Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 101 · 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.Write (9³)⁷ as a single power 9ⁿ. What is n?
2. 2.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
3. 3.A cuboid is 10 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
4. 4.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
5. 5.What is the smallest whole number by which 45 must be divided to get a perfect square?
6. 6.The sum of three consecutive whole numbers is 24. What is the smallest of them?
7. 7.Write 1.3 × 10⁻³ as a decimal. =
8. 8.Which of these is a perfect cube? (a) 1000 (b) 1070 (c) 1257
9. 9.A cuboid is 12 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
10. 10.What is the smallest whole number by which 224 must be multiplied to get a perfect square?
11. 11.Write 8.2 × 10⁻¹ as a decimal. =
12. 12.Use (a + b)² = a² + 2ab + b² to find 45².
13. 13.What is the value of 2¹⁰? =
14. 14.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
15. 15.Use a² − b² = (a + b)(a − b) to find 52² − 13².
16. 16.Solve: x/3 + x/4 = 28. What is x?
17. 17.What is the smallest whole number by which 189 must be divided to get a perfect cube?
18. 18.A father is 34 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?
19. 19.What is the smallest whole number by which 448 must be divided to get a perfect cube?
20. 20.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
21. 21.Solve: 5(y − 2) = 2y + 8. What is y?
22. 22.Which of these is a perfect square? (a) 1225 (b) 1271 (c) 1264
23. 23.Which of these is a perfect cube? (a) 31 (b) 27 (c) 36
24. 24.What is ∛512? =
25. 25.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
26. 26.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
27. 27.Use a² − b² = (a + b)(a − b) to find 59² − 29².
28. 28.What is 6³? =
29. 29.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
30. 30.What is ∛125? =
31. 31.Which of these is a perfect square? (a) 1152 (b) 1089 (c) 1096
32. 32.Write 8⁸ ÷ 8⁶ as a single power 8ⁿ. What is n?
33. 33.A father is 11 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
34. 34.What amount will ₹2000 grow to in 1 year at 15% per year compound interest (in ₹)?
35. 35.What is the value of 4⁻⁴ (as a fraction)? =
36. 36.Which of these is a perfect cube? (a) 125 (b) 126 (c) 182
37. 37.Which of these is a perfect square? (a) 350 (b) 324 (c) 351
38. 38.What is √1156? =
39. 39.Find the value of x² − y² when x = 12 and y = 6.
40. 40.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?

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