FREE ParaPro Core Plus (Math Version 1) Questions and Answers 2

Question 1

A student is asked to find 15% of 80. Which method is MOST efficient for a student who understands percent basics?

Accepted Answer

Finding 10% of 80 (=8), then finding 5% of 80 (=4), and adding them (8+4=12)

Answer

Breaking 15% into 10% + 5% uses easy mental math: 10% of 80 = 8, 5% of 80 = 4, so 15% = 12. This benchmark percent strategy builds number sense.

Question 2

A student solves the equation 2x + 3 = 11 and gets x = 7. Is this correct? What is the proper solution?

Accepted Answer

No; subtract 3 from both sides to get 2x = 8, then divide by 2 to get x = 4

Answer

Subtracting 3 from both sides: 2x = 8; dividing by 2: x = 4. The student's answer of x = 7 is incorrect.

Question 3

Which of the following represents the correct order of operations for evaluating 3 + 4 × 2²?

Accepted Answer

Exponent first: 3 + 4 × 4 = 3 + 16 = 19

Answer

Order of operations (PEMDAS): exponents first (2²=4), then multiplication (4×4=16), then addition (3+16=19). The answer is 19.

Question 4

A student is graphing the point (3, -2) on a coordinate plane. Where is this point located?

Accepted Answer

3 units right and 2 units down from the origin

Answer

The ordered pair (x, y) = (3, -2) means 3 units right on the x-axis (positive) and 2 units down on the y-axis (negative).

Question 5

A student needs to compare the fractions 3/4 and 5/7. Which method is MOST reliable?

Accepted Answer

Find a common denominator and compare: 21/28 vs. 20/28, so 3/4 > 5/7

Answer

Converting to a common denominator (28) gives 3/4 = 21/28 and 5/7 = 20/28, revealing that 3/4 > 5/7. This is the most reliable comparison method.

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