Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 398 · 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 smallest whole number by which 24 must be multiplied to get a perfect square?
2. 2.Use (a + b)(a − b) = a² − b² to find 38 × 22.
3. 3.Write 3¹¹ ÷ 3² as a single power 3ⁿ. What is n?
4. 4.A father is 39 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
5. 5.Find the value of x² − y² when x = 7 and y = 2.
6. 6.A father is 30 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
7. 7.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
8. 8.Use a² − b² = (a + b)(a − b) to find 30² − 1².
9. 9.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
10. 10.Which of these is a perfect cube? (a) 1561 (b) 1331 (c) 1374
11. 11.What amount will ₹11500 grow to in 1 year at 8% per year compound interest (in ₹)?
12. 12.What is √2304? =
13. 13.What is the value of 8⁻¹ (as a fraction)? =
14. 14.Write 5⁸ ÷ 5⁴ as a single power 5ⁿ. What is n?
15. 15.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
16. 16.The diagonals of a rhombus are 6 cm and 22 cm. What is its area (in square cm)?
17. 17.What is the difference between the compound interest and the simple interest on ₹54300 at 10% per year for 2 years (in ₹)?
18. 18.What is the smallest whole number by which 135 must be divided to get a perfect cube?
19. 19.Use (a − b)² = a² − 2ab + b² to find 61².
20. 20.Write (2⁹)⁸ as a single power 2ⁿ. What is n?
21. 21.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
22. 22.If a − b = 1 and ab = 6, what is a² + b²?
23. 23.Write 9¹¹ ÷ 9⁸ as a single power 9ⁿ. What is n?
24. 24.What amount will ₹21000 grow to in 3 years at 10% per year compound interest (in ₹)?
25. 25.What amount will ₹45500 grow to in 3 years at 20% per year compound interest (in ₹)?
26. 26.A scooter is worth ₹20800. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
27. 27.Find the compound interest on ₹50600 at 5% per year for 1 year, compounded every year (in ₹).
28. 28.Which of these is a perfect square? (a) 576 (b) 609 (c) 599
29. 29.Use (a + b)(a − b) = a² − b² to find 56 × 44.
30. 30.What is the difference between the compound interest and the simple interest on ₹35000 at 8% per year for 2 years (in ₹)?
31. 31.Use (a − b)² = a² − 2ab + b² to find 41².
32. 32.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
33. 33.A square garden has an area of 196 square m. How long is each side (in m)?
34. 34.Solve: 9x + 13 = 4x + 58. What is x?
35. 35.A trapezium has parallel sides of 6 cm and 2 cm, and the distance between them is 7 cm. What is its area (in square cm)?
36. 36.What is the value of (1/3)⁻²? =
37. 37.What is the value of 9³? =
38. 38.What is the value of 9²? =
39. 39.What is 79²? =
40. 40.Which of these is a perfect square? (a) 1661 (b) 1605 (c) 1600

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