Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 400 · 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 value of 10⁶ × 10⁻⁴? =
2. 2.A cuboid is 12 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
3. 3.What is 77²? =
4. 4.Solve: 3p + 9 = 2p + 10. What is p?
5. 5.What is the value of 2⁶? =
6. 6.What is the value of 7⁻² (as a fraction)? =
7. 7.What is 71²? =
8. 8.What is the value of 2¹ × 2⁻³? =
9. 9.What is ∛13824? =
10. 10.The sum of two consecutive whole numbers is 61. What is the smallest of them?
11. 11.Use a² − b² = (a + b)(a − b) to find 47² − 14².
12. 12.Use (a − b)² = a² − 2ab + b² to find 38².
13. 13.What is the difference between the compound interest and the simple interest on ₹33800 at 10% per year for 2 years (in ₹)?
14. 14.A trapezium has an area of 105 square cm. Its parallel sides are 5 cm and 10 cm. What is the distance between them (in cm)?
15. 15.What amount will ₹14900 grow to in 1 year at 20% per year compound interest (in ₹)?
16. 16.What is the smallest whole number by which 392 must be divided to get a perfect cube?
17. 17.Use (a − b)² = a² − 2ab + b² to find 24².
18. 18.What is 55²? =
19. 19.What is the smallest whole number by which 325 must be multiplied to get a perfect square?
20. 20.What is 80²? =
21. 21.What is the value of 7⁴? =
22. 22.Find the value of x² + 2xy + y² when x = 15 and y = 5.
23. 23.What is the value of 2⁶ × 2⁻²? =
24. 24.What is 59²? =
25. 25.Write 5¹⁸ ÷ 5⁹ as a single power 5ⁿ. What is n?
26. 26.What is √8464? =
27. 27.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
28. 28.Find the compound interest on ₹22500 at 5% per year for 1 year, compounded every year (in ₹).
29. 29.What is the smallest whole number by which 735 must be multiplied to get a perfect square?
30. 30.What is the value of (7/9)⁻¹? =
31. 31.A trapezium has an area of 36 square cm. Its parallel sides are 18 cm and 6 cm. What is the distance between them (in cm)?
32. 32.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
33. 33.What amount will ₹6400 grow to in 1 year at 25% per year compound interest (in ₹)?
34. 34.Write (5⁵)⁸ as a single power 5ⁿ. What is n?
35. 35.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
36. 36.What is the difference between the compound interest and the simple interest on ₹6800 at 10% per year for 2 years (in ₹)?
37. 37.The sum of two consecutive whole numbers is 29. What is the smallest of them?
38. 38.The length of a rectangle is 15 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
39. 39.Use (a + b)² = a² + 2ab + b² to find 65².
40. 40.Write 5.7 × 10⁻³ as a decimal. =

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