Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 371 · 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 difference between the compound interest and the simple interest on ₹47000 at 20% per year for 2 years (in ₹)?
2. 2.What is the difference between the compound interest and the simple interest on ₹14000 at 5% per year for 2 years (in ₹)?
3. 3.What is the value of 2⁵? =
4. 4.Find the compound interest on ₹50200 at 8% per year for 1 year, compounded every year (in ₹).
5. 5.What is the value of 5³ × 5⁻⁶? =
6. 6.What is 20²? =
7. 7.Find the value of x² − 2xy + y² when x = 3 and y = 2.
8. 8.What is ∛10648? =
9. 9.What is the smallest whole number by which 567 must be divided to get a perfect square?
10. 10.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
11. 11.Use (a + b)(a − b) = a² − b² to find 53 × 47.
12. 12.Use (a + b)² = a² + 2ab + b² to find 13².
13. 13.If a + b = 4 and ab = 3, what is a² + b²?
14. 14.What amount will ₹48700 grow to in 1 year at 10% per year compound interest (in ₹)?
15. 15.Use (a + b)(a − b) = a² − b² to find 33 × 27.
16. 16.Use a² − b² = (a + b)(a − b) to find 69² − 35².
17. 17.How many whole numbers lie between 39² and 40²?
18. 18.Write 1.8 × 10⁻³ as a decimal. =
19. 19.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
20. 20.A square garden has an area of 484 square m. How long is each side (in m)?
21. 21.A scooter is worth ₹35200. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
22. 22.A room is 5 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
23. 23.Use a² − b² = (a + b)(a − b) to find 36² − 23².
24. 24.Which of these is a perfect cube? (a) 187 (b) 125 (c) 191
25. 25.What is 15³? =
26. 26.Which of these is a perfect square? (a) 225 (b) 253 (c) 243
27. 27.Use (a + b)² = a² + 2ab + b² to find 33².
28. 28.A room is 4 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
29. 29.What is the value of 3⁻² (as a fraction)? =
30. 30.What is the value of 7⁵? =
31. 31.Solve: 4(x − 5) = 2x + 20. What is x?
32. 32.What is the difference between the compound interest and the simple interest on ₹18000 at 5% per year for 2 years (in ₹)?
33. 33.A father is 33 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
34. 34.What is 9³? =
35. 35.A trapezium has an area of 11 square cm. Its parallel sides are 9 cm and 2 cm. What is the distance between them (in cm)?
36. 36.A square garden has an area of 1024 square m. How long is each side (in m)?
37. 37.A town has 6800 people. The population grows by 25% every year. What will the population be after 2 years?
38. 38.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
39. 39.Write (3²)⁷ as a single power 3ⁿ. What is n?
40. 40.What is the smallest whole number by which 384 must be multiplied to get a perfect square?

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