Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 491 · 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 ∛4913? =
2. 2.What is the difference between the compound interest and the simple interest on ₹45000 at 4% per year for 2 years (in ₹)?
3. 3.A town has 50400 people. The population grows by 15% every year. What will the population be after 2 years?
4. 4.What is ∛216? =
5. 5.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
6. 6.What is the value of 4³? =
7. 7.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
8. 8.Use a² − b² = (a + b)(a − b) to find 50² − 28².
9. 9.What is the value of 2⁻¹ (as a fraction)? =
10. 10.A square garden has an area of 36 square m. How long is each side (in m)?
11. 11.What is 15³? =
12. 12.Find the compound interest on ₹2500 at 12% per year for 2 years, compounded every year (in ₹).
13. 13.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
14. 14.The diagonals of a rhombus are 14 cm and 12 cm. What is its area (in square cm)?
15. 15.Find the value of x² + 2xy + y² when x = 7 and y = 2.
16. 16.Which of these is a perfect square? (a) 1296 (b) 1367 (c) 1327
17. 17.Which of these is a perfect square? (a) 136 (b) 121 (c) 139
18. 18.A trapezium has an area of 100 square cm. Its parallel sides are 27 cm and 13 cm. What is the distance between them (in cm)?
19. 19.Use a² − b² = (a + b)(a − b) to find 58² − 33².
20. 20.What is ∛512? =
21. 21.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
22. 22.Write 3 × 10⁻¹ as a decimal. =
23. 23.The sum of three consecutive whole numbers is 48. What is the largest of them?
24. 24.A room is 4 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
25. 25.What is 17³? =
26. 26.A square garden has an area of 25 square m. How long is each side (in m)?
27. 27.Find the value of x² + 2xy + y² when x = 10 and y = 8.
28. 28.Use (a + b)² = a² + 2ab + b² to find 67².
29. 29.The diagonals of a rhombus are 30 cm and 20 cm. What is its area (in square cm)?
30. 30.Use (a + b)(a − b) = a² − b² to find 81 × 79.
31. 31.Write (7⁴)³ as a single power 7ⁿ. What is n?
32. 32.What is the value of 10⁵? =
33. 33.Use a² − b² = (a + b)(a − b) to find 77² − 13².
34. 34.A square garden has an area of 2704 square m. How long is each side (in m)?
35. 35.Find the compound interest on ₹53900 at 25% per year for 1 year, compounded every year (in ₹).
36. 36.Find the compound interest on ₹48600 at 5% per year for 1 year, compounded every year (in ₹).
37. 37.What is √1225? =
38. 38.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
39. 39.A town has 54900 people. The population grows by 12% every year. What will the population be after 1 year?
40. 40.A square garden has an area of 2209 square m. How long is each side (in m)?

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