Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 473 · 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.A town has 54800 people. The population grows by 25% every year. What will the population be after 2 years?
2. 2.A cuboid is 10 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
3. 3.What is the difference between the compound interest and the simple interest on ₹37200 at 10% per year for 2 years (in ₹)?
4. 4.A trapezium has an area of 148 square cm. Its parallel sides are 30 cm and 7 cm. What is the distance between them (in cm)?
5. 5.Use (a + b)(a − b) = a² − b² to find 67 × 53.
6. 6.Use (a + b)² = a² + 2ab + b² to find 69².
7. 7.A father is 7 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
8. 8.Write 9⁶ × 9⁸ as a single power 9ⁿ. What is n?
9. 9.What is √841? =
10. 10.Which of these is a perfect square? (a) 144 (b) 149 (c) 166
11. 11.A trapezium has parallel sides of 24 cm and 23 cm, and the distance between them is 18 cm. What is its area (in square cm)?
12. 12.A scooter is worth ₹12900. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
13. 13.If a + b = 11 and ab = 24, what is a² + b²?
14. 14.Write 6.2 × 10⁻¹ as a decimal. =
15. 15.What amount will ₹12600 grow to in 1 year at 20% per year compound interest (in ₹)?
16. 16.A square garden has an area of 784 square m. How long is each side (in m)?
17. 17.What is the difference between the compound interest and the simple interest on ₹52800 at 5% per year for 2 years (in ₹)?
18. 18.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
19. 19.What is the difference between the compound interest and the simple interest on ₹12800 at 5% per year for 2 years (in ₹)?
20. 20.Which of these is a perfect cube? (a) 1904 (b) 1728 (c) 1969
21. 21.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
22. 22.Use (a + b)(a − b) = a² − b² to find 22 × 18.
23. 23.Write 9.3 × 10⁻⁴ as a decimal. =
24. 24.Solve: 6n + 7 = 5n + 22. What is n?
25. 25.Use (a + b)² = a² + 2ab + b² to find 28².
26. 26.Solve: 6x + 19 = 3x + 61. What is x?
27. 27.A trapezium has an area of 155 square cm. Its parallel sides are 29 cm and 2 cm. What is the distance between them (in cm)?
28. 28.What is 48²? =
29. 29.A scooter is worth ₹7300. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
30. 30.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
31. 31.Use (a − b)² = a² − 2ab + b² to find 59².
32. 32.What is √1849? =
33. 33.A father is 14 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
34. 34.A room is 6 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
35. 35.The diagonals of a rhombus are 20 cm and 15 cm. What is its area (in square cm)?
36. 36.A square garden has an area of 529 square m. How long is each side (in m)?
37. 37.Find the compound interest on ₹8600 at 10% per year for 1 year, compounded every year (in ₹).
38. 38.What is the value of 2⁵ × 2⁻¹? =
39. 39.What is ∛343? =
40. 40.What is the value of 3⁹? =

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