Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 347 · 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.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
2. 2.Use (a + b)² = a² + 2ab + b² to find 72².
3. 3.What is the value of 2¹⁶? =
4. 4.Write 8.6 × 10⁻² as a decimal. =
5. 5.What is the difference between the compound interest and the simple interest on ₹56700 at 10% per year for 2 years (in ₹)?
6. 6.A room is 11 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
7. 7.What is the value of 7³? =
8. 8.If a + b = 5 and ab = 4, what is a² + b²?
9. 9.Solve: m/2 + m/5 = 49. What is m?
10. 10.Find the value of x² + 2xy + y² when x = 13 and y = 2.
11. 11.What is the value of 5⁶ × 5⁻³? =
12. 12.Find the compound interest on ₹12000 at 5% per year for 2 years, compounded every year (in ₹).
13. 13.A cuboid is 11 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
14. 14.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
15. 15.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
16. 16.What is √169? =
17. 17.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
18. 18.Use (a + b)(a − b) = a² − b² to find 45 × 35.
19. 19.The sum of two consecutive whole numbers is 43. What is the largest of them?
20. 20.Use (a − b)² = a² − 2ab + b² to find 49².
21. 21.A cuboid is 15 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
22. 22.A cuboid is 5 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
23. 23.What amount will ₹25000 grow to in 3 years at 20% per year compound interest (in ₹)?
24. 24.How many whole numbers lie between 18² and 19²?
25. 25.Write (3⁸)⁹ as a single power 3ⁿ. What is n?
26. 26.Use a² − b² = (a + b)(a − b) to find 29² − 5².
27. 27.A trapezium has parallel sides of 26 cm and 27 cm, and the distance between them is 20 cm. What is its area (in square cm)?
28. 28.Solve: 5(p − 1) = p + 39. What is p?
29. 29.What amount will ₹6300 grow to in 2 years at 20% per year compound interest (in ₹)?
30. 30.Which of these is a perfect square? (a) 403 (b) 427 (c) 400
31. 31.Find the value of x² − y² when x = 6 and y = 5.
32. 32.Use (a + b)² = a² + 2ab + b² to find 13².
33. 33.What is 19³? =
34. 34.What is √8836? =
35. 35.What amount will ₹22500 grow to in 2 years at 12% per year compound interest (in ₹)?
36. 36.A town has 46000 people. The population grows by 10% every year. What will the population be after 3 years?
37. 37.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
38. 38.Use (a + b)² = a² + 2ab + b² to find 26².
39. 39.Write 8⁸ ÷ 8³ as a single power 8ⁿ. What is n?
40. 40.Solve: 7t + 3 = 3t + 59. What is t?

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