Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 31 · 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 cube? (a) 1876 (b) 1728 (c) 2088
2. 2.The length of a rectangle is 14 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
3. 3.Write 3⁹ × 3⁷ as a single power 3ⁿ. What is n?
4. 4.Which of these is a perfect square? (a) 677 (b) 676 (c) 719
5. 5.What is the value of 2¹⁵? =
6. 6.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
7. 7.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
8. 8.A cuboid is 13 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
9. 9.A room is 12 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
10. 10.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
11. 11.What is the value of 2⁻⁴ (as a fraction)? =
12. 12.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
13. 13.A father is 15 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
14. 14.The length of a rectangle is 9 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
15. 15.Solve: 9n + 9 = 4n + 14. What is n?
16. 16.Solve: 6n + 20 = n + 50. What is n?
17. 17.What is the value of 3²? =
18. 18.Find the compound interest on ₹20200 at 10% per year for 1 year, compounded every year (in ₹).
19. 19.What is ∛9261? =
20. 20.Use (a − b)² = a² − 2ab + b² to find 39².
21. 21.Write (9⁵)⁴ as a single power 9ⁿ. What is n?
22. 22.Which of these is a perfect square? (a) 289 (b) 296 (c) 323
23. 23.Which of these is a perfect cube? (a) 2518 (b) 2197 (c) 2362
24. 24.Find the value of x² + 2xy + y² when x = 4 and y = 3.
25. 25.What is √1369? =
26. 26.The length of a rectangle is 14 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
27. 27.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
28. 28.A trapezium has an area of 55 square cm. Its parallel sides are 27 cm and 28 cm. What is the distance between them (in cm)?
29. 29.What is ∛64? =
30. 30.A trapezium has an area of 88 square cm. Its parallel sides are 23 cm and 21 cm. What is the distance between them (in cm)?
31. 31.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
32. 32.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
33. 33.If a + b = 19 and ab = 90, what is a² + b²?
34. 34.Find the compound interest on ₹8000 at 15% per year for 3 years, compounded every year (in ₹).
35. 35.What is 84²? =
36. 36.Which of these is a perfect cube? (a) 1255 (b) 1000 (c) 1297
37. 37.Write 40,00,000 in standard form as 4 × 10ⁿ. What is n?
38. 38.Solve: 4m + 19 = 3m + 33. What is m?
39. 39.Use (a + b)² = a² + 2ab + b² to find 11².
40. 40.Use a² − b² = (a + b)(a − b) to find 88² − 26².

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