Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 671 · 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 = 4 and y = 3.
2. 2.Write (3⁷)² as a single power 3ⁿ. What is n?
3. 3.A cuboid is 9 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
4. 4.Use (a − b)² = a² − 2ab + b² to find 96².
5. 5.Solve: y/5 + y/4 = 54. What is y?
6. 6.What is 18²? =
7. 7.If a + b = 12 and ab = 32, what is a² + b²?
8. 8.The diagonals of a rhombus are 20 cm and 22 cm. What is its area (in square cm)?
9. 9.The diagonals of a rhombus are 20 cm and 8 cm. What is its area (in square cm)?
10. 10.Write 95,00,000 in standard form as 9.5 × 10ⁿ. What is n?
11. 11.What is the smallest whole number by which 192 must be divided to get a perfect cube?
12. 12.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
13. 13.A square garden has an area of 36 square m. How long is each side (in m)?
14. 14.What is ∛10648? =
15. 15.Use (a + b)² = a² + 2ab + b² to find 44².
16. 16.What is √1849? =
17. 17.A trapezium has parallel sides of 22 cm and 6 cm, and the distance between them is 6 cm. What is its area (in square cm)?
18. 18.A cuboid is 7 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
19. 19.What is the difference between the compound interest and the simple interest on ₹18400 at 5% per year for 2 years (in ₹)?
20. 20.The length of a rectangle is 14 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
21. 21.Solve: p/2 + p/3 = 35. What is p?
22. 22.A scooter is worth ₹16000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
23. 23.A room is 4 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
24. 24.What is the difference between the compound interest and the simple interest on ₹40000 at 15% per year for 2 years (in ₹)?
25. 25.What is the smallest whole number by which 150 must be multiplied to get a perfect square?
26. 26.Which of these is a perfect square? (a) 908 (b) 900 (c) 958
27. 27.Find the compound interest on ₹47500 at 8% per year for 2 years, compounded every year (in ₹).
28. 28.Use a² − b² = (a + b)(a − b) to find 63² − 14².
29. 29.What is the value of 2¹⁶? =
30. 30.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
31. 31.Use (a + b)(a − b) = a² − b² to find 67 × 53.
32. 32.Use (a + b)(a − b) = a² − b² to find 81 × 79.
33. 33.A square garden has an area of 3136 square m. How long is each side (in m)?
34. 34.Solve: 5(y − 5) = 4y + 10. What is y?
35. 35.What is the value of 4⁵? =
36. 36.Use (a − b)² = a² − 2ab + b² to find 61².
37. 37.Use (a + b)(a − b) = a² − b² to find 98 × 82.
38. 38.Use (a + b)² = a² + 2ab + b² to find 86².
39. 39.A trapezium has parallel sides of 6 cm and 23 cm, and the distance between them is 18 cm. What is its area (in square cm)?
40. 40.What is √144? =

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