Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 111 · 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.Use (a − b)² = a² − 2ab + b² to find 16².
2. 2.What is the value of 4⁻³ (as a fraction)? =
3. 3.A scooter is worth ₹12300. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
4. 4.Solve: 4(y − 2) = y + 34. What is y?
5. 5.What is the value of (1/5)⁻¹? =
6. 6.Use (a + b)² = a² + 2ab + b² to find 13².
7. 7.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
8. 8.A room is 5 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
9. 9.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
10. 10.Solve: 8p + 13 = 2p + 103. What is p?
11. 11.Write 2⁷ × 2² as a single power 2ⁿ. What is n?
12. 12.A scooter is worth ₹3400. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
13. 13.Find the compound interest on ₹49900 at 4% per year for 1 year, compounded every year (in ₹).
14. 14.Find the compound interest on ₹15000 at 12% per year for 2 years, compounded every year (in ₹).
15. 15.Which of these is a perfect square? (a) 1640 (b) 1600 (c) 1614
16. 16.What is ∛729? =
17. 17.What is the value of 5⁷? =
18. 18.A scooter is worth ₹5600. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
19. 19.Which of these is a perfect square? (a) 529 (b) 570 (c) 536
20. 20.A trapezium has an area of 170 square cm. Its parallel sides are 28 cm and 6 cm. What is the distance between them (in cm)?
21. 21.How many whole numbers lie between 26² and 27²?
22. 22.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
23. 23.What is the value of 8⁴? =
24. 24.Solve: m/6 + m/3 = 24. What is m?
25. 25.What is 11³? =
26. 26.Use (a − b)² = a² − 2ab + b² to find 23².
27. 27.What is the value of 5⁶ × 5⁻⁴? =
28. 28.Find the compound interest on ₹4600 at 5% per year for 1 year, compounded every year (in ₹).
29. 29.What is the difference between the compound interest and the simple interest on ₹25900 at 10% per year for 2 years (in ₹)?
30. 30.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
31. 31.A cuboid is 9 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
32. 32.A father is 39 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
33. 33.What amount will ₹24000 grow to in 3 years at 5% per year compound interest (in ₹)?
34. 34.Find the value of x² − 2xy + y² when x = 3 and y = 2.
35. 35.Find the value of x² + 2xy + y² when x = 15 and y = 10.
36. 36.How many whole numbers lie between 16² and 17²?
37. 37.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
38. 38.Write 2.1 × 10⁻⁴ as a decimal. =
39. 39.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
40. 40.What is the smallest whole number by which 810 must be multiplied to get a perfect square?

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