Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 543 · 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.Use a² − b² = (a + b)(a − b) to find 28² − 19².
2. 2.Find the compound interest on ₹25000 at 4% per year for 2 years, compounded every year (in ₹).
3. 3.Find the compound interest on ₹39900 at 5% per year for 1 year, compounded every year (in ₹).
4. 4.What is the value of 2²? =
5. 5.What amount will ₹24000 grow to in 3 years at 5% per year compound interest (in ₹)?
6. 6.Find the compound interest on ₹10300 at 25% per year for 1 year, compounded every year (in ₹).
7. 7.A trapezium has parallel sides of 25 cm and 7 cm, and the distance between them is 4 cm. What is its area (in square cm)?
8. 8.What is 32²? =
9. 9.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
10. 10.What is √256? =
11. 11.Find the value of x² − y² when x = 13 and y = 8.
12. 12.A trapezium has an area of 126 square cm. Its parallel sides are 14 cm and 22 cm. What is the distance between them (in cm)?
13. 13.Solve: 8y + 8 = 4y + 36. What is y?
14. 14.What is the smallest whole number by which 343 must be divided to get a perfect square?
15. 15.Use (a − b)² = a² − 2ab + b² to find 48².
16. 16.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
17. 17.Which of these is a perfect square? (a) 191 (b) 187 (c) 169
18. 18.A room is 7 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
19. 19.A scooter is worth ₹44000. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
20. 20.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
21. 21.A scooter is worth ₹27500. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
22. 22.A trapezium has parallel sides of 15 cm and 10 cm, and the distance between them is 4 cm. What is its area (in square cm)?
23. 23.What is the value of 9²? =
24. 24.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
25. 25.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
26. 26.Use (a + b)(a − b) = a² − b² to find 49 × 31.
27. 27.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
28. 28.6.3 × 10⁷ =
29. 29.The length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
30. 30.What is 9³? =
31. 31.A trapezium has an area of 78 square cm. Its parallel sides are 11 cm and 28 cm. What is the distance between them (in cm)?
32. 32.If a − b = 2 and ab = 48, what is a² + b²?
33. 33.A square garden has an area of 2025 square m. How long is each side (in m)?
34. 34.The length of a rectangle is 7 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
35. 35.The sum of two consecutive whole numbers is 35. What is the smallest of them?
36. 36.A trapezium has parallel sides of 10 cm and 18 cm, and the distance between them is 10 cm. What is its area (in square cm)?
37. 37.Find the value of x² − y² when x = 12 and y = 5.
38. 38.Which of these is a perfect cube? (a) 3554 (b) 3677 (c) 3375
39. 39.A room is 4 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
40. 40.What is ∛12167? =

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