This grade 5 expressions worksheet gives 24 problems on numerical expressions, ordered from easy to hard, with a separate answer key.
These 24 problems practice Common Core 5.OA.A.1 and 5.OA.A.2. Students evaluate expressions with parentheses, brackets, and braces, insert grouping symbols, and write expressions that record a calculation.
The problems go from one pair of parentheses to three nested layers, then to words and money. Every answer is worked out in the answer key.
Grade 5 Expressions Worksheet: problems 1–5
Problem 1: Add, then multiply
Evaluate \((8 + 4) \times 3\).
Problem 2: Subtract a sum
Evaluate \(30 – (12 + 6)\).
Problem 3: Subtract, then multiply
Evaluate \(5 \times (9 – 4)\).
Problem 4: Divide by a sum
Evaluate \(48 : (2 + 4)\).
Problem 5: Same numbers, different value
Evaluate both expressions: \(4 \times (6 + 3)\) and \(4 \times 6 + 3\). Then explain why the values differ.
Grade 5 Expressions Worksheet: problems 6–10
Problem 6: Brackets around parentheses
Evaluate \(3 \times [10 – (2 + 3)]\).
Problem 7: Brackets, then divide
Evaluate \([18 + (6 \times 4)] : 7\).
Problem 8: Subtract a bracket
Evaluate \(50 – [4 \times (2 + 3)]\).
Problem 9: Braces, brackets, and parentheses
Evaluate \(\{40 – [5 \times (3 + 2)]\} : 3\).
Problem 10: Multiply a braces group
Evaluate \(2 \times \{30 – [4 \times (3 + 2)]\}\).
Grade 5 Expressions Worksheet: problems 11–15
Problem 11: Two groups multiplied
Evaluate \((7 + 5) \times (9 – 6)\).
Problem 12: Two groups subtracted
Evaluate \((36 : 4) – (2 \times 3)\).
Problem 13: Insert parentheses, sum first
Copy the equation and insert one pair of parentheses to make it true: \(4 + 6 \times 3\) \(= 30\).
Problem 14: Insert parentheses, difference first
Copy the equation and insert one pair of parentheses to make it true: \(20 – 8 : 4\) \(= 3\).
Problem 15: Add, then double
Write an expression for “add 8 and 7, then multiply by 2.” Do not evaluate it.
Grade 5 Expressions Worksheet: problems 16–20
Problem 16: Subtract, then divide
Write an expression for “subtract 6 from 20, then divide by 7.”
Problem 17: Triple a sum
Write an expression for “triple the sum of 12 and 9.”
Problem 18: Divide by a difference
Write an expression for “divide 45 by the difference of 11 and 6.”
Problem 19: Compare without calculating
Without evaluating, tell how \(3 \times (18 + 5)\) compares with \(18 + 5\). Use the words “times as large.”
Problem 20: Half of a sum
Without evaluating, tell how \(\frac{1}{2} \times (36 + 18)\) compares with \(36 + 18\).
Grade 5 Expressions Worksheet: problems 21–24
Problem 21: Little League roster
A Little League has 6 teams. Each team has 12 players and 2 coaches. Write one expression for the number of people in the league, then evaluate it.
Problem 22: School store stickers
Maya buys 4 sticker packs at $3 each and a card for $5. She uses a $2 coupon. Write one expression for the amount she pays, then evaluate it.
Problem 23: Spending from $50
Ethan has $50. He buys 3 shirts at $9 each and 2 hats at $6 each. Write one expression for the money he has left, then evaluate it.
Problem 24: Find the mistake
Diego says that \(5 \times (8 – 3) = 37\). Find his mistake and give the correct value.
How to use this grade 5 expressions worksheet
Print this grade 5 expressions worksheet as a PDF, solve every problem on paper, then compare with the answer key.
See every chapter on the Grade 5 math page.