Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 467 · 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.Solve: 4t + 11 = 2t + 39. What is t?
2. 2.What is 87²? =
3. 3.A cuboid is 3 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?
4. 4.What is the value of 2⁶ × 2⁻¹? =
5. 5.3.3 × 10² =
6. 6.What is the value of 2⁷? =
7. 7.Write 4³ × 4⁸ as a single power 4ⁿ. What is n?
8. 8.Use (a + b)(a − b) = a² − b² to find 85 × 75.
9. 9.What is √4489? =
10. 10.A trapezium has an area of 437 square cm. Its parallel sides are 22 cm and 24 cm. What is the distance between them (in cm)?
11. 11.What is 68²? =
12. 12.What is ∛2197? =
13. 13.Find the value of x² − 2xy + y² when x = 3 and y = 1.
14. 14.What is the value of 5⁷? =
15. 15.What is 18²? =
16. 16.What is √289? =
17. 17.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
18. 18.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
19. 19.Solve: 6(t − 2) = t + 63. What is t?
20. 20.What is the difference between the compound interest and the simple interest on ₹40000 at 12% per year for 2 years (in ₹)?
21. 21.What is √441? =
22. 22.Use a² − b² = (a + b)(a − b) to find 49² − 40².
23. 23.Find the compound interest on ₹51300 at 10% per year for 2 years, compounded every year (in ₹).
24. 24.What is 3³? =
25. 25.The diagonals of a rhombus are 4 cm and 3 cm. What is its area (in square cm)?
26. 26.The diagonals of a rhombus are 28 cm and 29 cm. What is its area (in square cm)?
27. 27.Use (a + b)² = a² + 2ab + b² to find 11².
28. 28.Write (6³)⁶ as a single power 6ⁿ. What is n?
29. 29.Find the compound interest on ₹28800 at 5% per year for 2 years, compounded every year (in ₹).
30. 30.What is the value of 3⁴? =
31. 31.Use (a − b)² = a² − 2ab + b² to find 77².
32. 32.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
33. 33.Use a² − b² = (a + b)(a − b) to find 50² − 23².
34. 34.What is the smallest whole number by which 960 must be divided to get a perfect square?
35. 35.Solve: 5t + 20 = 2t + 29. What is t?
36. 36.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
37. 37.6 × 10³ =
38. 38.What is the value of 2¹¹? =
39. 39.A square garden has an area of 144 square m. How long is each side (in m)?
40. 40.The sum of three consecutive whole numbers is 111. What is the largest of them?

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