Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 509 · 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 ∛512? =
2. 2.Write 9,700 in standard form as 9.7 × 10ⁿ. What is n?
3. 3.A trapezium has parallel sides of 7 cm and 4 cm, and the distance between them is 4 cm. What is its area (in square cm)?
4. 4.A square garden has an area of 289 square m. How long is each side (in m)?
5. 5.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
6. 6.What is the value of 4⁴? =
7. 7.Use (a − b)² = a² − 2ab + b² to find 22².
8. 8.What is the smallest whole number by which 320 must be multiplied to get a perfect square?
9. 9.Which of these is a perfect square? (a) 428 (b) 418 (c) 400
10. 10.What is ∛1728? =
11. 11.What is the value of 2¹ × 2⁻²? =
12. 12.Write 1.3 × 10⁻³ as a decimal. =
13. 13.Write 4 × 10⁻³ as a decimal. =
14. 14.How many whole numbers lie between 11² and 12²?
15. 15.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
16. 16.A trapezium has parallel sides of 12 cm and 23 cm, and the distance between them is 8 cm. What is its area (in square cm)?
17. 17.Use (a − b)² = a² − 2ab + b² to find 63².
18. 18.What is the difference between the compound interest and the simple interest on ₹30800 at 25% per year for 2 years (in ₹)?
19. 19.A cuboid is 15 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
20. 20.Use (a + b)(a − b) = a² − b² to find 25 × 15.
21. 21.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
22. 22.Solve: n/5 + n/6 = 55. What is n?
23. 23.How many whole numbers lie between 15² and 16²?
24. 24.Which of these is a perfect square? (a) 1125 (b) 1089 (c) 1126
25. 25.What is 83²? =
26. 26.What amount will ₹23700 grow to in 1 year at 5% per year compound interest (in ₹)?
27. 27.A square garden has an area of 841 square m. How long is each side (in m)?
28. 28.The sum of three consecutive whole numbers is 66. What is the smallest of them?
29. 29.What amount will ₹32000 grow to in 3 years at 5% per year compound interest (in ₹)?
30. 30.Use a² − b² = (a + b)(a − b) to find 36² − 17².
31. 31.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
32. 32.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
33. 33.Use (a + b)(a − b) = a² − b² to find 67 × 53.
34. 34.Use a² − b² = (a + b)(a − b) to find 31² − 3².
35. 35.Use a² − b² = (a + b)(a − b) to find 93² − 13².
36. 36.Use (a + b)² = a² + 2ab + b² to find 91².
37. 37.What is the value of 3⁶ × 3⁻⁴? =
38. 38.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
39. 39.Solve: n/6 + n/5 = 22. What is n?
40. 40.How many whole numbers lie between 41² and 42²?

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