ∛9261? =
19. 19.The sum of three consecutive whole numbers is 66. What is the smallest of them?
20. 20.What is the value of 5³? =
21. 21.What is 76²? =
22. 22.Use (a − b)² = a² − 2ab + b² to find 69².
23. 23.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
24. 24.Find the value of x² − y² when x = 14 and y = 1.
25. 25.What is the value of 3³ × 3⁻³? =
26. 26.A cuboid is 14 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
27. 27.What is the value of 3³? =
28. 28.Solve: 5(x − 5) = 3x + 9. What is x?
29. 29.A cuboid is 15 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
30. 30.A cuboid is 13 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
31. 31.Solve: p/3 + p/4 = 14. What is p?
32. 32.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
33. 33.The diagonals of a rhombus are 8 cm and 8 cm. What is its area (in square cm)?
34. 34.A square garden has an area of 841 square m. How long is each side (in m)?
35. 35.Write 4¹¹ ÷ 4⁸ as a single power 4ⁿ. What is n?
36. 36.Find the compound interest on ₹13900 at 10% per year for 2 years, compounded every year (in ₹).
37. 37.What is the smallest whole number by which 576 must be divided to get a perfect cube?
38. 38.Which of these is a perfect square? (a) 100 (b) 111 (c) 117
39. 39.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
40. 40.Solve: 5(p − 4) = 3p + 16. What is p?

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