Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 733 · 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 trapezium has parallel sides of 27 cm and 7 cm, and the distance between them is 8 cm. What is its area (in square cm)?
2. 2.The length of a rectangle is 3 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
3. 3.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
4. 4.Use (a − b)² = a² − 2ab + b² to find 31².
5. 5.Which of these is a perfect cube? (a) 729 (b) 950 (c) 819
6. 6.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
7. 7.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
8. 8.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
9. 9.Find the value of x² + 2xy + y² when x = 6 and y = 2.
10. 10.A square garden has an area of 529 square m. How long is each side (in m)?
11. 11.Solve: 9y + 11 = 4y + 26. What is y?
12. 12.A cuboid is 6 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
13. 13.What is the value of 2⁷? =
14. 14.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
15. 15.How many whole numbers lie between 25² and 26²?
16. 16.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
17. 17.Use (a + b)² = a² + 2ab + b² to find 79².
18. 18.A room is 11 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
19. 19.A room is 10 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
20. 20.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
21. 21.What is the value of 10⁴ × 10⁻⁶? =
22. 22.What is the value of 10³ × 10⁻⁴? =
23. 23.What is 8³? =
24. 24.Which of these is a perfect square? (a) 272 (b) 283 (c) 256
25. 25.Use a² − b² = (a + b)(a − b) to find 23² − 4².
26. 26.A square garden has an area of 2304 square m. How long is each side (in m)?
27. 27.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
28. 28.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
29. 29.A father is 45 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?
30. 30.Use (a + b)² = a² + 2ab + b² to find 41².
31. 31.What is √1024? =
32. 32.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
33. 33.If a − b = 4 and ab = 96, what is a² + b²?
34. 34.Find the compound interest on ₹55000 at 8% per year for 2 years, compounded every year (in ₹).
35. 35.Solve: y/2 + y/6 = 12. What is y?
36. 36.Find the value of x² − 2xy + y² when x = 15 and y = 13.
37. 37.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
38. 38.Solve: 3x + 8 = x + 18. What is x?
39. 39.What is the smallest whole number by which 256 must be divided to get a perfect cube?
40. 40.What is the value of 2¹¹? =

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