Skip to the main content
PeabodyMake a free story

📊 3rd grade math · Data & Chance

Graphs with a key

Half a symbol is half its value. If a symbol is 10, half is 5. For two steps, put groups together first, then compare.

Worked example

How many pears are there?
Fruit at snack timeorangesapplesgrapespearsEach symbol = 5 pieces of fruit
Answer: 25
Count the symbols in the row, and each symbol is worth 5. That makes 5 × 5 = 25. Answer: 25.

For grown-ups: Scaled picture and bar graphs. Below: three problems to try with the worked answers, and a free printable sheet. Children can practise the same skill as a game, with no sign-up and no ads.

  • CCSS 3.MD.B.3
What this practises, for teachers

Practices scaled picture and bar graphs (3.MD.B.3). A printable sheet with its answer key, worked answers on the page, no accounts.

▶ Practise it

For your class

🖨️ Printable sheet and key

Try three

  1. How many blue jays are there?
    Birds at the feederrobinswrensblue jayssparrowsEach symbol = 2 birds
    Show the answer and how
    Answer: 18
    Count the symbols in the row, and each symbol is worth 2. That makes 9 × 2 = 18. Answer: 18.
  2. How many more rainy days than snowy days?
    Weather this month0102030405060708090cloudy dayssunny dayssnowy daysrainy days
    Show the answer and how
    Answer: 10
    Rainy days has 20 and snowy days has 10. How many more means take away: 20 − 10 = 10. Answer: 10.
  3. How many pets are there in all?
    Pets in our classrabbitsbirdsfishcatsEach symbol = 10 pets (half a symbol = 5)
    Show the answer and how
    Answer: 190
    Add all the groups: 40 + 10 + 60 + 80 = 190. Answer: 190.

Before and after

Learn first: Picture and bar graphs (2nd)

Comes next: Line plots with fractions (4th)

Name: ____________________Date: ____________Score: ____ / 12

Graphs with a key (3rd grade)

  1. How many more windy days than rainy days?
    Weather this monthsunny dayscloudy daysrainy dayswindy daysEach symbol = 2 days
  2. How many days are there in all?
    Weather this monthwindy dayssnowy daysrainy dayssunny daysEach symbol = 5 days
  3. How many more wrens than blue jays?
    Birds at the feederblue jayswrensfinchessparrowsEach symbol = 5 birds
  4. How many more grapes than pears?
    Fruit at snack timepearsapplesbananasgrapesEach symbol = 10 pieces of fruit
  5. How many more bananas than apples?
    Fruit at snack time024681012pearsgrapesbananasapples
  6. How many finches and sparrows are there in all?
    Birds at the feeder024681012141618wrensfinchesblue jayssparrows
  7. How many fewer snowy days than cloudy days?
    Weather this month0102030405060708090snowy dayscloudy dayssunny dayswindy days
  8. How many rainy days and snowy days are there in all?
    Weather this monthrainy dayssnowy dayswindy dayscloudy daysEach symbol = 2 days (half a symbol = 1)
  9. How many more pears than bananas?
    Fruit at snack timeorangesgrapesbananaspearsEach symbol = 10 pieces of fruit (half a symbol = 5)
  10. How many more dogs and fish together than rabbits?
    Pets in our classdogsfishcatsrabbitsEach symbol = 10 pets (half a symbol = 5)
  11. How many more fish and rabbits together than dogs?
    Pets in our classfishrabbitsdogscatsEach symbol = 2 pets (half a symbol = 1)
  12. How many more bananas than pears?
    Fruit at snack timepearsgrapesapplesbananasEach symbol = 2 pieces of fruit (half a symbol = 1)

Answer key

  1. 8
  2. 120
  3. 15
  4. 40
  5. 6
  6. 26
  7. 20
  8. 27
  9. 60
  10. 45
  11. 15
  12. 8

More 3rd grade skills: all 3rd grade math skills, or every grade at math skills.