Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 970 · 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.The sum of four consecutive whole numbers is 74. What is the smallest of them?
2. 2.A room is 10 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
3. 3.A cuboid is 11 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
4. 4.What is 4³? =
5. 5.The sum of four consecutive whole numbers is 218. What is the smallest of them?
6. 6.What is the value of 2¹⁰? =
7. 7.Which of these is a perfect square? (a) 1117 (b) 1089 (c) 1094
8. 8.What is the smallest whole number by which 162 must be divided to get a perfect square?
9. 9.What is 15³? =
10. 10.Use (a − b)² = a² − 2ab + b² to find 25².
11. 11.What is 73²? =
12. 12.Solve: 3(m − 5) = 2m + 9. What is m?
13. 13.What is √1936? =
14. 14.What is the smallest whole number by which 28 must be divided to get a perfect square?
15. 15.A trapezium has parallel sides of 20 cm and 19 cm, and the distance between them is 8 cm. What is its area (in square cm)?
16. 16.A square garden has an area of 900 square m. How long is each side (in m)?
17. 17.The length of a rectangle is 6 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
18. 18.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
19. 19.How many whole numbers lie between 17² and 18²?
20. 20.What is 9³? =
21. 21.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
22. 22.Solve: 3(m − 2) = 2m + 3. What is m?
23. 23.A room is 9 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
24. 24.A square garden has an area of 3136 square m. How long is each side (in m)?
25. 25.Find the compound interest on ₹58600 at 20% per year for 1 year, compounded every year (in ₹).
26. 26.What is √961? =
27. 27.What is the difference between the compound interest and the simple interest on ₹47600 at 15% per year for 2 years (in ₹)?
28. 28.Use (a + b)(a − b) = a² − b² to find 64 × 56.
29. 29.Use a² − b² = (a + b)(a − b) to find 65² − 54².
30. 30.Use a² − b² = (a + b)(a − b) to find 34² − 18².
31. 31.Use (a − b)² = a² − 2ab + b² to find 83².
32. 32.What is the value of 10³? =
33. 33.Use (a − b)² = a² − 2ab + b² to find 59².
34. 34.Write 6,400 in standard form as 6.4 × 10ⁿ. What is n?
35. 35.Use (a + b)² = a² + 2ab + b² to find 18².
36. 36.What is √4356? =
37. 37.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
38. 38.Find the value of x² + 2xy + y² when x = 3 and y = 2.
39. 39.What is the value of 2⁵ × 2⁻⁴? =
40. 40.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?

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