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State standards

Grade 4MD 4.DS.A.1

Bar graphs and scales

Reading and drawing bar graphs with scales of 2, 5 and 10, and seeing how a scale that doesn't start at 0 changes what a graph seems to say.

Download PDFMake your ownThe PDF has this sheet, its answer key and a guide for grown-ups.

How to help

Read the scale first: each line might be 2, 5 or 10. A bar between two lines is halfway. Then check where the scale starts before comparing bar heights.

Watch for: Counting each line as 1 when the scale goes by 5. Reading a bar halfway between lines as the line below. Saying a bar is three times as much because it looks three times as tall.

At home: Find a bar graph in the news or a magazine. Check where its scale starts, and ask whether the bars look fair.

Sample sheet and answer key

Luna's Space Adventure

Grade 4 · Bar graphs and scales · 4.DS.A.1

NameDate

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Read the bar graph

Each line is 5.

05101520253035404550rocketsstarsmoonsplanets
  1. How many moons?
  2. How many more planets than stars?
  3. How many planets and moons together?

Look again

This scale doesn't start at 0. How does that change the picture?

1618202224rocketsplanetsstars
  1. Where does the scale start?
  2. The rockets bar looks 3 times as tall as the planets bar. Are there really 3 times as many?
  3. How many more rockets than planets?

Yes or no?

Think about how a graph is drawn.

Two graphs show the same data. Can one make a difference look bigger?yesno

A graph's scale starts at 50. Can a short bar still stand for a big number?yesno

A bar twice as tall always means twice as much.yesno

Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 4DSA1-SP-FIRST at mathness.app/makerScan to remix or get the key
Grade 4 · Sheet

Luna's Space Adventure

Grade 4 · Bar graphs and scales · 4.DS.A.1

Answer key

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Read the bar graph

Each line is 5.

05101520253035404550rocketsstarsmoonsplanets
  1. How many moons?10
  2. How many more planets than stars?20
  3. How many planets and moons together?55

Look again

This scale doesn't start at 0. How does that change the picture?

1618202224rocketsplanetsstars
  1. Where does the scale start?16
  2. The rockets bar looks 3 times as tall as the planets bar. Are there really 3 times as many?no
  3. How many more rockets than planets?4

Yes or no?

Think about how a graph is drawn.

Two graphs show the same data. Can one make a difference look bigger?yesno

A graph's scale starts at 50. Can a short bar still stand for a big number?yesno

A bar twice as tall always means twice as much.yesno

Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 4DSA1-SP-FIRST at mathness.app/makerAnswer keyScan to remix or get the key
Answer key

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New problems every time, three levels (gentle, core and stretch), themes to pick from, a second page if you want one. Each sheet comes with an answer key and a one-page guide for grown-ups.

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Standard

Maryland 2025 4.DS.A.1 · Make and read bar graphs and line plots, and see how a graph's design changes its message.

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