Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 590 · 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.Which of these is a perfect square? (a) 170 (b) 172 (c) 169
2. 2.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
3. 3.What is the value of (1/2)⁻¹? =
4. 4.Find the compound interest on ₹6000 at 10% per year for 3 years, compounded every year (in ₹).
5. 5.Write 5.2 × 10⁻⁴ as a decimal. =
6. 6.How many whole numbers lie between 16² and 17²?
7. 7.A room is 7 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
8. 8.A trapezium has parallel sides of 17 cm and 5 cm, and the distance between them is 14 cm. What is its area (in square cm)?
9. 9.A father is 19 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
10. 10.Which of these is a perfect square? (a) 408 (b) 440 (c) 400
11. 11.A town has 36500 people. The population grows by 20% every year. What will the population be after 3 years?
12. 12.Find the value of x² + 2xy + y² when x = 11 and y = 10.
13. 13.What is the value of 10⁵ × 10⁻⁶? =
14. 14.Find the value of x² + 2xy + y² when x = 14 and y = 1.
15. 15.What is the smallest whole number by which 25 must be divided to get a perfect cube?
16. 16.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
17. 17.Solve: 6p + 20 = p + 75. What is p?
18. 18.How many whole numbers lie between 7² and 8²?
19. 19.A trapezium has parallel sides of 26 cm and 18 cm, and the distance between them is 10 cm. What is its area (in square cm)?
20. 20.Which of these is a perfect cube? (a) 2988 (b) 2744 (c) 2945
21. 21.Use a² − b² = (a + b)(a − b) to find 44² − 18².
22. 22.How many whole numbers lie between 31² and 32²?
23. 23.Write 660 in standard form as 6.6 × 10ⁿ. What is n?
24. 24.Solve: 8m + 1 = 5m + 10. What is m?
25. 25.The length of a rectangle is 1 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
26. 26.Use (a + b)² = a² + 2ab + b² to find 42².
27. 27.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
28. 28.What is 11²? =
29. 29.2.6 × 10⁶ =
30. 30.How many whole numbers lie between 5² and 6²?
31. 31.A town has 13900 people. The population grows by 12% every year. What will the population be after 1 year?
32. 32.Find the compound interest on ₹2900 at 10% per year for 1 year, compounded every year (in ₹).
33. 33.Write 9¹⁰ ÷ 9⁸ as a single power 9ⁿ. What is n?
34. 34.Write 3⁷ ÷ 3⁴ as a single power 3ⁿ. What is n?
35. 35.What is the value of 10³? =
36. 36.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
37. 37.Which of these is a perfect cube? (a) 42 (b) 27 (c) 51
38. 38.What is the smallest whole number by which 294 must be divided to get a perfect square?
39. 39.Find the value of x² − 2xy + y² when x = 8 and y = 6.
40. 40.Write 3.8 × 10⁻¹ as a decimal. =

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