ParaPro Core Plus (Math Version — Questions and Answers
Question 1: A classroom has 24 students. If 3/8 of them scored above 90% on a test, how many students scored above 90%?
Correct answer: 9
3/8 × 24 = 9 students scored above 90%.
Question 2: Which of the following is equivalent to 2³ × 2⁴?
- 2⁷ (Correct answer)
- 4⁷
- 2¹²
- 6⁷
Correct answer: 2⁷
When multiplying powers with the same base, add the exponents: 2³ × 2⁴ = 2^(3+4) = 2⁷.
Question 3: A rectangle has a length of 15 cm and a width of 8 cm. What is its perimeter?
- 23 cm
- 46 cm (Correct answer)
- 120 cm
- 56 cm
Correct answer: 46 cm
Perimeter = 2(length + width) = 2(15 + 8) = 2(23) = 46 cm.
Question 4: If y = 3x − 5 and x = 4, what is the value of y?
Correct answer: 7
Substitute x = 4: y = 3(4) − 5 = 12 − 5 = 7.
Question 5: A store marks up items by 25%. If an item costs $48, what is the selling price?
- $52
- $58
- $60 (Correct answer)
- $72
Correct answer: $60
Markup = 25% × $48 = $12; selling price = $48 + $12 = $60.
Question 6: What is the least common multiple (LCM) of 6 and 10?
- 16
- 20
- 30 (Correct answer)
- 60
Correct answer: 30
The LCM of 6 and 10 is 30, as it is the smallest number divisible by both.
Question 7: A number line shows points at −3, 0, and 4. What is the distance between −3 and 4?
Correct answer: 7
Distance = |4 − (−3)| = |4 + 3| = 7.
Question 8: 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 9: 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 10: 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 11: 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 12: A recipe calls for 2½ cups of flour. If you want to make 3 batches, how many cups of flour do you need?
Correct answer: 7½
2½ × 3 = 5/2 × 3 = 15/2 = 7½ cups.
Question 13: 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 14: If 5n + 7 = 32, what is the value of n?
Correct answer: 5
5n = 32 − 7 = 25, so n = 25 ÷ 5 = 5.
Question 15: A car travels 270 miles in 4.5 hours. What is its average speed in miles per hour?
- 55 mph
- 60 mph (Correct answer)
- 65 mph
- 70 mph
Correct answer: 60 mph
Speed = distance ÷ time = 270 ÷ 4.5 = 60 mph.
Question 16: What is the area of a circle with a radius of 7 cm? (Use π ≈ 3.14)
- 21.98 cm²
- 43.96 cm²
- 153.86 cm² (Correct answer)
- 219.8 cm²
Correct answer: 153.86 cm²
Area = πr² = 3.14 × 7² = 3.14 × 49 ≈ 153.86 cm².
Question 17: Which of the following sets of numbers is ordered from least to greatest?
- −1, −0.5, 0, 0.25 (Correct answer)
- 0.25, 0, −0.5, −1
- −0.5, −1, 0, 0.25
- 0, −0.5, 0.25, −1
Correct answer: −1, −0.5, 0, 0.25
On the number line, −1 < −0.5 < 0 < 0.25 is the correct ascending order.
Question 18: A student scored 78, 85, 91, 74, and 82 on five tests. What is the mean score?
- 80
- 81
- 82 (Correct answer)
- 83
Correct answer: 82
Mean = (78 + 85 + 91 + 74 + 82) / 5 = 410 / 5 = 82.
Question 19: Which property is illustrated by the equation 5 × (2 + 3) = 5 × 2 + 5 × 3?
- Commutative property
- Associative property
- Distributive property (Correct answer)
- Identity property
Correct answer: Distributive property
The distributive property states that a(b + c) = ab + ac.
Question 20: A map has a scale of 1 inch = 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance?
- 125 miles
- 150 miles
- 175 miles (Correct answer)
- 200 miles
Correct answer: 175 miles
Actual distance = 3.5 × 50 = 175 miles.
Question 21: What is the value of √144 + √25?
- 13
- 17 (Correct answer)
- 19
- 169
Correct answer: 17
√144 = 12 and √25 = 5, so 12 + 5 = 17.
