Calculate the following. Please show all
work. [30 points]


1.

There
were 64 people at a board meeting. If the ratio of men to women was 5:3, how many women were at the
meeting?


2.

At a
certain corporation. the ratio of unionized workers to nonunionized is 3 to 7. If a total of 120
people work for that corporation, how many are unionized workers?


3.

In
2004 there were 801 crimes committed in the 9th precinct. These crimes involved theft, rape, and
drugs in the ratio of 3:2:4. How many crimes involved theft?


4.

Amelia’s pulse rate is 14 beats every 15 seconds. What is her rate in beats per
minute?


5.

Meg
died and left $600,000 to her 3 children, Joan, Georgette, and Ray in the ratio of 13:6:1,
respectively. How much is Joan’s share?


6.

A can
contains 200 mixed nuts: almonds, cashews, and peanuts. If the probability of choosing an almond is
and the probability of choosing a cashew is , how many peanuts are in the can?


7.

A
certain triangle has an area of 9 square inches. If its base is 3 inches, what is its height in
inches?


8.

What
is the approximate circumference of a circle (to the nearest inch) whose diameter is 14
inches?



Figure 1


9.

What
is the perimeter of the polygon (Figure 1) in inches?

Multiple Choice
For questions
1620, calculate the probability





10.

A
spinner has 4 equal sectors colored yellow, blue, green and red. What are the chances of landing on
blue after spinning the spinner? What are the chances of landing on red?





11.

If a
sixsided die is rolled, what is the probability of a five landing on top?





12.

A
glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a single marble is chosen at
random from the jar, what is the probability of choosing a red marble?


13.

A
glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a single marble is chosen at
random from the jar, what is the probability of choosing a green marble?


14.

A
glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a single marble is chosen at
random from the jar, what is the probability of choosing a blue marble?


15.

A bag
contains 105 jelly beans: 23 white, 23 red, 14 purple, 26 yellow, and 19 green ones. What is the
probability of selecting either a yellow or a green jelly bean?
