Scaled Graphs

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Answer Key & Explanations

Scaled Graphs · Grade 3 · Worksheet 1

1. The third grade classes at Oakwood Elementary voted for their favorite field trip destination. The results are shown in a scaled picture bar graph where each bus symbol represents 8 votes. The Science Museum has 7 bus symbols, the Zoo has 5 bus symbols, and the Aquarium has 9 bus symbols. How many more students voted for the Aquarium than for the Zoo? Answer: 32 Solution: Find how many students voted for the Aquarium. Each bus symbol represents 8 votes, and there are 9 bus symbols for the Aquarium. So, 9 × 8 = 72 students voted for the Aquarium.
   Full step-by-step solution

   Step 1: Find how many students voted for the Aquarium. Each bus symbol represents 8 votes, and there are 9 bus symbols for the Aquarium. So, 9 × 8 = 72 students voted for the Aquarium. Step 2: Find how many students voted for the Zoo. Each bus symbol represents 8 votes, and there are 5 bus symbols for the Zoo. So, 5 × 8 = 40 students voted for the Zoo. Step 3: Find the difference between the Aquarium votes and Zoo votes. 72 - 40 = 32. The answer is 32 more students voted for the Aquarium than for the Zoo.

2. A farmer is counting eggs from her chickens. Each picture of an egg on her chart represents 40 eggs. On Monday, there are 5 egg pictures. On Tuesday, there are 7 egg pictures. On Wednesday, there are 4 egg pictures. How many total eggs did the farmer collect from Monday to Wednesday? Answer: 640 Solution: Monday has 5 pictures, and each picture represents 40 eggs. So Monday: 5 × 40 = 200 eggs Tuesday has 7 pictures, and each picture represents 40 eggs.
   Full step-by-step solution

   Step 1: Monday has 5 pictures, and each picture represents 40 eggs. So Monday: 5 × 40 = 200 eggs Step 2: Tuesday has 7 pictures, and each picture represents 40 eggs. So Tuesday: 7 × 40 = 280 eggs Step 3: Wednesday has 4 pictures, and each picture represents 40 eggs. So Wednesday: 4 × 40 = 160 eggs Step 4: Add all three days together: 200 + 280 + 160 Step 5: First add 200 + 280 = 480 Step 6: Then add 480 + 160 = 640 The answer is 640.

3. A scaled picture bar graph shows how many books each class read. Third grade is represented by 4 book pictures, fourth grade by 6 book pictures, and fifth grade by 5 book pictures. If each book picture represents 15 books, how many books did all three grades read in total? Answer: 225 Solution: We have a scaled picture bar graph where each book picture represents 15 books. Third grade: 4 book pictures Fourth grade: 6 book pictures Fifth grade: 5 book pictures Find the number of books for each grade.
   Full step-by-step solution

   Step 1: Understand the problem. We have a scaled picture bar graph where each book picture represents 15 books. Third grade: 4 book pictures Fourth grade: 6 book pictures Fifth grade: 5 book pictures Step 2: Find the number of books for each grade. For third grade: 4 pictures × 15 books per picture = 60 books For fourth grade: 6 pictures × 15 books per picture = 90 books For fifth grade: 5 pictures × 15 books per picture = 75 books Step 3: Add the books from all three grades. Total books = 60 + 90 + 75 Step 4: Perform the addition. 60 + 90 = 150 150 + 75 = 225 Step 5: State the final answer. All three grades read a total of 225 books.

4. Liam's class voted for their favorite fruit. The results are shown in a scaled picture bar graph where each picture represents 5 votes. Apples have 4 pictures, bananas have 3 pictures, and oranges have 6 pictures. How many students voted for oranges? Answer: 30 Solution: Each picture in the graph represents 5 votes. Identify the number of pictures for oranges. The problem says oranges have 6 pictures.
   Full step-by-step solution

   Step 1: Understand the bar graph scale. Each picture in the graph represents 5 votes. Step 2: Identify the number of pictures for oranges. The problem says oranges have 6 pictures. Step 3: Multiply the number of pictures by the number of votes each picture represents. Number of votes for oranges = 6 pictures × 5 votes per picture. Step 4: Perform the multiplication. 6 × 5 = 30. Step 5: State the final answer. So, 30 students voted for oranges.

5. At the school fair, Leo collected 14 tickets for the prize booth. Each ticket can be exchanged for one toy car. The prize booth has a picture graph showing toy cars, where each picture of a toy car represents 2 tickets. How many picture symbols should the graph have to show Leo's total tickets? Answer: 7 Solution: We know Leo has 14 tickets total. Each picture symbol represents 2 tickets. To find how many symbols are needed, divide the total tickets by the number per symbol: 14 ÷ 2 = 7.
   Full step-by-step solution

   Step 1: We know Leo has 14 tickets total. Step 2: Each picture symbol represents 2 tickets. Step 3: To find how many symbols are needed, divide the total tickets by the number per symbol: 14 ÷ 2 = 7. Step 4: The graph should have 7 toy car symbols to show Leo's tickets.

6. Each 🐟 = 7 fish. Isabella's graph shows 12 fish symbols. How many fish does Isabella have? Answer: 84 Solution: Identify the scale: each fish symbol = 7 fish. Count the number of symbols: 12 symbols. Multiply the number of symbols by the scale: 12 × 7 = 84.
   Full step-by-step solution

   Step 1: Identify the scale: each fish symbol = 7 fish. Step 2: Count the number of symbols: 12 symbols. Step 3: Multiply the number of symbols by the scale: 12 × 7 = 84. Step 4: So, Isabella has 84 fish. The answer is 84.

7. The students in Mr. Johnson's class voted for their favorite sport. The results are shown in a scaled picture bar graph where each basketball symbol represents 8 votes. If basketball has 7 symbols, soccer has 5 symbols, and baseball has 4 symbols, how many more students voted for basketball than for soccer? Answer: 16 Solution: Each basketball symbol represents 8 votes.
   Full step-by-step solution

   Step 1: Each basketball symbol represents 8 votes. Step 2: Basketball has 7 symbols, so total basketball votes = 7 × 8 = 56 Step 3: Soccer has 5 symbols, so total soccer votes = 5 × 8 = 40 Step 4: Find the difference: 56 - 40 = 16 So 16 more students voted for basketball than for soccer.