Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 168 · 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 trapezium has parallel sides of 16 cm and 13 cm, and the distance between them is 14 cm. What is its area (in square cm)?
2. 2.Use (a + b)(a − b) = a² − b² to find 47 × 33.
3. 3.Use a² − b² = (a + b)(a − b) to find 81² − 29².
4. 4.The sum of two consecutive whole numbers is 119. What is the smallest of them?
5. 5.Use (a + b)(a − b) = a² − b² to find 62 × 58.
6. 6.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
7. 7.4.6 × 10⁷ =
8. 8.What is √9801? =
9. 9.If a + b = 16 and ab = 63, what is a² + b²?
10. 10.Solve: 4y + 3 = 3y + 6. What is y?
11. 11.Write (6⁸)⁸ as a single power 6ⁿ. What is n?
12. 12.Solve: 6(x − 3) = 2x + 2. What is x?
13. 13.Use (a + b)² = a² + 2ab + b² to find 29².
14. 14.Find the compound interest on ₹10200 at 20% per year for 2 years, compounded every year (in ₹).
15. 15.Use a² − b² = (a + b)(a − b) to find 28² − 4².
16. 16.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
17. 17.A town has 21100 people. The population grows by 5% every year. What will the population be after 1 year?
18. 18.What is √2916? =
19. 19.Use (a − b)² = a² − 2ab + b² to find 24².
20. 20.What is the value of 7⁴? =
21. 21.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
22. 22.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
23. 23.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
24. 24.Use (a − b)² = a² − 2ab + b² to find 75².
25. 25.A room is 7 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
26. 26.What is √3721? =
27. 27.If a − b = 2 and ab = 63, what is a² + b²?
28. 28.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
29. 29.What is the value of 3⁷? =
30. 30.A town has 55000 people. The population grows by 15% every year. What will the population be after 1 year?
31. 31.A trapezium has parallel sides of 7 cm and 22 cm, and the distance between them is 8 cm. What is its area (in square cm)?
32. 32.Which of these is a perfect square? (a) 919 (b) 900 (c) 915
33. 33.What is √1936? =
34. 34.What is the difference between the compound interest and the simple interest on ₹10000 at 4% per year for 2 years (in ₹)?
35. 35.Use (a + b)(a − b) = a² − b² to find 105 × 95.
36. 36.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
37. 37.How many whole numbers lie between 26² and 27²?
38. 38.What is √484? =
39. 39.Solve: 6(p − 5) = p + 20. What is p?
40. 40.Write (9³)⁶ as a single power 9ⁿ. What is n?

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