Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 204 · 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 amount will ₹47000 grow to in 3 years at 20% per year compound interest (in ₹)?
2. 2.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
3. 3.Solve: 3n + 11 = n + 21. What is n?
4. 4.What is the smallest whole number by which 486 must be divided to get a perfect square?
5. 5.Write 8⁹ ÷ 8⁴ as a single power 8ⁿ. What is n?
6. 6.What is the smallest whole number by which 108 must be multiplied to get a perfect square?
7. 7.Solve: 4x + 2 = 3x + 8. What is x?
8. 8.Use a² − b² = (a + b)(a − b) to find 84² − 42².
9. 9.What is the value of 2⁵ × 2⁻⁶? =
10. 10.What is the value of 2¹²? =
11. 11.A town has 2500 people. The population grows by 10% every year. What will the population be after 2 years?
12. 12.Use a² − b² = (a + b)(a − b) to find 50² − 32².
13. 13.A trapezium has parallel sides of 5 cm and 8 cm, and the distance between them is 16 cm. What is its area (in square cm)?
14. 14.A square garden has an area of 3600 square m. How long is each side (in m)?
15. 15.Which of these is a perfect square? (a) 1093 (b) 1147 (c) 1089
16. 16.Use a² − b² = (a + b)(a − b) to find 39² − 23².
17. 17.What is the difference between the compound interest and the simple interest on ₹15000 at 12% per year for 2 years (in ₹)?
18. 18.What is 5³? =
19. 19.Write 4¹⁴ ÷ 4⁹ as a single power 4ⁿ. What is n?
20. 20.What is the value of (1/4)⁻¹? =
21. 21.Solve: p/2 + p/4 = 9. What is p?
22. 22.What is 28²? =
23. 23.A father is 27 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
24. 24.If a + b = 17 and ab = 72, what is a² + b²?
25. 25.What is 36²? =
26. 26.Find the value of x² − 2xy + y² when x = 13 and y = 11.
27. 27.A trapezium has parallel sides of 16 cm and 8 cm, and the distance between them is 7 cm. What is its area (in square cm)?
28. 28.Use (a + b)² = a² + 2ab + b² to find 17².
29. 29.If a − b = 9 and ab = 10, what is a² + b²?
30. 30.Use (a + b)² = a² + 2ab + b² to find 87².
31. 31.What is √6400? =
32. 32.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
33. 33.A father is 16 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?
34. 34.What amount will ₹25200 grow to in 2 years at 25% per year compound interest (in ₹)?
35. 35.What is ∛4096? =
36. 36.How many whole numbers lie between 7² and 8²?
37. 37.A trapezium has parallel sides of 11 cm and 10 cm, and the distance between them is 14 cm. What is its area (in square cm)?
38. 38.What is the smallest whole number by which 12 must be multiplied to get a perfect square?
39. 39.The sum of three consecutive whole numbers is 162. What is the smallest of them?
40. 40.A trapezium has parallel sides of 17 cm and 25 cm, and the distance between them is 13 cm. What is its area (in square cm)?

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