Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 723 · 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 7⁴? =
2. 2.What is the value of 2³? =
3. 3.Solve: 6(m − 1) = 4m + 8. What is m?
4. 4.A trapezium has an area of 140 square cm. Its parallel sides are 28 cm and 12 cm. What is the distance between them (in cm)?
5. 5.Which of these is a perfect square? (a) 1585 (b) 1521 (c) 1546
6. 6.A father is 10 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
7. 7.Use (a + b)(a − b) = a² − b² to find 32 × 28.
8. 8.What is the value of 2⁶? =
9. 9.Use a² − b² = (a + b)(a − b) to find 71² − 23².
10. 10.What is the value of 9⁴? =
11. 11.What is the value of 6³? =
12. 12.A town has 44800 people. The population grows by 20% every year. What will the population be after 2 years?
13. 13.Find the compound interest on ₹17200 at 10% per year for 2 years, compounded every year (in ₹).
14. 14.What is 10³? =
15. 15.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
16. 16.Use (a + b)(a − b) = a² − b² to find 22 × 18.
17. 17.A scooter is worth ₹46800. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
18. 18.1.1 × 10⁴ =
19. 19.Use (a + b)² = a² + 2ab + b² to find 95².
20. 20.A cuboid is 5 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
21. 21.What is 57²? =
22. 22.A cuboid is 5 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
23. 23.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
24. 24.A father is 12 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
25. 25.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
26. 26.If a + b = 7 and ab = 10, what is a² + b²?
27. 27.Use (a + b)(a − b) = a² − b² to find 47 × 33.
28. 28.A trapezium has parallel sides of 13 cm and 5 cm, and the distance between them is 19 cm. What is its area (in square cm)?
29. 29.Use (a + b)(a − b) = a² − b² to find 92 × 88.
30. 30.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
31. 31.Use (a + b)(a − b) = a² − b² to find 55 × 45.
32. 32.The length of a rectangle is 6 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
33. 33.Find the compound interest on ₹53100 at 10% per year for 1 year, compounded every year (in ₹).
34. 34.How many whole numbers lie between 27² and 28²?
35. 35.Which of these is a perfect cube? (a) 1153 (b) 1000 (c) 1018
36. 36.What is ∛12167? =
37. 37.Write 6⁹ ÷ 6⁷ as a single power 6ⁿ. What is n?
38. 38.What is √9801? =
39. 39.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
40. 40.A father is 11 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?

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