Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 383 · 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 is √4356? =
2. 2.Write 2.5 × 10⁻² as a decimal. =
3. 3.Use a² − b² = (a + b)(a − b) to find 34² − 2².
4. 4.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
5. 5.Write 6¹⁴ ÷ 6⁵ as a single power 6ⁿ. What is n?
6. 6.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
7. 7.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
8. 8.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
9. 9.What is the value of 2⁸? =
10. 10.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
11. 11.What is √1681? =
12. 12.Find the compound interest on ₹52400 at 25% per year for 1 year, compounded every year (in ₹).
13. 13.What is √3844? =
14. 14.What is ∛1331? =
15. 15.What is √4624? =
16. 16.Solve: 7x + 12 = x + 78. What is x?
17. 17.The diagonals of a rhombus are 24 cm and 22 cm. What is its area (in square cm)?
18. 18.Use (a − b)² = a² − 2ab + b² to find 46².
19. 19.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
20. 20.Find the compound interest on ₹26800 at 15% per year for 2 years, compounded every year (in ₹).
21. 21.Use (a + b)(a − b) = a² − b² to find 35 × 25.
22. 22.What is the difference between the compound interest and the simple interest on ₹7500 at 4% per year for 2 years (in ₹)?
23. 23.Write 6¹⁶ ÷ 6⁷ as a single power 6ⁿ. What is n?
24. 24.What is 79²? =
25. 25.Use (a − b)² = a² − 2ab + b² to find 89².
26. 26.What is the value of (1/5)⁻²? =
27. 27.The diagonals of a rhombus are 20 cm and 25 cm. What is its area (in square cm)?
28. 28.How many whole numbers lie between 12² and 13²?
29. 29.A cuboid is 15 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
30. 30.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
31. 31.Use (a + b)(a − b) = a² − b² to find 59 × 41.
32. 32.Which of these is a perfect square? (a) 213 (b) 196 (c) 201
33. 33.Use (a − b)² = a² − 2ab + b² to find 49².
34. 34.Use (a + b)² = a² + 2ab + b² to find 92².
35. 35.A scooter is worth ₹22200. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
36. 36.A cuboid is 6 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
37. 37.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
38. 38.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
39. 39.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
40. 40.Write 3¹⁴ ÷ 3⁹ as a single power 3ⁿ. What is n?

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