Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 382 · 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.Write (4³)⁸ as a single power 4ⁿ. What is n?
2. 2.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
3. 3.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
4. 4.What is the difference between the compound interest and the simple interest on ₹55000 at 12% per year for 2 years (in ₹)?
5. 5.The length of a rectangle is 8 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
6. 6.Use (a + b)(a − b) = a² − b² to find 64 × 56.
7. 7.What is ∛8? =
8. 8.A cuboid is 12 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
9. 9.What is 7³? =
10. 10.If a + b = 9 and ab = 18, what is a² + b²?
11. 11.The sum of two consecutive whole numbers is 29. What is the largest of them?
12. 12.What is 16³? =
13. 13.What is the value of 2² × 2⁻⁶? =
14. 14.What is 17³? =
15. 15.A trapezium has parallel sides of 30 cm and 28 cm, and the distance between them is 20 cm. What is its area (in square cm)?
16. 16.Use (a − b)² = a² − 2ab + b² to find 85².
17. 17.A room is 5 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
18. 18.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
19. 19.Which of these is a perfect cube? (a) 1212 (b) 1102 (c) 1000
20. 20.Use (a + b)² = a² + 2ab + b² to find 91².
21. 21.What is the value of 5⁶? =
22. 22.Solve: 6(p − 1) = 2p + 10. What is p?
23. 23.What is the difference between the compound interest and the simple interest on ₹17500 at 8% per year for 2 years (in ₹)?
24. 24.What is 4³? =
25. 25.Find the compound interest on ₹25800 at 15% per year for 1 year, compounded every year (in ₹).
26. 26.What amount will ₹10000 grow to in 2 years at 4% per year compound interest (in ₹)?
27. 27.What is the difference between the compound interest and the simple interest on ₹52800 at 15% per year for 2 years (in ₹)?
28. 28.A trapezium has parallel sides of 28 cm and 21 cm, and the distance between them is 16 cm. What is its area (in square cm)?
29. 29.What is ∛1728? =
30. 30.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
31. 31.Find the compound interest on ₹15000 at 10% per year for 3 years, compounded every year (in ₹).
32. 32.What is ∛13824? =
33. 33.A trapezium has parallel sides of 29 cm and 30 cm, and the distance between them is 14 cm. What is its area (in square cm)?
34. 34.Find the value of x² − 2xy + y² when x = 5 and y = 1.
35. 35.The sum of four consecutive whole numbers is 26. What is the smallest of them?
36. 36.Solve: 3(y − 4) = y + 22. What is y?
37. 37.Solve: 5(x − 1) = x + 51. What is x?
38. 38.Write 8¹⁵ ÷ 8⁹ as a single power 8ⁿ. What is n?
39. 39.A town has 23700 people. The population grows by 12% every year. What will the population be after 1 year?
40. 40.Which of these is a perfect square? (a) 358 (b) 331 (c) 324

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