Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 304 · 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 71²? =
2. 2.Use a² − b² = (a + b)(a − b) to find 57² − 8².
3. 3.Use (a − b)² = a² − 2ab + b² to find 53².
4. 4.The sum of four consecutive whole numbers is 150. What is the largest of them?
5. 5.What is the smallest whole number by which 24 must be multiplied to get a perfect square?
6. 6.The sum of two consecutive whole numbers is 87. What is the smallest of them?
7. 7.Use (a − b)² = a² − 2ab + b² to find 28².
8. 8.What is the value of 3² × 3⁻⁴? =
9. 9.A scooter is worth ₹10100. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
10. 10.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
11. 11.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
12. 12.1.9 × 10⁴ =
13. 13.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
14. 14.What is the value of 2¹³? =
15. 15.A trapezium has an area of 78 square cm. Its parallel sides are 5 cm and 7 cm. What is the distance between them (in cm)?
16. 16.Find the compound interest on ₹7500 at 8% per year for 2 years, compounded every year (in ₹).
17. 17.Find the value of x² + 2xy + y² when x = 6 and y = 3.
18. 18.Find the value of x² − 2xy + y² when x = 15 and y = 14.
19. 19.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
20. 20.The sum of two consecutive whole numbers is 61. What is the largest of them?
21. 21.A square garden has an area of 961 square m. How long is each side (in m)?
22. 22.If a + b = 9 and ab = 20, what is a² + b²?
23. 23.A room is 5 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
24. 24.What is the value of 3² × 3⁻²? =
25. 25.What is the value of (3/4)⁻²? =
26. 26.What is the smallest whole number by which 18 must be multiplied to get a perfect square?
27. 27.What is 17²? =
28. 28.Solve: 5(n − 4) = n + 4. What is n?
29. 29.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
30. 30.Write 4⁶ × 4⁵ as a single power 4ⁿ. What is n?
31. 31.What is the value of 3² × 3⁻⁶? =
32. 32.Find the compound interest on ₹9600 at 12% per year for 1 year, compounded every year (in ₹).
33. 33.Which of these is a perfect square? (a) 1600 (b) 1656 (c) 1602
34. 34.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
35. 35.Find the compound interest on ₹24000 at 5% per year for 3 years, compounded every year (in ₹).
36. 36.Write 2² × 2⁹ as a single power 2ⁿ. What is n?
37. 37.A trapezium has parallel sides of 15 cm and 5 cm, and the distance between them is 9 cm. What is its area (in square cm)?
38. 38.A cuboid is 6 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
39. 39.How many whole numbers lie between 42² and 43²?
40. 40.A room is 7 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?

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