5th Grade Math

Fraction operations, decimal operations, volume, coordinate plane, expressions

Not sure 5th Grade is the right level? Take the free 2-minute placement quiz to find where your child should start.

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5th Grade Mixed Review

A spiral-review worksheet mixing problems from every 5th Grade topic โ€” free to print, with answer key.

Fractions

Add and subtract unlike denominators, multiply fractions

12 lessons with worksheetsStart Learning

Coordinate Plane

Plot ordered pairs and graph on coordinate plane

5 lessons with worksheetsStart Learning

Measurement

Convert between metric and customary units

5 lessons with worksheetsStart Learning

What 5th Grade math looks like, solved step by step

Real 5th Grade problems, one per topic, from fractions to data & graphs โ€” the same explanations your child sees when practicing online.

Volume

Find the volume of a cube with side length 4 units.

  1. Volume of a cube = side ร— side ร— side.
  2. 4 ร— 4 = 16, then 16 ร— 4 = 64.
  3. The volume is 64 cubic units.

Answer: 64

All 5th Grade volume lessons

Bar Models

The ratio of Tom's crayons to Mia's crayons is 2 : 7. Mia has 75 more crayons than Tom. How many crayons does Tom have?

  1. Draw Tom's bar as 2 units and Mia's bar as 7 units. Mia's bar is longer by 7 โˆ’ 2 = 5 units.
  2. 5 units = 75, so 1 unit = 75 รท 5. 75 รท 5: take away 5 ร— 10 = 50 (25 left), 5 ร— 5 = 25 (0 left). 10 + 5 = 15, so 75 รท 5 = 15.
  3. Tom has 2 units: 2 ร— 15 = 10 ร— 2 + 5 ร— 2 = 20 + 10 = 30.
  4. Tom has 30 crayons.

Answer: 30

All 5th Grade bar models lessons

Data & Graphs

Bead Bags
01/41/2XXX3/4XXX1XX1 1/41 1/2XXX1 3/4XX2X2 1/4XX2 1/2Weight (pounds)

Each X is one bag of beads.

What is the difference in weight between the heaviest bag of beads and the lightest bag of beads?

  1. The greatest measurement is the X farthest right: 2 1/4. The least is the X farthest left: 1/2.
  2. Write both with the same denominator, 4: 2 1/4 = 9/4 and 1/2 = 2/4. Subtract: 9/4 โˆ’ 2/4 = 7/4 = 1 3/4.
  3. So the difference is 1 3/4 pounds.

Answer: 1 3/4

All 5th Grade data & graphs lessons

A sample week of 5th Grade practice

One way to spend five short sessions: the first two new lessons of Fractions and Decimals, one printable worksheet a day, then a mixed review. For a signed-in child, Today's Math picks each day's problems instead: due reviews first, then the next skill at their working level.

  1. Monday
    Adding Unlike Denominators 1 ยท Fractions ยท 10 problems

    Starts Fractions at its first new lesson, Adding Unlike Denominators.

  2. Tuesday
    Subtracting Unlike Denominators 1 ยท Fractions ยท 10 problems

    Builds on Adding Unlike Denominators with the next new lesson, Subtracting Unlike Denominators.

  3. Wednesday
    Decimal Place Value 1 ยท Decimals ยท 10 problems

    Starts Decimals at its first new lesson, Decimal Place Value.

  4. Thursday
    Adding Decimals 1 ยท Decimals ยท 10 problems

    Builds on Decimal Place Value with the next new lesson, Adding Decimals.

  5. Friday
    5th Grade Mixed Review ยท Mixed review

    One sheet drawing problems from across 5th Grade topics, so a week of Fractions and Decimals ends on mixed recall rather than the last thing practiced.

Frequently Asked Questions

What math topics are covered in Grade 5?
Grade 5 covers Fractions, Decimals, Division, Volume, Coordinate Plane, Expressions, Bar Models, Geometry, Measurement, Data & Graphs. Each topic includes multiple progressive worksheets with increasing difficulty.
Are Grade 5 math worksheets aligned to Common Core?
Yes, all worksheets align with Common Core State Standards for Grade 5 mathematics, ensuring your child builds skills in the right sequence.
Are the Grade 5 worksheets free?
Yes, all printable worksheets are free to download and print. Answer keys and detailed progress reports require a premium subscription.