Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 84 · 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 √4761? =
2. 2.5.1 × 10² =
3. 3.A cuboid is 5 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
4. 4.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
5. 5.A father is 24 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
6. 6.If a + b = 3 and ab = 2, what is a² + b²?
7. 7.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
8. 8.Write 7.6 × 10⁻⁴ as a decimal. =
9. 9.Use (a − b)² = a² − 2ab + b² to find 86².
10. 10.Use (a − b)² = a² − 2ab + b² to find 91².
11. 11.Find the value of x² − y² when x = 7 and y = 4.
12. 12.Find the value of x² + 2xy + y² when x = 10 and y = 8.
13. 13.What is ∛2744? =
14. 14.What is 7³? =
15. 15.What is ∛12167? =
16. 16.Find the value of x² − y² when x = 9 and y = 6.
17. 17.A father is 7 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
18. 18.Write (2³)³ as a single power 2ⁿ. What is n?
19. 19.8.4 × 10⁴ =
20. 20.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
21. 21.Write 8⁹ ÷ 8⁶ as a single power 8ⁿ. What is n?
22. 22.Solve: 4(m − 3) = 2m + 14. What is m?
23. 23.What is the value of 3³? =
24. 24.What is the difference between the compound interest and the simple interest on ₹25000 at 8% per year for 2 years (in ₹)?
25. 25.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
26. 26.The diagonals of a rhombus are 6 cm and 27 cm. What is its area (in square cm)?
27. 27.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
28. 28.What is ∛343? =
29. 29.Use a² − b² = (a + b)(a − b) to find 67² − 50².
30. 30.What is the difference between the compound interest and the simple interest on ₹43600 at 15% per year for 2 years (in ₹)?
31. 31.What amount will ₹46600 grow to in 1 year at 4% per year compound interest (in ₹)?
32. 32.Which of these is a perfect cube? (a) 257 (b) 216 (c) 279
33. 33.A square garden has an area of 100 square m. How long is each side (in m)?
34. 34.A square garden has an area of 2500 square m. How long is each side (in m)?
35. 35.The sum of three consecutive whole numbers is 162. What is the smallest of them?
36. 36.Find the value of x² − y² when x = 15 and y = 10.
37. 37.Use a² − b² = (a + b)(a − b) to find 43² − 18².
38. 38.A cuboid is 15 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
39. 39.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
40. 40.Solve: 6x + 5 = 3x + 11. What is x?

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