Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 724 · 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. 1.6.8 × 10² =
2. 2.A father is 13 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
3. 3.Write 6.3 × 10⁻³ as a decimal. =
4. 4.Find the compound interest on ₹32000 at 15% per year for 3 years, compounded every year (in ₹).
5. 5.Write 9⁴ × 9⁷ as a single power 9ⁿ. What is n?
6. 6.Use a² − b² = (a + b)(a − b) to find 84² − 10².
7. 7.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
8. 8.A trapezium has parallel sides of 12 cm and 30 cm, and the distance between them is 20 cm. What is its area (in square cm)?
9. 9.What is the value of 10² × 10⁻³? =
10. 10.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
11. 11.What is √900? =
12. 12.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
13. 13.What is the value of 7⁻² (as a fraction)? =
14. 14.Which of these is a perfect cube? (a) 512 (b) 603 (c) 604
15. 15.What is the smallest whole number by which 8 must be divided to get a perfect square?
16. 16.Find the compound interest on ₹20500 at 20% per year for 2 years, compounded every year (in ₹).
17. 17.Write 2⁷ ÷ 2⁴ as a single power 2ⁿ. What is n?
18. 18.Solve: 4n + 3 = n + 12. What is n?
19. 19.Write 1.2 × 10⁻³ as a decimal. =
20. 20.Use (a − b)² = a² − 2ab + b² to find 68².
21. 21.Find the compound interest on ₹4800 at 5% per year for 2 years, compounded every year (in ₹).
22. 22.Solve: 4n + 1 = n + 46. What is n?
23. 23.Which of these is a perfect cube? (a) 1000 (b) 1160 (c) 1181
24. 24.A room is 8 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
25. 25.Find the compound interest on ₹12600 at 8% per year for 1 year, compounded every year (in ₹).
26. 26.The length of a rectangle is 13 cm more than its width. Its perimeter is 146 cm. What is its width (in cm)?
27. 27.Write (8⁶)³ as a single power 8ⁿ. What is n?
28. 28.A square garden has an area of 100 square m. How long is each side (in m)?
29. 29.What is the difference between the compound interest and the simple interest on ₹35000 at 8% per year for 2 years (in ₹)?
30. 30.The length of a rectangle is 13 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
31. 31.A square garden has an area of 64 square m. How long is each side (in m)?
32. 32.What is the difference between the compound interest and the simple interest on ₹42000 at 10% per year for 2 years (in ₹)?
33. 33.A room is 7 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
34. 34.A square garden has an area of 2025 square m. How long is each side (in m)?
35. 35.If a + b = 9 and ab = 18, what is a² + b²?
36. 36.The sum of three consecutive whole numbers is 123. What is the smallest of them?
37. 37.Solve: 5m + 11 = m + 67. What is m?
38. 38.Solve: 7y + 17 = 4y + 23. What is y?
39. 39.What is the smallest whole number by which 3 must be divided to get a perfect cube?
40. 40.Find the compound interest on ₹24000 at 15% per year for 3 years, compounded every year (in ₹).

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