Practice Test: Ratios and Number Expressions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you calculate a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, 30% of 260 is calculated as 260 x 0.30 = 78.

Front

What does '20% off' mean?

Back

'20% off' means that the price is reduced by 20% of the original price. For example, if an item costs $100, a 20% discount means you pay $80.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). For example, 1/8 = 0.125.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS.

Front

What is the original price if an item is bought for $125 after a 20% discount?

Back

The original price is $156.25.

Front

What is 30% of 260?

Back

30% of 260 is 78.

Front

How do you solve the expression 27 - 8 x 3 + 62?

Back

Using the order of operations, first calculate 8 x 3 = 24, then 27 - 24 + 62 = 65.

Front

What is the decimal equivalent of 3/5?

Back

The decimal equivalent of 3/5 is 0.6.

Front

What is a number expression?

Back

A number expression is a mathematical phrase that can include numbers, operators (like +, -, x, ÷), and sometimes variables, but does not have an equal sign.