Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 732 · 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 5³ × 5⁻³? =
2. 2.What amount will ₹43900 grow to in 1 year at 5% per year compound interest (in ₹)?
3. 3.What is the value of 9⁻³ (as a fraction)? =
4. 4.A trapezium has an area of 300 square cm. Its parallel sides are 10 cm and 20 cm. What is the distance between them (in cm)?
5. 5.What is ∛9261? =
6. 6.Which of these is a perfect cube? (a) 49 (b) 27 (c) 50
7. 7.If a − b = 10 and ab = 24, what is a² + b²?
8. 8.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
9. 9.Write (4⁵)² as a single power 4ⁿ. What is n?
10. 10.What is √7056? =
11. 11.A trapezium has parallel sides of 22 cm and 2 cm, and the distance between them is 12 cm. What is its area (in square cm)?
12. 12.A father is 36 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
13. 13.Solve: m/5 + m/2 = 42. What is m?
14. 14.3.5 × 10⁵ =
15. 15.Use (a + b)² = a² + 2ab + b² to find 53².
16. 16.Use (a − b)² = a² − 2ab + b² to find 85².
17. 17.Find the compound interest on ₹57800 at 15% per year for 1 year, compounded every year (in ₹).
18. 18.What is ∛3375? =
19. 19.What is 5³? =
20. 20.Write 2.8 × 10⁻¹ as a decimal. =
21. 21.Solve: 3(m − 1) = 2m + 2. What is m?
22. 22.What amount will ₹10800 grow to in 1 year at 5% per year compound interest (in ₹)?
23. 23.Find the value of x² + 2xy + y² when x = 14 and y = 12.
24. 24.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
25. 25.A room is 4 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
26. 26.What is the value of 3⁷? =
27. 27.Which of these is a perfect cube? (a) 2882 (b) 2744 (c) 3017
28. 28.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
29. 29.Use (a + b)(a − b) = a² − b² to find 42 × 38.
30. 30.A square garden has an area of 400 square m. How long is each side (in m)?
31. 31.How many whole numbers lie between 19² and 20²?
32. 32.A town has 56000 people. The population grows by 5% every year. What will the population be after 3 years?
33. 33.Use (a + b)(a − b) = a² − b² to find 85 × 75.
34. 34.What is the difference between the compound interest and the simple interest on ₹10000 at 12% per year for 2 years (in ₹)?
35. 35.What is the difference between the compound interest and the simple interest on ₹50800 at 5% per year for 2 years (in ₹)?
36. 36.Which of these is a perfect square? (a) 676 (b) 691 (c) 701
37. 37.What is 99²? =
38. 38.A square garden has an area of 2916 square m. How long is each side (in m)?
39. 39.Find the compound interest on ₹8000 at 15% per year for 3 years, compounded every year (in ₹).
40. 40.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?

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