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Scaled Graphs

Grade 3 · Statistics · Worksheet 1

  1. Each ★ = 10 points. Emma has 6 stars. How many points does Emma have? Answer: ______________
  2. 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: ______________
  3. (75 ÷ 5) × 8 = ? Answer: ______________
  4. A scaled picture bar graph shows the number of books read by four classes during a reading challenge. Each book picture represents 25 books. The graph shows: Class 3A has 8 book pictures, Class 3B has 5 book pictures, Class 3C has 7 book pictures, and Class 3D has 6 book pictures. How many more books did Class 3A read than Class 3B? Answer: ______________
  5. 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 7 book symbols, and Reading has 4 book symbols. How many more students voted for Science than for Reading? Answer: ______________
  6. Each ★ = 10 points. Hana has 7 stars. Matiu has 4 stars. How many more points does Hana have than Matiu? Answer: ______________
  7. Each 🐟 = 7 fish. Isabella's graph shows 12 fish symbols. How many fish does Isabella have? Answer: ______________
  8. The students in Mrs. Chen's class voted for their favorite fruit. The results are shown in a scaled picture bar graph where each fruit picture represents 5 votes. If apples have 4 pictures, bananas have 3 pictures, and oranges have 6 pictures, how many total votes were cast in the class election? Answer: ______________
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Answer Key & Explanations

Scaled Graphs · Grade 3 · Worksheet 1

  1. Each ★ = 10 points. Emma has 6 stars. How many points does Emma have? Answer: 60 Solution: Each star represents 10 points. Emma has 6 stars. To find the total points, multiply the number of stars by the points per star: 6 × 10 = 60.
    Full step-by-step solution

    Step 1: Each star represents 10 points. Step 2: Emma has 6 stars. Step 3: To find the total points, multiply the number of stars by the points per star: 6 × 10 = 60. The answer is 60.

  2. 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.

  3. (75 ÷ 5) × 8 = ? Answer: 120 Solution: First, solve the division inside the parentheses: 75 ÷ 5 = 15 Now multiply the result by 8: 15 × 8 = 120 The answer is 120.
    Full step-by-step solution

    Step 1: First, solve the division inside the parentheses: 75 ÷ 5 = 15 Step 2: Now multiply the result by 8: 15 × 8 = 120 The answer is 120.

  4. A scaled picture bar graph shows the number of books read by four classes during a reading challenge. Each book picture represents 25 books. The graph shows: Class 3A has 8 book pictures, Class 3B has 5 book pictures, Class 3C has 7 book pictures, and Class 3D has 6 book pictures. How many more books did Class 3A read than Class 3B? Answer: 75 Solution: Find how many books Class 3A read. Each book picture represents 25 books, and Class 3A has 8 book pictures. So, 8 × 25 = 200 books.
    Full step-by-step solution

    Step 1: Find how many books Class 3A read. Each book picture represents 25 books, and Class 3A has 8 book pictures. So, 8 × 25 = 200 books. Step 2: Find how many books Class 3B read. Each book picture represents 25 books, and Class 3B has 5 book pictures. So, 5 × 25 = 125 books. Step 3: Find the difference between Class 3A's books and Class 3B's books. 200 - 125 = 75 books. The answer is 75.

  5. 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 7 book symbols, and Reading has 4 book symbols. How many more students voted for Science than for Reading? Answer: 24 Solution: Each book symbol represents 8 votes and Science has 7 symbols 7 × 8 = 56 students voted for Science Each book symbol represents 8 votes and Reading has 4 symbols 4 × 8 = 32 students voted for Reading Find the difference between Science and Reading votes 56 - 32 = 24 The answer is 24 more…
    Full step-by-step solution

    Step 1: Find how many students voted for Science Each book symbol represents 8 votes and Science has 7 symbols 7 × 8 = 56 students voted for Science Step 2: Find how many students voted for Reading Each book symbol represents 8 votes and Reading has 4 symbols 4 × 8 = 32 students voted for Reading Step 3: Find the difference between Science and Reading votes 56 - 32 = 24 The answer is 24 more students voted for Science than for Reading.

  6. Each ★ = 10 points. Hana has 7 stars. Matiu has 4 stars. How many more points does Hana have than Matiu? Answer: 30 Solution: Hana's points: 7 stars × 10 points per star = 70 points. Matiu's points: 4 stars × 10 points per star = 40 points. Difference: 70 − 40 = 30 points.
    Full step-by-step solution

    Step 1: Hana's points: 7 stars × 10 points per star = 70 points. Step 2: Matiu's points: 4 stars × 10 points per star = 40 points. Step 3: Difference: 70 − 40 = 30 points. The answer is 30.

  7. 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.

  8. The students in Mrs. Chen's class voted for their favorite fruit. The results are shown in a scaled picture bar graph where each fruit picture represents 5 votes. If apples have 4 pictures, bananas have 3 pictures, and oranges have 6 pictures, how many total votes were cast in the class election? Answer: 65 Solution: Each fruit picture represents 5 votes. Find the number of votes for apples. Apples have 4 pictures.
    Full step-by-step solution

    Let's solve this step by step. Step 1: Understand the bar graph scale. Each fruit picture represents 5 votes. Step 2: Find the number of votes for apples. Apples have 4 pictures. So, votes for apples = 4 × 5 = 20 votes. Step 3: Find the number of votes for bananas. Bananas have 3 pictures. So, votes for bananas = 3 × 5 = 15 votes. Step 4: Find the number of votes for oranges. Oranges have 6 pictures. So, votes for oranges = 6 × 5 = 30 votes. Step 5: Add all votes together. Total votes = votes for apples + votes for bananas + votes for oranges Total votes = 20 + 15 + 30 Total votes = 65. So, the total number of votes cast in the class election is 65.