Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 824 · 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 70²? =
2. 2.The length of a rectangle is 5 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
3. 3.What is the value of (5/8)⁻²? =
4. 4.Which of these is a perfect square? (a) 736 (b) 765 (c) 729
5. 5.The sum of three consecutive whole numbers is 141. What is the smallest of them?
6. 6.A scooter is worth ₹18600. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
7. 7.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
8. 8.What is 56²? =
9. 9.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
10. 10.What is the value of 2⁴ × 2⁻⁶? =
11. 11.The length of a rectangle is 4 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
12. 12.Use a² − b² = (a + b)(a − b) to find 93² − 51².
13. 13.Which of these is a perfect cube? (a) 137 (b) 125 (c) 128
14. 14.What is 14³? =
15. 15.Use (a − b)² = a² − 2ab + b² to find 22².
16. 16.Which of these is a perfect cube? (a) 34 (b) 46 (c) 27
17. 17.A trapezium has parallel sides of 11 cm and 13 cm, and the distance between them is 3 cm. What is its area (in square cm)?
18. 18.What is 13³? =
19. 19.What is 16²? =
20. 20.What is the value of 5⁻² (as a fraction)? =
21. 21.Find the compound interest on ₹26000 at 20% per year for 3 years, compounded every year (in ₹).
22. 22.A cuboid is 5 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
23. 23.What is ∛13824? =
24. 24.A father is 8 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
25. 25.Write 880 in standard form as 8.8 × 10ⁿ. What is n?
26. 26.Use a² − b² = (a + b)(a − b) to find 64² − 60².
27. 27.What is the value of 2⁻³ (as a fraction)? =
28. 28.Which of these is a perfect square? (a) 385 (b) 361 (c) 376
29. 29.Find the value of x² − 2xy + y² when x = 13 and y = 2.
30. 30.Which of these is a perfect square? (a) 554 (b) 571 (c) 529
31. 31.What is 40²? =
32. 32.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
33. 33.Find the compound interest on ₹48000 at 15% per year for 3 years, compounded every year (in ₹).
34. 34.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
35. 35.Solve: 4(y − 2) = 3y + 4. What is y?
36. 36.7.5 × 10³ =
37. 37.Solve: 4(n − 4) = 3n + 3. What is n?
38. 38.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
39. 39.Write 9.5 × 10⁻⁴ as a decimal. =
40. 40.What is the smallest whole number by which 7 must be divided to get a perfect cube?

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