Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 169 · 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)(a − b) = a² − b² to find 24 × 16.
2. 2.Use a² − b² = (a + b)(a − b) to find 77² − 55².
3. 3.A cuboid is 4 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
4. 4.The diagonals of a rhombus are 6 cm and 10 cm. What is its area (in square cm)?
5. 5.A town has 46600 people. The population grows by 10% every year. What will the population be after 2 years?
6. 6.What is √7744? =
7. 7.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
8. 8.Find the compound interest on ₹49500 at 10% per year for 1 year, compounded every year (in ₹).
9. 9.Use (a + b)² = a² + 2ab + b² to find 56².
10. 10.2.1 × 10⁷ =
11. 11.What is the value of 2⁻² (as a fraction)? =
12. 12.The sum of four consecutive whole numbers is 66. What is the smallest of them?
13. 13.Find the compound interest on ₹36300 at 8% per year for 1 year, compounded every year (in ₹).
14. 14.A father is 28 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
15. 15.Write 3 × 10⁻⁴ as a decimal. =
16. 16.What is the smallest whole number by which 216 must be multiplied to get a perfect square?
17. 17.What is √4489? =
18. 18.Find the compound interest on ₹4600 at 10% per year for 1 year, compounded every year (in ₹).
19. 19.What is the value of 5⁵ × 5⁻⁵? =
20. 20.A square garden has an area of 64 square m. How long is each side (in m)?
21. 21.Find the value of x² − 2xy + y² when x = 11 and y = 8.
22. 22.Write 8¹¹ ÷ 8³ as a single power 8ⁿ. What is n?
23. 23.A town has 8000 people. The population grows by 25% every year. What will the population be after 2 years?
24. 24.Find the compound interest on ₹18000 at 15% per year for 2 years, compounded every year (in ₹).
25. 25.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
26. 26.What is the difference between the compound interest and the simple interest on ₹19600 at 15% per year for 2 years (in ₹)?
27. 27.Solve: 5(t − 2) = t + 2. What is t?
28. 28.Use a² − b² = (a + b)(a − b) to find 40² − 29².
29. 29.Find the compound interest on ₹20000 at 10% per year for 3 years, compounded every year (in ₹).
30. 30.Use (a + b)(a − b) = a² − b² to find 43 × 37.
31. 31.Find the compound interest on ₹6200 at 25% per year for 1 year, compounded every year (in ₹).
32. 32.Use (a − b)² = a² − 2ab + b² to find 42².
33. 33.Use (a − b)² = a² − 2ab + b² to find 78².
34. 34.Use (a + b)(a − b) = a² − b² to find 26 × 14.
35. 35.What is the smallest whole number by which 126 must be multiplied to get a perfect square?
36. 36.Write 9⁵ × 9³ as a single power 9ⁿ. What is n?
37. 37.What is the value of 8³? =
38. 38.What is the value of 2⁻⁸ (as a fraction)? =
39. 39.What is the value of 4⁸? =
40. 40.Solve: n/6 + n/2 = 32. What is n?

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