Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 320 · 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.Write (8⁷)² as a single power 8ⁿ. What is n?
2. 2.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
3. 3.A trapezium has parallel sides of 28 cm and 8 cm, and the distance between them is 5 cm. What is its area (in square cm)?
4. 4.Find the compound interest on ₹43600 at 25% per year for 2 years, compounded every year (in ₹).
5. 5.What is the value of (4/9)⁻²? =
6. 6.Use (a − b)² = a² − 2ab + b² to find 53².
7. 7.A trapezium has an area of 48 square cm. Its parallel sides are 22 cm and 10 cm. What is the distance between them (in cm)?
8. 8.What is 77²? =
9. 9.The length of a rectangle is 5 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
10. 10.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
11. 11.What is 31²? =
12. 12.Use (a − b)² = a² − 2ab + b² to find 15².
13. 13.9.6 × 10³ =
14. 14.What amount will ₹53600 grow to in 2 years at 10% per year compound interest (in ₹)?
15. 15.Find the compound interest on ₹17200 at 10% per year for 2 years, compounded every year (in ₹).
16. 16.Find the value of x² + 2xy + y² when x = 10 and y = 3.
17. 17.Use (a + b)² = a² + 2ab + b² to find 57².
18. 18.Use (a + b)² = a² + 2ab + b² to find 36².
19. 19.What is ∛15625? =
20. 20.How many whole numbers lie between 21² and 22²?
21. 21.What is the difference between the compound interest and the simple interest on ₹33200 at 15% per year for 2 years (in ₹)?
22. 22.Use (a + b)² = a² + 2ab + b² to find 21².
23. 23.The length of a rectangle is 1 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
24. 24.What is 8³? =
25. 25.Find the compound interest on ₹56000 at 5% per year for 3 years, compounded every year (in ₹).
26. 26.A trapezium has an area of 70 square cm. Its parallel sides are 19 cm and 16 cm. What is the distance between them (in cm)?
27. 27.The sum of three consecutive whole numbers is 60. What is the largest of them?
28. 28.Use (a + b)² = a² + 2ab + b² to find 92².
29. 29.What is the smallest whole number by which 350 must be multiplied to get a perfect square?
30. 30.Write 1.3 × 10⁻² as a decimal. =
31. 31.Find the value of x² − y² when x = 15 and y = 12.
32. 32.What is ∛4913? =
33. 33.What is 19³? =
34. 34.A trapezium has an area of 50 square cm. Its parallel sides are 8 cm and 12 cm. What is the distance between them (in cm)?
35. 35.Use a² − b² = (a + b)(a − b) to find 33² − 16².
36. 36.A cuboid is 5 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
37. 37.Solve: 4x + 14 = 3x + 17. What is x?
38. 38.Use (a + b)(a − b) = a² − b² to find 72 × 68.
39. 39.What is the value of 2⁻⁴ (as a fraction)? =
40. 40.What amount will ₹32500 grow to in 2 years at 4% per year compound interest (in ₹)?

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