Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 516 · 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.How many whole numbers lie between 16² and 17²?
2. 2.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
3. 3.A town has 12400 people. The population grows by 25% every year. What will the population be after 1 year?
4. 4.Solve: 6(p − 2) = 5p + 12. What is p?
5. 5.Use (a − b)² = a² − 2ab + b² to find 38².
6. 6.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
7. 7.What is ∛125? =
8. 8.A trapezium has parallel sides of 15 cm and 11 cm, and the distance between them is 7 cm. What is its area (in square cm)?
9. 9.Which of these is a perfect square? (a) 606 (b) 576 (c) 615
10. 10.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
11. 11.Use (a + b)² = a² + 2ab + b² to find 46².
12. 12.Use a² − b² = (a + b)(a − b) to find 27² − 25².
13. 13.A trapezium has an area of 187 square cm. Its parallel sides are 23 cm and 11 cm. What is the distance between them (in cm)?
14. 14.Solve: 6n + 6 = 4n + 10. What is n?
15. 15.Write 7.6 × 10⁻⁴ as a decimal. =
16. 16.If a − b = 3 and ab = 10, what is a² + b²?
17. 17.A square garden has an area of 64 square m. How long is each side (in m)?
18. 18.Use (a − b)² = a² − 2ab + b² to find 78².
19. 19.What is 9³? =
20. 20.A trapezium has an area of 92 square cm. Its parallel sides are 27 cm and 19 cm. What is the distance between them (in cm)?
21. 21.If a − b = 6 and ab = 16, what is a² + b²?
22. 22.Which of these is a perfect square? (a) 144 (b) 148 (c) 145
23. 23.Use a² − b² = (a + b)(a − b) to find 96² − 23².
24. 24.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
25. 25.Use (a + b)² = a² + 2ab + b² to find 39².
26. 26.A father is 11 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
27. 27.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
28. 28.What is the value of 5⁻¹ (as a fraction)? =
29. 29.The diagonals of a rhombus are 30 cm and 4 cm. What is its area (in square cm)?
30. 30.Write (6⁴)² as a single power 6ⁿ. What is n?
31. 31.Solve: m/2 + m/3 = 30. What is m?
32. 32.2.2 × 10⁷ =
33. 33.Write 2¹⁵ ÷ 2⁷ as a single power 2ⁿ. What is n?
34. 34.What is ∛512? =
35. 35.Which of these is a perfect square? (a) 441 (b) 454 (c) 447
36. 36.3.6 × 10⁵ =
37. 37.What is the difference between the compound interest and the simple interest on ₹49200 at 25% per year for 2 years (in ₹)?
38. 38.What is √676? =
39. 39.Solve: 5t + 20 = 4t + 31. What is t?
40. 40.A square garden has an area of 529 square m. How long is each side (in m)?

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