Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 661 · 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.What is 5³? =
2. 2.Solve: 5(n − 3) = 2n + 39. What is n?
3. 3.Use (a + b)² = a² + 2ab + b² to find 103².
4. 4.A father is 11 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
5. 5.Write 7.4 × 10⁻² as a decimal. =
6. 6.Use (a + b)² = a² + 2ab + b² to find 104².
7. 7.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
8. 8.Which of these is a perfect cube? (a) 1598 (b) 1377 (c) 1331
9. 9.What amount will ₹56000 grow to in 3 years at 15% per year compound interest (in ₹)?
10. 10.Write 6⁹ × 6⁹ as a single power 6ⁿ. What is n?
11. 11.A trapezium has parallel sides of 22 cm and 25 cm, and the distance between them is 2 cm. What is its area (in square cm)?
12. 12.Find the compound interest on ₹8000 at 5% per year for 3 years, compounded every year (in ₹).
13. 13.What is the smallest whole number by which 96 must be divided to get a perfect square?
14. 14.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
15. 15.Find the compound interest on ₹25200 at 15% per year for 1 year, compounded every year (in ₹).
16. 16.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
17. 17.Find the compound interest on ₹8000 at 15% per year for 3 years, compounded every year (in ₹).
18. 18.A father is 8 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
19. 19.What is the value of 2⁻¹ (as a fraction)? =
20. 20.Use (a + b)² = a² + 2ab + b² to find 18².
21. 21.What is 31²? =
22. 22.A town has 19000 people. The population grows by 4% every year. What will the population be after 1 year?
23. 23.What is the value of 6⁻³ (as a fraction)? =
24. 24.A trapezium has parallel sides of 29 cm and 25 cm, and the distance between them is 17 cm. What is its area (in square cm)?
25. 25.A cuboid is 15 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
26. 26.Which of these is a perfect cube? (a) 1000 (b) 1242 (c) 1232
27. 27.Solve: t/6 + t/2 = 24. What is t?
28. 28.The sum of four consecutive whole numbers is 98. What is the smallest of them?
29. 29.Solve: 3(n − 2) = 2n + 8. What is n?
30. 30.Find the value of x² − y² when x = 9 and y = 3.
31. 31.A cuboid is 5 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
32. 32.Write 2¹⁶ ÷ 2⁹ as a single power 2ⁿ. What is n?
33. 33.Use (a − b)² = a² − 2ab + b² to find 87².
34. 34.A trapezium has parallel sides of 7 cm and 3 cm, and the distance between them is 17 cm. What is its area (in square cm)?
35. 35.What is √4624? =
36. 36.Which of these is a perfect cube? (a) 216 (b) 271 (c) 225
37. 37.What is the value of 3⁶? =
38. 38.Solve: 6(m − 4) = 5m + 7. What is m?
39. 39.Solve: m/6 + m/2 = 8. What is m?
40. 40.The diagonals of a rhombus are 26 cm and 12 cm. What is its area (in square cm)?

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