6th Grade Ratios and Ratio Language Quiz: 10 Questions with Explanations

A \(5:3\)B \(3:5\)C \(5:8\)D \(3:8\)

Triangles come first, so \(5:3\). Reversing the order gives \(3:5\), which is a different ratio.

A \(4:3\)B \(6:4\)C \(8:10\)D \(2:3\)

Divide both numbers by 2 to get \(2:3\). Adding 4 to both numbers (\(8:10\)) does not keep the ratio.

A \(7:9\)B \(9:16\)C \(7:2\)D \(7:16\)

This is part to whole: 7 red out of \(7 + 9 = 16\) marbles. The ratio \(7:9\) is part to part.

A \(4:10\)B \(2:5\)C \(8:20\)D \(1:2\)

The GCF of 16 and 40 is 8, so \(16:40\) = \(2:5\). The others can still be simplified or are not equivalent.

A 9B 16C 12D 21

Each group has \(3 + 4 = 7\) animals, and \(28 \div 7 = 4\) groups, so \(3 \times 4 = 12\) dogs. A common mistake is using \(28 \div 4\).

A 4B 25C 12D 17

\(10 \div 2 = 5\) batches, so \(5 \times 5 = 25\) cups of water. Adding 8 to both numbers (17) is a common mistake.

A B: the first bar has 3 parts and the second has 2B A: the first bar has 2 parts and the second has 3C Neither oneD Both of them

In the ratio 2 to 3 the first quantity has 2 parts and the second has 3.

A \(3:5\) and \(12:20\)B \(3:5\) and \(6:8\)C \(2:3\) and \(4:5\)D \(1:4\) and \(2:6\)

\(3:5\) multiplied by 4 gives \(12:20\). In \(6:8\) only the first number doubled and the second added 3.

A \(3:2\)B \(6:4\)C \(2:3\)D \(3:5\)

\(6:4\) simplifies to \(3:2\). The order wins to losses must stay the same.

A 12 cupsB 11 cupsC 15 cupsD 20 cups

\(10 \div 2 = 5\), and \(3 \times 5 = 15\) cups. Adding 8 to the 3 (11) changes the ratio.