MAP Mathematics 4 — Questions and Answers
Question 1: What is the slope of the line through (2, 3) and (6, 11)?
- 1/2
- 2 (Correct answer)
- 4
- 8
Correct answer: 2
Slope = (11 − 3) ÷ (6 − 2) = 8 ÷ 4 = 2.
Question 2: A right triangle has legs of 6 and 8. What is the length of the hypotenuse?
- 14
- 48
- 10 (Correct answer)
- 100
Correct answer: 10
6² + 8² = 36 + 64 = 100, and √100 = 10.
Question 3: Which expression is equivalent to 2³ · 2⁴?
- 2¹²
- 4⁷
- 4¹²
- 2⁷ (Correct answer)
Correct answer: 2⁷
When you multiply powers with the same base, you add the exponents: 3 + 4 = 7.
Question 4: Which set of ordered pairs represents a function?
- {(1,2), (1,5), (3,4)}
- {(2,3), (4,5), (6,7)} (Correct answer)
- {(0,1), (0,2), (1,3)}
- {(5,1), (6,2), (5,3)}
Correct answer: {(2,3), (4,5), (6,7)}
Each input in {(2,3), (4,5), (6,7)} has exactly one output.
Question 5: What is 0.00052 written in scientific notation?
- 5.2 × 10⁴
- 52 × 10⁻⁵
- 5.2 × 10⁻³
- 5.2 × 10⁻⁴ (Correct answer)
Correct answer: 5.2 × 10⁻⁴
Moving the decimal 4 places right gives 5.2, so the exponent is −4.
Question 6: What is the volume of a cylinder with radius 3 and height 10?
- 90π (Correct answer)
- 30π
- 60π
- 300π
Correct answer: 90π
V = πr²h = π × 9 × 10 = 90π.
Question 7: Solve the system: y = 2x + 1 and y = x + 4
- (1, 3)
- (7, 3)
- (3, 7) (Correct answer)
- (5, 9)
Correct answer: (3, 7)
Setting 2x + 1 = x + 4 gives x = 3, so y = 3 + 4 = 7.
MAP Mathematics 4
What is the slope of the line through (2, 3) and (6, 11)?