Numerical Expressions: Grade 5 Math Test – PDF Download

Grade 5 Expressions Test: questions 1–5

Question 1: Evaluate with parentheses (3 points)

1. Evaluate \(4 \times (15 – 9)\). (1 point)
2. Evaluate \(56 : (3 + 4)\). (1 point)
3. Evaluate \(100 – (8 \times 7)\). (1 point)

Question 2: Nested grouping symbols (3 points)

1. Evaluate \(2 \times [9 + (12 : 3)]\). (1 point)
2. Evaluate \(120 : \{4 \times [2 + (9 – 6)]\}\). (2 points)

Question 3: Write expressions (3 points)

Write an expression for each phrase. Do not evaluate.

1. Multiply the sum of 9 and 14 by 3. (1 point)
2. Subtract the product of 4 and 5 from 50. (1 point)
3. Divide the difference of 30 and 12 by 6. (1 point)

Question 4: Interpret without evaluating (2 points)

Consider the expression \(4 \times (25 + 17)\). Do not find any values.

1. Compare \(4 \times (25 + 17)\) with \(25 + 17\). (1 point)
2. Without calculating, tell whether \(\frac{1}{3} \times (24 + 9)\) is less than, equal to, or greater than \(24 + 9\). Explain. (1 point)

Question 5: Insert parentheses (2 points)

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

1. Fix the first equation. (1 point)
2. Fix the second equation. (1 point)

Grade 5 Expressions Test: questions 6–8

Question 6: Farmers market boxes (3 points)

Priya packs 5 boxes at the farmers market. Each box holds 8 peaches and 3 plums. She then gives 9 pieces of fruit to a neighbor.

1. Write one expression for the number of pieces of fruit Priya has left. (1 point)
2. Evaluate your expression. (1 point)
3. Tell what \(8 + 3\) means in this problem. (1 point)

Question 7: Noah's notebook (2 points)

Noah worked this problem in his notebook.

1. Describe Noah’s mistake. (1 point)
2. Find the correct value. (1 point)

Question 8: Compare two expressions (2 points)

Evaluate \(5 \times (7 – 2)\) and \(5 \times 7 – 2\). Then tell which expression has the greater value.

How to use this grade 5 expressions test

Take this grade 5 expressions test without notes, then grade it with the test answer key out of 20 points.

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Grade 5 Numerical Expressions test

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