Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 827 · 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 scooter is worth ₹40000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
2. 2.What is the value of 3⁶ × 3⁻⁵? =
3. 3.Which of these is a perfect cube? (a) 1400 (b) 1674 (c) 1331
4. 4.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
5. 5.Use (a + b)² = a² + 2ab + b² to find 109².
6. 6.A room is 9 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
7. 7.Solve: 4(y − 4) = 3y + 12. What is y?
8. 8.Find the value of x² − 2xy + y² when x = 13 and y = 5.
9. 9.Use a² − b² = (a + b)(a − b) to find 77² − 69².
10. 10.Write 9.6 × 10⁻⁴ as a decimal. =
11. 11.Write 8³ × 8⁴ as a single power 8ⁿ. What is n?
12. 12.A scooter is worth ₹7000. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
13. 13.What is the smallest whole number by which 63 must be multiplied to get a perfect square?
14. 14.Write (5⁵)⁵ as a single power 5ⁿ. What is n?
15. 15.The sum of four consecutive whole numbers is 86. What is the smallest of them?
16. 16.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
17. 17.Solve: 8x + 15 = x + 29. What is x?
18. 18.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
19. 19.Use (a − b)² = a² − 2ab + b² to find 96².
20. 20.The length of a rectangle is 3 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
21. 21.A trapezium has an area of 104 square cm. Its parallel sides are 9 cm and 7 cm. What is the distance between them (in cm)?
22. 22.9 × 10⁷ =
23. 23.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
24. 24.Which of these is a perfect cube? (a) 3757 (b) 3802 (c) 3375
25. 25.What is the value of (1/8)⁻²? =
26. 26.What is the value of 10⁵ × 10⁻²? =
27. 27.Use (a − b)² = a² − 2ab + b² to find 79².
28. 28.Solve: 5p + 6 = p + 38. What is p?
29. 29.A trapezium has an area of 74 square cm. Its parallel sides are 8 cm and 29 cm. What is the distance between them (in cm)?
30. 30.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
31. 31.Write 5.5 × 10⁻² as a decimal. =
32. 32.A scooter is worth ₹2800. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
33. 33.What is the value of 3⁻² (as a fraction)? =
34. 34.Solve: 3(p − 1) = p + 17. What is p?
35. 35.Find the value of x² − y² when x = 11 and y = 10.
36. 36.Which of these is a perfect square? (a) 228 (b) 225 (c) 242
37. 37.Use (a − b)² = a² − 2ab + b² to find 56².
38. 38.Use (a + b)(a − b) = a² − b² to find 108 × 92.
39. 39.A father is 26 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
40. 40.A room is 7 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?

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