Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 814 · 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 father is 51 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
2. 2.What is 5³? =
3. 3.What is the smallest whole number by which 325 must be multiplied to get a perfect square?
4. 4.Write 3.5 × 10⁻³ as a decimal. =
5. 5.A trapezium has an area of 405 square cm. Its parallel sides are 27 cm and 18 cm. What is the distance between them (in cm)?
6. 6.If a + b = 7 and ab = 12, what is a² + b²?
7. 7.Solve: 7t + 3 = 2t + 38. What is t?
8. 8.A father is 24 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
9. 9.What amount will ₹18000 grow to in 2 years at 25% per year compound interest (in ₹)?
10. 10.Write 4¹⁵ ÷ 4⁸ as a single power 4ⁿ. What is n?
11. 11.Use a² − b² = (a + b)(a − b) to find 96² − 24².
12. 12.The sum of two consecutive whole numbers is 99. What is the largest of them?
13. 13.What is √1681? =
14. 14.A trapezium has parallel sides of 24 cm and 2 cm, and the distance between them is 16 cm. What is its area (in square cm)?
15. 15.Solve: m/2 + m/5 = 7. What is m?
16. 16.9.7 × 10⁵ =
17. 17.Solve: 4(p − 3) = 3p + 12. What is p?
18. 18.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
19. 19.What amount will ₹15600 grow to in 1 year at 15% per year compound interest (in ₹)?
20. 20.What is 64²? =
21. 21.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
22. 22.Use (a + b)(a − b) = a² − b² to find 52 × 48.
23. 23.What is √676? =
24. 24.A trapezium has parallel sides of 8 cm and 11 cm, and the distance between them is 2 cm. What is its area (in square cm)?
25. 25.How many whole numbers lie between 9² and 10²?
26. 26.The sum of two consecutive whole numbers is 105. What is the smallest of them?
27. 27.Find the compound interest on ₹13200 at 15% per year for 2 years, compounded every year (in ₹).
28. 28.If a − b = 3 and ab = 70, what is a² + b²?
29. 29.Which of these is a perfect square? (a) 1121 (b) 1143 (c) 1089
30. 30.What is 85²? =
31. 31.Use (a − b)² = a² − 2ab + b² to find 28².
32. 32.What is 16³? =
33. 33.2.7 × 10⁴ =
34. 34.What is 57²? =
35. 35.What is the difference between the compound interest and the simple interest on ₹60000 at 4% per year for 2 years (in ₹)?
36. 36.Which of these is a perfect cube? (a) 1351 (b) 1388 (c) 1331
37. 37.What is the value of 3⁴ × 3⁻²? =
38. 38.Which of these is a perfect cube? (a) 1758 (b) 1888 (c) 1728
39. 39.A square garden has an area of 324 square m. How long is each side (in m)?
40. 40.What is the difference between the compound interest and the simple interest on ₹37500 at 12% per year for 2 years (in ₹)?

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