Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 817 · 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 cube has a volume of 125 cubic cm. How long is each edge (in cm)?
2. 2.Which of these is a perfect square? (a) 729 (b) 761 (c) 749
3. 3.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
4. 4.Find the value of x² + 2xy + y² when x = 15 and y = 3.
5. 5.What is ∛12167? =
6. 6.What amount will ₹6000 grow to in 3 years at 10% per year compound interest (in ₹)?
7. 7.A scooter is worth ₹37300. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
8. 8.A trapezium has parallel sides of 4 cm and 16 cm, and the distance between them is 9 cm. What is its area (in square cm)?
9. 9.A cuboid is 13 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
10. 10.A town has 10400 people. The population grows by 5% every year. What will the population be after 2 years?
11. 11.The length of a rectangle is 4 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
12. 12.Use a² − b² = (a + b)(a − b) to find 81² − 16².
13. 13.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
14. 14.A square garden has an area of 484 square m. How long is each side (in m)?
15. 15.A room is 6 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
16. 16.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
17. 17.Write 6¹¹ ÷ 6⁹ as a single power 6ⁿ. What is n?
18. 18.If a − b = 2 and ab = 8, what is a² + b²?
19. 19.What is the value of 10¹ × 10⁻⁶? =
20. 20.Solve: 6n + 5 = 3n + 8. What is n?
21. 21.A trapezium has parallel sides of 16 cm and 7 cm, and the distance between them is 8 cm. What is its area (in square cm)?
22. 22.What is 17³? =
23. 23.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
24. 24.What is the value of 2¹⁰? =
25. 25.The length of a rectangle is 13 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
26. 26.Write 6 × 10⁻¹ as a decimal. =
27. 27.What is 5³? =
28. 28.The sum of two consecutive whole numbers is 17. What is the largest of them?
29. 29.A scooter is worth ₹23600. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
30. 30.What is the difference between the compound interest and the simple interest on ₹43100 at 20% per year for 2 years (in ₹)?
31. 31.What is the difference between the compound interest and the simple interest on ₹12500 at 12% per year for 2 years (in ₹)?
32. 32.Solve: 6n + 10 = 2n + 42. What is n?
33. 33.If a + b = 7 and ab = 12, what is a² + b²?
34. 34.Which of these is a perfect cube? (a) 697 (b) 546 (c) 512
35. 35.What is the value of 5² × 5⁻¹? =
36. 36.What is ∛27? =
37. 37.Find the compound interest on ₹54400 at 20% per year for 1 year, compounded every year (in ₹).
38. 38.Use (a − b)² = a² − 2ab + b² to find 33².
39. 39.A town has 16400 people. The population grows by 5% every year. What will the population be after 1 year?
40. 40.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?

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