Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 809 · 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) 110 (b) 108 (c) 64
2. 2.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
3. 3.The diagonals of a rhombus are 24 cm and 13 cm. What is its area (in square cm)?
4. 4.Use (a + b)(a − b) = a² − b² to find 31 × 29.
5. 5.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
6. 6.Find the compound interest on ₹18300 at 12% per year for 1 year, compounded every year (in ₹).
7. 7.What is 44²? =
8. 8.What amount will ₹12500 grow to in 2 years at 8% per year compound interest (in ₹)?
9. 9.How many whole numbers lie between 42² and 43²?
10. 10.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
11. 11.A trapezium has an area of 423 square cm. Its parallel sides are 24 cm and 23 cm. What is the distance between them (in cm)?
12. 12.A trapezium has parallel sides of 28 cm and 16 cm, and the distance between them is 7 cm. What is its area (in square cm)?
13. 13.What is 11²? =
14. 14.Find the compound interest on ₹46700 at 20% per year for 2 years, compounded every year (in ₹).
15. 15.Write 2.2 × 10⁻³ as a decimal. =
16. 16.What is √5929? =
17. 17.A room is 9 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
18. 18.What is the value of 9⁻³ (as a fraction)? =
19. 19.A scooter is worth ₹40000. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
20. 20.What amount will ₹19200 grow to in 2 years at 20% per year compound interest (in ₹)?
21. 21.What is the value of (1/9)⁻¹? =
22. 22.What is the difference between the compound interest and the simple interest on ₹38800 at 5% per year for 2 years (in ₹)?
23. 23.Use (a + b)(a − b) = a² − b² to find 73 × 67.
24. 24.The length of a rectangle is 11 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
25. 25.What is the value of 2⁻¹ (as a fraction)? =
26. 26.Use (a + b)(a − b) = a² − b² to find 42 × 38.
27. 27.What is the difference between the compound interest and the simple interest on ₹14000 at 5% per year for 2 years (in ₹)?
28. 28.What is ∛3375? =
29. 29.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
30. 30.The length of a rectangle is 2 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
31. 31.5.8 × 10³ =
32. 32.What is 4³? =
33. 33.What is ∛729? =
34. 34.Use a² − b² = (a + b)(a − b) to find 48² − 29².
35. 35.What is the value of 3¹⁰? =
36. 36.A room is 11 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
37. 37.What amount will ₹52500 grow to in 2 years at 12% per year compound interest (in ₹)?
38. 38.What is √8100? =
39. 39.A trapezium has parallel sides of 24 cm and 12 cm, and the distance between them is 20 cm. What is its area (in square cm)?
40. 40.Write 7¹⁷ ÷ 7⁹ as a single power 7ⁿ. What is n?

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