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Maths · Data

Read a bar-chart value

Read one category value using the bar-chart scale.

Watch the worked example

Crack the Bar-Chart Scale

This video shows how to use the scale and category labels to find the value represented by one bar. Watch an 11+ maths question solved step by step.

Turn on captions with the CC button. Jump to any part with the chapter buttons.

Read the transcript

Keep practising with Trace Learn. Find topics to practise next

Quick quiz: Read a bar-chart value

10 questions, with feedback after each one. No sign-up needed.

Read the questions in this quiz
  1. Question 1

    Read the Oregano bar. How many trays does it show? Enter the number only.

    050100150200250200Oregano50Basil70Coriander120Dill210Thyme150ParsleyHerbTrays
  2. Question 2

    Read the Coriander bar. How many trays does it show? Enter the number only.

    05010015020080Chives150Oregano70Thyme40Mint180Coriander130DillHerbTrays
  3. Question 3

    Read the Compost bar. How many loads does it show? Enter the number only.

    050100150200250220Electricals80Rubble200Compost190Batteries170Cardboard30TimberMaterialLoads
  4. Question 4

    Read the Alpacas bar. How many pens does it show? Enter the number only.

    050100150200250140Calves40Sheep150Hens70Goats60Alpacas240DucksAnimalPens
  5. Question 5

    Read the Cartons bar. How many bags does it show? Enter the number only.

    050100150200250230Cartons220Netting100Cans40Rope190Plastic30GlassItemBags
  6. Question 6

    Read the Hutches bar. How many boxes does it show? Enter the number only.

    050100150200250120Tanks240Hutches80Grooming60Kibble90Collars150BeddingSupplyBoxes
  7. Question 7

    Read the Otters bar. How many sightings does it show? Enter the number only.

    050100150200120Bison200Lemurs70Tapirs100Capybaras160Lynx50OttersAnimalSightings
  8. Question 8

    Read the Lemurs bar. How many sightings does it show? Enter the number only.

    050100150200250240Otters120Lemurs230Wolves210Bison220Meerkats40TapirsAnimalSightings
  9. Question 9

    Read the Astronomy bar. How many scouts does it show? Enter the number only.

    05010015020025080Photography30Camping170Astronomy160Navigation190Angling240FirelightingBadgeScouts
  10. Question 10

    Read the Twilight bar. How many skaters does it show? Enter the number only.

    050100150200200Weekend170Evening100Disco190Afternoon150Twilight120MorningSessionSkaters

Practise it now

Tap the Train bar. Then read its top off the scale: how many children does it stand for?

Loading the interactive exercise. Nothing you do here is saved or scored.

A worked example

One question of the kind this skill is tested with, worked all the way through: the reasoning, and what the wrong answers are there to catch.

Calls answered by the fire station

Start with the Chimneys bar. How many calls does it show?

Each bar shows the number of calls recorded for that incident.

01020304050607065Drills40Rescues50Lockouts45Chimneys10SpillagesIncidentCalls

Bar chart with horizontal axis Incident and vertical axis Calls: Drills is 65; Rescues is 40; Lockouts is 50; Chimneys is 45; Spillages is 10.

Table columns: Incident, Calls. Rows: Drills, 65; Rescues, 40; Lockouts, 50; Chimneys, 45; Spillages, 10.

Answer: 45

How you get there

The top of the Chimneys bar lines up with 45 on the scale, which means the Chimneys bar stands for 45 calls.

Why the other answers tempt

The tallest bar is not always the one the question names - check the label under the bar first.

If they are stuck, say this

Find the Chimneys bar first, then follow its top edge across to the scale on the left and read the number there.

Now do it live in Bar Reader

What this exercise is doing

Bar Reader

Tap the Train bar. Then read its top off the scale: how many children does it stand for?

The Train bar stops level with 30 on the scale. The lines on this chart go up in 5s, and only every other line carries a number, so the bare lines in between are the ones you have to count through. The top of the bar sits exactly on a line, so you can read it straight off. Keeping your finger level as you cross to the scale is what stops a reading landing one line out.

  1. Step 1. Find it. Tap the bar the question names.
  2. Step 2. Read it. Now read the scale and choose how many children that is.

What to say if they get stuck

  1. Find the bar, row or slice the question names before you read anything. Getting the label right matters as much as the reading.
  2. The scale does not always count up in single steps. Work out what a single line is worth before you read anything off it.
  3. Keep your finger level as you slide from the board across to the scale. Drifting up or down by a line is the commonest slip there is.

Open Bar Reader on its own page to share it

What usually goes wrong here

  • Counts grid intervals as units without decoding the scale.

This is the wrong answer 11+ papers are built to offer, so it is worth watching for directly: a child who does this will look confident and still lose the mark. If it keeps happening on read a bar-chart value, the fix is the misunderstanding rather than more questions.

Where read a bar-chart value sits in the 11+

The 11+ does not test these skills in isolation, and practising one in the wrong order wastes the practice. These are the skills the curriculum map connects this one to.

This opens up

Compare bar-chart values

A comparison requires accurate scale reading.

How read a bar-chart value differs from the skills beside it

The same exercise practises one other skill, and telling them apart is often the difficulty rather than the exercise itself. On this page the skill is: read one category value using the bar-chart scale, and it stops where excludes comparing several bars.

Related maths skills

All maths 11+ skills

Questions parents ask about read a bar-chart value

What this skill involves, common mistakes and ways to practise it at home.

Read one category value using the bar-chart scale. It is one of 55 named maths skills in the 11+, in the data strand, and this page carries 1 interactive exercise that practises it.

One wrong answer is a slip, the same wrong answer every time is a habit

A free diagnostic looks at which mistakes repeat across all four subjects, not just whether read a bar-chart value was right on the day.