Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 38 · 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 ∛64? =
2. 2.A cuboid is 8 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
3. 3.Solve: 8x + 19 = 3x + 64. What is x?
4. 4.Solve: 3x + 2 = 2x + 13. What is x?
5. 5.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
6. 6.Write 1.4 × 10⁻⁴ as a decimal. =
7. 7.Find the compound interest on ₹58000 at 10% per year for 3 years, compounded every year (in ₹).
8. 8.What amount will ₹37500 grow to in 1 year at 20% per year compound interest (in ₹)?
9. 9.Use a² − b² = (a + b)(a − b) to find 96² − 71².
10. 10.What is the smallest whole number by which 162 must be multiplied to get a perfect square?
11. 11.How many whole numbers lie between 23² and 24²?
12. 12.A father is 12 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
13. 13.Solve: 4(m − 2) = m + 1. What is m?
14. 14.1.8 × 10³ =
15. 15.Use a² − b² = (a + b)(a − b) to find 59² − 45².
16. 16.What amount will ₹42500 grow to in 2 years at 8% per year compound interest (in ₹)?
17. 17.Write 2⁹ × 2² as a single power 2ⁿ. What is n?
18. 18.How many whole numbers lie between 44² and 45²?
19. 19.What is the difference between the compound interest and the simple interest on ₹35000 at 4% per year for 2 years (in ₹)?
20. 20.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
21. 21.Solve: 6(p − 5) = 4p + 6. What is p?
22. 22.What is the smallest whole number by which 468 must be multiplied to get a perfect square?
23. 23.What is 35²? =
24. 24.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
25. 25.Which of these is a perfect cube? (a) 512 (b) 524 (c) 670
26. 26.Which of these is a perfect square? (a) 169 (b) 172 (c) 173
27. 27.What is ∛12167? =
28. 28.The length of a rectangle is 15 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
29. 29.Find the compound interest on ₹15000 at 12% per year for 2 years, compounded every year (in ₹).
30. 30.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
31. 31.The sum of three consecutive whole numbers is 144. What is the smallest of them?
32. 32.A cuboid is 14 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
33. 33.The sum of two consecutive whole numbers is 73. What is the smallest of them?
34. 34.Use (a + b)(a − b) = a² − b² to find 52 × 48.
35. 35.Write 4.5 × 10⁻² as a decimal. =
36. 36.A trapezium has parallel sides of 14 cm and 23 cm, and the distance between them is 2 cm. What is its area (in square cm)?
37. 37.The sum of three consecutive whole numbers is 21. What is the smallest of them?
38. 38.What is the smallest whole number by which 40 must be divided to get a perfect cube?
39. 39.Find the value of x² − y² when x = 9 and y = 4.
40. 40.Use (a − b)² = a² − 2ab + b² to find 69².

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