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Scaled Graphs

Grade 3 · Statistics · Worksheet 3

  1. 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: ______________
  2. For a science project, Tane is counting the number of ladybugs in the garden. Tane found 48 ladybugs. To make a picture graph, each ladybug symbol will stand for 2 real ladybugs. How many ladybug symbols should Tane draw? Answer: ______________
  3. Liam is tracking how many books the class reads each week. In week 1, the class read 80 books. Liam wants to make a bar graph where each square represents 5 books. How many squares tall should the bar for week 1 be? Answer: ______________
  4. Each ★ = 10 points. Hana has 7 stars. Matiu has 4 stars. How many more points does Hana have than Matiu? Answer: ______________
  5. The students in Mr. Johnson's class voted for their favorite school subject. The scaled picture bar graph shows 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. Emma has 6 stars. How many points does Emma have? Answer: ______________
  7. The students in Ms. Chen's class voted for their favorite type of book. The results are shown in a scaled picture bar graph where each picture of a book represents 4 votes. If the Mystery bar has 5 book pictures and the Fantasy bar has 3 book pictures, how many more students voted for Mystery books than for Fantasy books? Answer: ______________
  8. A scaled picture bar graph shows the number of apples sold by three students at a school fair. Each apple picture represents 8 apples. Maria's row has 5 apple pictures, David's row has 7 apple pictures, and Chloe's row has 4 apple pictures. How many apples did they sell altogether? Answer: ______________
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Answer Key & Explanations

Scaled Graphs · Grade 3 · Worksheet 3

  1. 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.

  2. For a science project, Tane is counting the number of ladybugs in the garden. Tane found 48 ladybugs. To make a picture graph, each ladybug symbol will stand for 2 real ladybugs. How many ladybug symbols should Tane draw? Answer: 24 Solution: Tane found 48 ladybugs in total. Each picture symbol stands for 2 real ladybugs. Divide the total ladybugs by the number per symbol: 48 ÷ 2 = 24.
    Full step-by-step solution

    Step 1: Tane found 48 ladybugs in total. Step 2: Each picture symbol stands for 2 real ladybugs. Step 3: Divide the total ladybugs by the number per symbol: 48 ÷ 2 = 24. Step 4: Tane should draw 24 ladybug symbols.

  3. Liam is tracking how many books the class reads each week. In week 1, the class read 80 books. Liam wants to make a bar graph where each square represents 5 books. How many squares tall should the bar for week 1 be? Answer: 16 Solution: The class read 80 books in week 1. Each square in the graph represents 5 books. Divide the total books by the number each square shows: 80 ÷ 5 = 16.
    Full step-by-step solution

    Step 1: The class read 80 books in week 1. Step 2: Each square in the graph represents 5 books. Step 3: Divide the total books by the number each square shows: 80 ÷ 5 = 16. Step 4: The bar for week 1 should be 16 squares tall.

  4. 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.

  5. The students in Mr. Johnson's class voted for their favorite school subject. The scaled picture bar graph shows 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. 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.

  7. The students in Ms. Chen's class voted for their favorite type of book. The results are shown in a scaled picture bar graph where each picture of a book represents 4 votes. If the Mystery bar has 5 book pictures and the Fantasy bar has 3 book pictures, how many more students voted for Mystery books than for Fantasy books? Answer: 8 Solution: Each picture of a book represents 4 votes. Find the number of votes for Mystery books. The Mystery bar has 5 book pictures.
    Full step-by-step solution

    Step 1: Understand the bar graph scale. Each picture of a book represents 4 votes. Step 2: Find the number of votes for Mystery books. The Mystery bar has 5 book pictures. So, votes for Mystery = 5 × 4 = 20. Step 3: Find the number of votes for Fantasy books. The Fantasy bar has 3 book pictures. So, votes for Fantasy = 3 × 4 = 12. Step 4: Find how many more students voted for Mystery than Fantasy. Difference = Votes for Mystery − Votes for Fantasy Difference = 20 − 12 = 8. Step 5: Conclusion. 8 more students voted for Mystery books than for Fantasy books.

  8. A scaled picture bar graph shows the number of apples sold by three students at a school fair. Each apple picture represents 8 apples. Maria's row has 5 apple pictures, David's row has 7 apple pictures, and Chloe's row has 4 apple pictures. How many apples did they sell altogether? Answer: 128 Solution: Find how many apples Maria sold: 5 pictures × 8 apples/picture = 40 apples Find how many apples David sold: 7 pictures × 8 apples/picture = 56 apples Find how many apples Chloe sold: 4 pictures × 8 apples/picture = 32 apples Add all the apples together: 40 + 56 + 32 Calculate 40 + 56 = 96, then…
    Full step-by-step solution

    Step 1: Find how many apples Maria sold: 5 pictures × 8 apples/picture = 40 apples Step 2: Find how many apples David sold: 7 pictures × 8 apples/picture = 56 apples Step 3: Find how many apples Chloe sold: 4 pictures × 8 apples/picture = 32 apples Step 4: Add all the apples together: 40 + 56 + 32 Step 5: Calculate 40 + 56 = 96, then 96 + 32 = 128 The answer is 128 apples.