ILEARN Mathematics Standards 3 — Questions and Answers
Question 1: A train travels 240 miles in 4 hours. What is the train's average speed in miles per hour?
- 40 mph
- 60 mph (Correct answer)
- 80 mph
- 960 mph
Correct answer: 60 mph
Average speed = distance ÷ time = 240 ÷ 4 = 60 mph.
Question 2: What is the least common multiple (LCM) of 6 and 8?
- 2
- 14
- 24 (Correct answer)
- 48
Correct answer: 24
Multiples of 6: 6, 12, 18, 24…; multiples of 8: 8, 16, 24…; the LCM is 24.
Question 3: On a coordinate plane, which quadrant contains the point (−4, 3)?
- Quadrant I
- Quadrant II (Correct answer)
- Quadrant III
- Quadrant IV
Correct answer: Quadrant II
A negative x-value and positive y-value place the point in Quadrant II.
Question 4: What is 15% of 200?
- 15
- 20
- 30 (Correct answer)
- 35
Correct answer: 30
15% of 200 = 0.15 × 200 = 30.
Question 5: Which of the following is a prime number?
- 21
- 27
- 37 (Correct answer)
- 49
Correct answer: 37
37 is divisible only by 1 and 37, making it a prime number.
Question 6: A triangle has angles measuring 45° and 65°. What is the measure of the third angle?
- 60°
- 70° (Correct answer)
- 80°
- 90°
Correct answer: 70°
The sum of angles in a triangle is 180°; 180 − 45 − 65 = 70°.
Question 7: Which inequality is represented by the statement 'a number y is at least 12'?
- y < 12
- y > 12
- y ≤ 12
- y ≥ 12 (Correct answer)
Correct answer: y ≥ 12
'At least 12' means y can equal 12 or be greater, so y ≥ 12.
ILEARN Mathematics Standards 3
A train travels 240 miles in 4 hours.
What is the train's average speed in miles per hour?