🧩 5th grade math · Patterns & Algebra

Order of operations

Do the grouping symbols first. Then multiply and divide, then add and subtract.

Worked example

Work out the value: (6 + 3) × 8

Answer: 72

Do what is inside the grouping symbols first (parentheses, then brackets, then braces). Then multiply and divide, then add and subtract, working left to right. (6 + 3) × 8 = 72. Answer: 72.

For grown-ups: Order of operations with parentheses, brackets, braces; write simple expressions. Below: three problems to try with the worked answers, and a free printable sheet. Children can practise the same skill as a game, with no sign-up and no ads.

CCSS 5.OA.A.1–2

What this practises, for teachers

Practices order of operations with parentheses, brackets, braces; write simple expressions (5.OA.A.1–2). A printable sheet with its answer key, worked answers on the page, no accounts.

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For your class

🖨️ Printable sheet and key

On the board with this skill:

Algebra tiles

More printables, with answer keys, for this grade:

Order of operations

Try three

Work out the value: (7 + 6) × 9
Show the answer and how
Answer: 117
Do what is inside the grouping symbols first (parentheses, then brackets, then braces). Then multiply and divide, then add and subtract, working left to right. (7 + 6) × 9 = 117. Answer: 117.
Work out the value: (5 + 6) × 3
Show the answer and how
Answer: 33
Do what is inside the grouping symbols first (parentheses, then brackets, then braces). Then multiply and divide, then add and subtract, working left to right. (5 + 6) × 3 = 33. Answer: 33.
Work out the value: (12 − 4) × 2
Show the answer and how
Answer: 16
Do what is inside the grouping symbols first (parentheses, then brackets, then braces). Then multiply and divide, then add and subtract, working left to right. (12 − 4) × 2 = 16. Answer: 16.

Before and after

Learn first: Patterns in times tables (3rd)

Comes next: Two patterns on a graph (5th), Letters for numbers (6th)

Name: ____________________Date: ____________Score: ____ / 12

Order of operations (5th grade)

Work out the value: 11 + 6 × 9
Work out the value: 6 × 4 − 6
Work out the value: 4 × 5 − 16
Work out the value: 5 × 6 − 12
Work out the value: 20 − 2 + 5
Work out the value: 8 × 7 − 54
Work out the value: 2 + 2 × 4
Work out the value: 5 × (3 + 5) − 4
Work out the value: 8 × 2 + 5 × 7
Work out the value: 3 × 7 + 7 × 9
Work out the value: 5 × 6 + 4 × 4
Work out the value: (10 − 6) × 7

Try three

Before and after

Order of operations (5th grade)

Answer key