Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 232 · 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.What amount will ₹8100 grow to in 2 years at 10% per year compound interest (in ₹)?
2. 2.Write 2⁸ × 2³ as a single power 2ⁿ. What is n?
3. 3.A cuboid is 12 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
4. 4.What is the value of 2³ × 2⁻¹? =
5. 5.Solve: n/6 + n/3 = 3. What is n?
6. 6.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
7. 7.A trapezium has an area of 279 square cm. Its parallel sides are 29 cm and 2 cm. What is the distance between them (in cm)?
8. 8.What is 22²? =
9. 9.Find the compound interest on ₹32500 at 4% per year for 2 years, compounded every year (in ₹).
10. 10.A trapezium has parallel sides of 15 cm and 25 cm, and the distance between them is 3 cm. What is its area (in square cm)?
11. 11.The length of a rectangle is 13 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
12. 12.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
13. 13.Use (a − b)² = a² − 2ab + b² to find 77².
14. 14.What is the difference between the compound interest and the simple interest on ₹15300 at 10% per year for 2 years (in ₹)?
15. 15.What is the value of 2¹⁴? =
16. 16.What is the value of 3⁹? =
17. 17.What amount will ₹16700 grow to in 1 year at 4% per year compound interest (in ₹)?
18. 18.Find the value of x² + 2xy + y² when x = 11 and y = 2.
19. 19.Which of these is a perfect cube? (a) 729 (b) 790 (c) 850
20. 20.Use (a + b)² = a² + 2ab + b² to find 56².
21. 21.What amount will ₹21200 grow to in 2 years at 25% per year compound interest (in ₹)?
22. 22.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
23. 23.Find the compound interest on ₹6400 at 5% per year for 2 years, compounded every year (in ₹).
24. 24.Use (a + b)² = a² + 2ab + b² to find 19².
25. 25.A trapezium has parallel sides of 7 cm and 2 cm, and the distance between them is 4 cm. What is its area (in square cm)?
26. 26.What is 70²? =
27. 27.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
28. 28.What is 18²? =
29. 29.The diagonals of a rhombus are 26 cm and 30 cm. What is its area (in square cm)?
30. 30.What amount will ₹7600 grow to in 2 years at 5% per year compound interest (in ₹)?
31. 31.A trapezium has parallel sides of 23 cm and 22 cm, and the distance between them is 12 cm. What is its area (in square cm)?
32. 32.The sum of three consecutive whole numbers is 93. What is the largest of them?
33. 33.What is ∛1728? =
34. 34.Use (a − b)² = a² − 2ab + b² to find 34².
35. 35.The length of a rectangle is 10 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
36. 36.What is the value of 6³? =
37. 37.Use (a + b)(a − b) = a² − b² to find 46 × 34.
38. 38.A trapezium has parallel sides of 10 cm and 23 cm, and the distance between them is 20 cm. What is its area (in square cm)?
39. 39.Which of these is a perfect square? (a) 114 (b) 117 (c) 100
40. 40.What amount will ₹43000 grow to in 3 years at 10% per year compound interest (in ₹)?

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