Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 887 · 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.Find the compound interest on ₹10000 at 4% per year for 2 years, compounded every year (in ₹).
2. 2.What is the smallest whole number by which 192 must be multiplied to get a perfect square?
3. 3.What is the smallest whole number by which 539 must be multiplied to get a perfect square?
4. 4.What is ∛1000? =
5. 5.The length of a rectangle is 11 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
6. 6.What is √8100? =
7. 7.Solve: m/3 + m/6 = 3. What is m?
8. 8.What is the value of 5¹ × 5⁻²? =
9. 9.Find the value of x² + 2xy + y² when x = 15 and y = 4.
10. 10.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
11. 11.What is the smallest whole number by which 243 must be divided to get a perfect cube?
12. 12.What amount will ₹8000 grow to in 3 years at 15% per year compound interest (in ₹)?
13. 13.What is ∛2197? =
14. 14.Which of these is a perfect square? (a) 1520 (b) 1444 (c) 1484
15. 15.A cuboid is 15 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
16. 16.What is the difference between the compound interest and the simple interest on ₹2400 at 15% per year for 2 years (in ₹)?
17. 17.What is ∛8000? =
18. 18.A father is 15 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
19. 19.What is 66²? =
20. 20.What is √1600? =
21. 21.Solve: 4m + 5 = m + 20. What is m?
22. 22.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
23. 23.Write 9⁹ ÷ 9⁵ as a single power 9ⁿ. What is n?
24. 24.A room is 3 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
25. 25.A trapezium has parallel sides of 19 cm and 21 cm, and the distance between them is 9 cm. What is its area (in square cm)?
26. 26.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
27. 27.Use (a − b)² = a² − 2ab + b² to find 99².
28. 28.What is the value of 3⁶ × 3⁻⁴? =
29. 29.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
30. 30.What is the value of 3¹⁰? =
31. 31.A father is 30 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?
32. 32.A square garden has an area of 81 square m. How long is each side (in m)?
33. 33.What is the value of 3⁻⁵ (as a fraction)? =
34. 34.How many whole numbers lie between 7² and 8²?
35. 35.What amount will ₹48000 grow to in 3 years at 15% per year compound interest (in ₹)?
36. 36.A cuboid is 5 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
37. 37.Write 2 × 10⁻⁴ as a decimal. =
38. 38.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
39. 39.Solve: m/2 + m/5 = 56. What is m?
40. 40.A scooter is worth ₹56000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?

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