Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 494 · 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.If a + b = 8 and ab = 7, what is a² + b²?
2. 2.A room is 3 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
3. 3.What amount will ₹41600 grow to in 3 years at 25% per year compound interest (in ₹)?
4. 4.What is the value of (4/5)⁻¹? =
5. 5.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
6. 6.Find the value of x² − y² when x = 12 and y = 5.
7. 7.Use (a + b)(a − b) = a² − b² to find 38 × 22.
8. 8.A cuboid is 5 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
9. 9.Use a² − b² = (a + b)(a − b) to find 91² − 79².
10. 10.What is the value of (2/3)⁻¹? =
11. 11.A square garden has an area of 36 square m. How long is each side (in m)?
12. 12.What is ∛8? =
13. 13.What is the difference between the compound interest and the simple interest on ₹22000 at 25% per year for 2 years (in ₹)?
14. 14.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
15. 15.Which of these is a perfect cube? (a) 125 (b) 190 (c) 172
16. 16.What is the value of (8/9)⁻¹? =
17. 17.A cuboid is 3 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
18. 18.What is ∛2744? =
19. 19.What is the value of 3³ × 3⁻²? =
20. 20.Write (8⁶)⁵ as a single power 8ⁿ. What is n?
21. 21.A scooter is worth ₹9200. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
22. 22.A cuboid is 8 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
23. 23.What is √1600? =
24. 24.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
25. 25.If a + b = 5 and ab = 6, what is a² + b²?
26. 26.Find the value of x² − y² when x = 6 and y = 5.
27. 27.Which of these is a perfect square? (a) 1125 (b) 1114 (c) 1089
28. 28.What is 51²? =
29. 29.What is ∛6859? =
30. 30.What is 36²? =
31. 31.Find the compound interest on ₹27000 at 10% per year for 3 years, compounded every year (in ₹).
32. 32.Write 2⁹ ÷ 2⁵ as a single power 2ⁿ. What is n?
33. 33.Solve: 7m + 5 = 6m + 15. What is m?
34. 34.Use a² − b² = (a + b)(a − b) to find 31² − 1².
35. 35.What is 17³? =
36. 36.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
37. 37.2.7 × 10⁶ =
38. 38.Find the compound interest on ₹10000 at 10% per year for 3 years, compounded every year (in ₹).
39. 39.The length of a rectangle is 7 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
40. 40.A trapezium has parallel sides of 18 cm and 28 cm, and the distance between them is 11 cm. What is its area (in square cm)?

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