Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 306 · 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.Solve: 3(y − 3) = 2y + 11. What is y?
2. 2.Write 18,000 in standard form as 1.8 × 10ⁿ. What is n?
3. 3.A room is 8 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
4. 4.The length of a rectangle is 14 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
5. 5.Which of these is a perfect cube? (a) 742 (b) 729 (c) 819
6. 6.What is the difference between the compound interest and the simple interest on ₹24400 at 10% per year for 2 years (in ₹)?
7. 7.What is 18³? =
8. 8.The sum of three consecutive whole numbers is 135. What is the largest of them?
9. 9.Write (2²)⁷ as a single power 2ⁿ. What is n?
10. 10.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
11. 11.What is 17³? =
12. 12.The length of a rectangle is 3 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
13. 13.Find the compound interest on ₹21600 at 10% per year for 1 year, compounded every year (in ₹).
14. 14.5.6 × 10⁵ =
15. 15.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
16. 16.What is √729? =
17. 17.How many whole numbers lie between 32² and 33²?
18. 18.A square garden has an area of 1156 square m. How long is each side (in m)?
19. 19.What is 80²? =
20. 20.What is √3600? =
21. 21.A room is 4 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
22. 22.Use (a + b)(a − b) = a² − b² to find 81 × 79.
23. 23.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
24. 24.If a − b = 4 and ab = 21, what is a² + b²?
25. 25.What amount will ₹32000 grow to in 3 years at 15% per year compound interest (in ₹)?
26. 26.A room is 7 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
27. 27.What is the smallest whole number by which 180 must be divided to get a perfect square?
28. 28.Solve: 5p + 3 = p + 7. What is p?
29. 29.7.1 × 10⁴ =
30. 30.A trapezium has an area of 494 square cm. Its parallel sides are 29 cm and 23 cm. What is the distance between them (in cm)?
31. 31.What amount will ₹35000 grow to in 3 years at 10% per year compound interest (in ₹)?
32. 32.What amount will ₹14000 grow to in 3 years at 10% per year compound interest (in ₹)?
33. 33.Solve: y/2 + y/6 = 4. What is y?
34. 34.The length of a rectangle is 11 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
35. 35.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
36. 36.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
37. 37.What is the difference between the compound interest and the simple interest on ₹37500 at 12% per year for 2 years (in ₹)?
38. 38.A trapezium has parallel sides of 7 cm and 14 cm, and the distance between them is 8 cm. What is its area (in square cm)?
39. 39.The diagonals of a rhombus are 22 cm and 5 cm. What is its area (in square cm)?
40. 40.Write 8¹³ ÷ 8⁹ as a single power 8ⁿ. What is n?

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