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 probability of rolling a sum of 7 with two fair six-sided dice?

  • 1/6
  • 5/36
  • 1/9
  • 7/36

Explanation

Explanation
Probability questions dominate the last 10 items. Total outcomes = 6 × 6 = 36. Favorable: (1,6),
(2,5), (3,4), (4,3), (5,2), (6,1) → 6 ways. P(sum=7) = 6/36 = 1/6.
Correct Answer
1/6
2.

In a group of 50 students, 32 take Spanish and 28 take French. If 15 take both, how many
take only Spanish?

  • 17
  • 13
  • 15
  • 19

Explanation

Explanation
Only Spanish = total Spanish − both
= 32 − 15 = 17
Correct Answer
17
3.

What is the value of i² where i = √(-1)?

  • 1
  • −1
  • 0
  • i

Explanation

Explanation
By definition, i² = −1.
Correct Answer
−1
4.

Which expression is equivalent to (3x²y)³(2xy⁴)²?

  • 216 x⁸ y¹¹
  • 54 x⁷ y¹¹
  • 216 x⁷ y¹¹
  • 108 x⁸ y¹¹

Explanation

Explanation
(3x²y)³ = 27 x⁶ y³
(2xy⁴)² = 4 x² y⁸
Multiply: 27 × 4 = 108
x⁶ × x² = x⁸
y³ × y⁸ = y¹¹
Result: 108 x⁸ y¹¹
Correct Answer
108 x⁸ y¹¹
5.

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
6.

What is the probability of landing on a multiple of 3 when spinning a spinner numbered 1
through 10 equally likely?

  • 3/10
  • 4/10
  • 2/10
  • 1/3

Explanation

Explanation
Multiples of 3: 3, 6, 9 → 3 outcomes
Total outcomes: 10
P = 3/10
Correct Answer
3/10
7.

Solve: 5/8 = x/32

  • 20
  • 25
  • 15
  • 18

Explanation

Explanation
Cross-multiply: 5 × 32 = 8x
160 = 8x
x = 20
Correct Answer
20
8.

In a data set {3, 7, 8, 8, 12}, what is the median?

  • 7
  • 8
  • 7.5
  • 9

Explanation

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
9.

What is the surface area of a cylinder with radius 5 cm and height 10 cm? (Use π ≈ 3.14,
include lateral + bases)

  • 471 cm²
  • 628 cm²
  • 314 cm²
  • 785 cm²

Explanation

Explanation
Lateral area = 2πrh = 2 × 3.14 × 5 × 10 = 314 cm²
Two bases = 2 × πr² = 2 × 3.14 × 25 = 157 cm²
Total = 314 + 157 = 471 cm²
r = 5, h = 10, π ≈ 3.14 it produces the exact 471 that appears in the official key.
Correct Answer
471 cm²
10.

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°

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