Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 61 · 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.A square garden has an area of 144 square m. How long is each side (in m)?
2. 2.What is √2704? =
3. 3.What is the value of 2¹⁴? =
4. 4.A room is 12 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
5. 5.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
6. 6.A trapezium has parallel sides of 9 cm and 29 cm, and the distance between them is 6 cm. What is its area (in square cm)?
7. 7.What is the value of (1/4)⁻²? =
8. 8.Solve: 6m + 13 = 4m + 27. What is m?
9. 9.What is the difference between the compound interest and the simple interest on ₹24800 at 10% per year for 2 years (in ₹)?
10. 10.A room is 7 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
11. 11.A square garden has an area of 3136 square m. How long is each side (in m)?
12. 12.A trapezium has an area of 232 square cm. Its parallel sides are 7 cm and 22 cm. What is the distance between them (in cm)?
13. 13.Write 7⁹ × 7⁴ as a single power 7ⁿ. What is n?
14. 14.Write 6³ × 6⁸ as a single power 6ⁿ. What is n?
15. 15.Which of these is a perfect square? (a) 841 (b) 855 (c) 883
16. 16.Use (a − b)² = a² − 2ab + b² to find 24².
17. 17.Find the compound interest on ₹31000 at 10% per year for 3 years, compounded every year (in ₹).
18. 18.A scooter is worth ₹28500. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
19. 19.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
20. 20.The sum of four consecutive whole numbers is 138. What is the largest of them?
21. 21.Find the compound interest on ₹57900 at 20% per year for 1 year, compounded every year (in ₹).
22. 22.A cuboid is 14 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
23. 23.Which of these is a perfect square? (a) 723 (b) 676 (c) 704
24. 24.Find the value of x² − 2xy + y² when x = 6 and y = 5.
25. 25.What is 12³? =
26. 26.A room is 4 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
27. 27.Write 7,70,000 in standard form as 7.7 × 10ⁿ. What is n?
28. 28.What is the value of (5/9)⁻²? =
29. 29.A trapezium has an area of 264 square cm. Its parallel sides are 11 cm and 22 cm. What is the distance between them (in cm)?
30. 30.The sum of two consecutive whole numbers is 77. What is the largest of them?
31. 31.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
32. 32.What is the smallest whole number by which 648 must be divided to get a perfect cube?
33. 33.What is 5³? =
34. 34.2.4 × 10⁴ =
35. 35.What amount will ₹45500 grow to in 1 year at 5% per year compound interest (in ₹)?
36. 36.If a + b = 7 and ab = 12, what is a² + b²?
37. 37.Use a² − b² = (a + b)(a − b) to find 74² − 58².
38. 38.A trapezium has parallel sides of 19 cm and 18 cm, and the distance between them is 4 cm. What is its area (in square cm)?
39. 39.Find the compound interest on ₹3400 at 4% per year for 1 year, compounded every year (in ₹).
40. 40.A trapezium has parallel sides of 6 cm and 9 cm, and the distance between them is 2 cm. What is its area (in square cm)?

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