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Scaled Graphs

Grade 3 · Statistics · Worksheet 2

  1. A scaled picture bar graph shows the number of books read by students in a class. Each book picture represents 5 books. If Sarah's row has 6 book pictures and Michael's row has 4 book pictures, how many more books did Sarah read than Michael? Answer: ______________
  2. 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: ______________
  3. 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: ______________
  4. Each ★ = 10 points. Isabella has 9 stars. How many points does she have? Answer: ______________
  5. (72 ÷ 8) × 25 = ? Answer: ______________
  6. (48 ÷ 6) × 15 = ? Answer: ______________
  7. (64 ÷ 8) × 25 = ? Answer: ______________
  8. A scaled picture bar graph shows the number of books read by students in a reading challenge. Each book picture represents 25 books. The graph shows: Emma has 8 book pictures, Noah has 5 book pictures, and Sophia has 7 book pictures. How many more books did Emma read than Noah? Answer: ______________
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Answer Key & Explanations

Scaled Graphs · Grade 3 · Worksheet 2

  1. A scaled picture bar graph shows the number of books read by students in a class. Each book picture represents 5 books. If Sarah's row has 6 book pictures and Michael's row has 4 book pictures, how many more books did Sarah read than Michael? Answer: 10 Solution: Each book picture represents 5 books. Find the number of books Sarah read. Sarah's row has 6 book pictures.
    Full step-by-step solution

    Step 1: Understand the scale of the graph. Each book picture represents 5 books. Step 2: Find the number of books Sarah read. Sarah's row has 6 book pictures. So, Sarah's books = 6 × 5 = 30 books. Step 3: Find the number of books Michael read. Michael's row has 4 book pictures. So, Michael's books = 4 × 5 = 20 books. Step 4: Find how many more books Sarah read than Michael. Difference = Sarah's books − Michael's books Difference = 30 − 20 = 10 books. Answer: Sarah read 10 more books than Michael.

  2. 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.

  3. 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.

  4. Each ★ = 10 points. Isabella has 9 stars. How many points does she have? Answer: 90 Solution: Each star represents 10 points. Isabella has 9 stars. 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: Isabella has 9 stars. Step 3: Multiply the number of stars by the points per star: 9 × 10 = 90. The answer is 90 points.

  5. (72 ÷ 8) × 25 = ? Answer: 225 Solution: Calculate the division inside the parentheses: 72 ÷ 8 = 9 Multiply the result by 25: 9 × 25 = 225 The answer is 225.
    Full step-by-step solution

    Step 1: Calculate the division inside the parentheses: 72 ÷ 8 = 9 Step 2: Multiply the result by 25: 9 × 25 = 225 The answer is 225.

  6. (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.

  7. (64 ÷ 8) × 25 = ? Answer: 200 Solution: First, solve the division inside the parentheses: 64 ÷ 8 = 8 Now multiply the result by 25: 8 × 25 = 200 The answer is 200.
    Full step-by-step solution

    Step 1: First, solve the division inside the parentheses: 64 ÷ 8 = 8 Step 2: Now multiply the result by 25: 8 × 25 = 200 The answer is 200.

  8. A scaled picture bar graph shows the number of books read by students in a reading challenge. Each book picture represents 25 books. The graph shows: Emma has 8 book pictures, Noah has 5 book pictures, and Sophia has 7 book pictures. How many more books did Emma read than Noah? Answer: 75 Solution: Find how many books Emma read: 8 pictures × 25 books/picture = 200 books Find how many books Noah read: 5 pictures × 25 books/picture = 125 books Find the difference: 200 books - 125 books = 75 books The answer is 75.
    Full step-by-step solution

    Step 1: Find how many books Emma read: 8 pictures × 25 books/picture = 200 books Step 2: Find how many books Noah read: 5 pictures × 25 books/picture = 125 books Step 3: Find the difference: 200 books - 125 books = 75 books The answer is 75.