Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 251 · 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.Write 5¹⁴ ÷ 5⁷ as a single power 5ⁿ. What is n?
2. 2.What is the value of (4/5)⁻¹? =
3. 3.The diagonals of a rhombus are 10 cm and 19 cm. What is its area (in square cm)?
4. 4.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
5. 5.Use (a + b)(a − b) = a² − b² to find 106 × 94.
6. 6.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
7. 7.Use a² − b² = (a + b)(a − b) to find 23² − 13².
8. 8.Solve: 5(y − 2) = 3y + 20. What is y?
9. 9.A cuboid is 8 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
10. 10.Solve: 3t + 1 = t + 5. What is t?
11. 11.A room is 10 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
12. 12.What is 20³? =
13. 13.A cuboid is 14 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
14. 14.Write 2.8 × 10⁻³ as a decimal. =
15. 15.A father is 30 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
16. 16.A trapezium has an area of 380 square cm. Its parallel sides are 11 cm and 29 cm. What is the distance between them (in cm)?
17. 17.A town has 25800 people. The population grows by 25% every year. What will the population be after 1 year?
18. 18.Write 1.9 × 10⁻¹ as a decimal. =
19. 19.A town has 37600 people. The population grows by 5% every year. What will the population be after 1 year?
20. 20.What is the difference between the compound interest and the simple interest on ₹27500 at 10% per year for 2 years (in ₹)?
21. 21.What is ∛27? =
22. 22.If a − b = 4 and ab = 12, what is a² + b²?
23. 23.Find the compound interest on ₹16000 at 5% per year for 3 years, compounded every year (in ₹).
24. 24.If a − b = 3 and ab = 40, what is a² + b²?
25. 25.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
26. 26.What is √2809? =
27. 27.Solve: n/6 + n/5 = 55. What is n?
28. 28.The sum of three consecutive whole numbers is 111. What is the smallest of them?
29. 29.Use a² − b² = (a + b)(a − b) to find 64² − 12².
30. 30.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
31. 31.The diagonals of a rhombus are 26 cm and 8 cm. What is its area (in square cm)?
32. 32.Use a² − b² = (a + b)(a − b) to find 87² − 23².
33. 33.Solve: 9x + 17 = 4x + 47. What is x?
34. 34.What amount will ₹3400 grow to in 1 year at 12% per year compound interest (in ₹)?
35. 35.Write 8⁸ × 8⁴ as a single power 8ⁿ. What is n?
36. 36.A town has 25200 people. The population grows by 4% every year. What will the population be after 1 year?
37. 37.How many whole numbers lie between 17² and 18²?
38. 38.What is the value of 2⁵ × 2⁻⁵? =
39. 39.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
40. 40.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?

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