5th Grade Numerical Expressions and Order of Operations Test with Point Values (PDF)

Evaluate each expression.

1. \(14+6\times3\) (1 point)
2. \((14+6)\times3\) (1 point)

Evaluate each expression.

1. \(54\div9\times2\) (1 point)
2. \(5\times[4+(10-7)]\) (1 point)

Evaluate \(\{20-[3\times(2+2)]\}\div2\).

Write an expression for each phrase. Do not evaluate.

1. Subtract 8 from 30, then multiply by 2. (1 point)
2. Add 12 and 9, then divide by 7. (1 point)

Without calculating, tell whether \(5\times(87+142)\) is greater than, less than, or equal to \(87+142\). Explain how you know.

Copy each number sentence and insert one pair of parentheses to make it true.

1. \(3+4\times5=35\) (1 point)
2. \(24\div2+4=4\) (1 point)

Noah buys 4 notebooks at \(\$3\) each and 2 pens at \(\$2\) each.

1. Write one expression for the total cost. (1 point)
2. Find the total cost. (2 points)

Aisha brings 5 boxes with 8 oranges in each box. She throws away 4 bad oranges and shares the rest equally among 9 players.

1. Write one expression for the number of oranges each player gets. (1 point)
2. Find how many oranges each player gets. (2 points)

Mei evaluates \(25-3\times(4+2)\) as shown below.

Explain Mei’s mistake and find the correct value.