Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 270 · 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.What amount will ₹30800 grow to in 2 years at 15% per year compound interest (in ₹)?
2. 2.What is 8³? =
3. 3.Write (2⁶)⁵ as a single power 2ⁿ. What is n?
4. 4.Solve: 8m + 18 = 4m + 62. What is m?
5. 5.What is ∛13824? =
6. 6.What is the value of 5⁵? =
7. 7.8 × 10⁴ =
8. 8.The diagonals of a rhombus are 18 cm and 30 cm. What is its area (in square cm)?
9. 9.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
10. 10.A square garden has an area of 529 square m. How long is each side (in m)?
11. 11.Solve: 3y + 2 = y + 6. What is y?
12. 12.Write 27,00,000 in standard form as 2.7 × 10ⁿ. What is n?
13. 13.Use a² − b² = (a + b)(a − b) to find 67² − 34².
14. 14.Use (a + b)(a − b) = a² − b² to find 44 × 36.
15. 15.What is 15³? =
16. 16.What is the value of 5⁻⁴ (as a fraction)? =
17. 17.What is the value of 6⁶? =
18. 18.If a − b = 1 and ab = 6, what is a² + b²?
19. 19.Use (a − b)² = a² − 2ab + b² to find 19².
20. 20.A trapezium has an area of 432 square cm. Its parallel sides are 19 cm and 29 cm. What is the distance between them (in cm)?
21. 21.What is 27²? =
22. 22.Find the value of x² − 2xy + y² when x = 3 and y = 1.
23. 23.Use (a + b)² = a² + 2ab + b² to find 78².
24. 24.How many whole numbers lie between 46² and 47²?
25. 25.What is √5041? =
26. 26.Which of these is a perfect square? (a) 442 (b) 441 (c) 448
27. 27.Find the value of x² − y² when x = 6 and y = 1.
28. 28.Use (a − b)² = a² − 2ab + b² to find 25².
29. 29.Write 8,10,000 in standard form as 8.1 × 10ⁿ. What is n?
30. 30.What is the smallest whole number by which 245 must be divided to get a perfect square?
31. 31.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
32. 32.Use a² − b² = (a + b)(a − b) to find 25² − 8².
33. 33.Which of these is a perfect square? (a) 150 (b) 147 (c) 144
34. 34.What is the value of (4/9)⁻¹? =
35. 35.Find the value of x² − 2xy + y² when x = 13 and y = 10.
36. 36.Use (a + b)² = a² + 2ab + b² to find 73².
37. 37.What is the value of 10⁻² (as a fraction)? =
38. 38.The length of a rectangle is 5 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
39. 39.Write 9.2 × 10⁻⁴ as a decimal. =
40. 40.Write 2⁸ ÷ 2⁶ as a single power 2ⁿ. What is n?

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