Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 994 · 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.Use (a + b)² = a² + 2ab + b² to find 21².
2. 2.Find the value of x² − y² when x = 11 and y = 1.
3. 3.If a − b = 2 and ab = 3, what is a² + b²?
4. 4.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
5. 5.Write 6⁹ ÷ 6⁷ as a single power 6ⁿ. What is n?
6. 6.What is the value of 5⁶? =
7. 7.Solve: 7n + 15 = n + 99. What is n?
8. 8.A trapezium has parallel sides of 4 cm and 23 cm, and the distance between them is 6 cm. What is its area (in square cm)?
9. 9.How many whole numbers lie between 28² and 29²?
10. 10.Use (a + b)(a − b) = a² − b² to find 85 × 75.
11. 11.The length of a rectangle is 10 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
12. 12.The length of a rectangle is 3 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
13. 13.What is the value of 6⁶? =
14. 14.What is the value of 2¹⁶? =
15. 15.Write (9⁴)⁷ as a single power 9ⁿ. What is n?
16. 16.What amount will ₹44000 grow to in 3 years at 10% per year compound interest (in ₹)?
17. 17.What is the value of 2⁵? =
18. 18.A scooter is worth ₹57000. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
19. 19.What amount will ₹36300 grow to in 1 year at 10% per year compound interest (in ₹)?
20. 20.What is the value of 5⁴? =
21. 21.What is the difference between the compound interest and the simple interest on ₹19000 at 10% per year for 2 years (in ₹)?
22. 22.A trapezium has an area of 296 square cm. Its parallel sides are 24 cm and 13 cm. What is the distance between them (in cm)?
23. 23.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
24. 24.What is the value of 4⁴? =
25. 25.Use (a + b)(a − b) = a² − b² to find 81 × 79.
26. 26.Use (a − b)² = a² − 2ab + b² to find 37².
27. 27.What is the smallest whole number by which 45 must be multiplied to get a perfect square?
28. 28.Use a² − b² = (a + b)(a − b) to find 60² − 6².
29. 29.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
30. 30.Solve: 8m + 10 = 6m + 22. What is m?
31. 31.A square garden has an area of 36 square m. How long is each side (in m)?
32. 32.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
33. 33.Write (9⁷)⁷ as a single power 9ⁿ. What is n?
34. 34.Write 81,000 in standard form as 8.1 × 10ⁿ. What is n?
35. 35.What is √361? =
36. 36.What is the value of 6⁵? =
37. 37.Use (a + b)(a − b) = a² − b² to find 69 × 51.
38. 38.If a − b = 1 and ab = 12, what is a² + b²?
39. 39.Find the value of x² + 2xy + y² when x = 9 and y = 2.
40. 40.What is the smallest whole number by which 325 must be divided to get a perfect square?

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