Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 655 · 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 cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
2. 2.What is the value of 8⁵? =
3. 3.What is 4³? =
4. 4.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
5. 5.Solve: 3(t − 2) = t + 14. What is t?
6. 6.What is the value of 4⁻¹ (as a fraction)? =
7. 7.Use a² − b² = (a + b)(a − b) to find 29² − 18².
8. 8.A father is 12 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
9. 9.Write 970 in standard form as 9.7 × 10ⁿ. What is n?
10. 10.What is 77²? =
11. 11.What is the value of 6³? =
12. 12.Use (a − b)² = a² − 2ab + b² to find 48².
13. 13.The sum of two consecutive whole numbers is 45. What is the largest of them?
14. 14.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
15. 15.What is the value of 7⁵? =
16. 16.The diagonals of a rhombus are 14 cm and 15 cm. What is its area (in square cm)?
17. 17.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
18. 18.If a + b = 3 and ab = 2, what is a² + b²?
19. 19.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
20. 20.Find the value of x² + 2xy + y² when x = 14 and y = 4.
21. 21.A trapezium has parallel sides of 28 cm and 3 cm, and the distance between them is 18 cm. What is its area (in square cm)?
22. 22.How many whole numbers lie between 49² and 50²?
23. 23.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
24. 24.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
25. 25.A cuboid is 10 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
26. 26.What is the value of 2⁵ × 2⁻⁵? =
27. 27.If a + b = 17 and ab = 60, what is a² + b²?
28. 28.What is the difference between the compound interest and the simple interest on ₹47500 at 8% per year for 2 years (in ₹)?
29. 29.What is the value of 3¹⁰? =
30. 30.Use a² − b² = (a + b)(a − b) to find 37² − 29².
31. 31.Find the compound interest on ₹32000 at 5% per year for 3 years, compounded every year (in ₹).
32. 32.Which of these is a perfect square? (a) 1225 (b) 1260 (c) 1292
33. 33.What is the difference between the compound interest and the simple interest on ₹2500 at 4% per year for 2 years (in ₹)?
34. 34.What is the difference between the compound interest and the simple interest on ₹22400 at 20% per year for 2 years (in ₹)?
35. 35.Solve: 3m + 2 = 2m + 5. What is m?
36. 36.A father is 12 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
37. 37.What is the value of 3⁴ × 3⁻²? =
38. 38.What amount will ₹30000 grow to in 2 years at 8% per year compound interest (in ₹)?
39. 39.Which of these is a perfect cube? (a) 153 (b) 125 (c) 167
40. 40.Use (a − b)² = a² − 2ab + b² to find 72².

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