Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 54 · 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.What is the value of 2¹⁴? =
2. 2.If a − b = 6 and ab = 16, what is a² + b²?
3. 3.A cuboid is 14 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
4. 4.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
5. 5.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
6. 6.The sum of three consecutive whole numbers is 18. What is the largest of them?
7. 7.A scooter is worth ₹56000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
8. 8.The length of a rectangle is 6 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
9. 9.Find the compound interest on ₹8200 at 5% per year for 1 year, compounded every year (in ₹).
10. 10.What is the smallest whole number by which 875 must be divided to get a perfect cube?
11. 11.A trapezium has parallel sides of 16 cm and 6 cm, and the distance between them is 18 cm. What is its area (in square cm)?
12. 12.What is 45²? =
13. 13.Write 4.1 × 10⁻⁴ as a decimal. =
14. 14.How many whole numbers lie between 6² and 7²?
15. 15.Which of these is a perfect square? (a) 776 (b) 729 (c) 780
16. 16.Use a² − b² = (a + b)(a − b) to find 85² − 5².
17. 17.What is 9³? =
18. 18.What is the value of 9²? =
19. 19.Find the value of x² + 2xy + y² when x = 3 and y = 2.
20. 20.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
21. 21.What is √6889? =
22. 22.Solve: 6(m − 1) = m + 29. What is m?
23. 23.Use (a + b)² = a² + 2ab + b² to find 26².
24. 24.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
25. 25.What is √7744? =
26. 26.What is the value of 5¹ × 5⁻²? =
27. 27.Write (3⁴)² as a single power 3ⁿ. What is n?
28. 28.A scooter is worth ₹12800. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
29. 29.A square garden has an area of 169 square m. How long is each side (in m)?
30. 30.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
31. 31.What is the difference between the compound interest and the simple interest on ₹50000 at 4% per year for 2 years (in ₹)?
32. 32.The diagonals of a rhombus are 18 cm and 7 cm. What is its area (in square cm)?
33. 33.Use (a − b)² = a² − 2ab + b² to find 56².
34. 34.A square garden has an area of 576 square m. How long is each side (in m)?
35. 35.What is the value of 3⁶ × 3⁻⁴? =
36. 36.Write (7⁹)⁷ as a single power 7ⁿ. What is n?
37. 37.The diagonals of a rhombus are 24 cm and 6 cm. What is its area (in square cm)?
38. 38.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
39. 39.The length of a rectangle is 5 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
40. 40.Write 390 in standard form as 3.9 × 10ⁿ. What is n?

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