Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 506 · 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.The length of a rectangle is 1 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
2. 2.Write 8,80,00,000 in standard form as 8.8 × 10ⁿ. What is n?
3. 3.Use a² − b² = (a + b)(a − b) to find 66² − 18².
4. 4.Use (a + b)² = a² + 2ab + b² to find 76².
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.A cuboid is 9 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
7. 7.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
8. 8.A room is 4 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
9. 9.What is √441? =
10. 10.What is 20³? =
11. 11.Write 3⁸ ÷ 3² as a single power 3ⁿ. What is n?
12. 12.Find the value of x² − 2xy + y² when x = 6 and y = 5.
13. 13.Write 980 in standard form as 9.8 × 10ⁿ. What is n?
14. 14.A cuboid is 12 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
15. 15.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
16. 16.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
17. 17.A trapezium has parallel sides of 10 cm and 20 cm, and the distance between them is 6 cm. What is its area (in square cm)?
18. 18.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
19. 19.Use a² − b² = (a + b)(a − b) to find 84² − 19².
20. 20.Use a² − b² = (a + b)(a − b) to find 54² − 48².
21. 21.What is √9025? =
22. 22.The diagonals of a rhombus are 24 cm and 3 cm. What is its area (in square cm)?
23. 23.Which of these is a perfect square? (a) 1495 (b) 1501 (c) 1444
24. 24.What is the value of 8³? =
25. 25.Use (a + b)² = a² + 2ab + b² to find 32².
26. 26.A trapezium has an area of 192 square cm. Its parallel sides are 29 cm and 3 cm. What is the distance between them (in cm)?
27. 27.Use (a + b)² = a² + 2ab + b² to find 59².
28. 28.A trapezium has an area of 280 square cm. Its parallel sides are 24 cm and 16 cm. What is the distance between them (in cm)?
29. 29.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
30. 30.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
31. 31.Solve: n/3 + n/4 = 28. What is n?
32. 32.What is 7³? =
33. 33.Solve: n/5 + n/6 = 11. What is n?
34. 34.Use (a + b)(a − b) = a² − b² to find 79 × 61.
35. 35.Which of these is a perfect square? (a) 1369 (b) 1436 (c) 1433
36. 36.What is √961? =
37. 37.What is the difference between the compound interest and the simple interest on ₹50400 at 25% per year for 2 years (in ₹)?
38. 38.A scooter is worth ₹57600. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
39. 39.If a − b = 1 and ab = 6, what is a² + b²?
40. 40.A square garden has an area of 169 square m. How long is each side (in m)?

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