AST Mathematics 1 — Questions and Answers
Question 1: What is the value of x in the equation 3x + 12 = 33?
- 7 (Correct answer)
- 8
- 9
- 11
Correct answer: 7
Subtracting 12 from both sides gives 3x = 21, so x = 7.
Question 2: A rectangle has a length of 14 cm and a width of 6 cm. What is its area?
- 84 cm² (Correct answer)
- 40 cm²
- 96 cm²
- 72 cm²
Correct answer: 84 cm²
Area of a rectangle = length × width = 14 × 6 = 84 cm².
Question 3: Which of the following is equivalent to 2/5 as a percentage?
- 40% (Correct answer)
- 25%
- 45%
- 20%
Correct answer: 40%
2 ÷ 5 = 0.40, which equals 40%.
Question 4: If f(x) = 2x² - 3, what is f(4)?
- 29 (Correct answer)
- 13
- 32
- 25
Correct answer: 29
f(4) = 2(4²) - 3 = 2(16) - 3 = 32 - 3 = 29.
Question 5: What is the slope of the line passing through points (2, 3) and (6, 11)?
- 2 (Correct answer)
- 3
- 1/2
- 4
Correct answer: 2
Slope = (11 - 3) / (6 - 2) = 8 / 4 = 2.
Question 6: A store sells a jacket originally priced at $120 at a 25% discount. What is the sale price?
- $90 (Correct answer)
- $95
- $85
- $100
Correct answer: $90
25% of $120 = $30, so the sale price is $120 - $30 = $90.
What is the value of x in the equation 3x + 12 = 33?