Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 458 · 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 trapezium has parallel sides of 18 cm and 9 cm, and the distance between them is 10 cm. What is its area (in square cm)?
2. 2.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
3. 3.A trapezium has an area of 102 square cm. Its parallel sides are 12 cm and 5 cm. What is the distance between them (in cm)?
4. 4.Use (a + b)(a − b) = a² − b² to find 32 × 28.
5. 5.A trapezium has an area of 343 square cm. Its parallel sides are 21 cm and 28 cm. What is the distance between them (in cm)?
6. 6.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
7. 7.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
8. 8.A cuboid is 8 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
9. 9.The sum of four consecutive whole numbers is 126. What is the largest of them?
10. 10.What is the value of 6⁵? =
11. 11.A room is 6 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
12. 12.What is √3136? =
13. 13.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
14. 14.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
15. 15.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
16. 16.Solve: 3(t − 3) = 2t + 4. What is t?
17. 17.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
18. 18.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
19. 19.Write 9.3 × 10⁻⁴ as a decimal. =
20. 20.What is the value of 3⁻¹ (as a fraction)? =
21. 21.What is the difference between the compound interest and the simple interest on ₹32500 at 8% per year for 2 years (in ₹)?
22. 22.Which of these is a perfect square? (a) 116 (b) 100 (c) 108
23. 23.Use a² − b² = (a + b)(a − b) to find 41² − 16².
24. 24.A scooter is worth ₹54900. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
25. 25.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
26. 26.What amount will ₹38800 grow to in 2 years at 15% per year compound interest (in ₹)?
27. 27.Which of these is a perfect square? (a) 248 (b) 225 (c) 249
28. 28.Solve: 5(y − 1) = 3y + 1. What is y?
29. 29.A town has 40000 people. The population grows by 4% every year. What will the population be after 2 years?
30. 30.The diagonals of a rhombus are 24 cm and 8 cm. What is its area (in square cm)?
31. 31.A cuboid is 9 cm long, 10 cm wide and 9 cm high. What is its total surface area (in square cm)?
32. 32.What is 19³? =
33. 33.Which of these is a perfect square? (a) 296 (b) 320 (c) 289
34. 34.Find the value of x² + 2xy + y² when x = 6 and y = 2.
35. 35.Solve: 6(m − 1) = 4m + 4. What is m?
36. 36.What is the value of 5⁷? =
37. 37.What is the value of (5/8)⁻²? =
38. 38.How many whole numbers lie between 8² and 9²?
39. 39.How many whole numbers lie between 46² and 47²?
40. 40.A trapezium has parallel sides of 25 cm and 9 cm, and the distance between them is 7 cm. What is its area (in square cm)?

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