Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 591 · 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.The diagonals of a rhombus are 10 cm and 16 cm. What is its area (in square cm)?
2. 2.What is the smallest whole number by which 896 must be divided to get a perfect square?
3. 3.What is the value of 10⁶ × 10⁻³? =
4. 4.Write 7.8 × 10⁻⁴ as a decimal. =
5. 5.What is the value of (5/8)⁻¹? =
6. 6.6.6 × 10⁴ =
7. 7.What is ∛1728? =
8. 8.The diagonals of a rhombus are 18 cm and 12 cm. What is its area (in square cm)?
9. 9.Use (a − b)² = a² − 2ab + b² to find 52².
10. 10.What is the smallest whole number by which 192 must be divided to get a perfect square?
11. 11.Find the compound interest on ₹3200 at 25% per year for 3 years, compounded every year (in ₹).
12. 12.What is the difference between the compound interest and the simple interest on ₹23600 at 5% per year for 2 years (in ₹)?
13. 13.Find the value of x² − y² when x = 8 and y = 3.
14. 14.Write 7⁸ ÷ 7⁴ as a single power 7ⁿ. What is n?
15. 15.Find the compound interest on ₹2500 at 4% per year for 2 years, compounded every year (in ₹).
16. 16.Solve: 4n + 15 = 3n + 18. What is n?
17. 17.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
18. 18.A town has 26400 people. The population grows by 20% every year. What will the population be after 1 year?
19. 19.What is the value of 2⁷? =
20. 20.The length of a rectangle is 6 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
21. 21.The sum of two consecutive whole numbers is 33. What is the smallest of them?
22. 22.What is the difference between the compound interest and the simple interest on ₹59600 at 25% per year for 2 years (in ₹)?
23. 23.What is the value of 5⁴? =
24. 24.What is 42²? =
25. 25.What is 46²? =
26. 26.What is the value of 2⁶ × 2⁻¹? =
27. 27.Use (a + b)(a − b) = a² − b² to find 73 × 67.
28. 28.8.1 × 10⁷ =
29. 29.What amount will ₹56000 grow to in 3 years at 5% per year compound interest (in ₹)?
30. 30.Find the value of x² − y² when x = 7 and y = 6.
31. 31.Write 8.2 × 10⁻⁴ as a decimal. =
32. 32.The diagonals of a rhombus are 26 cm and 4 cm. What is its area (in square cm)?
33. 33.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
34. 34.What is the value of 2⁵? =
35. 35.Use a² − b² = (a + b)(a − b) to find 96² − 79².
36. 36.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
37. 37.Use (a + b)(a − b) = a² − b² to find 96 × 84.
38. 38.Write 3¹¹ ÷ 3³ as a single power 3ⁿ. What is n?
39. 39.A cuboid is 6 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
40. 40.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?

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