Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 892 · 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.A scooter is worth ₹44400. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
2. 2.How many whole numbers lie between 36² and 37²?
3. 3.The sum of four consecutive whole numbers is 58. What is the largest of them?
4. 4.The length of a rectangle is 4 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
5. 5.The sum of four consecutive whole numbers is 66. What is the smallest of them?
6. 6.Use (a + b)² = a² + 2ab + b² to find 38².
7. 7.What amount will ₹6400 grow to in 1 year at 5% per year compound interest (in ₹)?
8. 8.Write 9⁸ × 9³ as a single power 9ⁿ. What is n?
9. 9.What is the difference between the compound interest and the simple interest on ₹15000 at 8% per year for 2 years (in ₹)?
10. 10.Use (a + b)(a − b) = a² − b² to find 104 × 96.
11. 11.Use (a + b)(a − b) = a² − b² to find 48 × 32.
12. 12.Solve: 6p + 15 = 3p + 30. What is p?
13. 13.Find the compound interest on ₹21100 at 8% per year for 1 year, compounded every year (in ₹).
14. 14.A town has 54500 people. The population grows by 20% every year. What will the population be after 3 years?
15. 15.Use a² − b² = (a + b)(a − b) to find 52² − 30².
16. 16.A square garden has an area of 81 square m. How long is each side (in m)?
17. 17.What is the value of 2¹¹? =
18. 18.What amount will ₹51200 grow to in 1 year at 12% per year compound interest (in ₹)?
19. 19.The sum of two consecutive whole numbers is 19. What is the largest of them?
20. 20.What is the smallest whole number by which 375 must be divided to get a perfect square?
21. 21.A father is 45 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
22. 22.What is the difference between the compound interest and the simple interest on ₹37500 at 12% per year for 2 years (in ₹)?
23. 23.A trapezium has an area of 289 square cm. Its parallel sides are 28 cm and 6 cm. What is the distance between them (in cm)?
24. 24.The sum of two consecutive whole numbers is 77. What is the largest of them?
25. 25.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
26. 26.A trapezium has an area of 147 square cm. Its parallel sides are 25 cm and 24 cm. What is the distance between them (in cm)?
27. 27.A square garden has an area of 1521 square m. How long is each side (in m)?
28. 28.The diagonals of a rhombus are 18 cm and 19 cm. What is its area (in square cm)?
29. 29.Solve: 4p + 13 = p + 43. What is p?
30. 30.A town has 39000 people. The population grows by 12% every year. What will the population be after 1 year?
31. 31.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
32. 32.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
33. 33.Use a² − b² = (a + b)(a − b) to find 32² − 3².
34. 34.Write 8³ × 8⁷ as a single power 8ⁿ. What is n?
35. 35.Find the compound interest on ₹52400 at 15% per year for 2 years, compounded every year (in ₹).
36. 36.What is 7³? =
37. 37.Write 8,100 in standard form as 8.1 × 10ⁿ. What is n?
38. 38.1.4 × 10² =
39. 39.What is the value of 4⁸? =
40. 40.Write 2.9 × 10⁻¹ as a decimal. =

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