Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 258 · 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.What is the value of 6⁻² (as a fraction)? =
2. 2.What is the value of 10²? =
3. 3.If a + b = 12 and ab = 35, what is a² + b²?
4. 4.Find the value of x² − y² when x = 9 and y = 1.
5. 5.Find the compound interest on ₹11100 at 4% per year for 1 year, compounded every year (in ₹).
6. 6.What amount will ₹24000 grow to in 3 years at 5% per year compound interest (in ₹)?
7. 7.What is the value of 3⁶ × 3⁻²? =
8. 8.What is the value of 2⁴ × 2⁻²? =
9. 9.What is the difference between the compound interest and the simple interest on ₹36000 at 25% per year for 2 years (in ₹)?
10. 10.Find the compound interest on ₹2500 at 8% per year for 2 years, compounded every year (in ₹).
11. 11.Use (a + b)(a − b) = a² − b² to find 45 × 35.
12. 12.A town has 40800 people. The population grows by 5% every year. What will the population be after 1 year?
13. 13.Use (a + b)² = a² + 2ab + b² to find 91².
14. 14.What is the value of 7⁵? =
15. 15.What is the difference between the compound interest and the simple interest on ₹40800 at 25% per year for 2 years (in ₹)?
16. 16.Find the value of x² − 2xy + y² when x = 12 and y = 5.
17. 17.A scooter is worth ₹31600. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
18. 18.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
19. 19.What is ∛6859? =
20. 20.The sum of two consecutive whole numbers is 73. What is the largest of them?
21. 21.How many whole numbers lie between 13² and 14²?
22. 22.A father is 28 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
23. 23.A square garden has an area of 121 square m. How long is each side (in m)?
24. 24.Write 3⁹ ÷ 3² as a single power 3ⁿ. What is n?
25. 25.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
26. 26.Use (a + b)² = a² + 2ab + b² to find 66².
27. 27.What is the smallest whole number by which 75 must be multiplied to get a perfect square?
28. 28.What is 26²? =
29. 29.What is the difference between the compound interest and the simple interest on ₹28000 at 5% per year for 2 years (in ₹)?
30. 30.Solve: 6(x − 3) = 3x + 39. What is x?
31. 31.Find the compound interest on ₹42100 at 20% per year for 1 year, compounded every year (in ₹).
32. 32.A town has 33600 people. The population grows by 25% every year. What will the population be after 1 year?
33. 33.What is the value of 6³? =
34. 34.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
35. 35.A room is 11 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
36. 36.What is √484? =
37. 37.The sum of three consecutive whole numbers is 87. What is the smallest of them?
38. 38.A square garden has an area of 1225 square m. How long is each side (in m)?
39. 39.A trapezium has an area of 35 square cm. Its parallel sides are 5 cm and 30 cm. What is the distance between them (in cm)?
40. 40.What is 62²? =

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