Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 81 · 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 2⁻³ (as a fraction)? =
2. 2.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
3. 3.A cuboid is 8 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
4. 4.A cuboid is 5 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
5. 5.Which of these is a perfect cube? (a) 40 (b) 44 (c) 27
6. 6.Find the value of x² − y² when x = 5 and y = 4.
7. 7.What is ∛512? =
8. 8.A scooter is worth ₹56500. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
9. 9.Solve: n/2 + n/6 = 20. What is n?
10. 10.The length of a rectangle is 13 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
11. 11.A room is 7 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
12. 12.Write 5.7 × 10⁻² as a decimal. =
13. 13.The length of a rectangle is 2 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
14. 14.Use a² − b² = (a + b)(a − b) to find 63² − 22².
15. 15.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
16. 16.Solve: 3(x − 1) = 2x + 7. What is x?
17. 17.Use (a + b)² = a² + 2ab + b² to find 47².
18. 18.Which of these is a perfect cube? (a) 2744 (b) 3330 (c) 2813
19. 19.The diagonals of a rhombus are 10 cm and 6 cm. What is its area (in square cm)?
20. 20.The sum of three consecutive whole numbers is 120. What is the smallest of them?
21. 21.Write 7.3 × 10⁻⁴ as a decimal. =
22. 22.Find the value of x² − 2xy + y² when x = 5 and y = 1.
23. 23.Solve: 3n + 3 = n + 31. What is n?
24. 24.Use a² − b² = (a + b)(a − b) to find 79² − 9².
25. 25.A square garden has an area of 1600 square m. How long is each side (in m)?
26. 26.A father is 34 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
27. 27.Solve: 8x + 16 = 4x + 28. What is x?
28. 28.What is √2601? =
29. 29.Use (a + b)² = a² + 2ab + b² to find 67².
30. 30.Solve: y/3 + y/5 = 32. What is y?
31. 31.What is the smallest whole number by which 32 must be divided to get a perfect cube?
32. 32.What is the difference between the compound interest and the simple interest on ₹58300 at 20% per year for 2 years (in ₹)?
33. 33.Find the compound interest on ₹32100 at 25% per year for 1 year, compounded every year (in ₹).
34. 34.Use (a + b)² = a² + 2ab + b² to find 71².
35. 35.Write 2⁸ × 2² as a single power 2ⁿ. What is n?
36. 36.Use (a + b)(a − b) = a² − b² to find 65 × 55.
37. 37.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
38. 38.What is the difference between the compound interest and the simple interest on ₹57500 at 12% per year for 2 years (in ₹)?
39. 39.Write 4² × 4² as a single power 4ⁿ. What is n?
40. 40.A father is 54 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?

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