C903 Middle School Mathematics: Content Knowledge
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Free C903 Middle School Mathematics: Content Knowledge Questions
A triangular prism has two triangular bases with area 24 cm² each and height 10 cm. What
is the total volume?
-
240 cm³
-
480 cm³
-
720 cm³
-
120 cm³
Explanation
Volume of prism = base area × height
= 24 cm² × 10 cm = 240 cm³
Correct Answer
240 cm³
What is the value of cos 60°?
-
½
-
√3/2
-
0
-
1
Explanation
In a 30-60-90 triangle, the side adjacent to 60° is √3 times the shortest side, and hypotenuse is
2 times the shortest side. Thus cos 60° = adjacent/hypotenuse = √3/2. Every single test asks for
cos 60° right after sin 30° to reinforce the same triangle ratios.
Correct Answer
√3/2
What is the surface area of a rectangular prism with dimensions 4 cm × 5 cm × 6 cm?
-
148 cm²
-
120 cm²
-
94 cm²
-
72 cm²
Explanation
Surface area of a rectangular prism is 2(lw + lh + wh). Plug in the numbers:
2(4×5 + 4×6 + 5×6) = 2(20 + 24 + 30) = 2(74) = 148 cm².
Correct Answer
148 cm²
What is the value of tan 45°?
-
1
-
0
-
√3
-
Undefined
Explanation
In a 45-45-90 triangle, opposite = adjacent, so tan 45° = opposite/adjacent = 1.
This test asks for tan 45° right after sin/cos 30-60 to complete the three basic angles. This is the
only angle where tangent equals 1.
Correct Answer
1
The stem-and-leaf plot shows test scores:
Stem | Leaves
7 | 8 9
8 | 2 5 5 7
9 | 0 1 3 3 3
What is the median score?
-
85
-
85.5
-
86
-
87
Explanation
11 scores total → median is the 6th score when ordered.
Ordered: 78, 79, 82, 85, 85, 87, 90, 91, 93, 93, 93
6th score = 87
Correct Answer
87
What is the area of a regular hexagon with side length 6 cm?
-
54√3 cm²
-
36√3 cm²
-
72√3 cm²
-
108√3 cm²
Explanation
A regular hexagon = 6 equilateral triangles.
Area of one triangle = (6² × √3)/4 = 9√3
Total = 6 × 9√3 = 54√3 cm²
Correct Answer
54√3 cm²
What is 0.000000723 written in scientific notation?
-
7.23 × 10⁻⁷
-
7.23 × 10⁷
-
7.23 × 10⁻⁶
-
72.3 × 10⁻⁸
Explanation
Move decimal 7 places to the right to get 7.23 → 7.23 × 10⁻⁷
Correct Answer
7.23 × 10⁻⁷
What is the volume of a rectangular prism that is 6 cm long, 4 cm wide, and 9 cm high?
-
216 cm³
-
108 cm³
-
150 cm³
-
240 cm³
Explanation
Volume = l × w × h = 6 × 4 × 9 = 216 cm³
Correct Answer
216 cm³
A store offers a 15% discount followed by a 10% discount on the reduced price. If the
original price is $200, what is the final price?
-
$150
-
$153
-
$153.50
-
$147.50
Explanation
First discount: 15% off → pay 85% → 0.85 × 200 = \(170 Second discount: 10% off\)170 → pay 90% → 0.90 × 170 = \(153 Overall discount = 0.85 × 0.90 = 0.765 → 76.5% of original →\)153
Correct Answer
$153
In a data set {3, 7, 8, 8, 12}, what is the median?
-
7
-
8
-
7.5
-
9
Explanation
Statistics & Probability (25%) starts with measures of center. With 5 numbers, the median is the
third when ordered: 3, 7, 8, 8, 12 → median = 8.
Correct Answer
8
How to Order
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