A bag contains 4 red candies and 7 blue candies. Write the ratio of red candies to blue candies.
4 : 7
For this category: ● = pencil, ■ = eraser, ▲ = paper clip. Each symbol represents one item.
A diagram shows ● ● ● ● ■ ■. What is the ratio of pencils to erasers?
4 : 2, or 2 : 1
Complete the equivalent ratio: 2 : 3 = 4 : ___.
6
One batch of cookies uses 3 cups of flour and 1 teaspoon of vanilla. How much of each ingredient is needed for 2 batches?
6 cups flour; 2 tsp vanilla
Green paint uses 2 mL of blue paint and 3 mL of yellow paint. Write the ratio of blue paint to yellow paint.
2 : 3
A collection has 8 squares and 3 circles. Write the ratio of circles to squares.
3 : 8
For this category: ● = pencil, ■ = eraser, ▲ = paper clip. Each symbol represents one item.
A diagram shows ● ● ■ ■ ■ ▲. What is the ratio of erasers to paper clips?
3 : 1
Are 3 : 5 and 9 : 15 equivalent? Explain how you know.
Yes. Multiply both numbers by 3.
A drink recipe uses 2 teaspoons of powder for every 5 cups of water. How many teaspoons of powder are needed for 15 cups of water?
6 tsp powder
Purple paint uses 3 mL of blue paint and 2 mL of red paint. How much of each color is needed to triple the recipe?
9 mL blue; 6 mL red
There are 10 pencils and 5 erasers. Complete the statement using the smallest whole numbers: “For every ___ pencils, there is ___ eraser.”
2 pencils; 1 eraser
For this category: ● = pencil, ■ = eraser, ▲ = paper clip. Each symbol represents one item.
Draw a diagram showing 2 pencils for every 3 erasers, using exactly 10 items.
4 pencils and 6 erasers, drawn
Which ratio is not equivalent to 4 : 6?
A. 8 : 12
B. 12 : 18
C. 16 : 20
C. 16 : 20
One batch of snack mix uses 4 cups of pretzels and 3 cups of cereal. How many batches can you make with 20 cups of pretzels and 15 cups of cereal?
5 batches
Perfect Orange uses 3 mL of red paint and 2 mL of yellow paint. Mia uses 12 mL red and 8 mL yellow. Leo uses 12 mL red and 6 mL yellow. Who makes the same shade as Perfect Orange? Explain.
Mia. Both original amounts were multiplied by 4.
A bowl contains 6 strawberries, 4 grapes, and 2 blueberries. Write the ratio of grapes to strawberries to blueberries.
4 : 6 : 2, or 2 : 3 : 1
For this category: ● = pencil, ■ = eraser, ▲ = paper clip. Each symbol represents one item.
A diagram shows ● ● ● ● ● ● ■ ■ ▲ ▲ ▲ ▲. Write the ratio of pencils to erasers to paper clips using the smallest whole numbers.
3 : 1 : 2
Complete both ratios: 3 : 4 = ___ : 20 = 21 : ___.
15; 28
Drink A contains 3 teaspoons of powder and 6 cups of water. Drink B contains 3 teaspoons of powder and 9 cups of water. Which has the stronger powdered-drink flavor? Explain.
Drink A. It has the same powder in less water.
A green mixture contains 4 mL blue and 6 mL yellow. Another contains 8 mL blue and 6 mL yellow. Will the second mixture be the same shade, bluer, or yellower? Explain.
Bluer. There is more blue for the same yellow amount.
A pencil case contains 12 pencils and 4 erasers. A student says, “There are 3 erasers for every 1 pencil.” Explain the mistake and write the correct statement.
The quantities were reversed: 3 pencils for every 1 eraser.
For this category: ● = pencil, ■ = eraser, ▲ = paper clip. Each symbol represents one item.
There are 2 pencils for every 1 eraser and 3 paper clips for every 1 pencil. Draw one group showing both relationships. Write the ratio of pencils to erasers to paper clips.
Draw 2 pencils, 1 eraser, 6 paper clips. Ratio: 2 : 1 : 6.
A student says 4 : 7 and 8 : 11 are equivalent because they added 4 to both numbers. Is the student correct? Explain and give the equivalent ratio that starts with 8.
No. Multiply both numbers by the same factor. Doubling gives 8 : 14.
A lemonade recipe uses 2 cups of lemon juice for every 3 cups of water. You need 25 cups of lemonade altogether. How many cups of each ingredient should you use?
10 cups lemon juice; 15 cups water
Perfect Purple uses blue and red paint in a 3 : 2 ratio. Your mixture contains 12 mL blue and 10 mL red. You may add only blue paint. How much must you add to make Perfect Purple?
Add 3 mL blue to get 15 : 10, equivalent to 3 : 2.