Third graders are expected to read, interpret, and create bar graphs according to Common Core State Standard 3.MD.3. The official standard asks students to draw scaled picture graphs and scaled bar graphs, then solve one- and two-step “how many more” and “how many less” problems using information from scaled bar graphs. See the Grade 3 Measurement and Data standards for the original wording.
This worksheet provides 10 original bar graph problems with a complete answer key. Problems progress from basic reading tasks to multi-step comparisons, matching the range of difficulty students encounter in third grade classrooms and assessments.
What CCSS 3.MD.3 Expects
Common Core Standard 3.MD.3 states: Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step “how many more” and “how many less” problems using information presented in scaled bar graphs.
Key skills tested:
- Reading values from a bar graph by interpreting the scale
- Comparing two or more bars (which is greater, which is less)
- Solving “how many more” questions (subtraction)
- Solving “how many fewer” or “how many less” questions (subtraction)
- Finding totals across multiple categories (addition)
- Creating a bar graph from a given data set
Bar Graph Worksheet: 10 Practice Problems
Use this data table for Problems 1–6:
Mrs. Rivera’s class surveyed 30 students about their favorite fruit. The results are shown in the table below:
| Fruit | Number of Students |
|---|---|
| Apple | 8 |
| Banana | 10 |
| Grapes | 6 |
| Orange | 4 |
| Strawberry | 2 |
Imagine the data displayed as a bar graph with a scale of 2 (each interval on the y-axis represents 2 students).
Problem 1. Which fruit is the most popular?
Problem 2. Which fruit is the least popular?
Problem 3. How many more students chose Banana than chose Grapes?
Problem 4. How many fewer students chose Orange than chose Apple?
Problem 5. How many students in total chose either Apple or Grapes?
Problem 6. How many students did NOT choose Banana?
Use this data table for Problems 7–10:
A pet store counted the animals in its store. The bar graph shows the number of each type of animal. Scale: each bar unit = 5 animals.
| Animal | Number of Animals |
|---|---|
| Dogs | 15 |
| Cats | 10 |
| Fish | 30 |
| Birds | 5 |
Problem 7. How many animals are in the store in total?
Problem 8. On the bar graph (scale of 5), the bar for Fish reaches which number on the scale?
Problem 9. How many more Fish are there than Dogs and Cats combined?
Problem 10. The store owner wants to double the number of Birds. How many Birds would the store have after doubling?
Answer Key
Answer 1. Banana (10 students — the tallest bar).
Answer 2. Strawberry (2 students — the shortest bar).
Answer 3. 10 − 6 = 4 more students chose Banana than Grapes.
Answer 4. 8 − 4 = 4 fewer students chose Orange than Apple.
Answer 5. 8 + 6 = 14 students chose either Apple or Grapes.
Answer 6. 30 − 10 = 20 students did NOT choose Banana.
Answer 7. 15 + 10 + 30 + 5 = 60 animals.
Answer 8. 30 ÷ 5 = 6 units up the scale. The bar reaches 6 on a scale that counts by 5s (meaning the bar reaches the 30 mark if the axis is labeled by actual values, or the 6th tick if counting by 5s).
Answer 9. Dogs + Cats = 15 + 10 = 25. Fish − (Dogs + Cats) = 30 − 25 = 5 more Fish.
Answer 10. 5 × 2 = 10 Birds.
Common Mistakes to Watch For
- Misreading the scale: When a bar graph uses a scale of 2 or 5, students often read the bar as if the scale is 1. Always check the y-axis label and the interval between tick marks before reading any value.
- Confusing “how many more” with “how many total”: “How many more” always means subtraction (larger − smaller). “How many total” means addition. Watch for these key phrases in word problems.
- Forgetting to add all categories for a total: Problems asking for the total number of items require adding every bar value. Students sometimes only add the bars they found most recently.
- Stopping at one step in a two-step problem: Problem 9 above requires two steps — adding Dogs and Cats first, then subtracting from Fish. Students who stop after the first step will get 25 instead of 5.
Extension Activity: Create Your Own Bar Graph
Ask a family member, classmate, or friend: “What is your favorite color?” Survey at least 5 people. Record the results in a table. Then draw a bar graph with a scale of 2 or 5. Make sure to label the title, the categories on the x-axis, and the scale on the y-axis.
Once your graph is drawn, write two “how many more” or “how many less” questions based on your data and answer them. This is exactly the kind of task tested on third grade math assessments.
More Grade 3 Math Practice
ViewMath Grade 3 practice test books include bar graph questions alongside multiplication, fractions, geometry, and measurement problems. Each book provides full-length practice tests with answer keys and worked solutions. Browse the resources listed on this page to find the right fit for your student.
