Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 768 · 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 cube has a volume of 27 cubic cm. How long is each edge (in cm)?
2. 2.What is the value of 4³? =
3. 3.Use a² − b² = (a + b)(a − b) to find 81² − 48².
4. 4.What is the value of (1/3)⁻²? =
5. 5.What is the smallest whole number by which 96 must be multiplied to get a perfect square?
6. 6.How many whole numbers lie between 40² and 41²?
7. 7.Write 4¹⁴ ÷ 4⁵ as a single power 4ⁿ. What is n?
8. 8.Use (a + b)² = a² + 2ab + b² to find 91².
9. 9.What is 26²? =
10. 10.Solve: 7p + 17 = 3p + 65. What is p?
11. 11.The diagonals of a rhombus are 14 cm and 23 cm. What is its area (in square cm)?
12. 12.Find the compound interest on ₹26800 at 15% per year for 1 year, compounded every year (in ₹).
13. 13.A town has 27500 people. The population grows by 12% every year. What will the population be after 2 years?
14. 14.Which of these is a perfect square? (a) 225 (b) 230 (c) 234
15. 15.What is √841? =
16. 16.The diagonals of a rhombus are 22 cm and 27 cm. What is its area (in square cm)?
17. 17.The length of a rectangle is 2 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
18. 18.Find the compound interest on ₹40000 at 20% per year for 2 years, compounded every year (in ₹).
19. 19.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
20. 20.What is √1521? =
21. 21.What amount will ₹7700 grow to in 1 year at 10% per year compound interest (in ₹)?
22. 22.What is the smallest whole number by which 9 must be divided to get a perfect cube?
23. 23.What is ∛4096? =
24. 24.What is the smallest whole number by which 28 must be multiplied to get a perfect square?
25. 25.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
26. 26.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
27. 27.The length of a rectangle is 13 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
28. 28.Use (a + b)(a − b) = a² − b² to find 24 × 16.
29. 29.A town has 26000 people. The population grows by 10% every year. What will the population be after 3 years?
30. 30.Use (a + b)(a − b) = a² − b² to find 76 × 64.
31. 31.A trapezium has an area of 198 square cm. Its parallel sides are 5 cm and 17 cm. What is the distance between them (in cm)?
32. 32.What is the difference between the compound interest and the simple interest on ₹35000 at 4% per year for 2 years (in ₹)?
33. 33.A trapezium has an area of 288 square cm. Its parallel sides are 20 cm and 12 cm. What is the distance between them (in cm)?
34. 34.How many whole numbers lie between 19² and 20²?
35. 35.A room is 7 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
36. 36.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
37. 37.A town has 24000 people. The population grows by 15% every year. What will the population be after 3 years?
38. 38.What is the value of 2⁸? =
39. 39.Write 4⁹ ÷ 4³ as a single power 4ⁿ. What is n?
40. 40.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets