M-STEP Mathematics Concepts & Problem Solving 3 — Questions and Answers
Question 1: Which of the following is a rational number?
- √9 (Correct answer)
- √2
- π
- √7
Correct answer: √9
√9 = 3, which is a whole number and therefore rational; the others are irrational.
Question 2: Solve for y: 4y − 7 = 21
- 7 (Correct answer)
- 3.5
- 14
- 5
Correct answer: 7
Add 7 to both sides: 4y = 28, then divide by 4: y = 7.
Question 3: A triangle has angles measuring 45° and 65°. What is the measure of the third angle?
- 70° (Correct answer)
- 80°
- 90°
- 60°
Correct answer: 70°
The angles of a triangle sum to 180°, so 180 − 45 − 65 = 70°.
Question 4: Which number is NOT a factor of 72?
- 16 (Correct answer)
- 12
- 9
- 8
Correct answer: 16
72 ÷ 16 = 4.5, which is not a whole number, so 16 is not a factor of 72.
Question 5: A scale drawing uses 1 inch to represent 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance?
- 175 miles (Correct answer)
- 150 miles
- 200 miles
- 125 miles
Correct answer: 175 miles
3.5 × 50 = 175 miles.
Question 6: The price of a jacket is $80. It goes on sale for 25% off. What is the sale price?
- $60 (Correct answer)
- $55
- $65
- $70
Correct answer: $60
25% of $80 is $20, so the sale price is $80 − $20 = $60.
Question 7: Which pair of angles are supplementary?
- 115° and 65° (Correct answer)
- 45° and 45°
- 60° and 40°
- 90° and 10°
Correct answer: 115° and 65°
Supplementary angles sum to 180°, and 115 + 65 = 180.
M-STEP Mathematics Concepts & Problem Solving 3
Which of the following is a rational number?