Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 412 · 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 the value of (1/3)⁻¹? =
2. 2.A scooter is worth ₹12500. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
3. 3.A town has 40000 people. The population grows by 5% every year. What will the population be after 3 years?
4. 4.A town has 30400 people. The population grows by 25% every year. What will the population be after 3 years?
5. 5.Use (a + b)² = a² + 2ab + b² to find 32².
6. 6.Find the compound interest on ₹4400 at 25% per year for 2 years, compounded every year (in ₹).
7. 7.What is the smallest whole number by which 432 must be divided to get a perfect cube?
8. 8.A father is 18 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
9. 9.Solve: 6(n − 2) = n + 58. What is n?
10. 10.A town has 26000 people. The population grows by 10% every year. What will the population be after 2 years?
11. 11.What is the value of (2/3)⁻¹? =
12. 12.What is 8³? =
13. 13.Solve: y/3 + y/4 = 42. What is y?
14. 14.What is the difference between the compound interest and the simple interest on ₹20000 at 8% per year for 2 years (in ₹)?
15. 15.Which of these is a perfect square? (a) 650 (b) 625 (c) 656
16. 16.What is the difference between the compound interest and the simple interest on ₹23200 at 20% per year for 2 years (in ₹)?
17. 17.What is the difference between the compound interest and the simple interest on ₹44400 at 25% per year for 2 years (in ₹)?
18. 18.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
19. 19.Solve: x/2 + x/3 = 10. What is x?
20. 20.What is the value of (3/8)⁻²? =
21. 21.What is 84²? =
22. 22.Write 2⁷ × 2² as a single power 2ⁿ. What is n?
23. 23.A cuboid is 13 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
24. 24.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
25. 25.Write 9⁵ × 9⁸ as a single power 9ⁿ. What is n?
26. 26.Which of these is a perfect cube? (a) 2744 (b) 3327 (c) 2887
27. 27.Use (a + b)² = a² + 2ab + b² to find 67².
28. 28.What is √225? =
29. 29.Use (a + b)(a − b) = a² − b² to find 88 × 72.
30. 30.The sum of four consecutive whole numbers is 62. What is the largest of them?
31. 31.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
32. 32.What is 11³? =
33. 33.Write 5.1 × 10⁻² as a decimal. =
34. 34.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
35. 35.What is the value of 2⁶ × 2⁻⁶? =
36. 36.A room is 5 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
37. 37.What amount will ₹8100 grow to in 1 year at 5% per year compound interest (in ₹)?
38. 38.A trapezium has parallel sides of 11 cm and 7 cm, and the distance between them is 13 cm. What is its area (in square cm)?
39. 39.What is 14³? =
40. 40.The sum of three consecutive whole numbers is 126. What is the smallest of them?

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