Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 856 · 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 (2/7)⁻²? =
2. 2.Use (a + b)² = a² + 2ab + b² to find 65².
3. 3.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
4. 4.Find the compound interest on ₹29900 at 8% per year for 1 year, compounded every year (in ₹).
5. 5.A father is 21 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
6. 6.What is the value of 2¹ × 2⁻⁵? =
7. 7.A trapezium has parallel sides of 26 cm and 23 cm, and the distance between them is 10 cm. What is its area (in square cm)?
8. 8.A town has 32000 people. The population grows by 5% every year. What will the population be after 3 years?
9. 9.A cuboid is 14 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
10. 10.A town has 54100 people. The population grows by 10% every year. What will the population be after 2 years?
11. 11.Use (a + b)(a − b) = a² − b² to find 43 × 37.
12. 12.What is 2³? =
13. 13.What is the value of 2⁵ × 2⁻³? =
14. 14.The sum of three consecutive whole numbers is 159. What is the largest of them?
15. 15.What is the smallest whole number by which 12 must be multiplied to get a perfect square?
16. 16.Use (a + b)(a − b) = a² − b² to find 76 × 64.
17. 17.What is the difference between the compound interest and the simple interest on ₹25000 at 4% per year for 2 years (in ₹)?
18. 18.Use (a + b)² = a² + 2ab + b² to find 81².
19. 19.What amount will ₹55600 grow to in 2 years at 5% per year compound interest (in ₹)?
20. 20.Solve: 5(x − 4) = x + 44. What is x?
21. 21.Find the compound interest on ₹50800 at 25% per year for 2 years, compounded every year (in ₹).
22. 22.Solve: 4(t − 5) = 3t + 9. What is t?
23. 23.Use (a + b)² = a² + 2ab + b² to find 52².
24. 24.Find the value of x² − y² when x = 15 and y = 2.
25. 25.What is the value of 10² × 10⁻¹? =
26. 26.A town has 6500 people. The population grows by 20% every year. What will the population be after 3 years?
27. 27.If a + b = 11 and ab = 24, what is a² + b²?
28. 28.Find the compound interest on ₹30000 at 8% per year for 2 years, compounded every year (in ₹).
29. 29.What is 96²? =
30. 30.Write 7⁸ ÷ 7² as a single power 7ⁿ. What is n?
31. 31.A square garden has an area of 3136 square m. How long is each side (in m)?
32. 32.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
33. 33.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
34. 34.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
35. 35.A cuboid is 3 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
36. 36.A scooter is worth ₹9800. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
37. 37.Write 9³ × 9³ as a single power 9ⁿ. What is n?
38. 38.A cuboid is 13 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
39. 39.If a − b = 6 and ab = 55, what is a² + b²?
40. 40.Use (a + b)² = a² + 2ab + b² to find 14².

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