Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 237 · 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 value of x² + 2xy + y² when x = 12 and y = 1.
2. 2.What is 90²? =
3. 3.What is √676? =
4. 4.What is 9³? =
5. 5.8.9 × 10² =
6. 6.What amount will ₹45500 grow to in 3 years at 20% per year compound interest (in ₹)?
7. 7.Solve: 4(x − 5) = x + 4. What is x?
8. 8.Use (a + b)² = a² + 2ab + b² to find 11².
9. 9.What is 91²? =
10. 10.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
11. 11.What is the value of (1/2)⁻²? =
12. 12.The diagonals of a rhombus are 28 cm and 17 cm. What is its area (in square cm)?
13. 13.Use (a − b)² = a² − 2ab + b² to find 18².
14. 14.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
15. 15.The diagonals of a rhombus are 30 cm and 20 cm. What is its area (in square cm)?
16. 16.Solve: n/3 + n/5 = 24. What is n?
17. 17.What is 3³? =
18. 18.A cuboid is 8 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
19. 19.What is the value of 8³? =
20. 20.Use (a + b)(a − b) = a² − b² to find 48 × 32.
21. 21.What is the difference between the compound interest and the simple interest on ₹35200 at 15% per year for 2 years (in ₹)?
22. 22.Write 9.8 × 10⁻¹ as a decimal. =
23. 23.What is 73²? =
24. 24.What is the value of 10³ × 10⁻⁶? =
25. 25.What amount will ₹4100 grow to in 1 year at 15% per year compound interest (in ₹)?
26. 26.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
27. 27.Use (a + b)(a − b) = a² − b² to find 26 × 14.
28. 28.Which of these is a perfect square? (a) 1290 (b) 1281 (c) 1225
29. 29.What is the value of 3⁶ × 3⁻⁴? =
30. 30.Use (a + b)² = a² + 2ab + b² to find 57².
31. 31.How many whole numbers lie between 5² and 6²?
32. 32.Which of these is a perfect cube? (a) 827 (b) 922 (c) 729
33. 33.What is 51²? =
34. 34.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
35. 35.Which of these is a perfect square? (a) 196 (b) 222 (c) 217
36. 36.What is the difference between the compound interest and the simple interest on ₹20400 at 5% per year for 2 years (in ₹)?
37. 37.Which of these is a perfect cube? (a) 600 (b) 651 (c) 512
38. 38.The length of a rectangle is 5 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
39. 39.A square garden has an area of 289 square m. How long is each side (in m)?
40. 40.What amount will ₹19800 grow to in 1 year at 10% per year compound interest (in ₹)?

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