Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 942 · 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 square garden has an area of 1681 square m. How long is each side (in m)?
2. 2.Write 200 in standard form as 2 × 10ⁿ. What is n?
3. 3.7.2 × 10² =
4. 4.A town has 56000 people. The population grows by 15% every year. What will the population be after 1 year?
5. 5.Find the value of x² − 2xy + y² when x = 7 and y = 3.
6. 6.What is the value of 2⁶? =
7. 7.Use (a + b)² = a² + 2ab + b² to find 91².
8. 8.The length of a rectangle is 10 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
9. 9.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
10. 10.What is 9³? =
11. 11.Solve: 3m + 8 = m + 28. What is m?
12. 12.A cuboid is 9 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
13. 13.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
14. 14.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
15. 15.Use (a − b)² = a² − 2ab + b² to find 57².
16. 16.Solve: 4(n − 2) = 2n + 12. What is n?
17. 17.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
18. 18.What amount will ₹43200 grow to in 3 years at 25% per year compound interest (in ₹)?
19. 19.Solve: y/4 + y/3 = 14. What is y?
20. 20.What is the value of 4⁸? =
21. 21.Solve: 3(y − 4) = y + 24. What is y?
22. 22.Use (a + b)(a − b) = a² − b² to find 27 × 13.
23. 23.A trapezium has parallel sides of 4 cm and 9 cm, and the distance between them is 18 cm. What is its area (in square cm)?
24. 24.What is the smallest whole number by which 250 must be divided to get a perfect cube?
25. 25.The diagonals of a rhombus are 8 cm and 18 cm. What is its area (in square cm)?
26. 26.Use a² − b² = (a + b)(a − b) to find 64² − 57².
27. 27.A scooter is worth ₹19200. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
28. 28.What is the value of 9²? =
29. 29.A scooter is worth ₹22400. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
30. 30.What is 10³? =
31. 31.How many whole numbers lie between 11² and 12²?
32. 32.What is the value of 3¹ × 3⁻³? =
33. 33.Use (a + b)(a − b) = a² − b² to find 31 × 29.
34. 34.A square garden has an area of 225 square m. How long is each side (in m)?
35. 35.A town has 55000 people. The population grows by 12% every year. What will the population be after 2 years?
36. 36.Write 7.8 × 10⁻³ as a decimal. =
37. 37.A room is 5 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
38. 38.Use (a − b)² = a² − 2ab + b² to find 13².
39. 39.A scooter is worth ₹19000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
40. 40.What is the difference between the compound interest and the simple interest on ₹44800 at 25% per year for 2 years (in ₹)?

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