Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 580 · 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: 8y + 19 = y + 75. What is y?
2. 2.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
3. 3.What amount will ₹12000 grow to in 2 years at 5% per year compound interest (in ₹)?
4. 4.Write 2.4 × 10⁻¹ as a decimal. =
5. 5.A town has 48000 people. The population grows by 15% every year. What will the population be after 2 years?
6. 6.What is the smallest whole number by which 90 must be divided to get a perfect square?
7. 7.Write 8 × 10⁻¹ as a decimal. =
8. 8.A square garden has an area of 3136 square m. How long is each side (in m)?
9. 9.A square garden has an area of 841 square m. How long is each side (in m)?
10. 10.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
11. 11.A trapezium has parallel sides of 9 cm and 14 cm, and the distance between them is 20 cm. What is its area (in square cm)?
12. 12.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
13. 13.A trapezium has parallel sides of 21 cm and 17 cm, and the distance between them is 5 cm. What is its area (in square cm)?
14. 14.The length of a rectangle is 15 cm more than its width. Its perimeter is 150 cm. What is its width (in cm)?
15. 15.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
16. 16.What is the value of 10⁶ × 10⁻²? =
17. 17.Use a² − b² = (a + b)(a − b) to find 36² − 33².
18. 18.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
19. 19.The sum of two consecutive whole numbers is 109. What is the smallest of them?
20. 20.Find the compound interest on ₹46300 at 8% per year for 1 year, compounded every year (in ₹).
21. 21.Write 5³ × 5⁶ as a single power 5ⁿ. What is n?
22. 22.A square garden has an area of 2304 square m. How long is each side (in m)?
23. 23.Use (a + b)² = a² + 2ab + b² to find 73².
24. 24.What is the value of 2¹⁴? =
25. 25.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
26. 26.Solve: 6(x − 3) = 3x + 30. What is x?
27. 27.Write 2.8 × 10⁻⁴ as a decimal. =
28. 28.What is the value of 2⁻⁷ (as a fraction)? =
29. 29.A trapezium has an area of 136 square cm. Its parallel sides are 24 cm and 10 cm. What is the distance between them (in cm)?
30. 30.What is the smallest whole number by which 80 must be multiplied to get a perfect square?
31. 31.What is the value of 2¹ × 2⁻⁶? =
32. 32.A trapezium has an area of 41 square cm. Its parallel sides are 19 cm and 22 cm. What is the distance between them (in cm)?
33. 33.A father is 14 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
34. 34.What is ∛9261? =
35. 35.5.5 × 10⁷ =
36. 36.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
37. 37.A room is 12 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
38. 38.A father is 42 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
39. 39.What is the value of 2⁴? =
40. 40.Find the value of x² − y² when x = 4 and y = 3.

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