Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 342 · 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.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
2. 2.What is √5041? =
3. 3.Which of these is a perfect cube? (a) 414 (b) 343 (c) 422
4. 4.Use (a − b)² = a² − 2ab + b² to find 84².
5. 5.What is ∛4913? =
6. 6.A trapezium has parallel sides of 9 cm and 11 cm, and the distance between them is 3 cm. What is its area (in square cm)?
7. 7.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
8. 8.The length of a rectangle is 2 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
9. 9.A square garden has an area of 1681 square m. How long is each side (in m)?
10. 10.What is √576? =
11. 11.What is 22²? =
12. 12.A scooter is worth ₹55500. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
13. 13.What is ∛64? =
14. 14.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
15. 15.What is √6084? =
16. 16.Find the compound interest on ₹57500 at 8% per year for 1 year, compounded every year (in ₹).
17. 17.If a − b = 9 and ab = 22, what is a² + b²?
18. 18.Which of these is a perfect square? (a) 1575 (b) 1521 (c) 1567
19. 19.The sum of three consecutive whole numbers is 75. What is the largest of them?
20. 20.A cuboid is 15 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
21. 21.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
22. 22.Find the compound interest on ₹35600 at 10% per year for 2 years, compounded every year (in ₹).
23. 23.What is ∛343? =
24. 24.The sum of three consecutive whole numbers is 45. What is the largest of them?
25. 25.A room is 9 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
26. 26.Use a² − b² = (a + b)(a − b) to find 46² − 3².
27. 27.Use a² − b² = (a + b)(a − b) to find 60² − 3².
28. 28.Solve: 4x + 9 = x + 12. What is x?
29. 29.Which of these is a perfect square? (a) 576 (b) 587 (c) 589
30. 30.Write 8.5 × 10⁻¹ as a decimal. =
31. 31.What is √6561? =
32. 32.Write 6.9 × 10⁻² as a decimal. =
33. 33.A trapezium has parallel sides of 8 cm and 14 cm, and the distance between them is 7 cm. What is its area (in square cm)?
34. 34.What is the value of 10¹ × 10⁻⁴? =
35. 35.6.9 × 10⁶ =
36. 36.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
37. 37.Find the compound interest on ₹45000 at 10% per year for 3 years, compounded every year (in ₹).
38. 38.What is √144? =
39. 39.Find the value of x² + 2xy + y² when x = 4 and y = 1.
40. 40.Use (a + b)² = a² + 2ab + b² to find 57².

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