Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 272 · 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 square garden has an area of 196 square m. How long is each side (in m)?
2. 2.What amount will ₹45000 grow to in 2 years at 8% per year compound interest (in ₹)?
3. 3.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
4. 4.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
5. 5.A cuboid is 14 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
6. 6.What is the difference between the compound interest and the simple interest on ₹7500 at 8% per year for 2 years (in ₹)?
7. 7.What amount will ₹32500 grow to in 2 years at 10% per year compound interest (in ₹)?
8. 8.A town has 51000 people. The population grows by 10% every year. What will the population be after 3 years?
9. 9.What is ∛1728? =
10. 10.What is the value of 2¹ × 2⁻⁶? =
11. 11.Use (a + b)(a − b) = a² − b² to find 86 × 74.
12. 12.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
13. 13.Write (8⁶)⁴ as a single power 8ⁿ. What is n?
14. 14.A cuboid is 12 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
15. 15.A town has 2500 people. The population grows by 20% every year. What will the population be after 3 years?
16. 16.Which of these is a perfect square? (a) 119 (b) 105 (c) 100
17. 17.Which of these is a perfect square? (a) 201 (b) 196 (c) 217
18. 18.A father is 16 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
19. 19.What is the difference between the compound interest and the simple interest on ₹47500 at 4% per year for 2 years (in ₹)?
20. 20.Which of these is a perfect square? (a) 879 (b) 882 (c) 841
21. 21.Write 6.3 × 10⁻¹ as a decimal. =
22. 22.Which of these is a perfect cube? (a) 2197 (b) 2474 (c) 2448
23. 23.What is the smallest whole number by which 224 must be multiplied to get a perfect square?
24. 24.What is the difference between the compound interest and the simple interest on ₹47500 at 12% per year for 2 years (in ₹)?
25. 25.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
26. 26.Use a² − b² = (a + b)(a − b) to find 46² − 37².
27. 27.What is the value of 2⁷? =
28. 28.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
29. 29.What is the difference between the compound interest and the simple interest on ₹44800 at 15% per year for 2 years (in ₹)?
30. 30.The length of a rectangle is 2 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
31. 31.What is 60²? =
32. 32.What is √6889? =
33. 33.Use a² − b² = (a + b)(a − b) to find 60² − 2².
34. 34.What is the value of 8⁻³ (as a fraction)? =
35. 35.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
36. 36.A town has 10000 people. The population grows by 8% every year. What will the population be after 2 years?
37. 37.A father is 14 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
38. 38.What is 11³? =
39. 39.The length of a rectangle is 2 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
40. 40.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

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