Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 975 · 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.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
2. 2.Which of these is a perfect cube? (a) 415 (b) 343 (c) 471
3. 3.What is the value of 5⁷? =
4. 4.Solve: n/2 + n/3 = 10. What is n?
5. 5.Which of these is a perfect cube? (a) 3593 (b) 3486 (c) 3375
6. 6.Solve: 7p + 1 = 3p + 13. What is p?
7. 7.If a + b = 23 and ab = 132, what is a² + b²?
8. 8.Solve: y/4 + y/3 = 35. What is y?
9. 9.Use (a + b)(a − b) = a² − b² to find 99 × 81.
10. 10.Use (a + b)² = a² + 2ab + b² to find 21².
11. 11.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
12. 12.Use (a − b)² = a² − 2ab + b² to find 69².
13. 13.How many whole numbers lie between 49² and 50²?
14. 14.A room is 7 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
15. 15.A room is 4 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
16. 16.A scooter is worth ₹52500. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
17. 17.What is √1225? =
18. 18.The diagonals of a rhombus are 18 cm and 20 cm. What is its area (in square cm)?
19. 19.What is the value of 3⁶? =
20. 20.What is the value of 9⁻³ (as a fraction)? =
21. 21.What is 28²? =
22. 22.A trapezium has parallel sides of 12 cm and 22 cm, and the distance between them is 8 cm. What is its area (in square cm)?
23. 23.What is 27²? =
24. 24.Use (a + b)(a − b) = a² − b² to find 25 × 15.
25. 25.A room is 10 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
26. 26.A trapezium has an area of 63 square cm. Its parallel sides are 13 cm and 8 cm. What is the distance between them (in cm)?
27. 27.Use a² − b² = (a + b)(a − b) to find 38² − 17².
28. 28.If a + b = 14 and ab = 24, what is a² + b²?
29. 29.A trapezium has an area of 190 square cm. Its parallel sides are 13 cm and 7 cm. What is the distance between them (in cm)?
30. 30.Write 5.5 × 10⁻⁴ as a decimal. =
31. 31.What is 37²? =
32. 32.Find the compound interest on ₹26400 at 25% per year for 1 year, compounded every year (in ₹).
33. 33.What is the smallest whole number by which 245 must be multiplied to get a perfect square?
34. 34.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
35. 35.The length of a rectangle is 11 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
36. 36.The length of a rectangle is 15 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
37. 37.If a + b = 14 and ab = 48, what is a² + b²?
38. 38.A trapezium has an area of 27 square cm. Its parallel sides are 10 cm and 17 cm. What is the distance between them (in cm)?
39. 39.8.3 × 10⁴ =
40. 40.What is the value of 5⁵? =

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