Testinar Grade 6 math

What Is a Ratio?

Students will build Grade 6 mastery of what is a ratio? using models, equations, and test-style reasoning.

CH01-01 Ratios, Rates, and Percents

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

A fruit basket contains \(6\) apples and \(4\) oranges. What is the ratio of apples to oranges in simplest form?
1. \(6:4\)
2. \(2:3\)
3. \(4:6\)
4. \(3:2\)
A classroom has \(8\) boys and \(10\) girls. Write the ratio of boys to girls in the form "\(a\) to \(b\)".
1. \(10\) to \(8\)
2. \(18\) to \(8\)
3. \(8\) to \(18\)
4. \(8\) to \(10\)
Which ratio is equivalent to \(5:15\)?
1. \(1:2\)
2. \(5:10\)
3. \(10:30\)
4. \(1:3\)
A recipe calls for \(2\) cups of flour for every \(3\) cups of sugar. Which fraction represents the ratio of flour to the total amount of flour and sugar?
1. \(\frac{2}{3}\)
2. \(\frac{3}{5}\)
3. \(\frac{2}{5}\)
4. \(\frac{3}{2}\)
The ratio bar shows red and blue sections. What is the ratio of red to blue?
1. \(5:2\)
2. \(3:2\)
3. \(2:5\)
4. \(2:3\)
A soccer team wins \(12\) games and loses \(4\) games. In simplest form, what is the ratio of wins to total games?
1. \(4:3\)
2. \(12:16\)
3. \(3:1\)
4. \(3:4\)
Which of the following ratios is in simplest form?
1. \(8:12\)
2. \(6:9\)
3. \(10:15\)
4. \(5:7\)
A punch recipe mixes \(1\) part juice with \(4\) parts water. If you use \(8\) cups of juice, how much water should you use?
1. \(2\) cups
2. \(12\) cups
3. \(32\) cups
4. \(4\) cups

Teacher and parent reference

Answer key and explanations

D. \(3:2\)
Great start: keep the order the same, apples first and oranges second. Both \(6\) and \(4\) can be divided by \(2\), so \(6:4\) becomes \(3:2\).
D. \(8\) to \(10\)
Read the words carefully: "boys to girls" means the boys number comes first. There are \(8\) boys and \(10\) girls, so the ratio is \(8\) to \(10\).
D. \(1:3\)
A helpful way to check is to simplify. Divide both parts of \(5:15\) by \(5\): \(\frac{5}{5}:\frac{15}{5}=1:3\).
C. \(\frac{2}{5}\)
First find the total amount of flour and sugar: \(2+3=5\) cups. Flour is \(2\) of those \(5\) cups, so the ratio is \(\frac{2}{5}\).
D. \(2:3\)
Look at the lengths in the bar: red takes \(2\) equal units and blue takes \(3\) equal units. Red to blue is \(2:3\).
D. \(3:4\)
Do not compare wins to losses here; the question asks for wins to total games. The total is \(12+4=16\), and \(12:16\) simplifies to \(3:4\).
D. \(5:7\)
A ratio is in simplest form when the two numbers have no common factor greater than \(1\). The numbers \(5\) and \(7\) share no common factor except \(1\), so \(5:7\) is already simplified.
C. \(32\) cups
Use the ratio as a recipe: for every \(1\) cup of juice, there are \(4\) cups of water. With \(8\) cups of juice, multiply \(8 \times 4=32\) cups of water.