PSAT Math Practice Test 2024 Sample Questions Answers

Last Updated on November 23, 2024

PSAT Math Practice Test 2024: If you’re preparing for the New PSAT/NMSQT and PSAT 10 Exam, then this PSAT Math Practice Test will help you to prepare better. You can also download a printable PDF for the Preliminary SAT/National Merit Scholarship Qualifying Test preparation.

PSAT Math Practice Test

In this section, solve each problem, using any available space on the page for scratchwork. Then decide which is the best of the choices given and fill in the corresponding oval on the answer sheet.

You may use a calculator on any problem. All numbers used are real numbers.
Figures are drawn as accurately as possible EXCEPT when it is stated that the figure is not drawn to scale.
All figures lie in a plane unless otherwise indicated.

PSAT Math Practice Test

PSAT Math Practice Test
Total Items 25
Time Limit: N/A

1 / 25

At his office, Adam did a survey on what his employees wanted for lunch, sandwiches or pizza. Adam received 34 more votes for pizza than sandwiches. If Adam received a total of 76 votes, how many votes did he receive for sandwiches?

21 votes

40 votes

42 votes

84 votes

110 votes

2 / 25

At a school supplies store, the price of a blackboard is reduced from $70.00 to $56.00. By what percent is the price of the blackboard decreased?

10%

14%

20%

56%

86%

3 / 25

Use the chart and information given below to answer the question that follows.

InterTech Employee Roster

As an employee is preparing the employment roster above, she notices that her own department, Human Resources, has not been included in the report. She also knows that there are a total of 282 employees in these four departments.

Based on the chart above and the given information, what is the accurate number of Human Resources employees at InterTech?

282

4 / 25

Monica drives to several different students’ homes every day for tutoring. During the first full week in September, her daily mileage ranges from a low of 36 miles to a high of 102 miles

From the preceding information, which of the following must be true regarding Monica’s average daily mileage for the week?

Her average for all 7 days is between 36 and 102 miles.

Her average for all 7 days is 69 miles.

Her average for all 7 days is greater than 69 miles.

Her average for all 7 days is lower than 69 miles.

Her average for all 7 days is any number between 0 and 100 miles.

5 / 25

What is the best estimate of 50 + 49 + 48 + 47 + 46 + 45 + 44 + 43 + 42 + 41 + 40?

6 / 25

Frank is going to buy turkey sandwiches for his employees. A sandwich costs $3.25, and each topping or condiment costs an extra $.25. Each order of cheese costs an extra $.50. Here is the list of what Frank will buy:

2 sandwiches without cheese, with 2 condiments each
2 sandwiches with cheese, with 1 condiment each

Assuming no tax, what is the total cost of the sandwiches?

$14.75

$15.00

$15.50

$16.00

$16.50

7 / 25

n his sociology class, Adam took three tests. He scored a 78 on his first test, and a 90 on his second test. If Adam had an average of 81 in his class, what did Adam score on his third test?

8 / 25

What number could be added to the following set of data so that the median and mode of the set are equal?

42, 36, 59, 23, 61, 30, 75

9 / 25

Nancy and May played volleyball for 63 hours in June, and for 89 hours in July. How many more hours did they play in July than in June?

6 hours

16 hours

26 hours

63 hours

89 hours

10 / 25

1. What is the difference between 2.5 and .167?

.83

2.333

2.667

4.17

11 / 25

In how many ways can the five shapes above be arranged in a line if the triangle must be in the middle?

120

12 / 25

In the figure above, points D and E are the midpoints of two legs of right triangle ABC. If AB = 10 and DC = 3, what is the area of the shaded region?

13 / 25

If m = 4n+5 and p = 3n + 6, which of the following expresses n in terms of m and p?

m + 2p - 3

m - p + 1

3m - 2p + 4

4m - p + 1

2m - 5p

14 / 25

If x² - 5x - 6= 0 and x² - 2x - 3 = 0, what is the value of x?

-3

-1

15 / 25

Which of the following CANNOT be the sum of three different prime numbers?

16 / 25

In ΔXYZ above, what is the value of y?

17 / 25

In 2004, how many more cars were sold at Crazy Todd’s Car Asylum than at King Paul’s Auto Palace?

18 / 25

If six apples are needed to make an apple pie, how many dozen apples would be needed to make six pies? (1 dozen = 12 apples)

19 / 25

If 5x = 10 and 3y = 9, what is the value of x + y?

20 / 25

In the figure above, what is the value of z in terms of x and y?

90 + x + y

180 - x - y

x - y

90 - xy

x + y

21 / 25

In the figure above, B is the center of the circle, and points A, C, and D all lie on the circle. What is the perimeter of quadrilateral ABCD?

16 + 6√2

16 + 12√2

22 + 6√2

22 + 12√2

28 + 6√2

22 / 25

Point Z is at the tip of the minute hand of a classroom clock, while point W is at the tip of the hour hand. The minute hand of the clock, which is 4 inches long, is twice as long as the hour hand. During the three hours from noon until 3 p.m., how much further does point Z travel than does point W?

4π

15π

23π

24π

23 / 25

At the beginning of the month of January, a stock is worth d dollars per share. The value of the stock increases 5 percent per month for each of the first two months and 25 percent for the third month. During the fourth month, the value, per share, decreases by 20 percent. In terms of d, what is the value of the stock, per share, at the end of the fourth month?

0.98725d

0.99225d

1.1025d

1.135d

1.15d

24 / 25

In the figure above, four line segments meet at a point to form four angles. If y = 2x, what is the value of x?