Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 489 · 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.If a − b = 9 and ab = 36, what is a² + b²?
2. 2.What is the smallest whole number by which 200 must be divided to get a perfect cube?
3. 3.What is the smallest whole number by which 243 must be divided to get a perfect square?
4. 4.A square garden has an area of 484 square m. How long is each side (in m)?
5. 5.What is the difference between the compound interest and the simple interest on ₹42400 at 15% per year for 2 years (in ₹)?
6. 6.The length of a rectangle is 13 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
7. 7.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
8. 8.What is the smallest whole number by which 162 must be multiplied to get a perfect square?
9. 9.What is the value of 3⁵? =
10. 10.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
11. 11.How many whole numbers lie between 20² and 21²?
12. 12.How many whole numbers lie between 32² and 33²?
13. 13.The sum of three consecutive whole numbers is 84. What is the smallest of them?
14. 14.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
15. 15.A square garden has an area of 3025 square m. How long is each side (in m)?
16. 16.A father is 6 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
17. 17.What is the difference between the compound interest and the simple interest on ₹39200 at 5% per year for 2 years (in ₹)?
18. 18.What is the value of 3⁻⁵ (as a fraction)? =
19. 19.What is 95²? =
20. 20.A town has 27500 people. The population grows by 20% every year. What will the population be after 1 year?
21. 21.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
22. 22.If a − b = 6 and ab = 16, what is a² + b²?
23. 23.What is the value of 4²? =
24. 24.Find the value of x² − y² when x = 13 and y = 2.
25. 25.Which of these is a perfect square? (a) 400 (b) 405 (c) 420
26. 26.What is ∛8? =
27. 27.A trapezium has parallel sides of 25 cm and 18 cm, and the distance between them is 20 cm. What is its area (in square cm)?
28. 28.What is the difference between the compound interest and the simple interest on ₹58800 at 25% per year for 2 years (in ₹)?
29. 29.What is ∛8000? =
30. 30.Use (a − b)² = a² − 2ab + b² to find 14².
31. 31.Find the compound interest on ₹3200 at 15% per year for 2 years, compounded every year (in ₹).
32. 32.Find the compound interest on ₹56000 at 20% per year for 1 year, compounded every year (in ₹).
33. 33.A scooter is worth ₹44400. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
34. 34.Which of these is a perfect cube? (a) 216 (b) 303 (c) 274
35. 35.A trapezium has parallel sides of 10 cm and 20 cm, and the distance between them is 9 cm. What is its area (in square cm)?
36. 36.Which of these is a perfect cube? (a) 45 (b) 27 (c) 33
37. 37.What is ∛3375? =
38. 38.Write 700 in standard form as 7 × 10ⁿ. What is n?
39. 39.What is the value of 5⁻¹ (as a fraction)? =
40. 40.What is the smallest whole number by which 3 must be divided to get a perfect cube?

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