Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 288 · 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 10² and 11²?
2. 2.Write 9¹¹ ÷ 9⁴ as a single power 9ⁿ. What is n?
3. 3.Find the compound interest on ₹37500 at 8% per year for 2 years, compounded every year (in ₹).
4. 4.What is 4³? =
5. 5.Find the value of x² − y² when x = 15 and y = 13.
6. 6.How many whole numbers lie between 47² and 48²?
7. 7.Which of these is a perfect square? (a) 1291 (b) 1225 (c) 1277
8. 8.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
9. 9.A trapezium has an area of 153 square cm. Its parallel sides are 15 cm and 2 cm. What is the distance between them (in cm)?
10. 10.Find the compound interest on ₹49000 at 8% per year for 1 year, compounded every year (in ₹).
11. 11.Use a² − b² = (a + b)(a − b) to find 52² − 5².
12. 12.A town has 40800 people. The population grows by 5% every year. What will the population be after 2 years?
13. 13.How many whole numbers lie between 21² and 22²?
14. 14.A scooter is worth ₹40100. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
15. 15.The sum of two consecutive whole numbers is 75. What is the largest of them?
16. 16.What is 30²? =
17. 17.Solve: p/2 + p/4 = 9. What is p?
18. 18.What is 17³? =
19. 19.The length of a rectangle is 13 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
20. 20.Find the value of x² − y² when x = 3 and y = 2.
21. 21.What is 10³? =
22. 22.Use (a − b)² = a² − 2ab + b² to find 27².
23. 23.What amount will ₹36100 grow to in 1 year at 25% per year compound interest (in ₹)?
24. 24.If a − b = 8 and ab = 33, what is a² + b²?
25. 25.What is the difference between the compound interest and the simple interest on ₹12400 at 25% per year for 2 years (in ₹)?
26. 26.A trapezium has an area of 272 square cm. Its parallel sides are 20 cm and 14 cm. What is the distance between them (in cm)?
27. 27.What is the difference between the compound interest and the simple interest on ₹48700 at 10% per year for 2 years (in ₹)?
28. 28.What is the smallest whole number by which 625 must be divided to get a perfect cube?
29. 29.What is the value of 6⁻² (as a fraction)? =
30. 30.If a − b = 1 and ab = 6, what is a² + b²?
31. 31.If a + b = 3 and ab = 2, what is a² + b²?
32. 32.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
33. 33.How many whole numbers lie between 12² and 13²?
34. 34.What is the smallest whole number by which 112 must be multiplied to get a perfect square?
35. 35.Solve: x/2 + x/4 = 3. What is x?
36. 36.The diagonals of a rhombus are 18 cm and 11 cm. What is its area (in square cm)?
37. 37.What is the value of 2¹⁶? =
38. 38.What is the smallest whole number by which 49 must be divided to get a perfect cube?
39. 39.Find the value of x² + 2xy + y² when x = 4 and y = 2.
40. 40.What is the smallest whole number by which 54 must be divided to get a perfect cube?

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