Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 253 · 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 room is 8 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
2. 2.What is the value of 4⁵? =
3. 3.Solve: 6m + 4 = m + 39. What is m?
4. 4.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
5. 5.A trapezium has parallel sides of 23 cm and 3 cm, and the distance between them is 13 cm. What is its area (in square cm)?
6. 6.What is 70²? =
7. 7.What is 14³? =
8. 8.A father is 26 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
9. 9.What is the value of 6⁵? =
10. 10.What is ∛10648? =
11. 11.Use (a + b)(a − b) = a² − b² to find 91 × 89.
12. 12.Which of these is a perfect cube? (a) 1591 (b) 1331 (c) 1538
13. 13.What is the difference between the compound interest and the simple interest on ₹55200 at 15% per year for 2 years (in ₹)?
14. 14.Use (a + b)² = a² + 2ab + b² to find 27².
15. 15.What is the difference between the compound interest and the simple interest on ₹6400 at 15% per year for 2 years (in ₹)?
16. 16.What is 97²? =
17. 17.What is 2³? =
18. 18.What is 4³? =
19. 19.Find the compound interest on ₹41800 at 20% per year for 2 years, compounded every year (in ₹).
20. 20.What is √144? =
21. 21.The sum of two consecutive whole numbers is 95. What is the smallest of them?
22. 22.What is 5³? =
23. 23.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
24. 24.A scooter is worth ₹12500. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
25. 25.Solve: t/5 + t/2 = 28. What is t?
26. 26.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
27. 27.Which of these is a perfect cube? (a) 359 (b) 343 (c) 376
28. 28.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
29. 29.Find the value of x² + 2xy + y² when x = 7 and y = 6.
30. 30.What is the value of 3⁹? =
31. 31.The sum of two consecutive whole numbers is 49. What is the smallest of them?
32. 32.What is 17³? =
33. 33.If a − b = 4 and ab = 5, what is a² + b²?
34. 34.What is ∛512? =
35. 35.What is 13³? =
36. 36.A cuboid is 4 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
37. 37.Use (a − b)² = a² − 2ab + b² to find 56².
38. 38.The diagonals of a rhombus are 20 cm and 22 cm. What is its area (in square cm)?
39. 39.Write 9⁷ ÷ 9⁵ as a single power 9ⁿ. What is n?
40. 40.Which of these is a perfect square? (a) 262 (b) 256 (c) 287

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