Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 520 · 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.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
2. 2.Find the compound interest on ₹44500 at 10% per year for 2 years, compounded every year (in ₹).
3. 3.What is 6³? =
4. 4.What is the value of 2⁻⁵ (as a fraction)? =
5. 5.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
6. 6.Solve: 5x + 5 = 2x + 11. What is x?
7. 7.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
8. 8.Which of these is a perfect cube? (a) 27 (b) 35 (c) 48
9. 9.What is the value of 3¹ × 3⁻²? =
10. 10.What amount will ₹8000 grow to in 3 years at 15% per year compound interest (in ₹)?
11. 11.4.4 × 10⁷ =
12. 12.The diagonals of a rhombus are 6 cm and 7 cm. What is its area (in square cm)?
13. 13.A trapezium has parallel sides of 18 cm and 26 cm, and the distance between them is 20 cm. What is its area (in square cm)?
14. 14.Use (a − b)² = a² − 2ab + b² to find 76².
15. 15.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?
16. 16.A father is 26 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
17. 17.Which of these is a perfect square? (a) 1384 (b) 1369 (c) 1398
18. 18.The diagonals of a rhombus are 30 cm and 15 cm. What is its area (in square cm)?
19. 19.The length of a rectangle is 15 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
20. 20.If a + b = 13 and ab = 42, what is a² + b²?
21. 21.The sum of three consecutive whole numbers is 180. What is the smallest of them?
22. 22.Solve: n/4 + n/3 = 7. What is n?
23. 23.Solve: y/5 + y/2 = 42. What is y?
24. 24.Use (a + b)² = a² + 2ab + b² to find 11².
25. 25.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
26. 26.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
27. 27.Use (a + b)(a − b) = a² − b² to find 37 × 23.
28. 28.A square garden has an area of 2809 square m. How long is each side (in m)?
29. 29.Write 6⁸ × 6⁸ as a single power 6ⁿ. What is n?
30. 30.Which of these is a perfect square? (a) 841 (b) 848 (c) 846
31. 31.A trapezium has parallel sides of 24 cm and 28 cm, and the distance between them is 13 cm. What is its area (in square cm)?
32. 32.What is 13³? =
33. 33.What is the value of (1/3)⁻²? =
34. 34.Write (4⁶)⁹ as a single power 4ⁿ. What is n?
35. 35.Use (a + b)(a − b) = a² − b² to find 79 × 61.
36. 36.What is the difference between the compound interest and the simple interest on ₹15000 at 4% per year for 2 years (in ₹)?
37. 37.What is the smallest whole number by which 7 must be divided to get a perfect cube?
38. 38.Find the compound interest on ₹37000 at 10% per year for 3 years, compounded every year (in ₹).
39. 39.Write 3.6 × 10⁻⁴ as a decimal. =
40. 40.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

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