Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 783 · 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 square garden has an area of 1936 square m. How long is each side (in m)?
2. 2.The length of a rectangle is 9 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
3. 3.Find the compound interest on ₹13800 at 4% per year for 1 year, compounded every year (in ₹).
4. 4.Use (a − b)² = a² − 2ab + b² to find 16².
5. 5.Find the compound interest on ₹53200 at 10% per year for 2 years, compounded every year (in ₹).
6. 6.Which of these is a perfect cube? (a) 2197 (b) 2583 (c) 2637
7. 7.The sum of three consecutive whole numbers is 30. What is the smallest of them?
8. 8.Solve: 4p + 1 = p + 37. What is p?
9. 9.What is 90²? =
10. 10.What amount will ₹10300 grow to in 1 year at 5% per year compound interest (in ₹)?
11. 11.A square garden has an area of 784 square m. How long is each side (in m)?
12. 12.Find the compound interest on ₹39200 at 15% per year for 2 years, compounded every year (in ₹).
13. 13.Use (a + b)² = a² + 2ab + b² to find 24².
14. 14.What amount will ₹24500 grow to in 3 years at 20% per year compound interest (in ₹)?
15. 15.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
16. 16.Solve: 3(n − 5) = 2n + 13. What is n?
17. 17.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
18. 18.What is the value of 8⁻² (as a fraction)? =
19. 19.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
20. 20.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
21. 21.A room is 12 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
22. 22.A room is 4 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
23. 23.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
24. 24.The length of a rectangle is 15 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
25. 25.What is the value of 10¹ × 10⁻⁶? =
26. 26.What is the difference between the compound interest and the simple interest on ₹17200 at 5% per year for 2 years (in ₹)?
27. 27.What is the difference between the compound interest and the simple interest on ₹50400 at 5% per year for 2 years (in ₹)?
28. 28.A square garden has an area of 3136 square m. How long is each side (in m)?
29. 29.A trapezium has parallel sides of 6 cm and 19 cm, and the distance between them is 16 cm. What is its area (in square cm)?
30. 30.A trapezium has parallel sides of 25 cm and 2 cm, and the distance between them is 18 cm. What is its area (in square cm)?
31. 31.What is the value of 2⁻⁷ (as a fraction)? =
32. 32.What is ∛12167? =
33. 33.What is ∛64? =
34. 34.Write 6.6 × 10⁻⁴ as a decimal. =
35. 35.Use a² − b² = (a + b)(a − b) to find 87² − 9².
36. 36.Solve: 7t + 9 = 6t + 20. What is t?
37. 37.Use a² − b² = (a + b)(a − b) to find 34² − 29².
38. 38.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
39. 39.A trapezium has an area of 225 square cm. Its parallel sides are 12 cm and 18 cm. What is the distance between them (in cm)?
40. 40.A trapezium has parallel sides of 8 cm and 11 cm, and the distance between them is 14 cm. What is its area (in square cm)?

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