Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 608 · 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 a² − b² = (a + b)(a − b) to find 42² − 2².
2. 2.A father is 24 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
3. 3.Which of these is a perfect cube? (a) 232 (b) 298 (c) 216
4. 4.A trapezium has parallel sides of 29 cm and 23 cm, and the distance between them is 4 cm. What is its area (in square cm)?
5. 5.What is the value of 10¹ × 10⁻⁶? =
6. 6.How many whole numbers lie between 27² and 28²?
7. 7.Use (a + b)(a − b) = a² − b² to find 73 × 67.
8. 8.What is the difference between the compound interest and the simple interest on ₹6900 at 20% per year for 2 years (in ₹)?
9. 9.What is the value of 5³ × 5⁻⁶? =
10. 10.What is ∛2197? =
11. 11.Find the value of x² + 2xy + y² when x = 3 and y = 1.
12. 12.The sum of two consecutive whole numbers is 39. What is the smallest of them?
13. 13.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
14. 14.Use (a + b)(a − b) = a² − b² to find 83 × 77.
15. 15.What is √5625? =
16. 16.What is 17³? =
17. 17.Use (a + b)(a − b) = a² − b² to find 22 × 18.
18. 18.A town has 2300 people. The population grows by 4% every year. What will the population be after 1 year?
19. 19.Which of these is a perfect square? (a) 1536 (b) 1521 (c) 1592
20. 20.Use a² − b² = (a + b)(a − b) to find 41² − 2².
21. 21.A cuboid is 14 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
22. 22.What is the value of 9²? =
23. 23.Solve: 9y + 14 = 6y + 29. What is y?
24. 24.Which of these is a perfect cube? (a) 2197 (b) 2499 (c) 2514
25. 25.What is the value of 4²? =
26. 26.Use (a + b)(a − b) = a² − b² to find 97 × 83.
27. 27.A father is 28 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
28. 28.Solve: 5(y − 2) = 2y + 23. What is y?
29. 29.Find the compound interest on ₹59100 at 20% per year for 1 year, compounded every year (in ₹).
30. 30.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
31. 31.What is the value of (4/9)⁻¹? =
32. 32.A town has 56800 people. The population grows by 5% every year. What will the population be after 2 years?
33. 33.Which of these is a perfect cube? (a) 343 (b) 410 (c) 404
34. 34.Use (a + b)(a − b) = a² − b² to find 51 × 49.
35. 35.What is 4³? =
36. 36.A father is 22 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
37. 37.Solve: 4(n − 4) = 3n + 4. What is n?
38. 38.A father is 27 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?
39. 39.What amount will ₹4600 grow to in 1 year at 25% per year compound interest (in ₹)?
40. 40.How many whole numbers lie between 10² and 11²?

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