Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 593 · 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.Find the compound interest on ₹57600 at 5% per year for 2 years, compounded every year (in ₹).
2. 2.What is √4624? =
3. 3.Find the compound interest on ₹45200 at 20% per year for 1 year, compounded every year (in ₹).
4. 4.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
5. 5.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
6. 6.What is 26²? =
7. 7.Use (a − b)² = a² − 2ab + b² to find 44².
8. 8.Solve: 6p + 4 = 4p + 22. What is p?
9. 9.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
10. 10.Which of these is a perfect square? (a) 225 (b) 253 (c) 232
11. 11.Write 1,60,00,000 in standard form as 1.6 × 10ⁿ. What is n?
12. 12.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
13. 13.Which of these is a perfect cube? (a) 1041 (b) 1000 (c) 1029
14. 14.What is the value of (1/9)⁻²? =
15. 15.A square garden has an area of 64 square m. How long is each side (in m)?
16. 16.What is the smallest whole number by which 192 must be divided to get a perfect cube?
17. 17.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
18. 18.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
19. 19.What amount will ₹58600 grow to in 2 years at 20% per year compound interest (in ₹)?
20. 20.A trapezium has parallel sides of 22 cm and 4 cm, and the distance between them is 3 cm. What is its area (in square cm)?
21. 21.The length of a rectangle is 8 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
22. 22.Find the compound interest on ₹44300 at 25% per year for 1 year, compounded every year (in ₹).
23. 23.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
24. 24.What is the value of 2⁴ × 2⁻³? =
25. 25.Find the compound interest on ₹23500 at 20% per year for 3 years, compounded every year (in ₹).
26. 26.What is √225? =
27. 27.What amount will ₹7500 grow to in 2 years at 4% per year compound interest (in ₹)?
28. 28.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
29. 29.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
30. 30.What amount will ₹47500 grow to in 2 years at 8% per year compound interest (in ₹)?
31. 31.What is 14³? =
32. 32.Solve: 8t + 12 = 3t + 67. What is t?
33. 33.What is 71²? =
34. 34.Use (a + b)² = a² + 2ab + b² to find 11².
35. 35.The length of a rectangle is 13 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
36. 36.What is 74²? =
37. 37.A cuboid is 5 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
38. 38.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
39. 39.A square garden has an area of 49 square m. How long is each side (in m)?
40. 40.Use (a + b)² = a² + 2ab + b² to find 23².

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