Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 853 · 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) 144 (b) 163 (c) 154
2. 2.Find the compound interest on ₹52000 at 5% per year for 1 year, compounded every year (in ₹).
3. 3.Write 6⁹ × 6⁴ as a single power 6ⁿ. What is n?
4. 4.How many whole numbers lie between 38² and 39²?
5. 5.A town has 51600 people. The population grows by 8% every year. What will the population be after 1 year?
6. 6.A father is 33 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
7. 7.What is the value of 2⁷? =
8. 8.Find the value of x² − y² when x = 8 and y = 4.
9. 9.Find the compound interest on ₹59400 at 12% per year for 1 year, compounded every year (in ₹).
10. 10.Which of these is a perfect square? (a) 536 (b) 551 (c) 529
11. 11.What is the value of 8⁻³ (as a fraction)? =
12. 12.What is the value of 5⁶ × 5⁻⁴? =
13. 13.Solve: 8n + 7 = 4n + 55. What is n?
14. 14.The diagonals of a rhombus are 10 cm and 12 cm. What is its area (in square cm)?
15. 15.What is the value of 4⁸? =
16. 16.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
17. 17.Use (a + b)(a − b) = a² − b² to find 32 × 28.
18. 18.What is the value of 3³? =
19. 19.Use (a − b)² = a² − 2ab + b² to find 63².
20. 20.Find the compound interest on ₹12900 at 12% per year for 1 year, compounded every year (in ₹).
21. 21.What is 13³? =
22. 22.Use (a + b)² = a² + 2ab + b² to find 42².
23. 23.Solve: 6(n − 4) = 3n + 21. What is n?
24. 24.Find the compound interest on ₹11200 at 25% per year for 3 years, compounded every year (in ₹).
25. 25.A scooter is worth ₹25000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
26. 26.What is 4³? =
27. 27.Solve: 3(x − 5) = x + 7. What is x?
28. 28.Which of these is a perfect square? (a) 196 (b) 212 (c) 202
29. 29.Which of these is a perfect square? (a) 676 (b) 695 (c) 723
30. 30.Use (a − b)² = a² − 2ab + b² to find 84².
31. 31.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
32. 32.What is the smallest whole number by which 16 must be divided to get a perfect cube?
33. 33.9.2 × 10⁴ =
34. 34.Which of these is a perfect cube? (a) 629 (b) 698 (c) 512
35. 35.A trapezium has parallel sides of 7 cm and 19 cm, and the distance between them is 13 cm. What is its area (in square cm)?
36. 36.What is 70²? =
37. 37.What is 11³? =
38. 38.A square garden has an area of 2601 square m. How long is each side (in m)?
39. 39.Write 3.4 × 10⁻³ as a decimal. =
40. 40.Write 3³ × 3⁶ as a single power 3ⁿ. What is n?

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