C903 Middle School Mathematics: Content Knowledge

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Access and unlock Multiple Practice Question for C903 Middle School Mathematics: Content Knowledge to help you Pass at ease.

Free C903 Middle School Mathematics: Content Knowledge Questions

1.

What is the value of tan 45°?

  • 1
  • 0
  • √3
  • Undefined

Explanation

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
2.

A rectangle has area 48 cm² and length 12 cm. What is its width?

  • 4 cm
  • 6 cm
  • 8 cm
  • 10 cm

Explanation

Explanation
Width = area ÷ length = 48 ÷ 12 = 4 cm
Correct Answer
4 cm
3.

What is the measure of an interior angle of a regular pentagon?

  • 108°
  • 120°
  • 90°
  • 72°

Explanation

Explanation
Formula for interior angle of regular polygon: ((n−2)×180°)/n
For pentagon n = 5:
((5−2)×180°)/5 = (3×180°)/5 = 540°/5 = 108°
Correct Answer
108°
4.

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

Explanation
Write out the numbers: 35, 37, 42, 42, 48, 51, 53, 53, 53
53 appears three times → mode = 53
Correct Answer
53
5.

A bag contains only red and blue marbles. If the probability of drawing a red marble is 0.35,
what is the probability of drawing a blue marble?

  • 0.65
  • 0.35
  • 0.70
  • 1.35

Explanation

Explanation
Total probability = 1.
P(blue) = 1 − 0.35 = 0.65
Correct Answer
0.65
6.

The length of a rectangle is 3 times its width. If the perimeter is 48 cm, what is the area of
the rectangle?

  • 108 cm²
  • 144 cm²
  • 36 cm²
  • 192 cm²

Explanation

Explanation
Let width = w. Then length = 3w.
Perimeter = 2(length + width) = 2(3w + w) = 2(4w) = 8w = 48
w = 48 ÷ 8 = 6 cm
Length = 3 × 6 = 18 cm
Area = length × width = 18 × 6 = 108 cm²
Correct Answer
108 cm²
7.

A school has 240 students. If 60% are girls and 25% of the girls play basketball, how many
girls play basketball?

  • 36
  • 42
  • 48
  • 60

Explanation

Explanation
Girls = 60% of 240 = 0.6 × 240 = 144
Girls who play basketball = 25% of 144 = 0.25 × 144 = 36
The numbers are engineered to give a perfect 36 every time while testing two successive
percentage calculations.
Correct Answer
36
8.

Which of the following shows the correct order of operations for 12 ÷ 4 × 3 + 2?

  • (12 ÷ 4) × 3 + 2 = 11
  • 12 ÷ (4 × 3) + 2 = 3
  • 12 ÷ 4 × (3 + 2) = 15
  • 12 ÷ 4 × 3 + 2 = 11

Explanation

Explanation
PEMDAS: Division and multiplication left to right.
12 ÷ 4 = 3
3 × 3 = 9
9 + 2 = 11
Correct Answer
12 ÷ 4 × 3 + 2 = 11
9.

What is the value of log₂ 32?

  • 5
  • 6
  • 4
  • 8

Explanation

Explanation
2⁵ = 32, so log₂ 32 = 5.
Correct Answer
5
10.

What is the area of the shaded region if a square with side 10 cm has a circle of radius 5 cm
inscribed in it?

  • 100 − 25π cm²
  • 100 − 100π cm²
  • 25π cm²
  • 100π cm²

Explanation

Explanation
Area of square = 10 × 10 = 100 cm²
Area of inscribed circle = πr² = π × 5² = 25π cm²
Shaded = square − circle = 100 − 25π cm²
Correct Answer
100 − 25π cm²

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