Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 360 · 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.Which of these is a perfect cube? (a) 2197 (b) 2344 (c) 2354
2. 2.A room is 5 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
3. 3.Solve: 9t + 7 = 2t + 49. What is t?
4. 4.The length of a rectangle is 9 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
5. 5.Write 4⁵ × 4⁵ as a single power 4ⁿ. What is n?
6. 6.Solve: y/3 + y/6 = 15. What is y?
7. 7.What is √5625? =
8. 8.Write (3⁸)² as a single power 3ⁿ. What is n?
9. 9.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
10. 10.The diagonals of a rhombus are 18 cm and 27 cm. What is its area (in square cm)?
11. 11.What is 20³? =
12. 12.A town has 32400 people. The population grows by 15% every year. What will the population be after 2 years?
13. 13.Write 2⁴ ÷ 2² as a single power 2ⁿ. What is n?
14. 14.What is the value of 2⁴? =
15. 15.Write 65,00,000 in standard form as 6.5 × 10ⁿ. What is n?
16. 16.What is 11³? =
17. 17.A cuboid is 8 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
18. 18.What is the difference between the compound interest and the simple interest on ₹35000 at 12% per year for 2 years (in ₹)?
19. 19.A room is 10 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
20. 20.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)?
21. 21.What is the value of 10⁻³ (as a fraction)? =
22. 22.Solve: t/6 + t/3 = 9. What is t?
23. 23.Write 5.5 × 10⁻² as a decimal. =
24. 24.Use (a − b)² = a² − 2ab + b² to find 54².
25. 25.A trapezium has parallel sides of 14 cm and 4 cm, and the distance between them is 15 cm. What is its area (in square cm)?
26. 26.A cuboid is 14 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
27. 27.Write (6⁹)² as a single power 6ⁿ. What is n?
28. 28.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
29. 29.Use (a − b)² = a² − 2ab + b² to find 46².
30. 30.Use (a + b)(a − b) = a² − b² to find 41 × 39.
31. 31.The sum of three consecutive whole numbers is 66. What is the smallest of them?
32. 32.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
33. 33.What is √2304? =
34. 34.Use (a + b)(a − b) = a² − b² to find 81 × 79.
35. 35.Use (a − b)² = a² − 2ab + b² to find 12².
36. 36.The sum of three consecutive whole numbers is 90. What is the smallest of them?
37. 37.A town has 54400 people. The population grows by 25% every year. What will the population be after 2 years?
38. 38.Use (a + b)(a − b) = a² − b² to find 66 × 54.
39. 39.What amount will ₹36100 grow to in 1 year at 5% per year compound interest (in ₹)?
40. 40.What is the smallest whole number by which 40 must be divided to get a perfect cube?

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