  Math Tests - mathematics practice questions

All operations 1-20 ## Order of operations

When calculations have more than one operation, we have to follow rules for the order of operations:

Step 1:
From left to right, do all multiplication and division.

\$\$100−20×3+5 = 100−60+5\$\$

Step 2:
From left to right, do all addition and subtraction.
\$\$100−60+5 = 45\$\$

However, if there are parentheses or other types of brackets, do all operations that lie inside them first:
\$\$70+36÷(8−2)+1 = 70+36÷6+1=\$\$
\$\$ 70+6+1 = 77\$\$

The order of operations also applies while working inside parentheses:
\$\$8+(3+3×4) = 8+(3+12) \$\$
\$\$= 8+15 = 23\$\$

When you have parentheses inside brackets and braces (sometimes referred as nested parentheses), always work from the inside out. There are multiple types of brackets. The innermost parentheses/round brackets () are calculated first, followed by the brackets/box brackets [] that normally form the next layer, followed by braces/curly brackets {} that form a third layer outwards:
\$\${1+[4×(2+3)+1]}÷11=\$\$
\$\$={1+[4×5+1]}÷11=\$\$
\$\$={1+[20+1]}÷11=\$\$
\$\$={1+21}÷11=22÷11=2\$\$