Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 256 · 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 value of 4⁷? =
2. 2.The diagonals of a rhombus are 10 cm and 26 cm. What is its area (in square cm)?
3. 3.What is 17³? =
4. 4.Solve: x/4 + x/2 = 6. What is x?
5. 5.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
6. 6.Use (a + b)² = a² + 2ab + b² to find 73².
7. 7.Solve: 3(y − 3) = 2y + 5. What is y?
8. 8.What is the smallest whole number by which 63 must be multiplied to get a perfect square?
9. 9.What amount will ₹41000 grow to in 3 years at 10% per year compound interest (in ₹)?
10. 10.What is the value of 2¹⁶? =
11. 11.What is the value of 3⁷? =
12. 12.What is ∛1728? =
13. 13.A father is 36 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
14. 14.What is the smallest whole number by which 20 must be multiplied to get a perfect square?
15. 15.The length of a rectangle is 10 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
16. 16.The length of a rectangle is 5 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
17. 17.Use a² − b² = (a + b)(a − b) to find 34² − 20².
18. 18.A scooter is worth ₹15500. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
19. 19.What is 63²? =
20. 20.A cuboid is 4 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
21. 21.The diagonals of a rhombus are 18 cm and 6 cm. What is its area (in square cm)?
22. 22.A town has 55700 people. The population grows by 10% every year. What will the population be after 2 years?
23. 23.What is the difference between the compound interest and the simple interest on ₹30000 at 12% per year for 2 years (in ₹)?
24. 24.Which of these is a perfect cube? (a) 1080 (b) 1132 (c) 1000
25. 25.What is √1225? =
26. 26.What is √3600? =
27. 27.The sum of two consecutive whole numbers is 49. What is the smallest of them?
28. 28.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
29. 29.Find the compound interest on ₹45900 at 8% per year for 1 year, compounded every year (in ₹).
30. 30.What is the value of 2⁷? =
31. 31.What amount will ₹25000 grow to in 3 years at 10% per year compound interest (in ₹)?
32. 32.What is the value of 4³? =
33. 33.A square garden has an area of 900 square m. How long is each side (in m)?
34. 34.Write 1.7 × 10⁻³ as a decimal. =
35. 35.Use (a + b)² = a² + 2ab + b² to find 47².
36. 36.What is √6400? =
37. 37.Use (a − b)² = a² − 2ab + b² to find 24².
38. 38.Use a² − b² = (a + b)(a − b) to find 22² − 14².
39. 39.Use (a + b)² = a² + 2ab + b² to find 96².
40. 40.What is the smallest whole number by which 75 must be multiplied to get a perfect square?

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