Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 177 · 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 big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
2. 2.A cuboid is 7 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
3. 3.Solve: 4y + 8 = y + 35. What is y?
4. 4.Which of these is a perfect cube? (a) 85 (b) 103 (c) 64
5. 5.Find the compound interest on ₹35600 at 4% per year for 1 year, compounded every year (in ₹).
6. 6.Solve: 4(x − 4) = 2x + 20. What is x?
7. 7.A room is 10 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
8. 8.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
9. 9.What is the difference between the compound interest and the simple interest on ₹45000 at 12% per year for 2 years (in ₹)?
10. 10.A cuboid is 11 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
11. 11.If a + b = 13 and ab = 12, what is a² + b²?
12. 12.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
13. 13.Use (a − b)² = a² − 2ab + b² to find 77².
14. 14.What is the smallest whole number by which 32 must be multiplied to get a perfect square?
15. 15.Write 2⁸ ÷ 2² as a single power 2ⁿ. What is n?
16. 16.A square garden has an area of 36 square m. How long is each side (in m)?
17. 17.Write (5³)⁹ as a single power 5ⁿ. What is n?
18. 18.Which of these is a perfect square? (a) 486 (b) 484 (c) 490
19. 19.What is the difference between the compound interest and the simple interest on ₹13700 at 20% per year for 2 years (in ₹)?
20. 20.Write 2.4 × 10⁻² as a decimal. =
21. 21.Use a² − b² = (a + b)(a − b) to find 45² − 40².
22. 22.Use (a + b)(a − b) = a² − b² to find 23 × 17.
23. 23.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
24. 24.Use a² − b² = (a + b)(a − b) to find 95² − 14².
25. 25.Solve: 5(p − 3) = 2p + 3. What is p?
26. 26.Which of these is a perfect square? (a) 441 (b) 471 (c) 482
27. 27.A square garden has an area of 2916 square m. How long is each side (in m)?
28. 28.What is the value of 10⁻¹ (as a fraction)? =
29. 29.What is the smallest whole number by which 350 must be divided to get a perfect square?
30. 30.If a + b = 8 and ab = 7, what is a² + b²?
31. 31.Which of these is a perfect cube? (a) 512 (b) 606 (c) 582
32. 32.A father is 15 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
33. 33.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
34. 34.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
35. 35.What is √9216? =
36. 36.Solve: 5(p − 3) = p + 1. What is p?
37. 37.Solve: 6(p − 4) = p + 26. What is p?
38. 38.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
39. 39.Find the compound interest on ₹16000 at 5% per year for 3 years, compounded every year (in ₹).
40. 40.Which of these is a perfect square? (a) 257 (b) 283 (c) 256

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