Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 951 · 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.Solve: 7n + 4 = 5n + 14. What is n?
2. 2.Write 9.4 × 10⁻¹ as a decimal. =
3. 3.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
4. 4.Use a² − b² = (a + b)(a − b) to find 43² − 25².
5. 5.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
6. 6.What is the value of 3¹ × 3⁻¹? =
7. 7.The diagonals of a rhombus are 4 cm and 27 cm. What is its area (in square cm)?
8. 8.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
9. 9.What is 12²? =
10. 10.What is ∛125? =
11. 11.The sum of two consecutive whole numbers is 97. What is the largest of them?
12. 12.What is the value of (4/9)⁻¹? =
13. 13.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
14. 14.A trapezium has parallel sides of 24 cm and 11 cm, and the distance between them is 20 cm. What is its area (in square cm)?
15. 15.What amount will ₹6000 grow to in 3 years at 20% per year compound interest (in ₹)?
16. 16.What amount will ₹9000 grow to in 3 years at 10% per year compound interest (in ₹)?
17. 17.What is √625? =
18. 18.What amount will ₹7400 grow to in 1 year at 4% per year compound interest (in ₹)?
19. 19.A room is 11 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
20. 20.A trapezium has an area of 240 square cm. Its parallel sides are 25 cm and 15 cm. What is the distance between them (in cm)?
21. 21.Write 9¹⁰ ÷ 9⁷ as a single power 9ⁿ. What is n?
22. 22.Find the compound interest on ₹48600 at 15% per year for 1 year, compounded every year (in ₹).
23. 23.A father is 39 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
24. 24.Write 5⁸ ÷ 5⁴ as a single power 5ⁿ. What is n?
25. 25.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
26. 26.Find the value of x² + 2xy + y² when x = 3 and y = 1.
27. 27.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
28. 28.The length of a rectangle is 1 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
29. 29.Solve: 6t + 9 = t + 24. What is t?
30. 30.Write 4.4 × 10⁻¹ as a decimal. =
31. 31.Use (a − b)² = a² − 2ab + b² to find 96².
32. 32.A trapezium has parallel sides of 25 cm and 3 cm, and the distance between them is 18 cm. What is its area (in square cm)?
33. 33.Write 5,80,00,000 in standard form as 5.8 × 10ⁿ. What is n?
34. 34.Use a² − b² = (a + b)(a − b) to find 93² − 14².
35. 35.Solve: 3m + 7 = 2m + 10. What is m?
36. 36.A father is 3 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
37. 37.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
38. 38.Solve: 4x + 20 = 3x + 33. What is x?
39. 39.A town has 11600 people. The population grows by 15% every year. What will the population be after 2 years?
40. 40.What is the value of 3¹⁰? =

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