Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 229 · 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 trapezium has parallel sides of 28 cm and 3 cm, and the distance between them is 12 cm. What is its area (in square cm)?
2. 2.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
3. 3.Find the compound interest on ₹25500 at 20% per year for 2 years, compounded every year (in ₹).
4. 4.A cuboid is 3 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
5. 5.What is the difference between the compound interest and the simple interest on ₹46800 at 20% per year for 2 years (in ₹)?
6. 6.Solve: 4(m − 5) = m + 1. What is m?
7. 7.A cuboid is 15 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
8. 8.A trapezium has an area of 63 square cm. Its parallel sides are 8 cm and 6 cm. What is the distance between them (in cm)?
9. 9.Write 9.5 × 10⁻⁴ as a decimal. =
10. 10.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
11. 11.What is 11³? =
12. 12.What is the smallest whole number by which 16 must be divided to get a perfect cube?
13. 13.Find the compound interest on ₹25600 at 25% per year for 3 years, compounded every year (in ₹).
14. 14.Write 3 × 10⁻⁴ as a decimal. =
15. 15.If a + b = 13 and ab = 36, what is a² + b²?
16. 16.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
17. 17.Use (a − b)² = a² − 2ab + b² to find 39².
18. 18.What is the smallest whole number by which 245 must be multiplied to get a perfect square?
19. 19.Write 6.8 × 10⁻¹ as a decimal. =
20. 20.Write 5¹⁰ ÷ 5⁴ as a single power 5ⁿ. What is n?
21. 21.Use (a + b)(a − b) = a² − b² to find 43 × 37.
22. 22.Which of these is a perfect square? (a) 779 (b) 729 (c) 736
23. 23.What is 20³? =
24. 24.Solve: m/3 + m/4 = 56. What is m?
25. 25.Solve: x/5 + x/2 = 49. What is x?
26. 26.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
27. 27.Use (a − b)² = a² − 2ab + b² to find 49².
28. 28.Use (a + b)(a − b) = a² − b² to find 101 × 99.
29. 29.Find the compound interest on ₹51000 at 10% per year for 3 years, compounded every year (in ₹).
30. 30.Solve: 7m + 13 = 3m + 41. What is m?
31. 31.A town has 4800 people. The population grows by 25% every year. What will the population be after 3 years?
32. 32.What is the value of 2⁵ × 2⁻⁴? =
33. 33.What is the value of 4²? =
34. 34.Find the compound interest on ₹48000 at 5% per year for 3 years, compounded every year (in ₹).
35. 35.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
36. 36.Which of these is a perfect cube? (a) 51 (b) 27 (c) 47
37. 37.Use (a + b)(a − b) = a² − b² to find 109 × 91.
38. 38.A room is 9 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
39. 39.What is the value of 2⁸? =
40. 40.A trapezium has an area of 165 square cm. Its parallel sides are 5 cm and 25 cm. What is the distance between them (in cm)?

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