CHSPE Mathematics 4 — Questions and Answers
Question 1: Which expression represents the area of a circle with diameter d?
- πd²
- πd²/4 (Correct answer)
- 2πd
- πd/2
Correct answer: πd²/4
Radius = d/2, so Area = π(d/2)² = πd²/4.
Question 2: What is the value of x if 5(x − 2) = 3(x + 4)?
- x = 7
- x = 10
- x = 11 (Correct answer)
- x = 13
Correct answer: x = 11
5x − 10 = 3x + 12 → 2x = 22 → x = 11.
Question 3: A cylinder has a radius of 5 cm and a height of 10 cm. What is its volume? (Use π ≈ 3.14)
- 157 cm³
- 314 cm³
- 785 cm³ (Correct answer)
- 1,570 cm³
Correct answer: 785 cm³
V = πr²h = 3.14 × 25 × 10 = 785 cm³.
Question 4: On a number line, which value is closest to √50?
- 6
- 7 (Correct answer)
- 8
- 9
Correct answer: 7
√49 = 7 and √64 = 8, so √50 is just slightly above 7.
Question 5: A recipe calls for 2½ cups of flour to make 24 cookies. How many cups are needed for 60 cookies?
- 5 cups
- 5½ cups
- 6 cups
- 6¼ cups (Correct answer)
Correct answer: 6¼ cups
60 ÷ 24 = 2.5, so 2.5 × 2.5 = 6.25 = 6¼ cups.
Question 6: What is the value of −3² − (−4)²?
- −25 (Correct answer)
- −7
- 7
- 25
Correct answer: −25
−3² = −9 and −(−4)² = −16; −9 + (−16) = −25.
Question 7: The equation y = −2x + 6 crosses the y-axis at which point?
- (−2, 0)
- (0, −2)
- (0, 6) (Correct answer)
- (3, 0)
Correct answer: (0, 6)
The y-intercept occurs at x = 0; y = −2(0) + 6 = 6, so the point is (0, 6).
CHSPE Mathematics 4
Which expression represents the area of a circle with diameter d?