Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 94 · 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 square? (a) 1048 (b) 1024 (c) 1044
2. 2.What is 45²? =
3. 3.What is the value of 5³ × 5⁻⁶? =
4. 4.Which of these is a perfect cube? (a) 184 (b) 125 (c) 195
5. 5.What is the value of 2⁵ × 2⁻⁶? =
6. 6.Find the value of x² − y² when x = 14 and y = 5.
7. 7.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
8. 8.The length of a rectangle is 3 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
9. 9.Which of these is a perfect square? (a) 1233 (b) 1279 (c) 1225
10. 10.Write (3²)⁴ as a single power 3ⁿ. What is n?
11. 11.What amount will ₹52800 grow to in 3 years at 25% per year compound interest (in ₹)?
12. 12.What is the smallest whole number by which 540 must be multiplied to get a perfect square?
13. 13.What is the smallest whole number by which 275 must be multiplied to get a perfect square?
14. 14.Use (a − b)² = a² − 2ab + b² to find 61².
15. 15.What is the difference between the compound interest and the simple interest on ₹14800 at 15% per year for 2 years (in ₹)?
16. 16.The length of a rectangle is 1 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
17. 17.A town has 19000 people. The population grows by 10% every year. What will the population be after 3 years?
18. 18.Which of these is a perfect square? (a) 832 (b) 784 (c) 810
19. 19.The sum of four consecutive whole numbers is 42. What is the smallest of them?
20. 20.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
21. 21.What is the smallest whole number by which 224 must be divided to get a perfect square?
22. 22.Which of these is a perfect cube? (a) 65 (b) 68 (c) 64
23. 23.What is 15²? =
24. 24.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
25. 25.Use (a + b)(a − b) = a² − b² to find 38 × 22.
26. 26.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
27. 27.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
28. 28.Solve: y/5 + y/6 = 55. What is y?
29. 29.What amount will ₹40000 grow to in 2 years at 12% per year compound interest (in ₹)?
30. 30.A room is 9 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
31. 31.Which of these is a perfect cube? (a) 1150 (b) 1000 (c) 1223
32. 32.Solve: 3(p − 5) = 2p + 6. What is p?
33. 33.What is the value of 2⁻² (as a fraction)? =
34. 34.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
35. 35.Find the compound interest on ₹56800 at 15% per year for 1 year, compounded every year (in ₹).
36. 36.Find the compound interest on ₹33600 at 25% per year for 3 years, compounded every year (in ₹).
37. 37.Find the value of x² − 2xy + y² when x = 10 and y = 2.
38. 38.What is 5³? =
39. 39.A square garden has an area of 1444 square m. How long is each side (in m)?
40. 40.5.5 × 10⁴ =

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