Ratios and Proportional Relationships: Understanding Ratios and Ratio Language (CCSS.6.RP.1)
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Common Core 6th Grade Math › Ratios and Proportional Relationships: Understanding Ratios and Ratio Language (CCSS.6.RP.1)
In an aquarium display, there are 10 small fish and 15 big fish swimming in two groups.
What is the ratio of small fish to big fish?
10:15
15:10
25
10:25
Explanation
Small to big means small first: \$10:15$. \$15:10$ reverses the order, 25 is the total fish, and \$10:25$ is small to all fish (part-to-whole).
On a school bus, there are 4 red backpacks and 7 blue backpacks on the seats.
What is the ratio of blue backpacks to red backpacks?
4:7
11
7:11
7:4
Explanation
Blue to red means blue first: \$7:4$. \$4:7$ reverses the order, 11 is the total backpacks, and \$7:11$ is blue to all backpacks (part-to-whole).
A fruit basket has 6 apples and 9 oranges arranged on a table.
What is the ratio of apples to oranges?
9:6
6:9
15
6:15
Explanation
Apples come first: apples to oranges is \$6:9$. \$9:6$ reverses the order, 15 is the total pieces of fruit, and \$6:15$ is apples to all fruit (part-to-whole), not what was asked.
On a hike, Mia took 2 steps for every 1 stride Dan took.
What is the ratio of Mia's steps to Dan's strides?
1:2
2:3
3
2:1
Explanation
Mia's steps are first, then Dan's strides: 2:1. 1:2 reverses the order, 3 adds the parts, and 2:3 mixes part-to-part with part-to-whole.
A shelter has 12 dogs and 16 cats. What is the ratio of cats to dogs?
12:16
28
16:12
16:28
Explanation
Cats to dogs means 16 to 12, so 16:12. 12:16 reverses the order, 28 is the total, and 16:28 compares cats to the total animals.
A cookie tray holds 10 chocolate chip cookies and 15 sugar cookies.
What is the ratio of chocolate chip cookies to sugar cookies?
15:10
25
10:15
10:25
Explanation
Chocolate chip to sugar means chocolate chip first. There are 10 chocolate chip and 15 sugar cookies, so the ratio is 10:15. 15:10 reverses the order, 25 is the total cookies, and 10:25 is chocolate chip to total, not to sugar.
A supply box has 12 markers and 16 crayons. What is the ratio of crayons to markers?
16:12
12:16
16:28
28
Explanation
Crayons to markers means crayons first. There are 16 crayons and 12 markers, so the ratio is 16:12. 12:16 reverses the order, 16:28 compares crayons to the total, and 28 is the sum.
In a fruit bowl, there are 2 apples for every 3 oranges. What is the ratio of apples to oranges?
2:3
3:2
5
2:5
Explanation
The order matters: apples to oranges is 2 to 3, so 2:3. The choice 3:2 reverses the order, 5 is the sum, and 2:5 is part-to-whole, not part-to-part.
At a fruit stand, there are 2 apples for every 3 oranges. What is the ratio of apples to oranges?
2:3
3:2
5
2:5
Explanation
Apples to oranges means apples first, oranges second: 2 to 3. 3:2 is reversed, 5 is the sum, and 2:5 is apples to the total.
A recipe uses 2 cups of sugar and 5 cups of flour. What is the ratio of sugar to flour?
2:5
5:2
7
2:7
Explanation
Sugar to flour means sugar first. There are 2 cups sugar and 5 cups flour, so 2:5. 5:2 reverses the order, 7 is the total cups, and 2:7 is sugar to all ingredients combined.