ParaPro Assessment Test Core Plus (Math Version 1 — Questions and Answers
Question 1: A student needs to find the area of a rectangle with a length of 12 cm and a width of 7 cm. The student writes: Area = 12 + 7 = 19 cm². What error did the student make?
- The student used the wrong formula; area is length × width, not length + width (Correct answer)
- The student forgot to include the units
- The student should have doubled the answer
- The student used the correct formula but made an arithmetic error
Correct answer: The student used the wrong formula; area is length × width, not length + width
Area of a rectangle is calculated by multiplying length × width, so the correct answer is 12 × 7 = 84 cm². The student incorrectly added the dimensions instead of multiplying them.
Question 2: A class has 24 students. If 3/8 of the students are working in small groups, how many students are in small groups?
- 8
- 9 (Correct answer)
- 12
- 16
Correct answer: 9
To find 3/8 of 24, multiply 24 × (3/8) = 72/8 = 9. Dividing 24 by 8 gives 3, then multiplying by 3 gives 9 students.
Question 3: A student simplifies the fraction 18/24. Which of the following is the fraction in its simplest form?
- 9/12
- 6/8
- 3/4 (Correct answer)
- 2/3
Correct answer: 3/4
The greatest common factor (GCF) of 18 and 24 is 6. Dividing both the numerator and denominator by 6 gives 18÷6 = 3 and 24÷6 = 4, so the simplest form is 3/4.
Question 4: On a number line, which of the following correctly orders these values from least to greatest: 0.6, 1/2, 3/5, 0.55?
- 1/2, 0.55, 0.6, 3/5
- 1/2, 0.55, 3/5, 0.6 (Correct answer)
- 0.55, 1/2, 3/5, 0.6
- 1/2, 3/5, 0.55, 0.6
Correct answer: 1/2, 0.55, 3/5, 0.6
Converting all to decimals: 1/2 = 0.50, 0.55 = 0.55, 3/5 = 0.60, 0.6 = 0.60. Ordered least to greatest: 0.50, 0.55, 0.60, 0.60. Since 3/5 and 0.6 are equal, the order is 1/2, 0.55, 3/5, 0.6.
Question 5: A student earns $12.50 per hour and works 6.5 hours. Which expression correctly calculates the total earnings before rounding?
- 12.50 + 6.5
- 12.50 × 6.5 (Correct answer)
- 12.50 ÷ 6.5
- 12.50 × 6 + 0.5
Correct answer: 12.50 × 6.5
Total earnings are found by multiplying the hourly rate by the number of hours worked: $12.50 × 6.5 = $81.25. Rate × time is the standard formula for calculating pay.
Question 6: A paraprofessional is helping a student understand ratios. The student is told that a recipe uses 2 cups of flour for every 3 cups of oats. If the student wants to use 9 cups of oats, how many cups of flour are needed?
- 4
- 5
- 6 (Correct answer)
- 8
Correct answer: 6
Set up the proportion: 2/3 = x/9. Cross-multiplying gives 3x = 18, so x = 6 cups of flour. Alternatively, since 9 is 3 times as much as 3, multiply 2 by 3 to get 6.
ParaPro Assessment Test Core Plus (Math Version 1
A student needs to find the area of a rectangle with a length of 12 cm and a width of 7 cm.
The student writes: Area = 12 + 7 = 19 cm².
What error did the student make?