Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 537 · 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 trapezium has parallel sides of 20 cm and 25 cm, and the distance between them is 12 cm. What is its area (in square cm)?
2. 2.If a + b = 18 and ab = 77, what is a² + b²?
3. 3.The diagonals of a rhombus are 8 cm and 24 cm. What is its area (in square cm)?
4. 4.A room is 10 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
5. 5.What amount will ₹25500 grow to in 3 years at 20% per year compound interest (in ₹)?
6. 6.Write 33,00,000 in standard form as 3.3 × 10ⁿ. What is n?
7. 7.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
8. 8.A trapezium has parallel sides of 14 cm and 27 cm, and the distance between them is 4 cm. What is its area (in square cm)?
9. 9.Use (a − b)² = a² − 2ab + b² to find 21².
10. 10.Use (a − b)² = a² − 2ab + b² to find 92².
11. 11.A trapezium has an area of 33 square cm. Its parallel sides are 24 cm and 9 cm. What is the distance between them (in cm)?
12. 12.What is the value of 10⁻³ (as a fraction)? =
13. 13.Use (a − b)² = a² − 2ab + b² to find 33².
14. 14.The diagonals of a rhombus are 28 cm and 6 cm. What is its area (in square cm)?
15. 15.What is ∛27? =
16. 16.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
17. 17.What is the value of 10³ × 10⁻⁴? =
18. 18.What is √1156? =
19. 19.Find the compound interest on ₹37500 at 8% per year for 2 years, compounded every year (in ₹).
20. 20.A cuboid is 11 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
21. 21.Use (a + b)(a − b) = a² − b² to find 72 × 68.
22. 22.Find the compound interest on ₹56400 at 5% per year for 2 years, compounded every year (in ₹).
23. 23.A scooter is worth ₹4400. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
24. 24.Use (a + b)² = a² + 2ab + b² to find 62².
25. 25.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
26. 26.What is 55²? =
27. 27.Use a² − b² = (a + b)(a − b) to find 84² − 32².
28. 28.Use a² − b² = (a + b)(a − b) to find 29² − 10².
29. 29.A scooter is worth ₹31000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
30. 30.Which of these is a perfect square? (a) 690 (b) 676 (c) 688
31. 31.What is √2025? =
32. 32.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
33. 33.A father is 24 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
34. 34.A father is 48 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
35. 35.What is the value of 3⁶ × 3⁻²? =
36. 36.A cuboid is 15 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
37. 37.The sum of three consecutive whole numbers is 21. What is the largest of them?
38. 38.Write 5.9 × 10⁻² as a decimal. =
39. 39.Use (a + b)² = a² + 2ab + b² to find 63².
40. 40.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

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