Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 445 · 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) 99 (b) 64 (c) 67
2. 2.Use (a + b)² = a² + 2ab + b² to find 73².
3. 3.Find the value of x² − 2xy + y² when x = 8 and y = 3.
4. 4.What is √576? =
5. 5.Use a² − b² = (a + b)(a − b) to find 83² − 60².
6. 6.A father is 27 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
7. 7.What amount will ₹58000 grow to in 1 year at 4% per year compound interest (in ₹)?
8. 8.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
9. 9.Use (a + b)² = a² + 2ab + b² to find 25².
10. 10.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
11. 11.The sum of two consecutive whole numbers is 75. What is the smallest of them?
12. 12.What is the value of 10¹ × 10⁻²? =
13. 13.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
14. 14.The length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
15. 15.What is 17²? =
16. 16.Which of these is a perfect square? (a) 325 (b) 324 (c) 335
17. 17.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
18. 18.What is the value of 5⁶? =
19. 19.Write 9¹¹ ÷ 9⁶ as a single power 9ⁿ. What is n?
20. 20.A room is 9 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
21. 21.Write 4⁸ × 4⁵ as a single power 4ⁿ. What is n?
22. 22.Find the compound interest on ₹36500 at 10% per year for 1 year, compounded every year (in ₹).
23. 23.A room is 5 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
24. 24.What is the value of 5⁷? =
25. 25.Use (a + b)² = a² + 2ab + b² to find 41².
26. 26.Find the compound interest on ₹19700 at 15% per year for 1 year, compounded every year (in ₹).
27. 27.A trapezium has an area of 164 square cm. Its parallel sides are 29 cm and 12 cm. What is the distance between them (in cm)?
28. 28.What is the value of 3⁻⁴ (as a fraction)? =
29. 29.Use (a − b)² = a² − 2ab + b² to find 93².
30. 30.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
31. 31.Solve: y/3 + y/4 = 56. What is y?
32. 32.If a − b = 4 and ab = 32, what is a² + b²?
33. 33.Write 3.9 × 10⁻² as a decimal. =
34. 34.What is the difference between the compound interest and the simple interest on ₹11600 at 5% per year for 2 years (in ₹)?
35. 35.A room is 3 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
36. 36.Write 5.9 × 10⁻³ as a decimal. =
37. 37.What is ∛216? =
38. 38.Find the compound interest on ₹59600 at 5% per year for 2 years, compounded every year (in ₹).
39. 39.How many whole numbers lie between 6² and 7²?
40. 40.Write 1.2 × 10⁻¹ as a decimal. =

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