Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 207 · 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 room is 6 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
2. 2.Use a² − b² = (a + b)(a − b) to find 69² − 27².
3. 3.6.9 × 10² =
4. 4.What is the smallest whole number by which 180 must be multiplied to get a perfect square?
5. 5.Write (7²)² as a single power 7ⁿ. What is n?
6. 6.Solve: 3(p − 3) = p + 11. What is p?
7. 7.What is the difference between the compound interest and the simple interest on ₹2500 at 8% per year for 2 years (in ₹)?
8. 8.Use (a + b)² = a² + 2ab + b² to find 83².
9. 9.Use (a + b)(a − b) = a² − b² to find 67 × 53.
10. 10.Use (a + b)² = a² + 2ab + b² to find 29².
11. 11.1.3 × 10² =
12. 12.What is √7569? =
13. 13.What is 4³? =
14. 14.The diagonals of a rhombus are 4 cm and 6 cm. What is its area (in square cm)?
15. 15.Use (a − b)² = a² − 2ab + b² to find 45².
16. 16.Solve: 3(x − 3) = x + 3. What is x?
17. 17.Use (a − b)² = a² − 2ab + b² to find 25².
18. 18.How many whole numbers lie between 15² and 16²?
19. 19.The diagonals of a rhombus are 4 cm and 13 cm. What is its area (in square cm)?
20. 20.What is the value of (7/8)⁻²? =
21. 21.What is the difference between the compound interest and the simple interest on ₹49700 at 20% per year for 2 years (in ₹)?
22. 22.Write (2⁵)² as a single power 2ⁿ. What is n?
23. 23.What is the value of (1/3)⁻¹? =
24. 24.A cuboid is 15 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
25. 25.What is the value of 4⁵? =
26. 26.Use (a + b)(a − b) = a² − b² to find 43 × 37.
27. 27.A trapezium has an area of 234 square cm. Its parallel sides are 17 cm and 22 cm. What is the distance between them (in cm)?
28. 28.What is the difference between the compound interest and the simple interest on ₹17800 at 10% per year for 2 years (in ₹)?
29. 29.A trapezium has an area of 168 square cm. Its parallel sides are 27 cm and 29 cm. What is the distance between them (in cm)?
30. 30.Use (a + b)(a − b) = a² − b² to find 91 × 89.
31. 31.What is 90²? =
32. 32.What is 8³? =
33. 33.A father is 8 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 cuboid is 3 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
35. 35.What is the difference between the compound interest and the simple interest on ₹10000 at 15% per year for 2 years (in ₹)?
36. 36.Use (a + b)² = a² + 2ab + b² to find 99².
37. 37.Find the value of x² − y² when x = 8 and y = 7.
38. 38.Use (a − b)² = a² − 2ab + b² to find 92².
39. 39.Solve: 6x + 15 = 3x + 30. What is x?
40. 40.Which of these is a perfect cube? (a) 1728 (b) 2159 (c) 1818

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