Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 727 · 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 4¹⁵ ÷ 4⁶ as a single power 4ⁿ. What is n?
2. 2.Use a² − b² = (a + b)(a − b) to find 98² − 90².
3. 3.What amount will ₹8000 grow to in 3 years at 10% per year compound interest (in ₹)?
4. 4.A cuboid is 8 cm long, 10 cm wide and 9 cm high. What is its total surface area (in square cm)?
5. 5.Find the compound interest on ₹56500 at 20% per year for 1 year, compounded every year (in ₹).
6. 6.If a + b = 15 and ab = 50, what is a² + b²?
7. 7.A trapezium has parallel sides of 19 cm and 22 cm, and the distance between them is 20 cm. What is its area (in square cm)?
8. 8.Use (a − b)² = a² − 2ab + b² to find 33².
9. 9.What amount will ₹15300 grow to in 1 year at 20% per year compound interest (in ₹)?
10. 10.The length of a rectangle is 7 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
11. 11.What is ∛6859? =
12. 12.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
13. 13.A square garden has an area of 484 square m. How long is each side (in m)?
14. 14.Solve: t/2 + t/4 = 21. What is t?
15. 15.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
16. 16.A cuboid is 15 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
17. 17.What is √3364? =
18. 18.A cuboid is 9 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
19. 19.Use (a + b)² = a² + 2ab + b² to find 56².
20. 20.What amount will ₹6400 grow to in 2 years at 25% per year compound interest (in ₹)?
21. 21.A room is 8 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
22. 22.Write 6² × 6⁷ as a single power 6ⁿ. What is n?
23. 23.Use (a + b)(a − b) = a² − b² to find 25 × 15.
24. 24.What is √676? =
25. 25.Find the value of x² − 2xy + y² when x = 3 and y = 1.
26. 26.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
27. 27.Which of these is a perfect cube? (a) 38 (b) 27 (c) 52
28. 28.Use (a − b)² = a² − 2ab + b² to find 27².
29. 29.Use (a + b)(a − b) = a² − b² to find 94 × 86.
30. 30.8.4 × 10³ =
31. 31.A father is 26 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
32. 32.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
33. 33.Solve: 5(t − 5) = 2t + 26. What is t?
34. 34.A scooter is worth ₹26700. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
35. 35.Use (a − b)² = a² − 2ab + b² to find 38².
36. 36.A town has 56000 people. The population grows by 5% every year. What will the population be after 3 years?
37. 37.Which of these is a perfect square? (a) 373 (b) 361 (c) 390
38. 38.Find the value of x² + 2xy + y² when x = 3 and y = 1.
39. 39.Write 5⁴ × 5⁸ as a single power 5ⁿ. What is n?
40. 40.Use (a + b)(a − b) = a² − b² to find 22 × 18.

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