PSAT Math Multiple-Choice Practice Test 50: Problem Solving and Data Analysis Drill

1. For every 8 units of x, there are consistently 12 units of y. If the relationship between x and y is given as an equation of the form y = kx , where k is a constant, what is the value of k ?

A.

B.

C.

2. In a science class, for every two people who are failing, there are three people who have C's and D's. For every one person who has C's and D's, there are two people who have A's and B's. What is the ratio of those who are failing the class to those who have A's and B's?

3. A restaurant charges a $5 standard delivery fee plus a 15% tip on the amount of the bill before the delivery fee. Which of these expressions would model the total cost to have x dollars worth of food delivered?

Questions 4-5 refer to the following information.

4. Which of the following best describes the general relationship between years and average football ticket price?

5. Assuming that the trend represented in the graph continues over the next decade (which is not portrayed in the graph), the average price of a football ticket in the year 2014 would most likely be:

6. Which of these statements accurately represents the data in the table below?

7. Which of the following is a logical conclusion about the data about Sam's age and height percentile?

I. Sam's height grew exponentially quickly between ages 12 and 18.

II. Sam's height relative to that of other men was lower when he was less than 5 years old than when he was between 10 and 15 years old.

III. Sam continued to experience changes in his height between the ages of 18 and 22.

8. An amusement park researcher compiles data about the average height of ten-year-old children in a certain town to determine whether this age group will meet the minimum height requirements for a new attraction. The researcher selects 100 ten-year-old children at random from the town and finds that the average height has a 95% confidence interval between 42 and 48 inches. Which of the following conclusions could the researcher most reasonably make?

9. If a store has a sale in which all prices are discounted by two-thirds and also distributes coupons that take an additional 20 percent off the price, what is the fraction of the original price that a customer using a coupon would pay during the store's sale?

A.

B.

C.

D.

10. A pollster wishes to project the winner for an upcoming election in her small city. Which of the following approaches to selecting a sample size would give the most accurate polling results?