TCAP Mathematics 3 — Questions and Answers
Question 1: What is 15% of 240?
- 24
- 36 (Correct answer)
- 30
- 45
Correct answer: 36
15% of 240 = 0.15 × 240 = 36.
Question 2: A bag contains 4 red, 3 blue, and 5 green marbles. If one marble is picked at random, what is the probability of picking a blue marble?
- 1/4
- 1/3
- 3/12 (Correct answer)
- 3/7
Correct answer: 3/12
Total marbles = 4 + 3 + 5 = 12; P(blue) = 3/12 = 1/4.
Question 3: Which expression represents 'six less than twice a number n'?
- 6 – 2n
- 2n – 6 (Correct answer)
- 2(n – 6)
- 6n – 2
Correct answer: 2n – 6
'Twice a number n' is 2n, and 'six less than' means subtract 6, giving 2n – 6.
Question 4: On a coordinate plane, point A is at (2, 5) and point B is at (2, -3). What is the distance between A and B?
- 2
- 5
- 8 (Correct answer)
- 10
Correct answer: 8
Since the x-coordinates are equal, the distance = |5 – (–3)| = |8| = 8.
Question 5: The ratio of boys to girls in a class is 3:5. If there are 24 boys, how many girls are there?
- 32
- 40 (Correct answer)
- 48
- 15
Correct answer: 40
If 3 parts = 24 boys, then 1 part = 8; 5 parts = 5 × 8 = 40 girls.
Question 6: What is the median of the data set: 7, 3, 9, 1, 5, 4, 8?
- 4
- 5 (Correct answer)
- 6
- 7
Correct answer: 5
Arranged in order: 1, 3, 4, 5, 7, 8, 9 — the middle value (4th) is 5.
Question 7: A cylinder has a radius of 3 inches and a height of 10 inches. What is its volume? (Use π ≈ 3.14)
- 282.6 in³ (Correct answer)
- 94.2 in³
- 188.4 in³
- 301.6 in³
Correct answer: 282.6 in³
V = πr²h = 3.14 × 3² × 10 = 3.14 × 9 × 10 = 282.6 in³.
