Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 11 · 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.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
2. 2.A trapezium has parallel sides of 16 cm and 25 cm, and the distance between them is 6 cm. What is its area (in square cm)?
3. 3.What is the value of 2³ × 2⁻¹? =
4. 4.The diagonals of a rhombus are 20 cm and 7 cm. What is its area (in square cm)?
5. 5.The length of a rectangle is 1 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
6. 6.What is the value of 8⁻³ (as a fraction)? =
7. 7.The length of a rectangle is 4 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
8. 8.A town has 9300 people. The population grows by 20% every year. What will the population be after 1 year?
9. 9.What is the value of 10⁶ × 10⁻³? =
10. 10.The sum of three consecutive whole numbers is 18. What is the largest of them?
11. 11.Find the compound interest on ₹6300 at 5% per year for 1 year, compounded every year (in ₹).
12. 12.A cuboid is 14 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
13. 13.A square garden has an area of 3249 square m. How long is each side (in m)?
14. 14.What is the difference between the compound interest and the simple interest on ₹55600 at 5% per year for 2 years (in ₹)?
15. 15.Use a² − b² = (a + b)(a − b) to find 26² − 18².
16. 16.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
17. 17.What is the value of 5⁴? =
18. 18.What is ∛2197? =
19. 19.Use (a − b)² = a² − 2ab + b² to find 11².
20. 20.The diagonals of a rhombus are 16 cm and 3 cm. What is its area (in square cm)?
21. 21.A scooter is worth ₹17000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
22. 22.A scooter is worth ₹60000. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
23. 23.Solve: 5m + 9 = 3m + 15. What is m?
24. 24.What is 11³? =
25. 25.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
26. 26.Which of these is a perfect square? (a) 101 (b) 100 (c) 104
27. 27.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
28. 28.Use (a + b)² = a² + 2ab + b² to find 39².
29. 29.Which of these is a perfect cube? (a) 92 (b) 64 (c) 111
30. 30.Which of these is a perfect square? (a) 1491 (b) 1444 (c) 1493
31. 31.A scooter is worth ₹21500. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
32. 32.Write 2² × 2⁴ as a single power 2ⁿ. What is n?
33. 33.Use (a + b)² = a² + 2ab + b² to find 99².
34. 34.Write (4³)⁴ as a single power 4ⁿ. What is n?
35. 35.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
36. 36.Write 210 in standard form as 2.1 × 10ⁿ. What is n?
37. 37.9.5 × 10³ =
38. 38.Find the value of x² + 2xy + y² when x = 6 and y = 3.
39. 39.Find the compound interest on ₹28000 at 10% per year for 3 years, compounded every year (in ₹).
40. 40.A cuboid is 7 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?

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