IAR Math Concepts and Reasoning 3 — Questions and Answers
Question 1: A store offers a 20% discount on a $50 jacket. What is the sale price?
- $40 (Correct answer)
- $30
- $45
- $10
Correct answer: $40
20% of $50 is $10, so the sale price is $50 − $10 = $40.
Question 2: Which of the following is a prime number?
- 29 (Correct answer)
- 27
- 33
- 21
Correct answer: 29
29 has no factors other than 1 and itself, making it prime.
Question 3: Solve for x: 2x − 5 = 11.
- 8 (Correct answer)
- 3
- 16
- 6
Correct answer: 8
Add 5 to both sides to get 2x = 16, then divide by 2 to get x = 8.
Question 4: What is the mean of the data set 4, 8, 6, 10, 12?
- 8 (Correct answer)
- 6
- 10
- 40
Correct answer: 8
The sum is 40 and there are 5 values, so 40 ÷ 5 = 8.
Question 5: A triangle has angles of 50° and 60°. What is the measure of the third angle?
- 70° (Correct answer)
- 80°
- 110°
- 90°
Correct answer: 70°
The angles of a triangle sum to 180°, so 180 − 50 − 60 = 70°.
Question 6: Which value of x makes the inequality x + 4 > 9 true?
- 6 (Correct answer)
- 5
- 4
- 3
Correct answer: 6
x must be greater than 5, and 6 is the only choice that satisfies this.
Question 7: What is the volume of a cube with edge length 3 inches?
- 27 cubic inches (Correct answer)
- 9 cubic inches
- 18 cubic inches
- 12 cubic inches
Correct answer: 27 cubic inches
Volume of a cube is edge cubed, so 3 × 3 × 3 = 27 cubic inches.
IAR Math Concepts and Reasoning 3
A store offers a 20% discount on a $50 jacket.
What is the sale price?