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.
Step 2:
From left to right, do all addition and subtraction.
However, if there are parentheses or other types of brackets, do all operations that lie inside them first:
The order of operations also applies while working inside parentheses:
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:
All operations 1-100
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.
Step 2:
From left to right, do all addition and subtraction.
However, if there are parentheses or other types of brackets, do all operations that lie inside them first:
The order of operations also applies while working inside parentheses:
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:
Translating verbal expressions into equations
The quotient of a number and three is 6 ⇒ x/3=6
Translating verbal expressions into equations
Basic arithmetic operations
Sum - outcome of adding two or more numbers
summand + summand = addend + addend = sum
Related expressions: addition, more than, total, plus, increase, altogether
Examples:
Calculate the sum of 12 and 3.
Answer: 12+3=15
What is ten more than twelve?
Answer: 10+12=22
Difference - outcome of subtracting two numbers
minuend – subtrahend = difference
Related expressions: minus, decrease, difference, deduct, less than, fewer than, take away
Examples:
Calculate the difference of 12 and 3.
Answer: 12−3=9
What number is ten less then twelve?
Answer: 12−10=2
What is 10 fewer than 50?
Answer: 50−10=40
The parts you subtract or add are also called terms.
Product - outcome of multiplying two or more numbers.
factor × factor = product
Example: Calculate the product of 12 and 3.
Answer: 12 × 3 = 36
Quotient - outcome of division of two numbers
dividend ÷ divisor = quotient
Example: Calculate the quotient of 12 and 3.
Answer: 12 ÷ 3 = 4
