Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 774 · 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.Use (a − b)² = a² − 2ab + b² to find 21².
2. 2.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
3. 3.What is √8464? =
4. 4.What is ∛9261? =
5. 5.Use (a − b)² = a² − 2ab + b² to find 46².
6. 6.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
7. 7.What is the value of (7/9)⁻²? =
8. 8.A square garden has an area of 1156 square m. How long is each side (in m)?
9. 9.Find the compound interest on ₹57600 at 10% per year for 2 years, compounded every year (in ₹).
10. 10.What is the value of 10⁴? =
11. 11.A town has 38800 people. The population grows by 25% every year. What will the population be after 2 years?
12. 12.Find the compound interest on ₹36500 at 8% per year for 1 year, compounded every year (in ₹).
13. 13.Which of these is a perfect cube? (a) 372 (b) 467 (c) 343
14. 14.What is 65²? =
15. 15.What is 15²? =
16. 16.What is the value of 5⁶? =
17. 17.What is √324? =
18. 18.Solve: x/4 + x/6 = 40. What is x?
19. 19.What is 13³? =
20. 20.A trapezium has parallel sides of 4 cm and 22 cm, and the distance between them is 2 cm. What is its area (in square cm)?
21. 21.What is the value of 2³ × 2⁻⁵? =
22. 22.The length of a rectangle is 6 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
23. 23.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
24. 24.The length of a rectangle is 15 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
25. 25.The sum of four consecutive whole numbers is 70. What is the largest of them?
26. 26.Use a² − b² = (a + b)(a − b) to find 67² − 35².
27. 27.What is the smallest whole number by which 90 must be divided to get a perfect square?
28. 28.What is the value of 2² × 2⁻⁶? =
29. 29.The sum of four consecutive whole numbers is 58. What is the smallest of them?
30. 30.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
31. 31.Write 2.5 × 10⁻³ as a decimal. =
32. 32.The length of a rectangle is 10 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
33. 33.Write 4.4 × 10⁻¹ as a decimal. =
34. 34.What is 24²? =
35. 35.What is √5476? =
36. 36.Use (a + b)² = a² + 2ab + b² to find 102².
37. 37.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
38. 38.A trapezium has an area of 258 square cm. Its parallel sides are 23 cm and 20 cm. What is the distance between them (in cm)?
39. 39.A trapezium has an area of 91 square cm. Its parallel sides are 6 cm and 20 cm. What is the distance between them (in cm)?
40. 40.Use a² − b² = (a + b)(a − b) to find 55² − 33².

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