In this Grade 5 hard-2 worksheet, students apply ratios to sports statistics, paint mixing, and classroom counts that come straight from real life. They simplify part-to-part ratios, compute part-to-whole ratios, and find missing values when one quantity is given inside a multi-step word problem. These problems require dividing totals into equal parts, preparing learners for proportional reasoning, scale drawings, and percent work in upcoming sixth-grade lessons.
Style:
Ratios Introduction
Part A: Multiple Choice
Circle the best answer for each question.
1. A soccer team won 8 games and lost 12 games. What is the simplest part-to-part ratio of wins to losses?
A) 2:3
B) 3:2
C) 8:20
D) 4:6
2. A box has 6 apples and 9 oranges. What is the part-to-whole ratio of apples to all fruit in simplest form?
A) 6:9
B) 2:5
C) 3:5
D) 2:3
3. Paint mixes red and yellow in a 4:5 ratio. If you use 20 cups of yellow, how many cups of red do you need?
A) 15
B) 20
C) 16
D) 25
4. In a class of 35, the ratio of boys to girls is 3:4. How many girls are in the class?
A) 15
B) 21
C) 14
D) 20
Part B: Fill in the Blank
Write the correct answer on each line.
1. A team plays 7 home games and 5 away games; the part-to-part ratio of home to away is 7:5.
2. A paint mix uses 3:7 red to white; for 21 cups white, you need 9 cups red.
3. A bag has 4 black and 6 white balls; the part-to-whole ratio of black to all in simplest form is 2:5.
4. In a class of 24, the ratio of boys to girls is 1:2; the number of girls is 16.
5. If a recipe uses sugar and flour in a 2:5 ratio and you use 20 cups flour, you need 8 cups sugar.
Ratios Introduction
★ Part A: Multiple Choice
Circle the best answer for each question.
1. A soccer team won 8 games and lost 12 games. What is the simplest part-to-part ratio of wins to losses?
A) 2:3
B) 3:2
C) 8:20
D) 4:6
2. A box has 6 apples and 9 oranges. What is the part-to-whole ratio of apples to all fruit in simplest form?
A) 6:9
B) 2:5
C) 3:5
D) 2:3
3. Paint mixes red and yellow in a 4:5 ratio. If you use 20 cups of yellow, how many cups of red do you need?
A) 15
B) 20
C) 16
D) 25
4. In a class of 35, the ratio of boys to girls is 3:4. How many girls are in the class?
A) 15
B) 21
C) 14
D) 20
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) A team plays 7 home games and 5 away games; the part-to-part ratio of home to away is 7:5.
2) A paint mix uses 3:7 red to white; for 21 cups white, you need 9 cups red.
3) A bag has 4 black and 6 white balls; the part-to-whole ratio of black to all in simplest form is 2:5.
4) In a class of 24, the ratio of boys to girls is 1:2; the number of girls is 16.
5) If a recipe uses sugar and flour in a 2:5 ratio and you use 20 cups flour, you need 8 cups sugar.
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9 Questions
12-18 minutes
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