Ratios in Context

  • 6th Grade
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| By Thames
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Thames
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Quizzes Created: 7387 | Total Attempts: 9,527,791
| Questions: 15 | Updated: Nov 12, 2025
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1) A school has 45 boys and 60 girls. What is the simplified ratio of boys to girls?

Explanation

Divide both by 15 → 45 ÷ 15 = 3, 60 ÷ 15 = 4.

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About This Quiz
Ratios In Context - Quiz

Ratios aren’t just numbers — they show up everywhere in recipes, sports scores, and even maps! In this quiz, you’ll apply ratio simplification to multi-digit numbers and real-world word problems. Try this quiz to see how ratios help compare and solve everyday situations.

2) A box contains 20 blue pens and 50 black pens. Simplify the ratio of blue to black pens.

Explanation

Divide both by 10 → 20 ÷ 10 = 2, 50 ÷ 10 = 5.

Submit
3) The ratio of 150:200 simplifies to 3:4.

Explanation

Divide both by 50 → 150 ÷ 50 = 3, 200 ÷ 50 = 4.

Submit
4) In a fruit basket, there are 36 apples and 48 oranges. What is the simplified ratio of apples to oranges?

Explanation

Divide both by 12 → 36 ÷ 12 = 3, 48 ÷ 12 = 4.

Submit
5) A sports team has 18 wins and 12 losses. Simplify the ratio of wins to losses.

Explanation

Divide both by 6 → 18 ÷ 6 = 3, 12 ÷ 6 = 2.

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6) Which of the following ratios is equivalent to 5:8?

Explanation

All are multiples of 5:8.

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7) The cost of 6 pencils is $12, and the cost of 8 pens is $32. What is the simplified ratio of the cost of one pencil to one pen?

Explanation

Pencil = $2 each, Pen = $4 each → ratio 2:4 = 1:2 = 3:8 when scaled.

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8) Simplify the ratio 84:126.

Explanation

Divide both by 42 → 84 ÷ 42 = 2, 126 ÷ 42 = 3.

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9) The ratio of 28:35 is the same as 4:5.

Explanation

Divide both by 7 → 28 ÷ 7 = 4, 35 ÷ 7 = 5.

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10) In a class, the ratio of boys to girls is 5:7. If there are 35 girls, how many boys are there?

Explanation

Ratio 5:7, girls = 35 → each part = 5. Boys = 5 × 5 = 25.

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11) A recipe uses 300 g of flour and 500 g of sugar. Simplify the ratio of flour to sugar.

Explanation

Divide both by 100 → 300 ÷ 100 = 3, 500 ÷ 100 = 5.

Submit
12) Simplify the ratio 63:81.

Explanation

Divide both by 9 → 63 ÷ 9 = 7, 81 ÷ 9 = 9.

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13) 12:20 is equivalent to 3:5.

Explanation

Divide both by 4 → 12 ÷ 4 = 3, 20 ÷ 4 = 5.

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14) A train travels 120 km in 3 hours. Simplify the ratio of distance to time.

Explanation

120 ÷ 3 = 40. Ratio = 40:1.

Submit
15) Simplify the ratio 144:180.

Explanation

Divide both by 36 → 144 ÷ 36 = 4, 180 ÷ 36 = 5.

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A school has 45 boys and 60 girls. What is the simplified ratio of...
A box contains 20 blue pens and 50 black pens. Simplify the ratio of...
The ratio of 150:200 simplifies to 3:4.
In a fruit basket, there are 36 apples and 48 oranges. What is the...
A sports team has 18 wins and 12 losses. Simplify the ratio of wins to...
Which of the following ratios is equivalent to 5:8?
The cost of 6 pencils is $12, and the cost of 8 pens is $32. What is...
Simplify the ratio 84:126.
The ratio of 28:35 is the same as 4:5.
In a class, the ratio of boys to girls is 5:7. If there are 35 girls,...
A recipe uses 300 g of flour and 500 g of sugar. Simplify the ratio of...
Simplify the ratio 63:81.
12:20 is equivalent to 3:5.
A train travels 120 km in 3 hours. Simplify the ratio of distance to...
Simplify the ratio 144:180.
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