Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 116 · 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 the smallest whole number by which 5400 must be multiplied to get a perfect cube?
2. 2.Find the value of x² − y² when x = 12 and y = 2.
3. 3.What is √361? =
4. 4.Write 3.8 × 10⁻⁴ as a decimal. =
5. 5.What is the difference between the compound interest and the simple interest on ₹37700 at 20% per year for 2 years (in ₹)?
6. 6.The length of a rectangle is 2 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
7. 7.What is the value of 5⁴? =
8. 8.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
9. 9.What is the difference between the compound interest and the simple interest on ₹8800 at 25% per year for 2 years (in ₹)?
10. 10.The length of a rectangle is 10 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
11. 11.A room is 9 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
12. 12.Find the compound interest on ₹24000 at 15% per year for 3 years, compounded every year (in ₹).
13. 13.Use (a − b)² = a² − 2ab + b² to find 53².
14. 14.What is ∛12167? =
15. 15.Use (a − b)² = a² − 2ab + b² to find 77².
16. 16.Solve: 7m + 11 = 3m + 59. What is m?
17. 17.What is ∛125? =
18. 18.Which of these is a perfect cube? (a) 3018 (b) 2744 (c) 3192
19. 19.Use (a + b)² = a² + 2ab + b² to find 19².
20. 20.What is the value of 8⁻² (as a fraction)? =
21. 21.Use a² − b² = (a + b)(a − b) to find 40² − 35².
22. 22.The diagonals of a rhombus are 4 cm and 18 cm. What is its area (in square cm)?
23. 23.What amount will ₹32000 grow to in 3 years at 15% per year compound interest (in ₹)?
24. 24.What is the value of 3²? =
25. 25.7.6 × 10² =
26. 26.Which of these is a perfect cube? (a) 2650 (b) 2197 (c) 2572
27. 27.What amount will ₹52700 grow to in 1 year at 12% per year compound interest (in ₹)?
28. 28.A town has 54400 people. The population grows by 25% every year. What will the population be after 3 years?
29. 29.What is ∛64? =
30. 30.A room is 6 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
31. 31.What amount will ₹16900 grow to in 1 year at 8% per year compound interest (in ₹)?
32. 32.The sum of two consecutive whole numbers is 63. What is the largest of them?
33. 33.Solve: 3(x − 1) = 2x + 4. What is x?
34. 34.Write 56,00,000 in standard form as 5.6 × 10ⁿ. What is n?
35. 35.A trapezium has parallel sides of 30 cm and 23 cm, and the distance between them is 18 cm. What is its area (in square cm)?
36. 36.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
37. 37.What is the value of 5⁻³ (as a fraction)? =
38. 38.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
39. 39.Use a² − b² = (a + b)(a − b) to find 28² − 10².
40. 40.Use (a − b)² = a² − 2ab + b² to find 99².

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