ParaPro Core Plus (Math Version 4 — Questions and Answers
Question 1: A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of randomly picking 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.
Question 2: Which expression is equivalent to 4(x + 3) − 2x?
- 2x + 3
- 2x + 12 (Correct answer)
- 6x + 3
- 6x + 12
Correct answer: 2x + 12
Distribute: 4x + 12 − 2x = 2x + 12.
Question 3: A triangle has angles measuring 45°, 90°, and x°. What is the value of x?
- 25
- 35
- 45 (Correct answer)
- 55
Correct answer: 45
The sum of angles in a triangle is 180°, so x = 180 − 45 − 90 = 45.
Question 4: Convert 0.375 to a fraction in simplest form.
- 3/8 (Correct answer)
- 37/100
- 3/75
- 375/1000
Correct answer: 3/8
0.375 = 375/1000, which simplifies to 3/8 by dividing by 125.
Question 5: A recipe calls for 2½ cups of flour. If you want to make 3 batches, how many cups of flour do you need?
- 5½
- 6
- 7
- 7½ (Correct answer)
Correct answer: 7½
2½ × 3 = 5/2 × 3 = 15/2 = 7½ cups.
Question 6: On a coordinate plane, what quadrant contains the point (−4, 6)?
- Quadrant I
- Quadrant II (Correct answer)
- Quadrant III
- Quadrant IV
Correct answer: Quadrant II
A negative x-value and positive y-value place the point in Quadrant II.
Question 7: If 5n + 7 = 32, what is the value of n?
- 3
- 5 (Correct answer)
- 7
- 8
Correct answer: 5
5n = 32 − 7 = 25, so n = 25 ÷ 5 = 5.
ParaPro Core Plus (Math Version 4
A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles.
What is the probability of randomly picking a blue marble?