Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 483 · 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.Use (a + b)² = a² + 2ab + b² to find 77².
2. 2.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
3. 3.What is ∛729? =
4. 4.A father is 27 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?
5. 5.Find the compound interest on ₹9000 at 10% per year for 3 years, compounded every year (in ₹).
6. 6.Solve: y/6 + y/5 = 22. What is y?
7. 7.What is the value of 3⁵? =
8. 8.Find the value of x² + 2xy + y² when x = 11 and y = 8.
9. 9.What is 9³? =
10. 10.Find the compound interest on ₹11600 at 5% per year for 2 years, compounded every year (in ₹).
11. 11.The length of a rectangle is 1 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
12. 12.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
13. 13.Use a² − b² = (a + b)(a − b) to find 28² − 20².
14. 14.The length of a rectangle is 6 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
15. 15.The sum of four consecutive whole numbers is 130. What is the largest of them?
16. 16.Use (a − b)² = a² − 2ab + b² to find 33².
17. 17.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
18. 18.Find the compound interest on ₹56400 at 15% per year for 2 years, compounded every year (in ₹).
19. 19.The sum of two consecutive whole numbers is 81. What is the smallest of them?
20. 20.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
21. 21.A town has 48000 people. The population grows by 5% every year. What will the population be after 3 years?
22. 22.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
23. 23.What is the value of 6⁻³ (as a fraction)? =
24. 24.A cuboid is 5 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
25. 25.What is the value of 3⁻⁵ (as a fraction)? =
26. 26.A trapezium has an area of 99 square cm. Its parallel sides are 7 cm and 4 cm. What is the distance between them (in cm)?
27. 27.Write 1.7 × 10⁻⁴ as a decimal. =
28. 28.Write (9⁶)² as a single power 9ⁿ. What is n?
29. 29.Write 8 × 10⁻⁴ as a decimal. =
30. 30.The diagonals of a rhombus are 30 cm and 19 cm. What is its area (in square cm)?
31. 31.A scooter is worth ₹7500. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
32. 32.Use a² − b² = (a + b)(a − b) to find 56² − 27².
33. 33.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
34. 34.A square garden has an area of 324 square m. How long is each side (in m)?
35. 35.1.5 × 10⁶ =
36. 36.Use (a + b)² = a² + 2ab + b² to find 27².
37. 37.What is ∛343? =
38. 38.Which of these is a perfect cube? (a) 1000 (b) 1035 (c) 1009
39. 39.Find the value of x² − 2xy + y² when x = 6 and y = 2.
40. 40.Find the compound interest on ₹14700 at 10% per year for 2 years, compounded every year (in ₹).

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