Free MSAP Reasoning in the Sciences and Mathematics Questions and Answers

Question 1

In the grid below, the letters represent different whole numbers of less than 20. The numbers to the right and below the grid are row and column totals.  The value of Q is:

Accepted Answer

9

Answer

7

Answer

11

Answer

13

Question 2

Which one of the schedules meets the requirements of the Firefighters’ Union?

Accepted Answer

II

Answer

I

Answer

III

Answer

IV

Question 3

A schedule can be thought of as a set of v objects (in this case, firefighters) that have to be arranged into b sets (in this case, one set for each day of the week) all of size k and such that each object occurs the same number of times (r) in the schedule and only once in any set. For the firefighters’ schedules, v = 7, b = 7, k = 3, and r = 3.

If v = 3, b = 6, k = 1, r = 2, which one of the following completes the schedule {1}, {2}, {3}, {1}, {2}, . . .?

Accepted Answer

{3}

Answer

{1}

Answer

{2}

Answer

Neither {1}, nor {2} nor {3}

Question 4

The schedule {1,2}, {2,3}, {x,y} is a schedule for which v = 3, b = 3, k = 2, r = 2, if:

Accepted Answer

x = 1, y = 3

Answer

x = 1, y = 2

Answer

x = 2, y = 2

Answer

x = 2, y = 3

Question 5

In a class of 25 students, 16 students are proficient in mathematics and 18 students are proficient in science. How many students are proficient in both mathematics and science?

Accepted Answer

9

Answer

7

Answer

11

Answer

13

Question 6

If a car travels 200 kilometers in 4 hours, what is its average speed in kilometers per hour?

Accepted Answer

50

Answer

25

Answer

75

Answer

100

Question 7

What is the square root of 144?

Accepted Answer

12

Answer

10

Answer

14

Answer

16

Question 8

In a scientific experiment, what does the control group allow researchers to do?

Accepted Answer

Provide a standard for comparison with the experimental group.

Answer

Test the experimental variable in isolation.

Answer

Compare the results of the experiment with real-world scenarios.

Answer

Ensure that the experiment is conducted ethically.

Question 9

Which of the following is an example of qualitative data?

Accepted Answer

Color descriptions

Answer

Temperature readings

Answer

Height measurements

Answer

Time elapsed

Question 10

What is the purpose of statistical analysis in social sciences research?

Accepted Answer

To identify patterns and relationships

Answer

To prove a hypothesis

Answer

To summarize data

Answer

To conduct surveys