Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 329 · 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.Find the value of x² + 2xy + y² when x = 10 and y = 8.
2. 2.What is the difference between the compound interest and the simple interest on ₹19600 at 5% per year for 2 years (in ₹)?
3. 3.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
4. 4.Use (a + b)(a − b) = a² − b² to find 44 × 36.
5. 5.What is the difference between the compound interest and the simple interest on ₹15600 at 20% per year for 2 years (in ₹)?
6. 6.Use a² − b² = (a + b)(a − b) to find 20² − 17².
7. 7.Use (a − b)² = a² − 2ab + b² to find 78².
8. 8.Write 8⁶ ÷ 8³ as a single power 8ⁿ. What is n?
9. 9.Use (a + b)² = a² + 2ab + b² to find 99².
10. 10.Solve: x/3 + x/4 = 56. What is x?
11. 11.What is the value of 3³? =
12. 12.Find the compound interest on ₹2000 at 20% per year for 3 years, compounded every year (in ₹).
13. 13.What is the smallest whole number by which 675 must be divided to get a perfect cube?
14. 14.What is √784? =
15. 15.Solve: 6(p − 2) = 2p + 40. What is p?
16. 16.Which of these is a perfect cube? (a) 522 (b) 512 (c) 587
17. 17.What is 18³? =
18. 18.Use (a + b)² = a² + 2ab + b² to find 63².
19. 19.What is 68²? =
20. 20.What is the value of 3⁶? =
21. 21.Find the value of x² + 2xy + y² when x = 14 and y = 12.
22. 22.What is the value of 6⁶? =
23. 23.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
24. 24.Write 8⁴ × 8⁵ as a single power 8ⁿ. What is n?
25. 25.What is the value of 5⁵ × 5⁻²? =
26. 26.Use (a − b)² = a² − 2ab + b² to find 32².
27. 27.What is the difference between the compound interest and the simple interest on ₹32500 at 4% per year for 2 years (in ₹)?
28. 28.Which of these is a perfect square? (a) 1444 (b) 1515 (c) 1473
29. 29.Use (a − b)² = a² − 2ab + b² to find 74².
30. 30.What is 10³? =
31. 31.What is the smallest whole number by which 325 must be multiplied to get a perfect square?
32. 32.Use (a + b)² = a² + 2ab + b² to find 11².
33. 33.A trapezium has an area of 390 square cm. Its parallel sides are 18 cm and 21 cm. What is the distance between them (in cm)?
34. 34.A cuboid is 5 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
35. 35.Solve: y/2 + y/3 = 10. What is y?
36. 36.What is 74²? =
37. 37.What is the smallest whole number by which 294 must be divided to get a perfect square?
38. 38.What is 67²? =
39. 39.What is 6³? =
40. 40.Write 2.9 × 10⁻³ as a decimal. =

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