Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 192 · 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.Which of these is a perfect cube? (a) 2197 (b) 2474 (c) 2353
2. 2.A square garden has an area of 3600 square m. How long is each side (in m)?
3. 3.Which of these is a perfect square? (a) 766 (b) 729 (c) 738
4. 4.Which of these is a perfect cube? (a) 512 (b) 532 (c) 533
5. 5.How many whole numbers lie between 34² and 35²?
6. 6.How many whole numbers lie between 31² and 32²?
7. 7.What is the difference between the compound interest and the simple interest on ₹42800 at 25% per year for 2 years (in ₹)?
8. 8.Use (a + b)(a − b) = a² − b² to find 48 × 32.
9. 9.Write 9.6 × 10⁻⁴ as a decimal. =
10. 10.What is √4225? =
11. 11.Use (a + b)² = a² + 2ab + b² to find 19².
12. 12.A town has 48000 people. The population grows by 5% every year. What will the population be after 3 years?
13. 13.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
14. 14.A square garden has an area of 441 square m. How long is each side (in m)?
15. 15.Use (a − b)² = a² − 2ab + b² to find 87².
16. 16.Use a² − b² = (a + b)(a − b) to find 76² − 60².
17. 17.Write (7³)⁴ as a single power 7ⁿ. What is n?
18. 18.A square garden has an area of 49 square m. How long is each side (in m)?
19. 19.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
20. 20.Solve: 7x + 1 = 4x + 7. What is x?
21. 21.Write 7⁴ × 7² as a single power 7ⁿ. What is n?
22. 22.Use (a + b)(a − b) = a² − b² to find 25 × 15.
23. 23.How many whole numbers lie between 48² and 49²?
24. 24.A cuboid is 9 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
25. 25.What is the value of 10⁴? =
26. 26.What is √1521? =
27. 27.A father is 39 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
28. 28.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
29. 29.Which of these is a perfect square? (a) 1261 (b) 1225 (c) 1247
30. 30.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
31. 31.Use (a + b)² = a² + 2ab + b² to find 71².
32. 32.Use (a + b)² = a² + 2ab + b² to find 25².
33. 33.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
34. 34.Use (a − b)² = a² − 2ab + b² to find 57².
35. 35.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
36. 36.What is 84²? =
37. 37.What is the value of 3⁴? =
38. 38.A room is 7 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
39. 39.What is ∛9261? =
40. 40.What is the smallest whole number by which 98 must be multiplied to get a perfect square?

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