Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 67 · 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 38²? =
2. 2.What is the value of 5² × 5⁻⁵? =
3. 3.What amount will ₹29300 grow to in 1 year at 25% per year compound interest (in ₹)?
4. 4.Which of these is a perfect square? (a) 169 (b) 185 (c) 173
5. 5.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
6. 6.What is 17³? =
7. 7.Solve: x/4 + x/5 = 36. What is x?
8. 8.Use (a − b)² = a² − 2ab + b² to find 69².
9. 9.Use a² − b² = (a + b)(a − b) to find 76² − 43².
10. 10.The length of a rectangle is 15 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
11. 11.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
12. 12.A square garden has an area of 1681 square m. How long is each side (in m)?
13. 13.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
14. 14.What is the smallest whole number by which 75 must be multiplied to get a perfect square?
15. 15.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
16. 16.What is 15³? =
17. 17.Use a² − b² = (a + b)(a − b) to find 71² − 25².
18. 18.Which of these is a perfect cube? (a) 513 (b) 512 (c) 542
19. 19.A cuboid is 6 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
20. 20.What is the value of 4⁻³ (as a fraction)? =
21. 21.A trapezium has an area of 210 square cm. Its parallel sides are 7 cm and 28 cm. What is the distance between them (in cm)?
22. 22.What is the value of 5¹ × 5⁻⁵? =
23. 23.Use (a + b)² = a² + 2ab + b² to find 72².
24. 24.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
25. 25.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
26. 26.Solve: x/2 + x/6 = 8. What is x?
27. 27.Which of these is a perfect cube? (a) 2222 (b) 2197 (c) 2456
28. 28.A cuboid is 8 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
29. 29.Write 3.1 × 10⁻³ as a decimal. =
30. 30.Use a² − b² = (a + b)(a − b) to find 83² − 13².
31. 31.What is √4761? =
32. 32.Solve: x/2 + x/6 = 24. What is x?
33. 33.Solve: 5p + 2 = 4p + 8. What is p?
34. 34.Solve: 6(m − 2) = m + 43. What is m?
35. 35.Use (a − b)² = a² − 2ab + b² to find 35².
36. 36.The diagonals of a rhombus are 28 cm and 30 cm. What is its area (in square cm)?
37. 37.How many whole numbers lie between 36² and 37²?
38. 38.Solve: 3y + 1 = y + 3. What is y?
39. 39.Which of these is a perfect cube? (a) 1660 (b) 1331 (c) 1383
40. 40.A square garden has an area of 784 square m. How long is each side (in m)?

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