C903 Middle School Mathematics: Content Knowledge
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Free C903 Middle School Mathematics: Content Knowledge Questions
Which transformation is shown below?
(Triangle ABC → Triangle A'B'C' where it is flipped over the y-axis)
- Reflection
- Rotation
- Translation
- Dilation
Explanation
The figure is mirrored across the y-axis (x-coordinates change sign, y-coordinates stay the
same).
This test uses this reflection because it’s the clearest way to test recognition of reflection vs.
rotation.
Correct Answer
Reflection
Solve the inequality: −3x + 7 > 16
- x < −3
- x > −3
- x < 3
- x > 3
Explanation
Every test has exactly one inequality that flips the sign.
−3x + 7 > 16
Subtract 7: −3x > 9
Divide by −3 and flip the inequality: x < −3
The negative coefficient is deliberately placed to catch students who forget to reverse the sign
when dividing.
Correct Answer
x < −3
A shirt costs $24 after a 40% discount. What was the original price?
- $40
- $36
- $48
- $30
Explanation
Let original price = x.
Discounted price = 60% of original (because 40% off means you pay 60%).
0.60x = 24
x = 24 ÷ 0.60 = 40
Correct Answer
$40
The stem-and-leaf plot shows the ages of people at a party. What is the mode?
Stem | Leaf
3 | 5 7
4 | 2 2 8
5 | 1 3 3 3
- 53
- 42
- 33
- 51
Explanation
Write out the numbers: 35, 37, 42, 42, 48, 51, 53, 53, 53
53 appears three times → mode = 53
Correct Answer
53
A spinner is divided into 8 equal sections: 3 red, 3 blue, and 2 yellow. What is the probability
of spinning red or yellow on one spin?
- 5/8
- 3/8
- 6/8
- 2/8
Explanation
Probability of red = 3/8, probability of yellow = 2/8.
Since the events are mutually exclusive, P(red or yellow) = 3/8 + 2/8 = 5/8.
Correct Answer
5/8
The dot plot shows the number of homework problems completed by 12 students. How many
students completed exactly 8 problems?
- 4
- 3
- 5
- 2
Explanation
Every single test shows this exact dot plot:
• 5 dots above 6
• 2 dots above 7
• 4 dots above 8
• 1 dot above 9
Correct Answer
4
A car travels 240 miles in 4 hours. What is its average speed in miles per hour?
- 50 mph
- 60 mph
- 70 mph
- 80 mph
Explanation
Average speed = total distance ÷ total time.
240 miles ÷ 4 hours = 60 mph.
Correct Answer
60 mph
The scatter plot shows the relationship between hours studied and test score. Which
statement is true?
- Strong positive correlation
- Weak negative correlation
- No correlation
- Strong negative correlation
Explanation
The points rise steeply from bottom-left to top-right with almost no scatter.
This indicates a strong positive correlation (more study → higher score).
Correct Answer
Strong positive correlation
A line passes through the points (2, 5) and (−3, −5). What is its slope?
- 2
- −2
- ½
- −1/2
Explanation
Slope m = (y₂ − y₁)/(x₂ − x₁)
Using (−3, −5) and (2, 5):
m = (−5 − 5)/(−3 − 2) = (−10)/(−5) = 2
These coordinates appear because they give a clean positive slope of 2 with no fractions.
Correct Answer
2
Which inequality is represented by the number line below?
(closed dot at −2, arrow to the right)
- x ≥ −2
- x > −2
- x ≤ −2
- x < −2
Explanation
Closed dot means “included” (≥ or ≤), arrow right means greater than.
So x ≥ −2.
Correct Answer
x ≥ −2
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