Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 453 · 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 16³? =
2. 2.Solve: 4(n − 1) = 2n + 4. What is n?
3. 3.What is the difference between the compound interest and the simple interest on ₹5000 at 12% per year for 2 years (in ₹)?
4. 4.What is the value of 2¹ × 2⁻⁵? =
5. 5.A trapezium has an area of 29 square cm. Its parallel sides are 27 cm and 2 cm. What is the distance between them (in cm)?
6. 6.What is the value of 9⁻³ (as a fraction)? =
7. 7.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
8. 8.Write 3³ × 3⁵ as a single power 3ⁿ. What is n?
9. 9.Which of these is a perfect square? (a) 1369 (b) 1436 (c) 1379
10. 10.What is the difference between the compound interest and the simple interest on ₹8000 at 5% per year for 2 years (in ₹)?
11. 11.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
12. 12.A trapezium has parallel sides of 25 cm and 12 cm, and the distance between them is 16 cm. What is its area (in square cm)?
13. 13.Use a² − b² = (a + b)(a − b) to find 70² − 41².
14. 14.What is the value of 9²? =
15. 15.Use (a − b)² = a² − 2ab + b² to find 18².
16. 16.What is ∛6859? =
17. 17.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
18. 18.8.6 × 10⁵ =
19. 19.A town has 39100 people. The population grows by 4% every year. What will the population be after 1 year?
20. 20.A town has 52800 people. The population grows by 25% every year. What will the population be after 3 years?
21. 21.Use (a + b)(a − b) = a² − b² to find 65 × 55.
22. 22.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
23. 23.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
24. 24.Find the compound interest on ₹15100 at 4% per year for 1 year, compounded every year (in ₹).
25. 25.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
26. 26.If a + b = 6 and ab = 8, what is a² + b²?
27. 27.A scooter is worth ₹39200. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
28. 28.What is the value of 8⁻² (as a fraction)? =
29. 29.Which of these is a perfect cube? (a) 3895 (b) 3635 (c) 3375
30. 30.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
31. 31.Find the value of x² − 2xy + y² when x = 15 and y = 7.
32. 32.How many whole numbers lie between 25² and 26²?
33. 33.6.8 × 10⁴ =
34. 34.What is ∛4913? =
35. 35.What is the smallest whole number by which 675 must be divided to get a perfect cube?
36. 36.Use (a + b)(a − b) = a² − b² to find 94 × 86.
37. 37.What amount will ₹28400 grow to in 2 years at 10% per year compound interest (in ₹)?
38. 38.Solve: 3(n − 1) = 2n + 11. What is n?
39. 39.Write 4,50,000 in standard form as 4.5 × 10ⁿ. What is n?
40. 40.Find the compound interest on ₹24300 at 10% per year for 1 year, compounded every year (in ₹).

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