Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 399 · 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.How many whole numbers lie between 44² and 45²?
2. 2.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
3. 3.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
4. 4.What is the value of 2⁴ × 2⁻³? =
5. 5.Find the compound interest on ₹30400 at 5% per year for 2 years, compounded every year (in ₹).
6. 6.Use (a + b)(a − b) = a² − b² to find 76 × 64.
7. 7.Write 7⁴ × 7³ as a single power 7ⁿ. What is n?
8. 8.A square garden has an area of 1024 square m. How long is each side (in m)?
9. 9.How many whole numbers lie between 7² and 8²?
10. 10.A father is 22 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
11. 11.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
12. 12.Find the compound interest on ₹22500 at 4% per year for 2 years, compounded every year (in ₹).
13. 13.Write 2⁷ × 2⁹ as a single power 2ⁿ. What is n?
14. 14.A room is 7 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
15. 15.Write 320 in standard form as 3.2 × 10ⁿ. What is n?
16. 16.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
17. 17.Find the compound interest on ₹24000 at 15% per year for 3 years, compounded every year (in ₹).
18. 18.A cuboid is 10 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
19. 19.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
20. 20.Write 3,70,000 in standard form as 3.7 × 10ⁿ. What is n?
21. 21.A square garden has an area of 2916 square m. How long is each side (in m)?
22. 22.Solve: m/5 + m/3 = 56. What is m?
23. 23.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
24. 24.Which of these is a perfect cube? (a) 520 (b) 512 (c) 626
25. 25.What amount will ₹34000 grow to in 3 years at 10% per year compound interest (in ₹)?
26. 26.Use (a + b)² = a² + 2ab + b² to find 52².
27. 27.A town has 15600 people. The population grows by 15% every year. What will the population be after 1 year?
28. 28.A scooter is worth ₹41100. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
29. 29.What amount will ₹26000 grow to in 2 years at 5% per year compound interest (in ₹)?
30. 30.What is the difference between the compound interest and the simple interest on ₹57500 at 20% per year for 2 years (in ₹)?
31. 31.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
32. 32.A trapezium has parallel sides of 4 cm and 26 cm, and the distance between them is 6 cm. What is its area (in square cm)?
33. 33.Find the compound interest on ₹38000 at 20% per year for 2 years, compounded every year (in ₹).
34. 34.What is ∛4913? =
35. 35.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
36. 36.Find the value of x² − 2xy + y² when x = 6 and y = 1.
37. 37.What is the value of 2⁻⁵ (as a fraction)? =
38. 38.Find the compound interest on ₹33600 at 25% per year for 2 years, compounded every year (in ₹).
39. 39.What is the difference between the compound interest and the simple interest on ₹18000 at 25% per year for 2 years (in ₹)?
40. 40.A square garden has an area of 3600 square m. How long is each side (in m)?

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