Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 779 · 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 room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
2. 2.If a + b = 13 and ab = 42, what is a² + b²?
3. 3.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
4. 4.What is the value of (1/9)⁻²? =
5. 5.Which of these is a perfect square? (a) 1347 (b) 1296 (c) 1308
6. 6.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
7. 7.Use a² − b² = (a + b)(a − b) to find 69² − 16².
8. 8.A trapezium has parallel sides of 19 cm and 3 cm, and the distance between them is 7 cm. What is its area (in square cm)?
9. 9.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
10. 10.Write 2 × 10⁻⁴ as a decimal. =
11. 11.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
12. 12.A room is 5 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
13. 13.Use (a + b)² = a² + 2ab + b² to find 72².
14. 14.What is 4³? =
15. 15.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
16. 16.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
17. 17.A cuboid is 10 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
18. 18.What is ∛27? =
19. 19.What is the smallest whole number by which 20 must be multiplied to get a perfect square?
20. 20.What is ∛125? =
21. 21.A square garden has an area of 1024 square m. How long is each side (in m)?
22. 22.A room is 4 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
23. 23.Use a² − b² = (a + b)(a − b) to find 64² − 10².
24. 24.The sum of two consecutive whole numbers is 39. What is the smallest of them?
25. 25.Write 17,00,000 in standard form as 1.7 × 10ⁿ. What is n?
26. 26.Write 4,10,000 in standard form as 4.1 × 10ⁿ. What is n?
27. 27.What is 17³? =
28. 28.A cuboid is 7 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
29. 29.What is the value of 3³ × 3⁻⁴? =
30. 30.What is the difference between the compound interest and the simple interest on ₹25000 at 12% per year for 2 years (in ₹)?
31. 31.What is the difference between the compound interest and the simple interest on ₹15600 at 5% per year for 2 years (in ₹)?
32. 32.Solve: 6(x − 2) = 3x + 3. What is x?
33. 33.A room is 11 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
34. 34.Which of these is a perfect cube? (a) 128 (b) 125 (c) 194
35. 35.Find the value of x² − y² when x = 8 and y = 3.
36. 36.A town has 35300 people. The population grows by 15% every year. What will the population be after 1 year?
37. 37.Use (a + b)² = a² + 2ab + b² to find 53².
38. 38.What is the smallest whole number by which 75 must be multiplied to get a perfect square?
39. 39.5.1 × 10⁷ =
40. 40.The length of a rectangle is 4 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?

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