FREE Civil Service Exam Reviewer – Numerical Reasoning 2 (2023)

1. A container contains 5 liters and 250 milliliters of water. What is the volume of the container in milliliters?

2. Find the Greatest Common Factor of of 72 and 120.

3. Factor:

4x² - 25

4. Evaluate:

5 * (9 - 7) + 4² ÷ 2

5. Calculate the MODE of the following data:

16, 18, 12, 20, 15, 17, 14, 16, 18, 13, 17, 19

6. Calculate the MEDIAN of the following data:

16, 18, 12, 20, 15, 17, 14, 16, 18, 13, 17, 19

7. Calculate the MODE of the following data:

3, 2, 4, 3, 5, 6, 3, 2, 5, 4, 6, 5, 2, 3, 6

8. Evaluate:

(10 - 3) * (4 + 2) ÷ 2

9. A company's revenue increased from $500,000 to $700,000 in a year. What was the percentage increase?

10. Find the Least Common Multiple of 36, 48, and 60.

11. In a factory, 40% of the employees are engineers, 30% are technicians, 15% are administrators, and the rest are laborers. How many laborers are there if the factory employs 800 people?

12. In a school election, a candidate received 45% of the votes. If the total number of votes was 10,000, how many votes did the candidate get?

13. The temperature in a city changed by -8.5°C in the morning and then increased by 15.7°C in the afternoon. What was the net temperature change?

14. Solve for y:

3y + 5(2y - 1) = 12

15. Solve for x:

2^(x + 1) = 16

16. The length of a rectangular garden is 25 meters, and the diagonal measures 29 meters. Find the width of the garden.

17. A car's value depreciated by 25% in the first year and by 15% in the second year. What is the total percentage decrease in the car's value over two years?

18. The scale of a map is 1:50,000. If the distance between two cities on the map is 8 cm, what is the actual distance in kilometers?

19. Find the Least Common Denominator of 1/3, 2/5, and 3/4.

20. Evaluate:

12 - (6 + 2) * 3 ÷ 6