Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 988 · 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 94²? =
2. 2.What is 92²? =
3. 3.Use (a + b)² = a² + 2ab + b² to find 36².
4. 4.Use (a + b)² = a² + 2ab + b² to find 27².
5. 5.Which of these is a perfect square? (a) 1031 (b) 1029 (c) 1024
6. 6.A room is 8 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
7. 7.What is the difference between the compound interest and the simple interest on ₹31000 at 20% per year for 2 years (in ₹)?
8. 8.Find the value of x² − y² when x = 11 and y = 1.
9. 9.What is the value of 5⁷? =
10. 10.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
11. 11.Write 2.3 × 10⁻⁴ as a decimal. =
12. 12.The sum of four consecutive whole numbers is 146. What is the largest of them?
13. 13.4.4 × 10² =
14. 14.A cuboid is 5 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
15. 15.The length of a rectangle is 12 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
16. 16.A scooter is worth ₹53500. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
17. 17.A town has 58200 people. The population grows by 8% every year. What will the population be after 1 year?
18. 18.A trapezium has parallel sides of 14 cm and 25 cm, and the distance between them is 10 cm. What is its area (in square cm)?
19. 19.Use (a − b)² = a² − 2ab + b² to find 83².
20. 20.Use (a + b)² = a² + 2ab + b² to find 31².
21. 21.Write 7.3 × 10⁻² as a decimal. =
22. 22.Use (a + b)² = a² + 2ab + b² to find 11².
23. 23.The diagonals of a rhombus are 8 cm and 3 cm. What is its area (in square cm)?
24. 24.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
25. 25.What is 4³? =
26. 26.If a − b = 4 and ab = 96, what is a² + b²?
27. 27.Write 9¹¹ ÷ 9⁵ as a single power 9ⁿ. What is n?
28. 28.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
29. 29.What is the value of 8²? =
30. 30.Solve: y/6 + y/4 = 10. What is y?
31. 31.A trapezium has an area of 26 square cm. Its parallel sides are 22 cm and 4 cm. What is the distance between them (in cm)?
32. 32.Write 2 × 10⁻³ as a decimal. =
33. 33.What is √289? =
34. 34.What is the value of 2⁻² (as a fraction)? =
35. 35.Use (a − b)² = a² − 2ab + b² to find 76².
36. 36.What is √9604? =
37. 37.Write 5⁷ × 5⁵ as a single power 5ⁿ. What is n?
38. 38.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
39. 39.A trapezium has parallel sides of 30 cm and 10 cm, and the distance between them is 6 cm. What is its area (in square cm)?
40. 40.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

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