Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 385 · 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.Write 5⁶ ÷ 5⁴ as a single power 5ⁿ. What is n?
2. 2.Use (a + b)(a − b) = a² − b² to find 83 × 77.
3. 3.Solve: n/2 + n/4 = 24. What is n?
4. 4.What amount will ₹1600 grow to in 3 years at 25% per year compound interest (in ₹)?
5. 5.What is ∛13824? =
6. 6.Use a² − b² = (a + b)(a − b) to find 89² − 32².
7. 7.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
8. 8.What is the difference between the compound interest and the simple interest on ₹20800 at 15% per year for 2 years (in ₹)?
9. 9.If a − b = 1 and ab = 6, what is a² + b²?
10. 10.A trapezium has parallel sides of 15 cm and 30 cm, and the distance between them is 10 cm. What is its area (in square cm)?
11. 11.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
12. 12.What is the difference between the compound interest and the simple interest on ₹37500 at 4% per year for 2 years (in ₹)?
13. 13.Find the compound interest on ₹29000 at 20% per year for 1 year, compounded every year (in ₹).
14. 14.Find the value of x² − 2xy + y² when x = 6 and y = 1.
15. 15.Solve: y/6 + y/3 = 24. What is y?
16. 16.What is the value of 3¹ × 3⁻²? =
17. 17.Find the compound interest on ₹59900 at 5% per year for 1 year, compounded every year (in ₹).
18. 18.What amount will ₹40000 grow to in 3 years at 5% per year compound interest (in ₹)?
19. 19.What amount will ₹17600 grow to in 2 years at 15% per year compound interest (in ₹)?
20. 20.What is √2304? =
21. 21.What is the value of 8³? =
22. 22.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
23. 23.Write (9⁸)⁶ as a single power 9ⁿ. What is n?
24. 24.What is 18³? =
25. 25.What is the value of 5³ × 5⁻⁴? =
26. 26.What is 22²? =
27. 27.What is the value of 2¹²? =
28. 28.Solve: 7n + 13 = 5n + 37. What is n?
29. 29.The length of a rectangle is 12 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
30. 30.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
31. 31.What is √5776? =
32. 32.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
33. 33.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
34. 34.A cuboid is 14 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
35. 35.Use (a − b)² = a² − 2ab + b² to find 69².
36. 36.Solve: 3(y − 3) = y + 13. What is y?
37. 37.A town has 48400 people. The population grows by 5% every year. What will the population be after 2 years?
38. 38.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
39. 39.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
40. 40.How many whole numbers lie between 28² and 29²?

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