Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 729 · 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.Which of these is a perfect cube? (a) 135 (b) 125 (c) 196
2. 2.Use (a + b)² = a² + 2ab + b² to find 87².
3. 3.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
4. 4.What is the value of 3⁵ × 3⁻¹? =
5. 5.Use a² − b² = (a + b)(a − b) to find 26² − 21².
6. 6.What amount will ₹44800 grow to in 2 years at 25% per year compound interest (in ₹)?
7. 7.What is the value of 6⁵? =
8. 8.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
9. 9.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
10. 10.Solve: 6m + 2 = 2m + 62. What is m?
11. 11.The length of a rectangle is 12 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
12. 12.Solve: 8t + 8 = 3t + 43. What is t?
13. 13.What is the smallest whole number by which 405 must be multiplied to get a perfect square?
14. 14.What is ∛216? =
15. 15.Solve: 6(n − 1) = 5n + 6. What is n?
16. 16.Use a² − b² = (a + b)(a − b) to find 29² − 15².
17. 17.The length of a rectangle is 6 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
18. 18.What is the value of 2² × 2⁻¹? =
19. 19.What is 40²? =
20. 20.Use (a − b)² = a² − 2ab + b² to find 35².
21. 21.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
22. 22.What is the value of 5⁵ × 5⁻³? =
23. 23.What is 3³? =
24. 24.A town has 24000 people. The population grows by 15% every year. What will the population be after 3 years?
25. 25.Which of these is a perfect square? (a) 945 (b) 900 (c) 925
26. 26.What is the value of 6⁴? =
27. 27.A square garden has an area of 961 square m. How long is each side (in m)?
28. 28.The length of a rectangle is 15 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
29. 29.Write 5.1 × 10⁻³ as a decimal. =
30. 30.How many whole numbers lie between 9² and 10²?
31. 31.What is 12³? =
32. 32.Use (a + b)² = a² + 2ab + b² to find 47².
33. 33.The diagonals of a rhombus are 8 cm and 14 cm. What is its area (in square cm)?
34. 34.A room is 5 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
35. 35.Solve: t/2 + t/5 = 14. What is t?
36. 36.What is the difference between the compound interest and the simple interest on ₹35000 at 8% per year for 2 years (in ₹)?
37. 37.What amount will ₹27300 grow to in 1 year at 20% per year compound interest (in ₹)?
38. 38.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
39. 39.A trapezium has an area of 50 square cm. Its parallel sides are 5 cm and 15 cm. What is the distance between them (in cm)?
40. 40.A father is 54 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?

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