Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 40 · 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.A town has 55000 people. The population grows by 12% every year. What will the population be after 2 years?
2. 2.Find the compound interest on ₹31600 at 20% per year for 1 year, compounded every year (in ₹).
3. 3.Write 1.5 × 10⁻³ as a decimal. =
4. 4.Which of these is a perfect cube? (a) 64 (b) 111 (c) 90
5. 5.Which of these is a perfect cube? (a) 343 (b) 448 (c) 370
6. 6.What is the smallest whole number by which 180 must be divided to get a perfect square?
7. 7.What is 64²? =
8. 8.The length of a rectangle is 5 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
9. 9.What is the smallest whole number by which 147 must be divided to get a perfect square?
10. 10.What is the value of 2⁴ × 2⁻²? =
11. 11.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
12. 12.A room is 12 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
13. 13.The length of a rectangle is 10 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
14. 14.Write 510 in standard form as 5.1 × 10ⁿ. What is n?
15. 15.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
16. 16.A trapezium has an area of 231 square cm. Its parallel sides are 23 cm and 10 cm. What is the distance between them (in cm)?
17. 17.A father is 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
18. 18.What is the value of 2⁷? =
19. 19.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
20. 20.The length of a rectangle is 12 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
21. 21.Use (a + b)(a − b) = a² − b² to find 54 × 46.
22. 22.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
23. 23.Write 6.1 × 10⁻¹ as a decimal. =
24. 24.A square garden has an area of 841 square m. How long is each side (in m)?
25. 25.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
26. 26.What is the value of 10² × 10⁻¹? =
27. 27.What is √3025? =
28. 28.Write 3.5 × 10⁻⁴ as a decimal. =
29. 29.Solve: 6(t − 1) = 2t + 6. What is t?
30. 30.A scooter is worth ₹14800. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
31. 31.The sum of two consecutive whole numbers is 61. What is the largest of them?
32. 32.Use a² − b² = (a + b)(a − b) to find 37² − 4².
33. 33.Find the compound interest on ₹7500 at 8% per year for 2 years, compounded every year (in ₹).
34. 34.Find the compound interest on ₹21600 at 5% per year for 1 year, compounded every year (in ₹).
35. 35.What is ∛125? =
36. 36.What is 28²? =
37. 37.Which of these is a perfect square? (a) 588 (b) 601 (c) 576
38. 38.A trapezium has an area of 27 square cm. Its parallel sides are 16 cm and 11 cm. What is the distance between them (in cm)?
39. 39.Which of these is a perfect cube? (a) 3466 (b) 3962 (c) 3375
40. 40.The diagonals of a rhombus are 24 cm and 22 cm. What is its area (in square cm)?

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