Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 925 · 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 square garden has an area of 1764 square m. How long is each side (in m)?
2. 2.What is 57²? =
3. 3.How many whole numbers lie between 29² and 30²?
4. 4.What is 13³? =
5. 5.A square garden has an area of 2025 square m. How long is each side (in m)?
6. 6.What is the value of 5⁵ × 5⁻⁶? =
7. 7.Find the value of x² + 2xy + y² when x = 15 and y = 1.
8. 8.Write 9⁹ ÷ 9⁴ as a single power 9ⁿ. What is n?
9. 9.What is the value of 3⁶ × 3⁻⁶? =
10. 10.A father is 38 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
11. 11.Use (a − b)² = a² − 2ab + b² to find 81².
12. 12.Solve: 4(y − 3) = y + 24. What is y?
13. 13.A room is 4 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
14. 14.What is the value of 3⁵ × 3⁻⁶? =
15. 15.What amount will ₹8000 grow to in 3 years at 15% per year compound interest (in ₹)?
16. 16.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
17. 17.What is the value of 3⁵ × 3⁻¹? =
18. 18.A father is 27 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
19. 19.Use (a − b)² = a² − 2ab + b² to find 88².
20. 20.What is ∛8000? =
21. 21.What is √3364? =
22. 22.What is 90²? =
23. 23.The diagonals of a rhombus are 30 cm and 8 cm. What is its area (in square cm)?
24. 24.The diagonals of a rhombus are 16 cm and 29 cm. What is its area (in square cm)?
25. 25.A cuboid is 12 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
26. 26.Use (a − b)² = a² − 2ab + b² to find 28².
27. 27.A trapezium has parallel sides of 6 cm and 14 cm, and the distance between them is 9 cm. What is its area (in square cm)?
28. 28.What is the value of (7/8)⁻¹? =
29. 29.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
30. 30.What is the value of 3⁹? =
31. 31.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
32. 32.Write 7⁹ × 7² as a single power 7ⁿ. What is n?
33. 33.What is the value of 10⁴? =
34. 34.What is ∛6859? =
35. 35.The diagonals of a rhombus are 18 cm and 11 cm. What is its area (in square cm)?
36. 36.A square garden has an area of 1681 square m. How long is each side (in m)?
37. 37.A room is 6 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
38. 38.What is 75²? =
39. 39.A cuboid is 11 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
40. 40.A cuboid is 3 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?

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