What is the least common multiple of 105 and 231?

A bag contains only green and red balls. A player draws a single ball from the bag. If the ball is green they win, and if it is red they lose. Initially, the bag contained 20 green balls and an unknown (non-zero) number of red balls.

When 24 additional green balls are added to the bag with no change to the number of red balls, it causes the probability of losing to be halved (i.e. a player is now half as likely to lose).

How many red balls are in the bag?

The table below shows the distribution of attendees of a conference by sex and by whether they leased or bought the car they drive.

	Lease	Buy
Male	25	40
Female	18	37

Among those attendees who lease their car, what percentage are female?

Which of the following scatter plots shows a weak negative correlation between \(x\) and \(y\)?

A company is analyzing data which shows the relationship between the hourly wage of employees (W) and the number of vacation days taken (D). Which statement below best describes the relationship between W and D?

The scatter plot below shows data points along with a line of best fit. Which of the following is the equation for the graph of the line of best fit?

The pictograph below shows bicycle sales by category in the USA for 2017. According to the pictograph, what was the mean sales amongst the three categories of bicycles?

The graph below shows data for two products, Widgets and Gizmos. For each product the graph shows the sales in units sold and the sales as a percentage of total company sales. For the data shown, what was the greatest decrease in Gizmos unit sales experienced from one month to the next (consecutive months)?

According to the frequency distribution chart shown below, how many students chose a favorite color other than Red, Green, or Blue?

There are 35 data points shown in the scatter-plot below. What fraction of the data points represent an hourly wage (W) less than 50?

Two hundred attendees of a consumer electronics show were surveyed to find their preferred gaming system.

One-fifth of those who were surveyed preferred system “X.” Twice as many preferred system “N” as system “X.” Thirty fewer preferred system “S” compared to system “N.” The rest preferred system “P.”

Which bar graph correctly represents the results of the survey?

The figure below shows a rectangle with exactly one-quarter of it removed. After removing the upper-left quarter, the remaining shape has an area of 96 cm². What is the value of \(x\)?

For the triangle shown below, \(\overline{AB} \cong \overline{BC}\). If \(∠B = 128^\circ\), what is the measure of \(∠C\,?\)

The length of the equator of the earth (shown in pink in the illustration below) is approximately 40,000 kilometers. Given that the equator represents the circumference of a circle with a diameter equal to the diameter of the earth, what is the approximate diameter of the earth?

In a survey of 100 people the following information was obtained: 40 like cats, 30 like both dogs and cats, and 20 do not like either dogs or cats. This information is shown in the diagram below.

How many of those surveyed like dogs but not cats?