Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 785 · 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.Write 9⁶ × 9⁷ as a single power 9ⁿ. What is n?
2. 2.The length of a rectangle is 11 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
3. 3.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
4. 4.Use (a − b)² = a² − 2ab + b² to find 62².
5. 5.Find the compound interest on ₹10700 at 25% per year for 1 year, compounded every year (in ₹).
6. 6.What is 62²? =
7. 7.Find the value of x² − 2xy + y² when x = 4 and y = 2.
8. 8.Solve: 3x + 16 = x + 36. What is x?
9. 9.A room is 8 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
10. 10.Use a² − b² = (a + b)(a − b) to find 38² − 29².
11. 11.What is the difference between the compound interest and the simple interest on ₹2500 at 12% per year for 2 years (in ₹)?
12. 12.What is the smallest whole number by which 275 must be divided to get a perfect square?
13. 13.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
14. 14.What is the value of 10² × 10⁻⁵? =
15. 15.Which of these is a perfect square? (a) 1156 (b) 1184 (c) 1223
16. 16.6.1 × 10⁶ =
17. 17.What is the value of (1/4)⁻¹? =
18. 18.Write 2.1 × 10⁻⁴ as a decimal. =
19. 19.Find the value of x² − y² when x = 9 and y = 4.
20. 20.What is 34²? =
21. 21.Solve: 3y + 1 = y + 5. What is y?
22. 22.A cuboid is 5 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
23. 23.What is the value of 7⁴? =
24. 24.Use (a − b)² = a² − 2ab + b² to find 86².
25. 25.Use (a − b)² = a² − 2ab + b² to find 92².
26. 26.What amount will ₹56000 grow to in 3 years at 15% per year compound interest (in ₹)?
27. 27.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
28. 28.2.6 × 10³ =
29. 29.Write 2,40,00,000 in standard form as 2.4 × 10ⁿ. What is n?
30. 30.Use a² − b² = (a + b)(a − b) to find 45² − 9².
31. 31.Solve: 5(y − 1) = 3y + 3. What is y?
32. 32.Write 6¹¹ ÷ 6⁹ as a single power 6ⁿ. What is n?
33. 33.A square garden has an area of 441 square m. How long is each side (in m)?
34. 34.Find the value of x² − y² when x = 14 and y = 9.
35. 35.Which of these is a perfect square? (a) 225 (b) 229 (c) 242
36. 36.Which of these is a perfect cube? (a) 1000 (b) 1277 (c) 1156
37. 37.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
38. 38.What is the value of 4³? =
39. 39.Which of these is a perfect cube? (a) 3396 (b) 3375 (c) 3817
40. 40.A trapezium has parallel sides of 20 cm and 21 cm, and the distance between them is 16 cm. What is its area (in square cm)?

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