Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 753 · 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 big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
2. 2.Write 8⁵ × 8⁷ as a single power 8ⁿ. What is n?
3. 3.What is the difference between the compound interest and the simple interest on ₹54400 at 15% per year for 2 years (in ₹)?
4. 4.Find the value of x² + 2xy + y² when x = 11 and y = 6.
5. 5.Use (a + b)² = a² + 2ab + b² to find 62².
6. 6.Find the compound interest on ₹35300 at 8% per year for 1 year, compounded every year (in ₹).
7. 7.The sum of three consecutive whole numbers is 24. What is the largest of them?
8. 8.Which of these is a perfect cube? (a) 2898 (b) 3179 (c) 2744
9. 9.Write 70,00,000 in standard form as 7 × 10ⁿ. What is n?
10. 10.The sum of two consecutive whole numbers is 47. What is the smallest of them?
11. 11.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
12. 12.Find the compound interest on ₹22400 at 25% per year for 3 years, compounded every year (in ₹).
13. 13.Which of these is a perfect square? (a) 494 (b) 507 (c) 484
14. 14.The sum of two consecutive whole numbers is 115. What is the largest of them?
15. 15.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
16. 16.How many whole numbers lie between 40² and 41²?
17. 17.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
18. 18.The length of a rectangle is 4 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
19. 19.The diagonals of a rhombus are 6 cm and 5 cm. What is its area (in square cm)?
20. 20.Use a² − b² = (a + b)(a − b) to find 77² − 19².
21. 21.What is the difference between the compound interest and the simple interest on ₹20400 at 5% per year for 2 years (in ₹)?
22. 22.A scooter is worth ₹31600. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
23. 23.What is the difference between the compound interest and the simple interest on ₹18000 at 25% per year for 2 years (in ₹)?
24. 24.What amount will ₹29800 grow to in 1 year at 4% per year compound interest (in ₹)?
25. 25.Write (3²)⁹ as a single power 3ⁿ. What is n?
26. 26.How many whole numbers lie between 12² and 13²?
27. 27.What is the value of 8⁻¹ (as a fraction)? =
28. 28.Which of these is a perfect square? (a) 625 (b) 664 (c) 648
29. 29.The length of a rectangle is 14 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
30. 30.Solve: 6(y − 4) = y + 61. What is y?
31. 31.What amount will ₹15000 grow to in 2 years at 12% per year compound interest (in ₹)?
32. 32.Write 16,00,000 in standard form as 1.6 × 10ⁿ. What is n?
33. 33.A room is 3 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
34. 34.The diagonals of a rhombus are 28 cm and 10 cm. What is its area (in square cm)?
35. 35.Use (a + b)(a − b) = a² − b² to find 99 × 81.
36. 36.A square garden has an area of 1225 square m. How long is each side (in m)?
37. 37.Which of these is a perfect cube? (a) 2041 (b) 1728 (c) 1740
38. 38.Find the compound interest on ₹10000 at 12% per year for 2 years, compounded every year (in ₹).
39. 39.Use (a + b)(a − b) = a² − b² to find 95 × 85.
40. 40.Write 2.5 × 10⁻² as a decimal. =

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