Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 722 · 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 3⁴? =
2. 2.What is the value of (3/8)⁻²? =
3. 3.What is 38²? =
4. 4.How many whole numbers lie between 50² and 51²?
5. 5.A scooter is worth ₹1600. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
6. 6.Find the value of x² − 2xy + y² when x = 4 and y = 2.
7. 7.Use (a + b)² = a² + 2ab + b² to find 89².
8. 8.If a − b = 8 and ab = 20, what is a² + b²?
9. 9.What is the value of 8²? =
10. 10.What is the value of 7⁵? =
11. 11.What is √2809? =
12. 12.Find the compound interest on ₹41000 at 4% per year for 1 year, compounded every year (in ₹).
13. 13.How many whole numbers lie between 24² and 25²?
14. 14.A square garden has an area of 729 square m. How long is each side (in m)?
15. 15.Use (a − b)² = a² − 2ab + b² to find 57².
16. 16.What is √1296? =
17. 17.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
18. 18.Write 7² × 7³ as a single power 7ⁿ. What is n?
19. 19.Write 4.8 × 10⁻⁴ as a decimal. =
20. 20.A town has 8000 people. The population grows by 15% every year. What will the population be after 3 years?
21. 21.What is √8100? =
22. 22.What is √729? =
23. 23.Find the compound interest on ₹35000 at 4% per year for 2 years, compounded every year (in ₹).
24. 24.A square garden has an area of 121 square m. How long is each side (in m)?
25. 25.What is the value of 2⁴ × 2⁻¹? =
26. 26.Use (a + b)² = a² + 2ab + b² to find 13².
27. 27.Write 2⁸ × 2⁸ as a single power 2ⁿ. What is n?
28. 28.Which of these is a perfect square? (a) 1444 (b) 1504 (c) 1496
29. 29.Use (a + b)(a − b) = a² − b² to find 88 × 72.
30. 30.What is √3249? =
31. 31.What is √9216? =
32. 32.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
33. 33.Solve: 7n + 5 = 4n + 20. What is n?
34. 34.Use (a + b)² = a² + 2ab + b² to find 66².
35. 35.5.8 × 10⁴ =
36. 36.Use (a − b)² = a² − 2ab + b² to find 23².
37. 37.The sum of three consecutive whole numbers is 36. What is the smallest of them?
38. 38.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
39. 39.Use (a + b)² = a² + 2ab + b² to find 48².
40. 40.If a + b = 15 and ab = 36, what is a² + b²?

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