Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 24 · 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 ₹52300 grow to in 1 year at 4% per year compound interest (in ₹)?
2. 2.What is 39²? =
3. 3.What is the value of 5² × 5⁻²? =
4. 4.A room is 8 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
5. 5.Find the value of x² + 2xy + y² when x = 14 and y = 8.
6. 6.What is ∛1331? =
7. 7.What is ∛4913? =
8. 8.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
9. 9.What is √5329? =
10. 10.The diagonals of a rhombus are 14 cm and 14 cm. What is its area (in square cm)?
11. 11.Use (a − b)² = a² − 2ab + b² to find 28².
12. 12.What amount will ₹14100 grow to in 2 years at 10% per year compound interest (in ₹)?
13. 13.Solve: 4m + 20 = 3m + 22. What is m?
14. 14.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
15. 15.What is the value of 2¹⁶? =
16. 16.What amount will ₹5300 grow to in 2 years at 10% per year compound interest (in ₹)?
17. 17.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
18. 18.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
19. 19.Find the compound interest on ₹33800 at 25% per year for 1 year, compounded every year (in ₹).
20. 20.Write 7⁷ × 7² as a single power 7ⁿ. What is n?
21. 21.What is the value of 3¹ × 3⁻⁴? =
22. 22.Solve: 6(x − 1) = 2x + 18. What is x?
23. 23.Find the compound interest on ₹27500 at 15% per year for 1 year, compounded every year (in ₹).
24. 24.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
25. 25.A cuboid is 12 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
26. 26.Solve: x/6 + x/2 = 4. What is x?
27. 27.Solve: 3(y − 5) = y + 1. What is y?
28. 28.Find the compound interest on ₹8000 at 15% per year for 3 years, compounded every year (in ₹).
29. 29.Solve: 5m + 9 = 4m + 19. What is m?
30. 30.What is √169? =
31. 31.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
32. 32.Solve: 4p + 14 = 2p + 18. What is p?
33. 33.Find the value of x² − 2xy + y² when x = 7 and y = 2.
34. 34.What is 9³? =
35. 35.A town has 52800 people. The population grows by 25% every year. What will the population be after 3 years?
36. 36.What is 35²? =
37. 37.What is the difference between the compound interest and the simple interest on ₹17500 at 8% per year for 2 years (in ₹)?
38. 38.What is the smallest whole number by which 54 must be divided to get a perfect square?
39. 39.What is the difference between the compound interest and the simple interest on ₹49900 at 20% per year for 2 years (in ₹)?
40. 40.Write 3⁸ × 3³ as a single power 3ⁿ. What is n?

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