Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 154 · 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 the smallest whole number by which 1944 must be multiplied to get a perfect cube?
2. 2.The sum of four consecutive whole numbers is 78. What is the largest of them?
3. 3.The sum of two consecutive whole numbers is 115. What is the smallest of them?
4. 4.Use (a + b)² = a² + 2ab + b² to find 41².
5. 5.A square garden has an area of 2601 square m. How long is each side (in m)?
6. 6.If a − b = 9 and ab = 36, what is a² + b²?
7. 7.What is the value of 4⁴? =
8. 8.Which of these is a perfect cube? (a) 3375 (b) 3793 (c) 3464
9. 9.What is the value of 4⁷? =
10. 10.A cuboid is 12 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
11. 11.Which of these is a perfect square? (a) 1443 (b) 1425 (c) 1369
12. 12.Write 9¹¹ ÷ 9⁹ as a single power 9ⁿ. What is n?
13. 13.Find the compound interest on ₹45800 at 8% per year for 1 year, compounded every year (in ₹).
14. 14.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
15. 15.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
16. 16.The length of a rectangle is 4 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
17. 17.Use (a − b)² = a² − 2ab + b² to find 66².
18. 18.What is 25²? =
19. 19.What is 6³? =
20. 20.Which of these is a perfect square? (a) 1074 (b) 1075 (c) 1024
21. 21.A cuboid is 7 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
22. 22.Solve: 3(x − 3) = x + 9. What is x?
23. 23.What is the difference between the compound interest and the simple interest on ₹45500 at 20% per year for 2 years (in ₹)?
24. 24.A cuboid is 14 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
25. 25.What is the value of 2⁷? =
26. 26.What is the value of 2²? =
27. 27.If a − b = 7 and ab = 8, what is a² + b²?
28. 28.A father is 9 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
29. 29.A town has 30000 people. The population grows by 12% every year. What will the population be after 1 year?
30. 30.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
31. 31.Write (7⁸)⁹ as a single power 7ⁿ. What is n?
32. 32.How many whole numbers lie between 9² and 10²?
33. 33.Use (a + b)² = a² + 2ab + b² to find 46².
34. 34.7.8 × 10⁵ =
35. 35.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
36. 36.What is the smallest whole number by which 108 must be multiplied to get a perfect square?
37. 37.What is 13³? =
38. 38.A trapezium has parallel sides of 22 cm and 3 cm, and the distance between them is 2 cm. What is its area (in square cm)?
39. 39.Use a² − b² = (a + b)(a − b) to find 73² − 55².
40. 40.What is the difference between the compound interest and the simple interest on ₹20000 at 4% per year for 2 years (in ₹)?

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