Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 531 · 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 8 cubic cm. How long is each edge (in cm)?
2. 2.What is the difference between the compound interest and the simple interest on ₹50000 at 15% per year for 2 years (in ₹)?
3. 3.Solve: 9m + 10 = 2m + 73. What is m?
4. 4.Solve: 6(x − 1) = 5x + 12. What is x?
5. 5.What is the value of 2⁻⁸ (as a fraction)? =
6. 6.What is ∛6859? =
7. 7.Which of these is a perfect cube? (a) 197 (b) 129 (c) 125
8. 8.Use (a + b)² = a² + 2ab + b² to find 77².
9. 9.Use (a + b)² = a² + 2ab + b² to find 16².
10. 10.Find the compound interest on ₹59100 at 10% per year for 2 years, compounded every year (in ₹).
11. 11.If a − b = 8 and ab = 20, what is a² + b²?
12. 12.What is the value of (1/9)⁻²? =
13. 13.The diagonals of a rhombus are 8 cm and 29 cm. What is its area (in square cm)?
14. 14.The diagonals of a rhombus are 8 cm and 14 cm. What is its area (in square cm)?
15. 15.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
16. 16.Which of these is a perfect cube? (a) 805 (b) 729 (c) 778
17. 17.A square garden has an area of 576 square m. How long is each side (in m)?
18. 18.What is 15³? =
19. 19.A square garden has an area of 729 square m. How long is each side (in m)?
20. 20.The sum of four consecutive whole numbers is 42. What is the smallest of them?
21. 21.A room is 4 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
22. 22.A father is 33 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
23. 23.What is √1156? =
24. 24.A scooter is worth ₹20500. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
25. 25.A trapezium has parallel sides of 4 cm and 19 cm, and the distance between them is 8 cm. What is its area (in square cm)?
26. 26.A trapezium has parallel sides of 14 cm and 12 cm, and the distance between them is 4 cm. What is its area (in square cm)?
27. 27.What is the smallest whole number by which 108 must be multiplied to get a perfect square?
28. 28.What is the value of 2⁹? =
29. 29.A cuboid is 12 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
30. 30.What is the difference between the compound interest and the simple interest on ₹52500 at 8% per year for 2 years (in ₹)?
31. 31.Solve: m/4 + m/6 = 35. What is m?
32. 32.Solve: p/3 + p/6 = 9. What is p?
33. 33.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
34. 34.What is the smallest whole number by which 1134 must be multiplied to get a perfect square?
35. 35.What is ∛1000? =
36. 36.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
37. 37.Find the value of x² − 2xy + y² when x = 14 and y = 1.
38. 38.What is √2304? =
39. 39.What is 11³? =
40. 40.A father is 30 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?

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