THEA THEA Math 4 — Questions and Answers
Question 1: The ratio of boys to girls in a class is 3:4. If there are 28 girls, how many boys are there?
- 18
- 21 (Correct answer)
- 24
- 28
Correct answer: 21
If 4 parts = 28 girls, then 1 part = 7, so 3 parts (boys) = 21.
Question 2: Simplify the expression: (3x³y²)(2x²y⁴)
- 5x⁵y⁶
- 6x⁶y⁸
- 6x⁵y⁶ (Correct answer)
- 5x⁶y⁸
Correct answer: 6x⁵y⁶
Multiply coefficients (3×2=6) and add exponents: x^(3+2) = x⁵, y^(2+4) = y⁶.
Question 3: A data set has the values: 4, 7, 7, 9, 11, 13. What is the median?
- 7
- 8 (Correct answer)
- 9
- 8.5
Correct answer: 8
With 6 values, the median is the average of the 3rd and 4th: (7 + 9)/2 = 8.
Question 4: Which of the following is a solution to the equation x² – 5x + 6 = 0?
- x = 1
- x = 2 (Correct answer)
- x = 4
- x = 6
Correct answer: x = 2
Factor as (x – 2)(x – 3) = 0, giving solutions x = 2 and x = 3.
Question 5: If a pair of parallel lines is cut by a transversal, alternate interior angles are:
- supplementary
- complementary
- congruent (Correct answer)
- adjacent
Correct answer: congruent
Alternate interior angles formed by parallel lines cut by a transversal are always congruent (equal).
Question 6: Convert 0.045 to a percent.
- 0.045%
- 0.45%
- 4.5% (Correct answer)
- 45%
Correct answer: 4.5%
Multiply by 100 to convert decimal to percent: 0.045 × 100 = 4.5%.
Question 7: A bag contains 5 red, 3 blue, and 2 green marbles. What is the probability of drawing a blue marble?
- 1/5
- 3/10 (Correct answer)
- 1/3
- 3/7
Correct answer: 3/10
P(blue) = 3 blue ÷ 10 total = 3/10.
THEA THEA Math 4
The ratio of boys to girls in a class is 3:4.
If there are 28 girls, how many boys are there?