Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 831 · 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 square garden has an area of 1936 square m. How long is each side (in m)?
2. 2.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
3. 3.A trapezium has parallel sides of 4 cm and 25 cm, and the distance between them is 4 cm. What is its area (in square cm)?
4. 4.Find the compound interest on ₹52500 at 12% per year for 2 years, compounded every year (in ₹).
5. 5.7.5 × 10⁵ =
6. 6.Solve: y/3 + y/5 = 48. What is y?
7. 7.What is the value of 3⁸? =
8. 8.A scooter is worth ₹40000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
9. 9.What amount will ₹33500 grow to in 1 year at 5% per year compound interest (in ₹)?
10. 10.What is the value of 2⁹? =
11. 11.Use (a + b)(a − b) = a² − b² to find 76 × 64.
12. 12.If a − b = 4 and ab = 32, what is a² + b²?
13. 13.Use (a + b)² = a² + 2ab + b² to find 31².
14. 14.Solve: 5(m − 5) = 2m + 35. What is m?
15. 15.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
16. 16.Write 3.3 × 10⁻² as a decimal. =
17. 17.A town has 7500 people. The population grows by 12% every year. What will the population be after 2 years?
18. 18.What is 43²? =
19. 19.Write 8¹¹ ÷ 8⁴ as a single power 8ⁿ. What is n?
20. 20.The diagonals of a rhombus are 22 cm and 4 cm. What is its area (in square cm)?
21. 21.Which of these is a perfect cube? (a) 1331 (b) 1401 (c) 1531
22. 22.Use (a + b)(a − b) = a² − b² to find 95 × 85.
23. 23.A trapezium has parallel sides of 20 cm and 6 cm, and the distance between them is 6 cm. What is its area (in square cm)?
24. 24.What is the value of 2¹¹? =
25. 25.What is 84²? =
26. 26.Write 4,500 in standard form as 4.5 × 10ⁿ. What is n?
27. 27.If a + b = 14 and ab = 24, what is a² + b²?
28. 28.Solve: 6y + 8 = 2y + 64. What is y?
29. 29.A square garden has an area of 400 square m. How long is each side (in m)?
30. 30.A trapezium has an area of 128 square cm. Its parallel sides are 18 cm and 14 cm. What is the distance between them (in cm)?
31. 31.What amount will ₹32000 grow to in 3 years at 5% per year compound interest (in ₹)?
32. 32.Use a² − b² = (a + b)(a − b) to find 21² − 4².
33. 33.What is the difference between the compound interest and the simple interest on ₹14000 at 15% per year for 2 years (in ₹)?
34. 34.Which of these is a perfect cube? (a) 158 (b) 125 (c) 192
35. 35.Use (a + b)(a − b) = a² − b² to find 56 × 44.
36. 36.Find the compound interest on ₹12600 at 10% per year for 2 years, compounded every year (in ₹).
37. 37.What is the difference between the compound interest and the simple interest on ₹34800 at 25% per year for 2 years (in ₹)?
38. 38.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
39. 39.What is the value of 8²? =
40. 40.What amount will ₹56000 grow to in 2 years at 25% per year compound interest (in ₹)?

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