Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 96 · 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 square garden has an area of 81 square m. How long is each side (in m)?
2. 2.Use (a + b)² = a² + 2ab + b² to find 38².
3. 3.Find the compound interest on ₹56000 at 10% per year for 3 years, compounded every year (in ₹).
4. 4.The diagonals of a rhombus are 18 cm and 15 cm. What is its area (in square cm)?
5. 5.What is ∛9261? =
6. 6.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
7. 7.What is the value of 2¹³? =
8. 8.What is 16³? =
9. 9.A scooter is worth ₹25600. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
10. 10.A square garden has an area of 2809 square m. How long is each side (in m)?
11. 11.Use (a + b)(a − b) = a² − b² to find 45 × 35.
12. 12.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
13. 13.Solve: 6(x − 1) = x + 4. What is x?
14. 14.Write 270 in standard form as 2.7 × 10ⁿ. What is n?
15. 15.What is 7³? =
16. 16.What is the value of 10³ × 10⁻²? =
17. 17.Find the compound interest on ₹16000 at 15% per year for 3 years, compounded every year (in ₹).
18. 18.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
19. 19.What is the smallest whole number by which 27 must be divided to get a perfect square?
20. 20.The length of a rectangle is 3 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
21. 21.Solve: 3n + 4 = 2n + 12. What is n?
22. 22.Which of these is a perfect cube? (a) 2591 (b) 2197 (c) 2344
23. 23.A trapezium has parallel sides of 17 cm and 25 cm, and the distance between them is 2 cm. What is its area (in square cm)?
24. 24.Use (a + b)² = a² + 2ab + b² to find 25².
25. 25.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
26. 26.The length of a rectangle is 6 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
27. 27.What is the value of 2¹¹? =
28. 28.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
29. 29.What is the value of 2⁶? =
30. 30.A room is 5 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
31. 31.Find the compound interest on ₹5000 at 12% per year for 2 years, compounded every year (in ₹).
32. 32.Which of these is a perfect cube? (a) 606 (b) 652 (c) 512
33. 33.What is 48²? =
34. 34.Which of these is a perfect square? (a) 1320 (b) 1296 (c) 1327
35. 35.Use (a − b)² = a² − 2ab + b² to find 79².
36. 36.Write (2⁴)⁶ as a single power 2ⁿ. What is n?
37. 37.The sum of three consecutive whole numbers is 171. What is the smallest of them?
38. 38.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
39. 39.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
40. 40.What is the value of 8³? =

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