Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 87 · 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.What is the value of 2⁸? =
2. 2.Solve: 3(y − 1) = y + 25. What is y?
3. 3.Write 3⁶ × 3⁹ as a single power 3ⁿ. What is n?
4. 4.What is 9³? =
5. 5.Write 4⁹ ÷ 4⁵ as a single power 4ⁿ. What is n?
6. 6.The length of a rectangle is 12 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
7. 7.What is ∛10648? =
8. 8.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
9. 9.What amount will ₹38800 grow to in 2 years at 15% per year compound interest (in ₹)?
10. 10.6.8 × 10² =
11. 11.What is 56²? =
12. 12.What is 54²? =
13. 13.Find the compound interest on ₹57000 at 20% per year for 3 years, compounded every year (in ₹).
14. 14.Use (a + b)² = a² + 2ab + b² to find 38².
15. 15.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
16. 16.Which of these is a perfect cube? (a) 2937 (b) 2744 (c) 2911
17. 17.What is the value of 10⁻¹ (as a fraction)? =
18. 18.Solve: 5(y − 5) = y + 23. What is y?
19. 19.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
20. 20.A trapezium has parallel sides of 24 cm and 7 cm, and the distance between them is 16 cm. What is its area (in square cm)?
21. 21.What is 77²? =
22. 22.Solve: 4(y − 5) = 2y + 6. What is y?
23. 23.Use a² − b² = (a + b)(a − b) to find 29² − 19².
24. 24.What is the smallest whole number by which 50 must be divided to get a perfect square?
25. 25.A trapezium has an area of 270 square cm. Its parallel sides are 9 cm and 18 cm. What is the distance between them (in cm)?
26. 26.Find the value of x² − y² when x = 7 and y = 6.
27. 27.The length of a rectangle is 12 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
28. 28.Solve: 6(y − 5) = 4y + 4. What is y?
29. 29.What is the difference between the compound interest and the simple interest on ₹26400 at 5% per year for 2 years (in ₹)?
30. 30.Solve: x/6 + x/5 = 66. What is x?
31. 31.A square garden has an area of 1369 square m. How long is each side (in m)?
32. 32.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
33. 33.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
34. 34.What is 47²? =
35. 35.Use (a − b)² = a² − 2ab + b² to find 38².
36. 36.A cuboid is 10 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
37. 37.Use a² − b² = (a + b)(a − b) to find 36² − 4².
38. 38.A room is 9 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
39. 39.A town has 4500 people. The population grows by 20% every year. What will the population be after 3 years?
40. 40.What is the value of 10²? =

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