PTA Mathematical Reasoning

Question 1

What is the order of operations in mathematics?

Accepted Answer

Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right)

Answer

PEMDAS (or BODMAS) ensures consistent calculation: Parentheses first, then Exponents, then Multiplication and Division (left to right), then Addition and Subtraction (left to right).

Question 2

How do you convert a fraction to a percentage?

Accepted Answer

Divide the numerator by the denominator and multiply by 100

Answer

To convert a fraction to a percentage, divide the top number by the bottom number, then multiply by 100. For example, 3/4 = 0.75 × 100 = 75%.

Question 3

What is the Pythagorean theorem?

Accepted Answer

In a right triangle, a² + b² = c², where c is the hypotenuse

Answer

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.

Question 4

What is the difference between mean, median, and mode?

Accepted Answer

Mean is the average, median is the middle value, mode is the most frequent value

Answer

Mean = sum of values divided by count. Median = middle value when ordered. Mode = most frequently occurring value. They measure central tendency differently.

Question 5

How do you solve a proportion?

Accepted Answer

Cross-multiply and solve for the unknown variable

Answer

In a proportion a/b = c/d, cross-multiplying gives ad = bc, which can be solved for any unknown variable.

(PTA) Practice Tests Academy Practice Test

(PTA) Practice Tests Academy Practice Test

PTA Mathematical Reasoning