Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 135 · 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 16².
2. 2.Find the compound interest on ₹22000 at 10% per year for 1 year, compounded every year (in ₹).
3. 3.Use a² − b² = (a + b)(a − b) to find 26² − 8².
4. 4.Use (a + b)(a − b) = a² − b² to find 48 × 32.
5. 5.Use (a + b)² = a² + 2ab + b² to find 35².
6. 6.Use (a − b)² = a² − 2ab + b² to find 19².
7. 7.Solve: y/3 + y/2 = 10. What is y?
8. 8.Write 6³ × 6⁴ as a single power 6ⁿ. What is n?
9. 9.A trapezium has parallel sides of 27 cm and 5 cm, and the distance between them is 2 cm. What is its area (in square cm)?
10. 10.The sum of three consecutive whole numbers is 21. What is the smallest of them?
11. 11.What is the difference between the compound interest and the simple interest on ₹35000 at 4% per year for 2 years (in ₹)?
12. 12.What is 78²? =
13. 13.What amount will ₹8000 grow to in 2 years at 25% per year compound interest (in ₹)?
14. 14.Use (a − b)² = a² − 2ab + b² to find 22².
15. 15.What is √4761? =
16. 16.What is ∛64? =
17. 17.What is the smallest whole number by which 392 must be divided to get a perfect cube?
18. 18.Which of these is a perfect cube? (a) 763 (b) 729 (c) 766
19. 19.The length of a rectangle is 7 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
20. 20.Use (a + b)² = a² + 2ab + b² to find 94².
21. 21.A scooter is worth ₹5700. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
22. 22.What is 17³? =
23. 23.What is the difference between the compound interest and the simple interest on ₹21600 at 5% per year for 2 years (in ₹)?
24. 24.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
25. 25.What is ∛216? =
26. 26.Write 3³ × 3⁵ as a single power 3ⁿ. What is n?
27. 27.A trapezium has an area of 76 square cm. Its parallel sides are 5 cm and 3 cm. What is the distance between them (in cm)?
28. 28.Use (a + b)(a − b) = a² − b² to find 75 × 65.
29. 29.Solve: m/5 + m/3 = 56. What is m?
30. 30.What is 86²? =
31. 31.Find the compound interest on ₹17500 at 8% per year for 2 years, compounded every year (in ₹).
32. 32.What is the value of 4⁶? =
33. 33.Use (a + b)(a − b) = a² − b² to find 82 × 78.
34. 34.A town has 22500 people. The population grows by 8% every year. What will the population be after 2 years?
35. 35.Use a² − b² = (a + b)(a − b) to find 63² − 25².
36. 36.Use (a + b)(a − b) = a² − b² to find 96 × 84.
37. 37.Write 6,600 in standard form as 6.6 × 10ⁿ. What is n?
38. 38.What is 31²? =
39. 39.What amount will ₹40000 grow to in 3 years at 5% per year compound interest (in ₹)?
40. 40.What is 43²? =

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