Scaled Graphs

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Answer Key & Explanations

Scaled Graphs · Grade 3 · Worksheet 2

1. A school is collecting books for their library. Their picture graph shows that each book symbol represents 100 books. If the third grade collected 8 book symbols worth of books, the fourth grade collected 5 book symbols worth, and the fifth grade collected 7 book symbols worth, how many total books did all three grades collect? Answer: 2000 Solution: Each book symbol represents 100 books Third grade: 8 symbols × 100 books each = 800 books Fourth grade: 5 symbols × 100 books each = 500 books Fifth grade: 7 symbols × 100 books each = 700 books Add all grades together: 800 + 500 + 700 = 2000 books The answer is 2000.
   Full step-by-step solution

   Step 1: Each book symbol represents 100 books Step 2: Third grade: 8 symbols × 100 books each = 800 books Step 3: Fourth grade: 5 symbols × 100 books each = 500 books Step 4: Fifth grade: 7 symbols × 100 books each = 700 books Step 5: Add all grades together: 800 + 500 + 700 = 2000 books The answer is 2000.

2. Each ★ = 6 points. Noah has 11 stars. How many points does Noah have? Answer: 66 Solution: Each star represents 6 points. Noah has 11 stars. Multiply the number of stars by the points per star: 11 × 6 = 66.
   Full step-by-step solution

   Step 1: Each star represents 6 points. Step 2: Noah has 11 stars. Step 3: Multiply the number of stars by the points per star: 11 × 6 = 66. Step 4: Noah has 66 points. The answer is 66.

3. Aroha, Tane, and Kaia are collecting canned goods for a food drive. They made a scaled picture bar graph to show how many cans each person collected. Each can picture represents 10 cans. On the graph, Aroha has 9 can pictures, Tane has 12 can pictures, and Kaia has 15 can pictures. How many more cans did Kaia collect than Aroha? Answer: 60 Solution: Find the difference in the number of can pictures between Kaia and Aroha. Kaia has 15 pictures, Aroha has 9 pictures. Difference = 15 - 9 = 6 pictures.
   Full step-by-step solution

   Step 1: Find the difference in the number of can pictures between Kaia and Aroha. Kaia has 15 pictures, Aroha has 9 pictures. Difference = 15 - 9 = 6 pictures. Step 2: Each picture represents 10 cans. So, multiply the difference in pictures by 10: 6 pictures × 10 cans per picture = 60 cans. Step 3: State the final answer. Kaia collected 60 more cans than Aroha.

4. Each 🍪 = 2 cookies. Isabella sold 7 🍪. How many cookies did she sell? Answer: 14 Solution: Each cookie symbol represents 2 cookies. Isabella sold 7 cookie symbols. Multiply: 7 × 2 = 14.
   Full step-by-step solution

   Step 1: Each cookie symbol represents 2 cookies. Step 2: Isabella sold 7 cookie symbols. Step 3: Multiply: 7 × 2 = 14. Isabella sold 14 cookies in total. The answer is 14.

5. (48 ÷ 6) × 15 = ? Answer: 120 Solution: First, solve the division inside the parentheses: 48 ÷ 6 = 8 Now multiply the result by 15: 8 × 15 Calculate 8 × 15 = 120 The answer is 120.
   Full step-by-step solution

   Step 1: First, solve the division inside the parentheses: 48 ÷ 6 = 8 Step 2: Now multiply the result by 15: 8 × 15 Step 3: Calculate 8 × 15 = 120 The answer is 120.

6. Each ★ = 10 points. Charlotte has 9 stars. How many points does she have? Answer: 90 Solution: Each star represents 10 points. Charlotte has 9 stars. To find the total points, multiply the number of stars by the points per star: 9 × 10 = 90.
   Full step-by-step solution

   Step 1: Each star represents 10 points. Step 2: Charlotte has 9 stars. Step 3: To find the total points, multiply the number of stars by the points per star: 9 × 10 = 90. The answer is 90.

7. The third grade students at Oakwood Elementary voted for their favorite school subject. The results are shown in a scaled picture bar graph where each book symbol represents 8 votes. Math has 5 book symbols, Science has 4 book symbols, Reading has 6 book symbols, and Art has 3 book symbols. How many more students voted for Reading than for Science? Answer: 16 Solution: Each book symbol represents 8 votes, and Reading has 6 symbols 6 × 8 = 48 students voted for Reading Each book symbol represents 8 votes, and Science has 4 symbols 4 × 8 = 32 students voted for Science Find the difference between Reading and Science votes 48 - 32 = 16 The answer is 16 more…
   Full step-by-step solution

   Step 1: Find how many students voted for Reading Each book symbol represents 8 votes, and Reading has 6 symbols 6 × 8 = 48 students voted for Reading Step 2: Find how many students voted for Science Each book symbol represents 8 votes, and Science has 4 symbols 4 × 8 = 32 students voted for Science Step 3: Find the difference between Reading and Science votes 48 - 32 = 16 The answer is 16 more students voted for Reading than for Science.

8. A scaled picture bar graph shows the number of toy cars collected by four friends. Each car picture represents 25 cars. The graph shows: Alex has 8 car pictures, Ben has 5 car pictures, Chloe has 7 car pictures, and Daniel has 6 car pictures. How many more toy cars does Alex have than Ben? Answer: 75 Solution: Find the difference in the number of car pictures between Alex and Ben. Alex has 8 car pictures, Ben has 5 car pictures. 8 - 5 = 3 Alex has 3 more car pictures than Ben.
   Full step-by-step solution

   Step 1: Find the difference in the number of car pictures between Alex and Ben. Alex has 8 car pictures, Ben has 5 car pictures. 8 - 5 = 3 Alex has 3 more car pictures than Ben. Step 2: Calculate how many actual cars this difference represents. Each car picture represents 25 cars. 3 pictures * 25 cars per picture = 75 cars. Step 3: State the final answer. Alex has 75 more toy cars than Ben.