Home > Civil Service Exam (United States) > Quizzes > Civil Service Exam: Mathematics Practice Test
Civil Service Exam: Mathematics Practice Test
Fast practice, instant feedback. Timer auto-submits when time’s up.
Avg score: 6% • Most missed: “In the right triangle shown below, side AB is twice the length of side BC. What …”
Civil Service Exam: Mathematics Practice Test
Time left 00:00
25 Questions

1. A recipe for making 50 pancakes calls for 24 cups of flour. How many cups of flour are needed to make only 8 pancakes?
2. Jenny buys a lottery ticket. It has five digits. For each digit, there is an equal probability that any of the numbers 0 – 9 will be chosen. Jenny's number is 00573. What is the chance that she might win?
3. Forty students in a class take a test that is graded on a scale of 1 to 10. The histogram in the figure shows the grade distribution, with the x-axis representing the grades and the y-axis representing the number of students obtaining each grade. If the mean, median, and modal values are represented by n, p, and q, respectively, which of the following is true?
4. A regular deck of cards has 52 cards. What is the probability of drawing three aces in a row?
5. In the figure below, two circles with radii of length R are tangential to one another. The line segment AB joins their centers. A second line segment, AC, extends from the center of one circle and is tangential to the other. What is the length of the line segment AC
6. A long distance runner does a first lap around a track in exactly 50 seconds. As she tires, each subsequent lap takes 20% longer than the previous one. How long does she take to run 3 laps?
7. Regina goes to the ice cream store to get a cone with three scoops. There are nine flavors to choose from, and she wants to get three different flavors. How many different combinations of three flavors are possible?
8. In a game played with toothpicks, players A and B take turns removing toothpicks from a row on a table. At each turn, each player must remove 1, 2, or 3 toothpicks from the row. The object is to force the other player to remove the last toothpick. If there are 6 toothpicks in the row, which of the following moves ensures a win?
9. In the right triangle shown below, side AB is twice the length of side BC. What is the area of the triangle in cm2?
10. Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26-mile marathon. She decides to add 2 miles each day to her distance until she achieves her goal. If she starts with 6 miles today, how many miles will she have run, in total, by the time she achieves her 26-mile goal?
11. Equal numbers of dimes and pennies are placed in a single row on a table. Which of the following must be true?
12. The area of a circle is 8π. What is the length of the radius?
13. The letter H exhibits symmetry with respect to a horizontal axis, as shown in the figure, as everything below the dashed line is a mirror image of everything above it. Which of the following letters does NOT exhibit horizontal symmetry?
14. Which of the following represents an irrational number?
15. The Quality Mushroom Company sells small mushrooms for $5.95 per pound and large mushrooms for $6.95 per pound. How many pounds of large mushrooms should be mixed with 2 pounds of small ones in order to create a mixture that sells for $6.75 per pound?
16. The figure below shows two triangles that are ___________ .
17. A line passes through the points (–1, 2) and (3, 8). What is the slope of the line?
18. A sailor judges the distance to a lighthouse by holding a ruler at arm's length and measuring the apparent height of the lighthouse. He knows that the lighthouse is actually 60 feet tall. If it appears to be 3 inches tall when the ruler is held 2 feet from his eye, how far away is it?
19. Miguel buys a loaf of bread at the grocery store for $4.25. He also buys two bottles of soda for $2.15 each, a chocolate bar for $1.90, a bottle of shampoo for $5.25, and three magazines for $1.50 each. How much did he spend in all?
20. The sides of a triangle are equal to integral numbers of units. Two sides are 4 and 6 units long, respectively; what is the minimum value for the triangle's perimeter?
21. A lumberyard charges $1 per cut to trim boards. Bob buys a 12-ft board and wants it cut into twelve 1-ft pieces. How much will he be charged for the cutting?
22. A water sprinkler covers a circular area with a radius of 6 feet. If the water pressure is increased so that the radius increases to 8 feet, by approximately how much is the area covered by the water increased?
23. Josephine invests a sum of money at 4% interest for a year. At the end of this time, she has earned $200 in interest. What was the original amount of money that she invested?
24. In the figure below, a circle with radius r is inscribed within a square. What is the area of the shaded region?
25. An automobile manufacturer offers a rebate equivalent to 15% of the list price of a vehicle. If a new sedan normally sells for a list price of $30,000, what is the price that must be paid with the rebate?

⚡ Recently practiced quizzes in this topic
Live quiz activity
Civil Service Exam: Reading Comprehension Practice Test 4 Civil Service Exam: Reading Comprehension Practice Test 9 Civil Service Exam: Reading Comprehension Practice Test 7
 
❤ If you liked Fatskills, consider supporting us by checking out The Life Manuals You Never Got.

🌈  Our mission is to help improve your scores in any subject and exam withonline quizzes, practice tests, study guides, & advice for students. Since 2018.
About | Explore | User Guide | Topics | Subjects | Doubt Solver | Career Aptitude Test | Answers | Free Tools | What Should We Know?
Privacy | Terms |
Without work one finishes nothing. - Ralph Waldo Emerson
© 2026 Fatskills.com

All trademarks, logos and brand names are the property of their respective owners. All company, product and service names used in this website are for identification purposes only. Use of these names, trademarks and brands does not imply endorsement.