Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 578 · 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.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
2. 2.A square garden has an area of 1600 square m. How long is each side (in m)?
3. 3.The length of a rectangle is 13 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
4. 4.Which of these is a perfect cube? (a) 1215 (b) 1000 (c) 1030
5. 5.What is the smallest whole number by which 208 must be multiplied to get a perfect square?
6. 6.Write 2⁴ × 2⁹ as a single power 2ⁿ. What is n?
7. 7.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
8. 8.Solve: 4n + 10 = 2n + 18. What is n?
9. 9.Use a² − b² = (a + b)(a − b) to find 90² − 31².
10. 10.How many whole numbers lie between 47² and 48²?
11. 11.Use (a + b)(a − b) = a² − b² to find 39 × 21.
12. 12.What is √1521? =
13. 13.A trapezium has an area of 145 square cm. Its parallel sides are 23 cm and 6 cm. What is the distance between them (in cm)?
14. 14.What is the difference between the compound interest and the simple interest on ₹37500 at 12% per year for 2 years (in ₹)?
15. 15.Find the compound interest on ₹12300 at 8% per year for 1 year, compounded every year (in ₹).
16. 16.Solve: y/4 + y/3 = 7. What is y?
17. 17.What is the value of 5⁷? =
18. 18.If a + b = 23 and ab = 132, what is a² + b²?
19. 19.What is 16³? =
20. 20.What is √1600? =
21. 21.The sum of three consecutive whole numbers is 120. What is the largest of them?
22. 22.Use a² − b² = (a + b)(a − b) to find 66² − 60².
23. 23.What is 67²? =
24. 24.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
25. 25.A scooter is worth ₹15400. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
26. 26.Use a² − b² = (a + b)(a − b) to find 90² − 67².
27. 27.A trapezium has an area of 50 square cm. Its parallel sides are 23 cm and 2 cm. What is the distance between them (in cm)?
28. 28.What is the value of (2/7)⁻¹? =
29. 29.A trapezium has an area of 86 square cm. Its parallel sides are 16 cm and 27 cm. What is the distance between them (in cm)?
30. 30.A trapezium has an area of 45 square cm. Its parallel sides are 4 cm and 26 cm. What is the distance between them (in cm)?
31. 31.How many whole numbers lie between 12² and 13²?
32. 32.What is √5184? =
33. 33.Which of these is a perfect square? (a) 1444 (b) 1471 (c) 1483
34. 34.Write 1.5 × 10⁻³ as a decimal. =
35. 35.Use (a − b)² = a² − 2ab + b² to find 36².
36. 36.If a + b = 4 and ab = 3, what is a² + b²?
37. 37.A town has 12100 people. The population grows by 25% every year. What will the population be after 1 year?
38. 38.A cuboid is 5 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
39. 39.Use (a + b)² = a² + 2ab + b² to find 48².
40. 40.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?

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