Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 75 · 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.Write 9,800 in standard form as 9.8 × 10ⁿ. What is n?
2. 2.If a − b = 1 and ab = 12, what is a² + b²?
3. 3.Find the value of x² + 2xy + y² when x = 13 and y = 8.
4. 4.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
5. 5.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
6. 6.Which of these is a perfect square? (a) 562 (b) 529 (c) 546
7. 7.Solve: 3y + 13 = y + 15. What is y?
8. 8.A scooter is worth ₹55600. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
9. 9.What is the value of 5⁶ × 5⁻²? =
10. 10.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
11. 11.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
12. 12.A square garden has an area of 25 square m. How long is each side (in m)?
13. 13.A cuboid is 12 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
14. 14.Use (a − b)² = a² − 2ab + b² to find 18².
15. 15.A father is 33 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
16. 16.Use a² − b² = (a + b)(a − b) to find 66² − 5².
17. 17.What is √676? =
18. 18.What is the smallest whole number by which 40 must be multiplied to get a perfect square?
19. 19.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
20. 20.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
21. 21.Use a² − b² = (a + b)(a − b) to find 98² − 1².
22. 22.What is 14³? =
23. 23.What is ∛2744? =
24. 24.What is the smallest whole number by which 540 must be divided to get a perfect square?
25. 25.Use (a + b)(a − b) = a² − b² to find 76 × 64.
26. 26.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
27. 27.Which of these is a perfect cube? (a) 125 (b) 138 (c) 130
28. 28.What is the value of 3³ × 3⁻³? =
29. 29.A scooter is worth ₹21600. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
30. 30.A father is 7 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
31. 31.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
32. 32.What is 19²? =
33. 33.Find the compound interest on ₹15000 at 10% per year for 2 years, compounded every year (in ₹).
34. 34.Solve: y/6 + y/2 = 28. What is y?
35. 35.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
36. 36.Find the value of x² + 2xy + y² when x = 8 and y = 1.
37. 37.The sum of four consecutive whole numbers is 142. What is the smallest of them?
38. 38.What is the smallest whole number by which 135 must be multiplied to get a perfect square?
39. 39.Write (8⁷)² as a single power 8ⁿ. What is n?
40. 40.Find the compound interest on ₹55100 at 15% per year for 1 year, compounded every year (in ₹).

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