Free ParaPro Math Questions and Answers 2 — Questions and Answers

Question 1: What is the least common multiple (LCM) of 4 and 6?

8
12 (Correct answer)
18
24

Correct answer: 12

The LCM of 4 and 6 is 12, because 12 is the smallest number that both 4 and 6 divide evenly into (4×3=12, 6×2=12).

LCM method: list multiples of 4 (4, 8, 12, 16...) and multiples of 6 (6, 12, 18...). The smallest common multiple is 12. LCM is used when adding or subtracting fractions with different denominators (finding the common denominator). LCM differs from GCF (greatest common factor): GCF of 4 and 6 is 2. Knowing both and distinguishing between them is important for fraction operations.

Question 2: A rectangle has a length of 12 feet and a width of 7 feet. What is its area?

38 square feet
84 square feet (Correct answer)
19 square feet
96 square feet

Correct answer: 84 square feet

Area = length × width = 12 × 7 = 84 square feet.

Area measures the amount of surface a shape covers, expressed in square units. Area of a rectangle = l × w = 12 × 7 = 84 sq ft. This is distinct from perimeter: P = 2(l+w) = 2(12+7) = 2(19) = 38 ft. Students frequently confuse area and perimeter; a helpful distinction: perimeter is the fence around a yard (linear), area is the grass inside (square units).

Question 3: Which of the following is equivalent to 0.75?

1/3
3/5
3/4 (Correct answer)
2/3

Correct answer: 3/4

0.75 = 75/100 = 3/4. Three-fourths expressed as a decimal is 0.75.

Decimal-to-fraction conversion: 0.75 means 75 hundredths = 75/100. Simplify by dividing numerator and denominator by GCF (25): 75÷25 / 100÷25 = 3/4. Key benchmark fractions: 1/4=0.25, 1/2=0.50, 3/4=0.75, 1/3≈0.333, 2/3≈0.667, 1/5=0.20. Memorizing these benchmarks speeds calculation on the ParaPro Assessment.

Question 4: If a train travels 180 miles in 3 hours, what is its average speed?

60 mph (Correct answer)
54 mph
45 mph
90 mph

Correct answer: 60 mph

Speed = distance ÷ time = 180 ÷ 3 = 60 mph.

Using the distance-rate-time formula: Rate = Distance/Time = 180 miles / 3 hours = 60 mph. This is the average speed for the entire trip. Verification: 60 mph × 3 hours = 180 miles. ✓ The formula triangle (D = R×T) can be rearranged for any unknown: R = D/T, T = D/R.

Question 5: What is 3/8 expressed as a percentage?

37.5% (Correct answer)
38%
32%
40%

Correct answer: 37.5%

3/8 = 3 ÷ 8 = 0.375 = 37.5%.

To convert a fraction to a percent: divide numerator by denominator (3 ÷ 8 = 0.375), then multiply by 100 (37.5%). Alternatively, find an equivalent fraction with denominator 100: 3/8 × 12.5/12.5 = 37.5/100 = 37.5%. Fraction-decimal-percent conversion is a core skill on the ParaPro math section.

Question 6: A student needs to find the median of: 3, 7, 8, 10, 11, 15. What is the median?

8
9 (Correct answer)
10
8.5

Correct answer: 9

With 6 values (even count), the median is the average of the two middle values: (8 + 10) ÷ 2 = 18 ÷ 2 = 9.

Median is the middle value when data is ordered. With an odd count, it's the exact middle. With an even count (6 values here), there are two middle values — the 3rd and 4th: 8 and 10. Median = (8+10)/2 = 9. Note: the median (9) is not one of the listed data values — this is valid and expected with an even data count. Students often confuse median with mode (most frequent) or mean (average).

Free ParaPro Math Questions and Answers 2

What is the least common multiple (LCM) of 4 and 6?