Creating a unit test on ratios and percents can help assess understanding in these areas. Below is a sample test with multiple types of questions to evaluate knowledge on ratios and percentages. Answer keys are provided at the end.
Ratios and Percents Unit Test
Name: ________________________
Date: _________________________
Section 1: Ratios
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Simplifying Ratios
Simplify the ratio \( 24 : 16 \).Answer: __________
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Writing Ratios
A class has 12 boys and 8 girls. Write the ratio of boys to girls in simplest form.Answer: __________
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Finding Missing Values in Ratios
The ratio of cats to dogs in a shelter is 3:4. If there are 12 cats, how many dogs are there?Answer: __________
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Ratio Problem Solving
In a fruit basket, the ratio of apples to oranges is 5:3. If there are 25 apples, how many oranges are there?Answer: __________
Section 2: Percentages
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Finding a Percentage
What is 25% of 200?Answer: __________
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Converting Fractions to Percentages
Convert the fraction \( \frac{3}{8} \) to a percentage.Answer: __________
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Finding Total from Percentage
If 30% of a number is 45, what is the number?Answer: __________
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Percentage Increase
A shirt originally costs $40 and is now on sale for $30. What is the percentage decrease in price?Answer: __________
Section 3: Mixed Problems
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Mixing Ratios and Percentages
A recipe requires a ratio of 2:1 for flour to sugar. If the total weight of the flour and sugar in the recipe is 300 grams, how much sugar is needed?Answer: __________
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Percentage of a Ratio
In a survey, 60% of respondents prefer coffee over tea. If 240 people were surveyed, how many preferred coffee?
Answer: __________
Answer Key:
- Answer: \( 3 : 2 \)
- Answer: \( 3 : 2 \)
- Answer: \( 16 \) dogs
- Answer: \( 15 \) oranges
- Answer: \( 50 \)
- Answer: \( 37.5% \)
- Answer: \( 150 \)
- Answer: \( 25% \)
- Answer: \( 100 \) grams of sugar
- Answer: \( 144 \) people
Feel free to adjust the numbers or questions according to the difficulty level or specific curriculum requirements!
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