Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 307 · 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 41 × 39.
2. 2.Solve: n/4 + n/5 = 36. What is n?
3. 3.Find the compound interest on ₹38000 at 25% per year for 1 year, compounded every year (in ₹).
4. 4.Solve: 3m + 2 = 2m + 3. What is m?
5. 5.What is the value of 2² × 2⁻¹? =
6. 6.Write 7⁵ ÷ 7³ as a single power 7ⁿ. What is n?
7. 7.What is the difference between the compound interest and the simple interest on ₹25000 at 4% per year for 2 years (in ₹)?
8. 8.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
9. 9.A trapezium has parallel sides of 8 cm and 21 cm, and the distance between them is 6 cm. What is its area (in square cm)?
10. 10.A square garden has an area of 441 square m. How long is each side (in m)?
11. 11.A room is 12 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
12. 12.What is the value of 5⁷? =
13. 13.A cuboid is 4 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
14. 14.The sum of two consecutive whole numbers is 37. What is the smallest of them?
15. 15.A cuboid is 12 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
16. 16.A square garden has an area of 324 square m. How long is each side (in m)?
17. 17.A square garden has an area of 361 square m. How long is each side (in m)?
18. 18.How many whole numbers lie between 8² and 9²?
19. 19.Find the compound interest on ₹57300 at 10% per year for 1 year, compounded every year (in ₹).
20. 20.What is √7225? =
21. 21.What is the value of 3⁴ × 3⁻⁴? =
22. 22.Use (a + b)² = a² + 2ab + b² to find 68².
23. 23.The diagonals of a rhombus are 16 cm and 19 cm. What is its area (in square cm)?
24. 24.Use a² − b² = (a + b)(a − b) to find 78² − 60².
25. 25.Write 3.3 × 10⁻⁴ as a decimal. =
26. 26.What is the difference between the compound interest and the simple interest on ₹57000 at 20% per year for 2 years (in ₹)?
27. 27.What is √8281? =
28. 28.What is the difference between the compound interest and the simple interest on ₹52500 at 12% per year for 2 years (in ₹)?
29. 29.What amount will ₹28700 grow to in 1 year at 12% per year compound interest (in ₹)?
30. 30.The length of a rectangle is 15 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
31. 31.A square garden has an area of 81 square m. How long is each side (in m)?
32. 32.Which of these is a perfect square? (a) 425 (b) 407 (c) 400
33. 33.Write 8.6 × 10⁻² as a decimal. =
34. 34.Which of these is a perfect square? (a) 495 (b) 493 (c) 484
35. 35.2 × 10⁵ =
36. 36.A trapezium has parallel sides of 6 cm and 4 cm, and the distance between them is 2 cm. What is its area (in square cm)?
37. 37.Write 7.2 × 10⁻³ as a decimal. =
38. 38.Write 7,10,00,000 in standard form as 7.1 × 10ⁿ. What is n?
39. 39.What is √4096? =
40. 40.Solve: 7p + 19 = 2p + 59. What is p?

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