Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 149 · 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 8 cubic cm. How long is each edge (in cm)?
2. 2.Write 810 in standard form as 8.1 × 10ⁿ. What is n?
3. 3.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
4. 4.What is the difference between the compound interest and the simple interest on ₹7200 at 5% per year for 2 years (in ₹)?
5. 5.A trapezium has an area of 66 square cm. Its parallel sides are 18 cm and 15 cm. What is the distance between them (in cm)?
6. 6.A trapezium has parallel sides of 4 cm and 29 cm, and the distance between them is 16 cm. What is its area (in square cm)?
7. 7.Use (a − b)² = a² − 2ab + b² to find 53².
8. 8.If a + b = 15 and ab = 54, what is a² + b²?
9. 9.Write 9.2 × 10⁻³ as a decimal. =
10. 10.A cuboid is 12 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
11. 11.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
12. 12.The diagonals of a rhombus are 20 cm and 18 cm. What is its area (in square cm)?
13. 13.Use (a − b)² = a² − 2ab + b² to find 81².
14. 14.What is the value of (5/6)⁻²? =
15. 15.Write 6.6 × 10⁻⁴ as a decimal. =
16. 16.What is the difference between the compound interest and the simple interest on ₹32800 at 15% per year for 2 years (in ₹)?
17. 17.Use (a − b)² = a² − 2ab + b² to find 39².
18. 18.How many whole numbers lie between 10² and 11²?
19. 19.A cuboid is 5 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
20. 20.Use (a + b)(a − b) = a² − b² to find 88 × 72.
21. 21.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
22. 22.The length of a rectangle is 13 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
23. 23.Solve: 4(t − 5) = 3t + 2. What is t?
24. 24.Use (a − b)² = a² − 2ab + b² to find 35².
25. 25.What is 17²? =
26. 26.Find the compound interest on ₹2500 at 4% per year for 2 years, compounded every year (in ₹).
27. 27.A room is 11 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
28. 28.Which of these is a perfect cube? (a) 64 (b) 88 (c) 95
29. 29.What is 21²? =
30. 30.If a − b = 1 and ab = 2, what is a² + b²?
31. 31.A cuboid is 10 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
32. 32.9.4 × 10² =
33. 33.What is the difference between the compound interest and the simple interest on ₹38400 at 25% per year for 2 years (in ₹)?
34. 34.A trapezium has parallel sides of 9 cm and 7 cm, and the distance between them is 10 cm. What is its area (in square cm)?
35. 35.Use (a − b)² = a² − 2ab + b² to find 96².
36. 36.The length of a rectangle is 11 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
37. 37.The diagonals of a rhombus are 24 cm and 13 cm. What is its area (in square cm)?
38. 38.What amount will ₹3400 grow to in 1 year at 4% per year compound interest (in ₹)?
39. 39.What amount will ₹10900 grow to in 1 year at 5% per year compound interest (in ₹)?
40. 40.The sum of two consecutive whole numbers is 99. What is the smallest of them?

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