Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 573 · 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.Write (4⁵)⁷ as a single power 4ⁿ. What is n?
2. 2.What is 7³? =
3. 3.Solve: x/5 + x/3 = 16. What is x?
4. 4.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
5. 5.What is ∛343? =
6. 6.Use (a − b)² = a² − 2ab + b² to find 74².
7. 7.Use (a + b)(a − b) = a² − b² to find 76 × 64.
8. 8.Write 8² × 8⁵ as a single power 8ⁿ. What is n?
9. 9.Use a² − b² = (a + b)(a − b) to find 81² − 14².
10. 10.Write 3³ × 3² as a single power 3ⁿ. What is n?
11. 11.Find the value of x² − 2xy + y² when x = 15 and y = 9.
12. 12.What is the value of 2⁶ × 2⁻³? =
13. 13.Write 8⁸ × 8⁶ as a single power 8ⁿ. What is n?
14. 14.A square garden has an area of 2304 square m. How long is each side (in m)?
15. 15.Use a² − b² = (a + b)(a − b) to find 21² − 3².
16. 16.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
17. 17.A trapezium has an area of 81 square cm. Its parallel sides are 14 cm and 13 cm. What is the distance between them (in cm)?
18. 18.Write 1,200 in standard form as 1.2 × 10ⁿ. What is n?
19. 19.A father is 8 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
20. 20.What is ∛1000? =
21. 21.What is the value of 3⁸? =
22. 22.Find the compound interest on ₹14000 at 4% per year for 1 year, compounded every year (in ₹).
23. 23.Solve: m/3 + m/4 = 56. What is m?
24. 24.A trapezium has parallel sides of 17 cm and 26 cm, and the distance between them is 16 cm. What is its area (in square cm)?
25. 25.Find the compound interest on ₹60000 at 15% per year for 2 years, compounded every year (in ₹).
26. 26.Use (a + b)(a − b) = a² − b² to find 85 × 75.
27. 27.A cuboid is 4 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
28. 28.What is the value of 5⁶? =
29. 29.What is √3481? =
30. 30.Use a² − b² = (a + b)(a − b) to find 42² − 21².
31. 31.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
32. 32.Which of these is a perfect square? (a) 295 (b) 301 (c) 289
33. 33.What is 5³? =
34. 34.Solve: 3y + 1 = 2y + 2. What is y?
35. 35.Use a² − b² = (a + b)(a − b) to find 58² − 2².
36. 36.A trapezium has an area of 105 square cm. Its parallel sides are 27 cm and 8 cm. What is the distance between them (in cm)?
37. 37.What is ∛1331? =
38. 38.Use (a − b)² = a² − 2ab + b² to find 52².
39. 39.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
40. 40.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?

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