Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 354 · 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.Find the compound interest on ₹22500 at 12% per year for 2 years, compounded every year (in ₹).
2. 2.Which of these is a perfect square? (a) 308 (b) 323 (c) 289
3. 3.Write 5,30,000 in standard form as 5.3 × 10ⁿ. What is n?
4. 4.Write 8³ × 8⁶ as a single power 8ⁿ. What is n?
5. 5.Find the value of x² + 2xy + y² when x = 11 and y = 3.
6. 6.The sum of three consecutive whole numbers is 42. What is the largest of them?
7. 7.If a − b = 1 and ab = 2, what is a² + b²?
8. 8.Find the compound interest on ₹36000 at 20% per year for 3 years, compounded every year (in ₹).
9. 9.A square garden has an area of 2809 square m. How long is each side (in m)?
10. 10.A father is 24 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
11. 11.If a + b = 11 and ab = 10, what is a² + b²?
12. 12.Find the compound interest on ₹59200 at 25% per year for 3 years, compounded every year (in ₹).
13. 13.What is ∛5832? =
14. 14.Write 7.4 × 10⁻² as a decimal. =
15. 15.Use (a + b)(a − b) = a² − b² to find 104 × 96.
16. 16.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
17. 17.Use (a + b)² = a² + 2ab + b² to find 36².
18. 18.Write 5¹¹ ÷ 5⁸ as a single power 5ⁿ. What is n?
19. 19.A cuboid is 15 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
20. 20.A trapezium has parallel sides of 10 cm and 29 cm, and the distance between them is 18 cm. What is its area (in square cm)?
21. 21.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
22. 22.What is ∛13824? =
23. 23.Use (a − b)² = a² − 2ab + b² to find 88².
24. 24.Use (a + b)² = a² + 2ab + b² to find 78².
25. 25.What is the value of 9³? =
26. 26.A square garden has an area of 144 square m. How long is each side (in m)?
27. 27.What is the smallest whole number by which 45 must be multiplied to get a perfect square?
28. 28.Use a² − b² = (a + b)(a − b) to find 77² − 70².
29. 29.What is the smallest whole number by which 117 must be divided to get a perfect square?
30. 30.Use (a + b)(a − b) = a² − b² to find 75 × 65.
31. 31.A room is 9 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
32. 32.What is the value of 5⁵ × 5⁻⁶? =
33. 33.Solve: 5(x − 1) = x + 27. What is x?
34. 34.A square garden has an area of 36 square m. How long is each side (in m)?
35. 35.A town has 28000 people. The population grows by 10% every year. What will the population be after 3 years?
36. 36.A scooter is worth ₹60000. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
37. 37.A square garden has an area of 196 square m. How long is each side (in m)?
38. 38.What is the value of 2³? =
39. 39.What is 95²? =
40. 40.Find the value of x² + 2xy + y² when x = 15 and y = 1.

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets