Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 676 · 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.Use a² − b² = (a + b)(a − b) to find 46² − 44².
2. 2.If a + b = 3 and ab = 2, what is a² + b²?
3. 3.Find the compound interest on ₹3200 at 25% per year for 3 years, compounded every year (in ₹).
4. 4.What is √1681? =
5. 5.What is 19³? =
6. 6.A trapezium has parallel sides of 13 cm and 3 cm, and the distance between them is 15 cm. What is its area (in square cm)?
7. 7.Write 9.3 × 10⁻² as a decimal. =
8. 8.A trapezium has parallel sides of 13 cm and 23 cm, and the distance between them is 9 cm. What is its area (in square cm)?
9. 9.If a + b = 10 and ab = 21, what is a² + b²?
10. 10.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
11. 11.Use (a − b)² = a² − 2ab + b² to find 17².
12. 12.A trapezium has parallel sides of 25 cm and 7 cm, and the distance between them is 3 cm. What is its area (in square cm)?
13. 13.What is ∛15625? =
14. 14.Find the value of x² + 2xy + y² when x = 12 and y = 10.
15. 15.Solve: 5(n − 5) = n + 47. What is n?
16. 16.What is ∛216? =
17. 17.A cuboid is 3 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
18. 18.Find the compound interest on ₹13500 at 20% per year for 3 years, compounded every year (in ₹).
19. 19.Write 2.7 × 10⁻¹ as a decimal. =
20. 20.Write 7² × 7³ as a single power 7ⁿ. What is n?
21. 21.A town has 12200 people. The population grows by 10% every year. What will the population be after 2 years?
22. 22.A father is 24 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
23. 23.Solve: 5(m − 5) = m + 47. What is m?
24. 24.What is the value of 2⁵? =
25. 25.Which of these is a perfect square? (a) 210 (b) 199 (c) 196
26. 26.Find the compound interest on ₹8000 at 15% per year for 3 years, compounded every year (in ₹).
27. 27.The length of a rectangle is 10 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
28. 28.What is the value of 6⁻¹ (as a fraction)? =
29. 29.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
30. 30.A father is 28 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
31. 31.Which of these is a perfect square? (a) 1329 (b) 1337 (c) 1296
32. 32.What is the value of 5⁶? =
33. 33.Use a² − b² = (a + b)(a − b) to find 48² − 15².
34. 34.Solve: t/2 + t/6 = 24. What is t?
35. 35.Find the compound interest on ₹60000 at 4% per year for 2 years, compounded every year (in ₹).
36. 36.A square garden has an area of 576 square m. How long is each side (in m)?
37. 37.Write 5¹² ÷ 5⁴ as a single power 5ⁿ. What is n?
38. 38.A town has 25200 people. The population grows by 15% every year. What will the population be after 2 years?
39. 39.How many whole numbers lie between 40² and 41²?
40. 40.Use a² − b² = (a + b)(a − b) to find 85² − 47².

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