Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 833 · 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.Solve: 6(x − 5) = 2x + 18. What is x?
2. 2.Which of these is a perfect cube? (a) 729 (b) 744 (c) 812
3. 3.What is ∛125? =
4. 4.Solve: 8p + 13 = 5p + 46. What is p?
5. 5.What amount will ₹12300 grow to in 2 years at 20% per year compound interest (in ₹)?
6. 6.What is the smallest whole number by which 72 must be multiplied to get a perfect square?
7. 7.How many whole numbers lie between 28² and 29²?
8. 8.Use (a + b)(a − b) = a² − b² to find 54 × 46.
9. 9.What is the smallest whole number by which 539 must be divided to get a perfect square?
10. 10.A father is 36 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
11. 11.Use (a − b)² = a² − 2ab + b² to find 78².
12. 12.What is 37²? =
13. 13.What is 94²? =
14. 14.The diagonals of a rhombus are 4 cm and 30 cm. What is its area (in square cm)?
15. 15.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
16. 16.What is 76²? =
17. 17.Find the compound interest on ₹50000 at 12% per year for 2 years, compounded every year (in ₹).
18. 18.Use a² − b² = (a + b)(a − b) to find 54² − 38².
19. 19.Use (a + b)² = a² + 2ab + b² to find 107².
20. 20.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
21. 21.A trapezium has parallel sides of 30 cm and 22 cm, and the distance between them is 3 cm. What is its area (in square cm)?
22. 22.What is the value of 3⁶? =
23. 23.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
24. 24.What is 67²? =
25. 25.Write 7.4 × 10⁻⁴ as a decimal. =
26. 26.What is √4900? =
27. 27.5.7 × 10⁶ =
28. 28.What is 21²? =
29. 29.A scooter is worth ₹4800. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
30. 30.Which of these is a perfect cube? (a) 3375 (b) 3866 (c) 3588
31. 31.Which of these is a perfect cube? (a) 195 (b) 153 (c) 125
32. 32.How many whole numbers lie between 7² and 8²?
33. 33.Use a² − b² = (a + b)(a − b) to find 72² − 4².
34. 34.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
35. 35.What is the difference between the compound interest and the simple interest on ₹55000 at 4% per year for 2 years (in ₹)?
36. 36.What is the value of 8⁻² (as a fraction)? =
37. 37.How many whole numbers lie between 35² and 36²?
38. 38.Solve: 4(n − 3) = 2n + 18. What is n?
39. 39.The length of a rectangle is 2 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
40. 40.What is 5³? =

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