PSAT 8/9 Math Multiple-Choice Practice Test 6

The use of a calculator is permitted.

1. An office supply store sells boxes of paperclips. Each box contains at least 300 but no more than 400 paperclips. Which of the following could be the total number of paperclips in 5 boxes?

2. A company conducted a survey in which it asked 500 of its employees whether they were satisfied with their current work schedule. The table below shows the responses from all 500 employees that completed the survey.

Part-timeFull-time
Satisfied with schedule126119
Dissatisfied with schedule108?

How many of the full-time employees reported that they were dissatisfied with their work schedules?

3. A teacher uses 2 dry erase markers for every student in his class each year. He also needs 1 red pen for every 5 students. If he determines that he will need 7 red pens for the upcoming school year, which of the following could be the number of dry erase markers that he expects to use?

4. The table below shows the maximum and minimum elevations in five counties in Missouri.

Elevation (in meters)

What is the mean maximum elevation, in meters, of the five counties shown?

5. A random sample of 200 widgets was tested from the 5,913 widgets produced by a factory one day. If 41 of the widgets were defective, approximately how many widgets produced in the factory that day would be expected to be defective?

6. A city adds a 5% hotel tax to the advertised nightly rate for all hotels booked in the city. If the advertised nightly rate for a certain hotel is $117.50, approximately how much hotel tax will be added to the bill?

7. A teacher asks his students to estimate the weight of the snow on their porches after a light snowfall given the weight of snow per cubic meter. One student’s porch is a rectangle measuring 305 centimeters by 425 centimeters and is covered by an even layer of snow 5 millimeters thick. What are the dimensions of the layer of snow (width by length by thickness) in meters? (Note: 1 centimeter = 10 millimeters and 1 meter = 100 centimeters)

8. A scientist at a greenhouse studied the relationship between the growth rate of a particular tree species and its current height. The conditions in the greenhouse were kept constant throughout the study period. The results are shown below, along with the graph of the exponential function that best models the data.

According to the model, which of the following is the best estimate of the plant’s growth rate, in millimeters per day, when the plant was 11 meters tall?

9. The rates to book a private tour with a company are shown below.

Private Tour Rates

(maximum of 24 participants)

Price of tour ($)Number of participants
50up to 2
100more than 2 and no more than 4
150more than 4 and no more than 6
200more than 6 and no more than 12
225more than 12 and no more than 18
250more than 18 and no more than 24

Which graph best represents the relationship between the number of participants and the total charge of the tour, in dollars?

10. A bakery’s specialty flour is a mixture of almond and coconut flour. The ratio of almond flour to coconut flour is 7:38 by volume. If a bakery uses 180 cups of the flour mixture in a day, what is the volume, in cups, of the almond flour used?

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