Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 215 · 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 20 cm and 18 cm, and the distance between them is 17 cm. What is its area (in square cm)?
2. 2.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
3. 3.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
4. 4.Which of these is a perfect square? (a) 1286 (b) 1287 (c) 1225
5. 5.Write 7.5 × 10⁻² as a decimal. =
6. 6.What amount will ₹47100 grow to in 1 year at 25% per year compound interest (in ₹)?
7. 7.A town has 48200 people. The population grows by 4% every year. What will the population be after 1 year?
8. 8.A scooter is worth ₹59900. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
9. 9.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
10. 10.A cuboid is 5 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
11. 11.A trapezium has an area of 25 square cm. Its parallel sides are 18 cm and 7 cm. What is the distance between them (in cm)?
12. 12.Find the compound interest on ₹14800 at 25% per year for 2 years, compounded every year (in ₹).
13. 13.The diagonals of a rhombus are 12 cm and 17 cm. What is its area (in square cm)?
14. 14.What is 14³? =
15. 15.Which of these is a perfect cube? (a) 126 (b) 198 (c) 125
16. 16.How many whole numbers lie between 29² and 30²?
17. 17.Write (2⁶)³ as a single power 2ⁿ. What is n?
18. 18.What amount will ₹44100 grow to in 2 years at 10% per year compound interest (in ₹)?
19. 19.What is 8³? =
20. 20.What is 18²? =
21. 21.What is the value of 2³ × 2⁻¹? =
22. 22.Find the value of x² − 2xy + y² when x = 4 and y = 1.
23. 23.A trapezium has an area of 52 square cm. Its parallel sides are 8 cm and 18 cm. What is the distance between them (in cm)?
24. 24.A square garden has an area of 961 square m. How long is each side (in m)?
25. 25.Solve: m/3 + m/6 = 24. What is m?
26. 26.Solve: y/5 + y/4 = 63. What is y?
27. 27.Solve: 6(y − 3) = 2y + 18. What is y?
28. 28.What is the value of 5⁵ × 5⁻⁴? =
29. 29.What is the value of 2¹ × 2⁻²? =
30. 30.What is the value of 5⁶ × 5⁻⁴? =
31. 31.How many whole numbers lie between 32² and 33²?
32. 32.Which of these is a perfect square? (a) 251 (b) 225 (c) 239
33. 33.The diagonals of a rhombus are 10 cm and 23 cm. What is its area (in square cm)?
34. 34.What is ∛27? =
35. 35.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
36. 36.Write 6³ × 6⁹ as a single power 6ⁿ. What is n?
37. 37.Use (a + b)(a − b) = a² − b² to find 63 × 57.
38. 38.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
39. 39.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
40. 40.What is 18³? =

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