IMAT Mathematics and Statistics

Question 1

If f(x) = 2x² - 3x + 1, what is f(2)?

Accepted Answer

3

Answer

f(2) = 2(4) - 3(2) + 1 = 8 - 6 + 1 = 3.

Question 2

What is the sum of the interior angles of a regular hexagon?

Accepted Answer

720°

Answer

The sum of interior angles of an n-sided polygon is (n−2)×180°; for a hexagon (n=6): 4×180° = 720°.

Question 3

What is log₂(32)?

Accepted Answer

5

Answer

2⁵ = 32, so log₂(32) = 5.

Question 4

Solve for x: 3x − 7 = 14

Accepted Answer

x = 7

Answer

Adding 7 to both sides gives 3x = 21, so x = 7.

Question 5

A dataset has the values 4, 7, 7, 9, 10, 12. What is the median?

Accepted Answer

8

Answer

With 6 values, the median is the average of the 3rd and 4th values: (7+9)/2 = 8.

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