Tally Charts Examples in Math

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Tally Charts.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.

Concept Recap

A method of recording and organizing data by drawing tally marks grouped in sets of five, where four vertical lines are crossed by a fifth diagonal line.

Tally marks are like keeping score with your fingersβ€”every fifth mark crosses the group, making it easy to count by 5s. It's faster than writing numbers while things are happening in real time.

Read the full concept explanation β†’

How to Use These Examples

  • Read the first worked example with the solution open so the structure is clear.
  • Try the practice problems before revealing each solution.
  • Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: Tally marks group data into fives, combining counting and skip counting to quickly find totals.

Common stuck point: Remembering to draw the fifth mark diagonally across the group, not as another vertical line.

Sense of Study hint: Count the complete groups of five first (5, 10, 15, ...) then add any remaining single marks.

Worked Examples

Example 1

easy
A tally chart shows: Red: |||| (4 tallies), Blue: |||| | (5 tallies), Green: ||| (3 tallies). How many total votes were recorded?

Solution

  1. 1
    Count each row's tallies: Red=4, Blue=5, Green=3.
  2. 2
    Add all together: \(4 + 5 + 3 = 12\).
  3. 3
    12 total votes were recorded.

Answer

12 votes
Count each tally mark, then add all the categories together to find the total.

Example 2

medium
A tally chart shows pets owned by students: Dogs: |||| |||| (10), Cats: |||| ||| (8), Fish: |||| (5), Birds: || (2). Which pet is most common and which is least common?

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

easy
Draw a tally chart with 7 marks. Write the tally in groups of 5. How many groups of 5 are there, and how many leftover marks?

Example 2

medium
A class votes on a field trip. Museum: |||| || (7), Park: |||| |||| (9), Zoo: |||| | (6). How many more votes did the park get than the zoo?

Background Knowledge

These ideas may be useful before you work through the harder examples.

countingskip counting