Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 334 · 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 13².
2. 2.Find the compound interest on ₹57500 at 12% per year for 2 years, compounded every year (in ₹).
3. 3.Use (a + b)(a − b) = a² − b² to find 92 × 88.
4. 4.A town has 24700 people. The population grows by 12% every year. What will the population be after 1 year?
5. 5.What is 89²? =
6. 6.A town has 36300 people. The population grows by 20% every year. What will the population be after 1 year?
7. 7.8.5 × 10² =
8. 8.What amount will ₹8600 grow to in 1 year at 4% per year compound interest (in ₹)?
9. 9.What is the smallest whole number by which 625 must be divided to get a perfect cube?
10. 10.Solve: y/3 + y/2 = 30. What is y?
11. 11.If a − b = 7 and ab = 30, what is a² + b²?
12. 12.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
13. 13.The sum of two consecutive whole numbers is 95. What is the largest of them?
14. 14.What is the value of 3¹ × 3⁻³? =
15. 15.What is the smallest whole number by which 567 must be multiplied to get a perfect square?
16. 16.Solve: 6(y − 1) = 3y + 3. What is y?
17. 17.If a − b = 2 and ab = 15, what is a² + b²?
18. 18.Which of these is a perfect cube? (a) 1331 (b) 1411 (c) 1598
19. 19.Write (6⁴)³ as a single power 6ⁿ. What is n?
20. 20.What is √729? =
21. 21.Write 2⁴ × 2⁹ as a single power 2ⁿ. What is n?
22. 22.What is the value of 7⁻² (as a fraction)? =
23. 23.Find the value of x² − 2xy + y² when x = 5 and y = 1.
24. 24.What is the value of 8³? =
25. 25.Use (a − b)² = a² − 2ab + b² to find 28².
26. 26.Use a² − b² = (a + b)(a − b) to find 78² − 36².
27. 27.Find the compound interest on ₹40400 at 5% per year for 2 years, compounded every year (in ₹).
28. 28.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
29. 29.Write 3.9 × 10⁻⁴ as a decimal. =
30. 30.Find the compound interest on ₹20000 at 15% per year for 1 year, compounded every year (in ₹).
31. 31.Solve: 3(n − 5) = n + 19. What is n?
32. 32.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
33. 33.What is the difference between the compound interest and the simple interest on ₹27500 at 20% per year for 2 years (in ₹)?
34. 34.What is the value of 2¹⁵? =
35. 35.What is the difference between the compound interest and the simple interest on ₹54400 at 15% per year for 2 years (in ₹)?
36. 36.Use a² − b² = (a + b)(a − b) to find 34² − 23².
37. 37.Solve: p/3 + p/2 = 15. What is p?
38. 38.Solve: 3(n − 5) = n + 1. What is n?
39. 39.Which of these is a perfect square? (a) 169 (b) 174 (c) 173
40. 40.What is ∛8? =

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