Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 803 · 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 8³? =
2. 2.Use (a + b)(a − b) = a² − b² to find 67 × 53.
3. 3.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
4. 4.What is ∛12167? =
5. 5.A trapezium has parallel sides of 26 cm and 18 cm, and the distance between them is 6 cm. What is its area (in square cm)?
6. 6.Write 6⁸ × 6⁵ as a single power 6ⁿ. What is n?
7. 7.What is 10³? =
8. 8.A trapezium has an area of 87 square cm. Its parallel sides are 6 cm and 23 cm. What is the distance between them (in cm)?
9. 9.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
10. 10.What is the smallest whole number by which 392 must be divided to get a perfect cube?
11. 11.Solve: 9y + 3 = 5y + 47. What is y?
12. 12.The diagonals of a rhombus are 6 cm and 17 cm. What is its area (in square cm)?
13. 13.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
14. 14.Use (a + b)² = a² + 2ab + b² to find 55².
15. 15.Find the compound interest on ₹45000 at 4% per year for 2 years, compounded every year (in ₹).
16. 16.Find the compound interest on ₹19000 at 5% per year for 1 year, compounded every year (in ₹).
17. 17.Which of these is a perfect cube? (a) 109 (b) 112 (c) 64
18. 18.Write (3³)⁹ as a single power 3ⁿ. What is n?
19. 19.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
20. 20.If a + b = 6 and ab = 5, what is a² + b²?
21. 21.Write 3⁵ ÷ 3³ as a single power 3ⁿ. What is n?
22. 22.Find the compound interest on ₹27200 at 25% per year for 3 years, compounded every year (in ₹).
23. 23.The length of a rectangle is 4 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
24. 24.A trapezium has parallel sides of 10 cm and 5 cm, and the distance between them is 12 cm. What is its area (in square cm)?
25. 25.Use a² − b² = (a + b)(a − b) to find 86² − 5².
26. 26.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
27. 27.What is the smallest whole number by which 192 must be divided to get a perfect cube?
28. 28.Find the compound interest on ₹14500 at 8% per year for 1 year, compounded every year (in ₹).
29. 29.What is the difference between the compound interest and the simple interest on ₹27500 at 8% per year for 2 years (in ₹)?
30. 30.Find the compound interest on ₹40000 at 10% per year for 3 years, compounded every year (in ₹).
31. 31.Write 2 × 10⁻³ as a decimal. =
32. 32.If a − b = 1 and ab = 72, what is a² + b²?
33. 33.Use (a − b)² = a² − 2ab + b² to find 27².
34. 34.What is the value of (1/8)⁻¹? =
35. 35.Find the compound interest on ₹15000 at 20% per year for 3 years, compounded every year (in ₹).
36. 36.If a + b = 6 and ab = 8, what is a² + b²?
37. 37.The diagonals of a rhombus are 10 cm and 3 cm. What is its area (in square cm)?
38. 38.A cuboid is 14 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
39. 39.How many whole numbers lie between 34² and 35²?
40. 40.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets