Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 553 · 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 cuboid is 14 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
2. 2.Which of these is a perfect cube? (a) 2554 (b) 2197 (c) 2213
3. 3.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
4. 4.The sum of three consecutive whole numbers is 147. What is the smallest of them?
5. 5.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
6. 6.What amount will ₹16000 grow to in 2 years at 15% per year compound interest (in ₹)?
7. 7.Write (8⁸)⁶ as a single power 8ⁿ. What is n?
8. 8.Find the value of x² − 2xy + y² when x = 13 and y = 5.
9. 9.What is ∛3375? =
10. 10.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
11. 11.Find the compound interest on ₹53800 at 20% per year for 1 year, compounded every year (in ₹).
12. 12.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
13. 13.Write (9⁹)⁶ as a single power 9ⁿ. What is n?
14. 14.Solve: 4y + 7 = 3y + 8. What is y?
15. 15.What is the difference between the compound interest and the simple interest on ₹30000 at 12% per year for 2 years (in ₹)?
16. 16.What amount will ₹44400 grow to in 2 years at 15% per year compound interest (in ₹)?
17. 17.What is the value of 2¹ × 2⁻¹? =
18. 18.The length of a rectangle is 1 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
19. 19.What is 16³? =
20. 20.Find the compound interest on ₹7500 at 8% per year for 2 years, compounded every year (in ₹).
21. 21.A cuboid is 7 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
22. 22.A trapezium has an area of 196 square cm. Its parallel sides are 22 cm and 6 cm. What is the distance between them (in cm)?
23. 23.Use (a − b)² = a² − 2ab + b² to find 31².
24. 24.Use (a + b)(a − b) = a² − b² to find 61 × 59.
25. 25.Which of these is a perfect square? (a) 788 (b) 820 (c) 784
26. 26.Solve: 9n + 9 = n + 49. What is n?
27. 27.Write (4⁸)⁴ as a single power 4ⁿ. What is n?
28. 28.Which of these is a perfect cube? (a) 343 (b) 490 (c) 400
29. 29.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
30. 30.A room is 7 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
31. 31.What is 61²? =
32. 32.Write 3¹⁶ ÷ 3⁷ as a single power 3ⁿ. What is n?
33. 33.A cuboid is 3 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
34. 34.Use (a + b)² = a² + 2ab + b² to find 25².
35. 35.What is √2704? =
36. 36.Use (a − b)² = a² − 2ab + b² to find 95².
37. 37.A town has 53200 people. The population grows by 4% every year. What will the population be after 1 year?
38. 38.How many whole numbers lie between 24² and 25²?
39. 39.How many whole numbers lie between 11² and 12²?
40. 40.Find the compound interest on ₹54100 at 20% per year for 2 years, compounded every year (in ₹).

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