IMAT Mathematics and Statistics 1 — Questions and Answers
Question 1: If f(x) = 2x² - 3x + 1, what is f(2)?
Correct answer: 3
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?
- 540°
- 720° (Correct answer)
- 900°
- 360°
Correct answer: 720°
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)?
Correct answer: 5
2⁵ = 32, so log₂(32) = 5.
Question 4: Solve for x: 3x − 7 = 14
- x = 3
- x = 7 (Correct answer)
- x = 21
- x = 4
Correct answer: x = 7
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?
Correct answer: 8
With 6 values, the median is the average of the 3rd and 4th values: (7+9)/2 = 8.
Question 6: What is sin(30°)?
- √3/2
- 1/√2
- 1/2 (Correct answer)
- √3/3
Correct answer: 1/2
sin(30°) = 1/2 is a standard trigonometric value.
Question 7: What is the area of a circle with radius 5?
- 10π
- 25π (Correct answer)
- 20π
- 5π
Correct answer: 25π
Area = πr² = π × 5² = 25π.
