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

1. 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?

2. 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?

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

4. 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?

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

6. Evaluate:

(10 - 3) * (4 + 2) ÷ 2

7. Solve the system of equations:

x - y = 10

2x - 3y = 4

8. Calculate the MODE of the following data:

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

9. Calculate the MEDIAN of the following data:

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

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

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

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

13. Evaluate:

2³ + 6 - (4 + 2)

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

15. Calculate the MODE of the following data:

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

16. Factor:

x³ - 8

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

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

19. Solve for x:

2^(x + 1) = 16

20. Evaluate:

7 + 2 * (15 ÷ (3 + 2))