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

1. Solve for x:

2^(x + 1) = 16

2. Simplify:

(x² + 3x - 4) / (x + 4)

3. 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?

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

5. Solve for y:

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

6. Find the Least Common Multiple of 8, 15, and 20.

7. The perimeter of a regular hexagon is 60 cm. What is the length of each side?

8. The weight of a box of books is 36.8 kg. If each book weighs 800 grams, how many books are in the box?

9. Evaluate:

(10 - 3) * (4 + 2) ÷ 2

10. Calculate the MEDIAN of the following data:

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

11. 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?

12. Evaluate:

5 * (9 - 7) + 4² ÷ 2

13. A right-angled triangle has side lengths of 13 cm and 84 cm. Find the length of the hypotenuse.

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

15. In an exam, 15% of the students failed. If there were 400 students in the exam, how many students passed?

16. 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?

17. Calculate the MEDIAN of the following data:

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

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

19. Calculate the MEAN of the following data:

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

20. Evaluate:

2³ + 6 - (4 + 2)