Question

ratios and percent's unit test

Answers

GPT-4o mini
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: _________________________**

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### Section 1: Ratios

1. **Simplifying Ratios**
Simplify the ratio \( 24 : 16 \).

**Answer: __________**

2. **Writing Ratios**
A class has 12 boys and 8 girls. Write the ratio of boys to girls in simplest form.

**Answer: __________**

3. **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: __________**

4. **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: __________**

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### Section 2: Percentages

5. **Finding a Percentage**
What is 25% of 200?

**Answer: __________**

6. **Converting Fractions to Percentages**
Convert the fraction \( \frac{3}{8} \) to a percentage.

**Answer: __________**

7. **Finding Total from Percentage**
If 30% of a number is 45, what is the number?

**Answer: __________**

8. **Percentage Increase**
A shirt originally costs $40 and is now on sale for $30. What is the percentage decrease in price?

**Answer: __________**

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### Section 3: Mixed Problems

9. **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: __________**

10. **Percentage of a Ratio**
In a survey, 60% of respondents prefer coffee over tea. If 240 people were surveyed, how many preferred coffee?

**Answer: __________**

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### Answer Key:

1. **Answer:** \( 3 : 2 \)
2. **Answer:** \( 3 : 2 \)
3. **Answer:** \( 16 \) dogs
4. **Answer:** \( 15 \) oranges
5. **Answer:** \( 50 \)
6. **Answer:** \( 37.5\% \)
7. **Answer:** \( 150 \)
8. **Answer:** \( 25\% \)
9. **Answer:** \( 100 \) grams of sugar
10. **Answer:** \( 144 \) people

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Feel free to adjust the numbers or questions according to the difficulty level or specific curriculum requirements!

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