Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 42 · 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 difference between the compound interest and the simple interest on ₹31000 at 10% per year for 2 years (in ₹)?
2. 2.What is the value of 3¹ × 3⁻¹? =
3. 3.What is the difference between the compound interest and the simple interest on ₹12500 at 4% per year for 2 years (in ₹)?
4. 4.Find the compound interest on ₹41600 at 5% per year for 2 years, compounded every year (in ₹).
5. 5.If a − b = 3 and ab = 4, what is a² + b²?
6. 6.What is √529? =
7. 7.What is the value of 3¹ × 3⁻⁶? =
8. 8.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
9. 9.Find the value of x² − y² when x = 4 and y = 2.
10. 10.What is √1024? =
11. 11.Which of these is a perfect cube? (a) 68 (b) 75 (c) 64
12. 12.A room is 4 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
13. 13.Use (a − b)² = a² − 2ab + b² to find 73².
14. 14.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
15. 15.A room is 9 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
16. 16.What is the value of 3⁶ × 3⁻⁶? =
17. 17.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
18. 18.Find the value of x² + 2xy + y² when x = 6 and y = 1.
19. 19.What is the value of 6⁴? =
20. 20.Solve: x/6 + x/3 = 12. What is x?
21. 21.What is the difference between the compound interest and the simple interest on ₹47500 at 12% per year for 2 years (in ₹)?
22. 22.Solve: m/3 + m/6 = 9. What is m?
23. 23.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
24. 24.A town has 32000 people. The population grows by 25% every year. What will the population be after 3 years?
25. 25.What is the value of 2⁴? =
26. 26.A father is 24 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
27. 27.The length of a rectangle is 12 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
28. 28.Solve: 7y + 11 = 5y + 23. What is y?
29. 29.The sum of three consecutive whole numbers is 99. What is the smallest of them?
30. 30.Use (a + b)² = a² + 2ab + b² to find 77².
31. 31.Write 75,000 in standard form as 7.5 × 10ⁿ. What is n?
32. 32.What is the value of 8⁻¹ (as a fraction)? =
33. 33.What amount will ₹46300 grow to in 1 year at 12% per year compound interest (in ₹)?
34. 34.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
35. 35.A trapezium has parallel sides of 14 cm and 27 cm, and the distance between them is 18 cm. What is its area (in square cm)?
36. 36.Solve: 5(p − 5) = 3p + 25. What is p?
37. 37.Use a² − b² = (a + b)(a − b) to find 94² − 54².
38. 38.Write 7⁵ × 7⁵ as a single power 7ⁿ. What is n?
39. 39.A cuboid is 6 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
40. 40.Use (a + b)² = a² + 2ab + b² to find 18².

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets