Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 851 · 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 scooter is worth ₹54000. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
2. 2.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
3. 3.What is the value of 9⁻² (as a fraction)? =
4. 4.A town has 38400 people. The population grows by 25% every year. What will the population be after 2 years?
5. 5.Solve: 6p + 5 = p + 10. What is p?
6. 6.A square garden has an area of 841 square m. How long is each side (in m)?
7. 7.A room is 11 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
8. 8.Use (a + b)(a − b) = a² − b² to find 47 × 33.
9. 9.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
10. 10.What is the value of (1/3)⁻²? =
11. 11.A square garden has an area of 2025 square m. How long is each side (in m)?
12. 12.A room is 5 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
13. 13.Write 2.1 × 10⁻¹ as a decimal. =
14. 14.Which of these is a perfect cube? (a) 512 (b) 555 (c) 601
15. 15.Find the compound interest on ₹35000 at 8% per year for 2 years, compounded every year (in ₹).
16. 16.Use (a + b)² = a² + 2ab + b² to find 92².
17. 17.What is 7³? =
18. 18.A trapezium has an area of 42 square cm. Its parallel sides are 5 cm and 16 cm. What is the distance between them (in cm)?
19. 19.Use (a + b)² = a² + 2ab + b² to find 39².
20. 20.The sum of four consecutive whole numbers is 158. What is the largest of them?
21. 21.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
22. 22.Find the value of x² − 2xy + y² when x = 10 and y = 1.
23. 23.The diagonals of a rhombus are 28 cm and 15 cm. What is its area (in square cm)?
24. 24.What is 19²? =
25. 25.Find the value of x² − 2xy + y² when x = 3 and y = 2.
26. 26.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
27. 27.Solve: 5m + 7 = 4m + 9. What is m?
28. 28.Use a² − b² = (a + b)(a − b) to find 26² − 21².
29. 29.Find the compound interest on ₹30000 at 12% per year for 2 years, compounded every year (in ₹).
30. 30.What is 20³? =
31. 31.The length of a rectangle is 3 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
32. 32.What is 69²? =
33. 33.Solve: 4m + 6 = m + 39. What is m?
34. 34.A trapezium has an area of 330 square cm. Its parallel sides are 15 cm and 29 cm. What is the distance between them (in cm)?
35. 35.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
36. 36.Use (a + b)² = a² + 2ab + b² to find 24².
37. 37.Solve: 9p + 11 = 2p + 32. What is p?
38. 38.Find the compound interest on ₹39500 at 20% per year for 3 years, compounded every year (in ₹).
39. 39.A square garden has an area of 3249 square m. How long is each side (in m)?
40. 40.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

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