Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 757 · 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 amount will ₹17500 grow to in 2 years at 12% per year compound interest (in ₹)?
2. 2.A town has 40000 people. The population grows by 8% every year. What will the population be after 2 years?
3. 3.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
4. 4.Solve: n/3 + n/2 = 15. What is n?
5. 5.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
6. 6.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
7. 7.A cuboid is 11 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
8. 8.A cuboid is 4 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
9. 9.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
10. 10.Which of these is a perfect square? (a) 398 (b) 361 (c) 395
11. 11.Use (a + b)(a − b) = a² − b² to find 102 × 98.
12. 12.What is √361? =
13. 13.Find the compound interest on ₹40000 at 12% per year for 2 years, compounded every year (in ₹).
14. 14.What is the value of (1/2)⁻¹? =
15. 15.A town has 27500 people. The population grows by 12% every year. What will the population be after 2 years?
16. 16.What is 6³? =
17. 17.What is ∛13824? =
18. 18.What is the difference between the compound interest and the simple interest on ₹3300 at 10% per year for 2 years (in ₹)?
19. 19.A cuboid is 8 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
20. 20.What is ∛3375? =
21. 21.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
22. 22.Use (a + b)² = a² + 2ab + b² to find 46².
23. 23.A trapezium has parallel sides of 8 cm and 13 cm, and the distance between them is 12 cm. What is its area (in square cm)?
24. 24.Write 76,000 in standard form as 7.6 × 10ⁿ. What is n?
25. 25.A trapezium has an area of 220 square cm. Its parallel sides are 8 cm and 14 cm. What is the distance between them (in cm)?
26. 26.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
27. 27.A town has 20100 people. The population grows by 20% every year. What will the population be after 1 year?
28. 28.A town has 11000 people. The population grows by 10% every year. What will the population be after 3 years?
29. 29.What is ∛125? =
30. 30.What is ∛2744? =
31. 31.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
32. 32.If a − b = 3 and ab = 4, what is a² + b²?
33. 33.What is the value of 10⁶ × 10⁻²? =
34. 34.Which of these is a perfect square? (a) 1181 (b) 1156 (c) 1200
35. 35.What is the difference between the compound interest and the simple interest on ₹52500 at 8% per year for 2 years (in ₹)?
36. 36.Use (a − b)² = a² − 2ab + b² to find 26².
37. 37.If a − b = 3 and ab = 40, what is a² + b²?
38. 38.How many whole numbers lie between 43² and 44²?
39. 39.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
40. 40.Use a² − b² = (a + b)(a − b) to find 92² − 19².

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