1. Mr. Burke’s class has twice as many girls as boys. If half of the boys and a quarter of the girls are in the chess club, what is the ratio of girls to boys who are in the chess club?

2. Simplify:

3. The formula for the volume of a cylinder is , where r is the radius of the base and h is the height of the cylinder. Which formula could be used to find h if you’re given V and r?

4. What is the acute angle between the hands of a clock when it is exactly 10 p.m.?

5. Observe this figure of a donut:

What is the ratio of the area of the donut (the shaded area) to the area of the hole?

6. If , what is x in terms of y?

7. Which of the following numbers has the most unique prime factors?

8. For what value of x does ?

9. The speed of sound in air is 320 meters per second. If you see a flash of lightning and it takes 8 seconds before you hear the thunder, how many kilometers away was the lightning strike? (Assume that the light reaches you instantly.)

10. Rachel, Brooke, and Steve love reading novels. The graph shows the number of books that each of them read last year.

Based on the graph, which of the following statements must be true?

11. Observe the following graph.

What is the equation of the line?

12. Sammy earns a weekly base salary of $750 as a shoe salesman. He also earns a 6% commission on his monthly sales after the first $1,000. What is his total salary this month if he sells $4,500 worth of shoes?

13. The test scores of 10 students are listed in the following frequency table.
Score - Number of Students
72 – 1
85 – 3
90 – 4
100 – 2
What is the average score? (Round your answer to the nearest whole number)

14. A plane has a seating capacity of 160 passengers, 40 in first class and the rest in economy class. The average first-class ticket costs $1,200, and the average ticket in economy class is $400.
The price of each first-class ticket used to be $1,500. What percent decrease does the current price represent?

15. Observe the following figure.

What is the slope of the line?

16. Which of the following lists the solutions to the equation ?

17. Observe the following figure.

What is the length of the line segment joining the two data points shown on the figure?

18. A researcher asked a group of 400 students about what types of pets they preferred. She recorded the results in the following pie chart.

What is the ratio of the number of dogs to cats to rabbits that the students prefer? Simplify your answer as much as possible.

19. The dimensions of a rectangular prism are 9 inches wide by 18 inches long by 2 feet tall. What is the volume of the prism in cubic feet?

20. The following table shows the time needed to cook a turkey based on the weight of the turkey and the temperature of the oven. After the turkey is removed from the oven, it should be left to rest for 30 minutes before it’s carved to ensure that it remains juicy.
Weight of Turkey (Pounds) - Cooking Time at 325°F - Cooking Time at 375°F
8–12 lb. - 2.5–3.0 hours - 2.0–2.5 hours
12–16 lb. - 3.0–3.5 hours - 2.5–3.0 hours
16–20 lb. - 3.5–4.0 hours - 3.0–3.5 hours
20–24 lb. - 4.0–4.5 hours - 3.5–4.0 hours
How long does a 23-pound turkey take to cook at an oven temperature of 375°F?

21. A bag contains 6 blue marbles, 5 red marbles, 3 green marbles, and 2 yellow marbles.
What fraction of the marbles is blue?

22. Observe the following linear equation.