Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 841 · 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.The sum of four consecutive whole numbers is 30. What is the smallest of them?
2. 2.Which of these is a perfect square? (a) 230 (b) 255 (c) 225
3. 3.Find the compound interest on ₹18700 at 8% per year for 1 year, compounded every year (in ₹).
4. 4.Find the compound interest on ₹9900 at 15% per year for 1 year, compounded every year (in ₹).
5. 5.Which of these is a perfect cube? (a) 125 (b) 132 (c) 198
6. 6.Write 3 × 10⁻⁴ as a decimal. =
7. 7.What is the value of 2⁻⁸ (as a fraction)? =
8. 8.A father is 16 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
9. 9.A father is 28 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
10. 10.A trapezium has parallel sides of 28 cm and 4 cm, and the distance between them is 3 cm. What is its area (in square cm)?
11. 11.Solve: 5(n − 5) = 2n + 38. What is n?
12. 12.What is the value of 3⁶ × 3⁻⁴? =
13. 13.Which of these is a perfect square? (a) 1225 (b) 1273 (c) 1238
14. 14.A town has 22600 people. The population grows by 20% every year. What will the population be after 1 year?
15. 15.What is the value of 4⁻³ (as a fraction)? =
16. 16.Use (a − b)² = a² − 2ab + b² to find 65².
17. 17.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
18. 18.Write (8⁶)⁸ as a single power 8ⁿ. What is n?
19. 19.What amount will ₹59500 grow to in 3 years at 20% per year compound interest (in ₹)?
20. 20.What is 7³? =
21. 21.A father is 8 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
22. 22.What is the value of 7⁵? =
23. 23.Solve: x/5 + x/6 = 11. What is x?
24. 24.Use (a + b)² = a² + 2ab + b² to find 14².
25. 25.Write 5² × 5⁸ as a single power 5ⁿ. What is n?
26. 26.A father is 17 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
27. 27.What is ∛9261? =
28. 28.What is the value of 5⁶ × 5⁻⁵? =
29. 29.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
30. 30.What is the smallest whole number by which 375 must be multiplied to get a perfect square?
31. 31.Solve: y/2 + y/3 = 30. What is y?
32. 32.Find the compound interest on ₹47400 at 10% per year for 1 year, compounded every year (in ₹).
33. 33.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
34. 34.Use (a + b)(a − b) = a² − b² to find 106 × 94.
35. 35.Find the value of x² + 2xy + y² when x = 15 and y = 14.
36. 36.Use (a + b)(a − b) = a² − b² to find 27 × 13.
37. 37.What is the difference between the compound interest and the simple interest on ₹45200 at 15% per year for 2 years (in ₹)?
38. 38.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
39. 39.Write 8.5 × 10⁻¹ as a decimal. =
40. 40.Use (a + b)² = a² + 2ab + b² to find 29².

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