Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 775 · 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 the value of (7/8)⁻¹? =
2. 2.What is ∛125? =
3. 3.Write 2,70,00,000 in standard form as 2.7 × 10ⁿ. What is n?
4. 4.Find the compound interest on ₹12500 at 12% per year for 2 years, compounded every year (in ₹).
5. 5.Use a² − b² = (a + b)(a − b) to find 87² − 11².
6. 6.Write 8⁹ ÷ 8³ as a single power 8ⁿ. What is n?
7. 7.Use (a + b)(a − b) = a² − b² to find 24 × 16.
8. 8.A cuboid is 7 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
9. 9.The diagonals of a rhombus are 18 cm and 23 cm. What is its area (in square cm)?
10. 10.Which of these is a perfect cube? (a) 729 (b) 930 (c) 805
11. 11.What is the value of 5⁻⁴ (as a fraction)? =
12. 12.Which of these is a perfect cube? (a) 343 (b) 362 (c) 456
13. 13.What is the value of 6²? =
14. 14.How many whole numbers lie between 42² and 43²?
15. 15.Solve: n/6 + n/2 = 12. What is n?
16. 16.Write 7² × 7⁷ as a single power 7ⁿ. What is n?
17. 17.What is the value of 5⁶ × 5⁻²? =
18. 18.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
19. 19.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
20. 20.How many whole numbers lie between 18² and 19²?
21. 21.What is the difference between the compound interest and the simple interest on ₹42500 at 4% per year for 2 years (in ₹)?
22. 22.Use (a − b)² = a² − 2ab + b² to find 15².
23. 23.A cuboid is 9 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
24. 24.A trapezium has parallel sides of 13 cm and 21 cm, and the distance between them is 5 cm. What is its area (in square cm)?
25. 25.What amount will ₹32400 grow to in 2 years at 15% per year compound interest (in ₹)?
26. 26.Write 9¹⁰ ÷ 9⁵ as a single power 9ⁿ. What is n?
27. 27.What is ∛3375? =
28. 28.What is ∛343? =
29. 29.Find the compound interest on ₹4000 at 12% per year for 1 year, compounded every year (in ₹).
30. 30.Find the compound interest on ₹34200 at 20% per year for 1 year, compounded every year (in ₹).
31. 31.What is the value of 3²? =
32. 32.Use (a + b)(a − b) = a² − b² to find 67 × 53.
33. 33.Use (a − b)² = a² − 2ab + b² to find 88².
34. 34.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
35. 35.Write 7.8 × 10⁻² as a decimal. =
36. 36.The sum of three consecutive whole numbers is 120. What is the largest of them?
37. 37.What is the value of 10⁵? =
38. 38.Use (a − b)² = a² − 2ab + b² to find 65².
39. 39.What is 5³? =
40. 40.A father is 10 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?

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