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

1. Factor:

x³ - 8

2. 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?

3. Evaluate:

2³ + 6 - (4 + 2)

4. 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?

5. The value of a painting appreciated by 30% in the first year, then depreciated by 25% in the second year. What is the net percentage change in the painting's value?

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

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

8. Calculate the MEAN of the following data:

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

9. Evaluate:

12 - (6 + 2) * 3 ÷ 6

10. Find the Greatest Common Factor of of 48, 64, and 96.

11. Solve the system of equations:

x - y = 10

2x - 3y = 4

12. 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?

13. Simplify (1/4) + (2/7) using the Least Common Denominator.

14. Calculate the MEDIAN of the following data:

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

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

16. The price of a product increased by 40%, and sales decreased by 20%. What is the net percentage change in revenue?

17. Calculate the MODE of the following data:

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

18. Evaluate:

7 + 2 * (15 ÷ (3 + 2))

19. 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?

20. Solve for y:

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