Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 241 · 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 6⁵? =
2. 2.What is 8³? =
3. 3.A room is 5 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
4. 4.A trapezium has parallel sides of 23 cm and 5 cm, and the distance between them is 12 cm. What is its area (in square cm)?
5. 5.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
6. 6.What is 86²? =
7. 7.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
8. 8.8.6 × 10² =
9. 9.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
10. 10.Write 4⁶ × 4⁷ as a single power 4ⁿ. What is n?
11. 11.How many whole numbers lie between 15² and 16²?
12. 12.Solve: 5p + 11 = 3p + 17. What is p?
13. 13.What is the difference between the compound interest and the simple interest on ₹42000 at 15% per year for 2 years (in ₹)?
14. 14.Use (a + b)(a − b) = a² − b² to find 89 × 71.
15. 15.Use a² − b² = (a + b)(a − b) to find 52² − 32².
16. 16.A town has 32000 people. The population grows by 5% every year. What will the population be after 3 years?
17. 17.Find the compound interest on ₹59200 at 15% per year for 2 years, compounded every year (in ₹).
18. 18.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
19. 19.The length of a rectangle is 12 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
20. 20.Solve: m/5 + m/3 = 8. What is m?
21. 21.Which of these is a perfect cube? (a) 64 (b) 103 (c) 73
22. 22.Find the compound interest on ₹24000 at 15% per year for 3 years, compounded every year (in ₹).
23. 23.What amount will ₹42500 grow to in 2 years at 4% per year compound interest (in ₹)?
24. 24.A trapezium has parallel sides of 6 cm and 26 cm, and the distance between them is 8 cm. What is its area (in square cm)?
25. 25.Find the compound interest on ₹16000 at 5% per year for 3 years, compounded every year (in ₹).
26. 26.Solve: 4(y − 4) = y + 11. What is y?
27. 27.Which of these is a perfect cube? (a) 1477 (b) 1418 (c) 1331
28. 28.A square garden has an area of 1089 square m. How long is each side (in m)?
29. 29.Write 7⁸ ÷ 7⁵ as a single power 7ⁿ. What is n?
30. 30.A square garden has an area of 64 square m. How long is each side (in m)?
31. 31.Use (a − b)² = a² − 2ab + b² to find 33².
32. 32.Solve: 4x + 20 = x + 47. What is x?
33. 33.A father is 27 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
34. 34.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
35. 35.1.2 × 10⁶ =
36. 36.Find the value of x² + 2xy + y² when x = 5 and y = 3.
37. 37.Find the compound interest on ₹12000 at 10% per year for 2 years, compounded every year (in ₹).
38. 38.A trapezium has parallel sides of 4 cm and 14 cm, and the distance between them is 16 cm. What is its area (in square cm)?
39. 39.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
40. 40.The length of a rectangle is 12 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?

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