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Civil Service Exam: Mathematics Practice Test
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Civil Service Exam: Mathematics Practice Test
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25 Questions

1. 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?
2. A recipe for making 50 pancakes calls for 24 cups of flour. How many cups of flour are needed to make only 8 pancakes?
3. The area of a circle is 8π. What is the length of the radius?
4. 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
5. 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?
6. Which equation is represented by the graph shown below?
7. 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?
8. What is the next term in the sequence 1, 3, 7, 13, 21, …?
9. 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?
10. 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?
11. What is the least common denominator for the fractions
 and
12. 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?
13. 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?
14. The figure shows two rectangles. Rectangle I is 50% longer than rectangle II. Rectangle II is 50% wider than rectangle I. What is the ratio of the area of rectangle I to the area of rectangle II?
15. An irregular pentagon has three internal right angles and dimensions as shown in the figure below. What is the area in square feet?
16. Cassandra must average at least 70 on three math tests to get a passing grade. Her scores on the first two tests were 64 and 80. What is the minimum score she must get on the third test to pass?
17. For the number set {7, 12, 5, 16, 23, 44, 18, 9, Z}, which of the following values could be equal to Z if Z is the median of the set?
18. 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?
19. Equal numbers of dimes and pennies are placed in a single row on a table. Which of the following must be true?
20. A charity organization is preparing a fund-raising dinner. The goal is to raise $27,000. They must pay costs of $1,000 to rent the hall for the evening, plus $2,500 in wages for staff and $25.00 per plate of food served. If tickets to the dinner cost $150, how many tickets must the organization sell in order to reach their goal?
21. A line passes through the points (–1, 2) and (3, 8). What is the slope of the line?
22. 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?
23. In the figure below, a circle with radius r is inscribed within a square. What is the area of the shaded region?
24. The sum of 14 and twice a number is 8. What is the
25. Identify the median of the following data set: {12, 14, 45, 9, 7, 16, 13, 4}.

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