Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 447 · 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 √6889? =
2. 2.What is the value of 2⁻³ (as a fraction)? =
3. 3.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
4. 4.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
5. 5.6.9 × 10⁵ =
6. 6.A town has 12800 people. The population grows by 25% every year. What will the population be after 3 years?
7. 7.The sum of three consecutive whole numbers is 36. What is the largest of them?
8. 8.Use (a + b)² = a² + 2ab + b² to find 65².
9. 9.What is the value of 6²? =
10. 10.What is ∛8000? =
11. 11.How many whole numbers lie between 18² and 19²?
12. 12.A father is 14 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?
13. 13.What is the value of 2¹⁵? =
14. 14.A trapezium has parallel sides of 11 cm and 10 cm, and the distance between them is 20 cm. What is its area (in square cm)?
15. 15.Use a² − b² = (a + b)(a − b) to find 78² − 7².
16. 16.A trapezium has parallel sides of 4 cm and 14 cm, and the distance between them is 4 cm. What is its area (in square cm)?
17. 17.Use (a + b)(a − b) = a² − b² to find 98 × 82.
18. 18.Use (a + b)² = a² + 2ab + b² to find 87².
19. 19.What is the value of 5⁵ × 5⁻¹? =
20. 20.A cuboid is 3 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
21. 21.A trapezium has parallel sides of 27 cm and 30 cm, and the distance between them is 12 cm. What is its area (in square cm)?
22. 22.Write 7,30,00,000 in standard form as 7.3 × 10ⁿ. What is n?
23. 23.What amount will ₹41000 grow to in 3 years at 10% per year compound interest (in ₹)?
24. 24.Solve: 8m + 9 = 4m + 37. What is m?
25. 25.A cuboid is 7 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
26. 26.Find the compound interest on ₹41100 at 10% per year for 1 year, compounded every year (in ₹).
27. 27.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
28. 28.A scooter is worth ₹60000. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
29. 29.What is the value of 3³ × 3⁻¹? =
30. 30.2.1 × 10⁷ =
31. 31.A room is 6 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
32. 32.A town has 31400 people. The population grows by 10% every year. What will the population be after 2 years?
33. 33.A cuboid is 6 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
34. 34.Write 2⁶ ÷ 2⁴ as a single power 2ⁿ. What is n?
35. 35.What is the value of (8/9)⁻²? =
36. 36.A room is 11 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
37. 37.Find the compound interest on ₹38900 at 10% per year for 2 years, compounded every year (in ₹).
38. 38.How many whole numbers lie between 39² and 40²?
39. 39.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
40. 40.The sum of two consecutive whole numbers is 35. What is the smallest of them?

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