Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 146 · 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.Which of these is a perfect square? (a) 621 (b) 622 (c) 576
2. 2.Which of these is a perfect square? (a) 1564 (b) 1535 (c) 1521
3. 3.Solve: m/3 + m/5 = 48. What is m?
4. 4.What amount will ₹38000 grow to in 3 years at 10% per year compound interest (in ₹)?
5. 5.Solve: 5(x − 5) = x + 15. What is x?
6. 6.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
7. 7.If a − b = 1 and ab = 2, what is a² + b²?
8. 8.The sum of four consecutive whole numbers is 46. What is the largest of them?
9. 9.Write 6⁴ × 6⁶ as a single power 6ⁿ. What is n?
10. 10.Use (a + b)² = a² + 2ab + b² to find 98².
11. 11.Use a² − b² = (a + b)(a − b) to find 55² − 8².
12. 12.What is the difference between the compound interest and the simple interest on ₹52500 at 12% per year for 2 years (in ₹)?
13. 13.A trapezium has parallel sides of 6 cm and 26 cm, and the distance between them is 19 cm. What is its area (in square cm)?
14. 14.A trapezium has an area of 378 square cm. Its parallel sides are 28 cm and 26 cm. What is the distance between them (in cm)?
15. 15.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
16. 16.If a − b = 4 and ab = 96, what is a² + b²?
17. 17.Use (a − b)² = a² − 2ab + b² to find 77².
18. 18.Solve: 7n + 2 = 4n + 26. What is n?
19. 19.Use a² − b² = (a + b)(a − b) to find 85² − 60².
20. 20.The diagonals of a rhombus are 26 cm and 28 cm. What is its area (in square cm)?
21. 21.What is the value of 2¹¹? =
22. 22.What is √1296? =
23. 23.A square garden has an area of 576 square m. How long is each side (in m)?
24. 24.What is 20³? =
25. 25.If a − b = 1 and ab = 20, what is a² + b²?
26. 26.What is √6084? =
27. 27.Write 430 in standard form as 4.3 × 10ⁿ. What is n?
28. 28.Use (a + b)(a − b) = a² − b² to find 32 × 28.
29. 29.The diagonals of a rhombus are 24 cm and 27 cm. What is its area (in square cm)?
30. 30.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
31. 31.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
32. 32.What is the value of 8⁻¹ (as a fraction)? =
33. 33.Solve: 6(t − 1) = 2t + 42. What is t?
34. 34.The sum of two consecutive whole numbers is 95. What is the smallest of them?
35. 35.1.1 × 10² =
36. 36.How many whole numbers lie between 5² and 6²?
37. 37.7 × 10² =
38. 38.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
39. 39.Write 6⁷ × 6⁸ as a single power 6ⁿ. What is n?
40. 40.A square garden has an area of 2500 square m. How long is each side (in m)?

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