Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 902 · 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 ∛729? =
2. 2.Write (7⁹)² as a single power 7ⁿ. What is n?
3. 3.What is the value of 5⁻³ (as a fraction)? =
4. 4.Use (a − b)² = a² − 2ab + b² to find 51².
5. 5.Solve: 3(m − 2) = 2m + 12. What is m?
6. 6.9.5 × 10² =
7. 7.What is 5³? =
8. 8.Find the value of x² + 2xy + y² when x = 4 and y = 3.
9. 9.Which of these is a perfect square? (a) 1024 (b) 1054 (c) 1076
10. 10.A trapezium has an area of 102 square cm. Its parallel sides are 7 cm and 5 cm. What is the distance between them (in cm)?
11. 11.The sum of four consecutive whole numbers is 178. What is the smallest of them?
12. 12.What is the value of 2⁹? =
13. 13.What amount will ₹35100 grow to in 1 year at 25% per year compound interest (in ₹)?
14. 14.What is √676? =
15. 15.What is the value of 3⁵? =
16. 16.What is the value of 4⁻³ (as a fraction)? =
17. 17.What is the difference between the compound interest and the simple interest on ₹34400 at 25% per year for 2 years (in ₹)?
18. 18.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
19. 19.Which of these is a perfect cube? (a) 88 (b) 64 (c) 65
20. 20.A square garden has an area of 576 square m. How long is each side (in m)?
21. 21.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
22. 22.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
23. 23.Write 3⁹ × 3⁶ as a single power 3ⁿ. What is n?
24. 24.Find the compound interest on ₹5400 at 5% per year for 1 year, compounded every year (in ₹).
25. 25.What is ∛512? =
26. 26.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
27. 27.Which of these is a perfect square? (a) 400 (b) 413 (c) 415
28. 28.A square garden has an area of 169 square m. How long is each side (in m)?
29. 29.Find the value of x² − y² when x = 15 and y = 3.
30. 30.What is the value of 2¹⁰? =
31. 31.Find the compound interest on ₹38400 at 5% per year for 1 year, compounded every year (in ₹).
32. 32.A town has 8000 people. The population grows by 15% every year. What will the population be after 3 years?
33. 33.Use a² − b² = (a + b)(a − b) to find 53² − 29².
34. 34.What is the value of 2⁻⁴ (as a fraction)? =
35. 35.What is the value of 3³? =
36. 36.A father is 16 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?
37. 37.Which of these is a perfect cube? (a) 1029 (b) 1000 (c) 1060
38. 38.What is the value of 3⁸? =
39. 39.A square garden has an area of 900 square m. How long is each side (in m)?
40. 40.Find the compound interest on ₹8000 at 5% per year for 3 years, compounded every year (in ₹).

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