Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 932 · 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 √324? =
2. 2.What is 9³? =
3. 3.What amount will ₹17500 grow to in 2 years at 4% per year compound interest (in ₹)?
4. 4.Use a² − b² = (a + b)(a − b) to find 74² − 32².
5. 5.What is 12²? =
6. 6.Solve: x/4 + x/5 = 54. What is x?
7. 7.What is the value of 2³? =
8. 8.Use (a + b)(a − b) = a² − b² to find 94 × 86.
9. 9.Write 4⁷ × 4⁹ as a single power 4ⁿ. What is n?
10. 10.Solve: 6y + 7 = y + 82. What is y?
11. 11.A father is 38 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
12. 12.Use (a − b)² = a² − 2ab + b² to find 36².
13. 13.A trapezium has an area of 154 square cm. Its parallel sides are 17 cm and 11 cm. What is the distance between them (in cm)?
14. 14.What is the value of 5¹ × 5⁻²? =
15. 15.What is the value of 3⁹? =
16. 16.A cuboid is 6 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
17. 17.The sum of three consecutive whole numbers is 129. What is the largest of them?
18. 18.A father is 17 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
19. 19.What is √7225? =
20. 20.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
21. 21.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
22. 22.What is ∛8? =
23. 23.What is the difference between the compound interest and the simple interest on ₹40800 at 10% per year for 2 years (in ₹)?
24. 24.What is 15³? =
25. 25.What is ∛9261? =
26. 26.Use a² − b² = (a + b)(a − b) to find 28² − 16².
27. 27.4.7 × 10³ =
28. 28.What is 95²? =
29. 29.What is the difference between the compound interest and the simple interest on ₹39000 at 10% per year for 2 years (in ₹)?
30. 30.A square garden has an area of 1600 square m. How long is each side (in m)?
31. 31.A scooter is worth ₹6500. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
32. 32.Find the compound interest on ₹45500 at 4% per year for 1 year, compounded every year (in ₹).
33. 33.Use a² − b² = (a + b)(a − b) to find 59² − 13².
34. 34.What is the smallest whole number by which 640 must be divided to get a perfect square?
35. 35.Solve: m/6 + m/2 = 16. What is m?
36. 36.A father is 18 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
37. 37.Write 2,40,000 in standard form as 2.4 × 10ⁿ. What is n?
38. 38.Use (a − b)² = a² − 2ab + b² to find 89².
39. 39.Which of these is a perfect cube? (a) 2197 (b) 2218 (c) 2336
40. 40.The length of a rectangle is 9 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?

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