Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 414 · 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 6.5 × 10⁻³ as a decimal. =
2. 2.Which of these is a perfect square? (a) 841 (b) 869 (c) 856
3. 3.What is the difference between the compound interest and the simple interest on ₹20000 at 12% per year for 2 years (in ₹)?
4. 4.What is 20³? =
5. 5.Write 9¹³ ÷ 9⁹ as a single power 9ⁿ. What is n?
6. 6.Use (a − b)² = a² − 2ab + b² to find 71².
7. 7.9.2 × 10³ =
8. 8.What is ∛216? =
9. 9.A square garden has an area of 1369 square m. How long is each side (in m)?
10. 10.Solve: 5(t − 5) = 3t + 13. What is t?
11. 11.A trapezium has an area of 150 square cm. Its parallel sides are 4 cm and 11 cm. What is the distance between them (in cm)?
12. 12.4.3 × 10³ =
13. 13.A room is 5 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
14. 14.Write 9.8 × 10⁻¹ as a decimal. =
15. 15.A father is 14 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
16. 16.Use (a + b)(a − b) = a² − b² to find 26 × 14.
17. 17.What is the value of (2/5)⁻²? =
18. 18.Find the compound interest on ₹54800 at 5% per year for 2 years, compounded every year (in ₹).
19. 19.The diagonals of a rhombus are 24 cm and 24 cm. What is its area (in square cm)?
20. 20.Find the compound interest on ₹60000 at 8% per year for 2 years, compounded every year (in ₹).
21. 21.What is the value of 10⁵ × 10⁻⁵? =
22. 22.Write 8⁹ ÷ 8³ as a single power 8ⁿ. What is n?
23. 23.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
24. 24.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
25. 25.What is the value of 3⁶? =
26. 26.What is 6³? =
27. 27.Which of these is a perfect cube? (a) 33 (b) 45 (c) 27
28. 28.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
29. 29.A cuboid is 8 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
30. 30.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
31. 31.Use a² − b² = (a + b)(a − b) to find 92² − 19².
32. 32.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
33. 33.Write 2.9 × 10⁻³ as a decimal. =
34. 34.What is √900? =
35. 35.The diagonals of a rhombus are 10 cm and 22 cm. What is its area (in square cm)?
36. 36.Which of these is a perfect square? (a) 920 (b) 900 (c) 950
37. 37.What is ∛4096? =
38. 38.How many whole numbers lie between 30² and 31²?
39. 39.A trapezium has an area of 90 square cm. Its parallel sides are 12 cm and 6 cm. What is the distance between them (in cm)?
40. 40.Use (a + b)(a − b) = a² − b² to find 52 × 48.

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