In Year 7, students typically learn to compare and order fractions, decimals, and percentages, as well as to convert between these forms of representation. They may also learn to use these concepts in real-world contexts, such as calculating discounts or understanding the relationship between different quantities. Here is a brief overview of each of these concepts:

• Fractions: A fraction is a way of representing a part of a whole. For example, the fraction “1/2” represents 1 part out of a total of 2 parts. Fractions can also represent parts of a whole that are not evenly divided, such as 3/4, which represents 3 parts out of a total of 4 parts.
• Decimals: A decimal is a way of representing a number as a fraction with a denominator of 10, 100, 1000, etc. For example, the decimal 0.5 represents the fraction 1/2, and the decimal 0.25 represents the fraction 1/4.
• Percentages: A percentage is a way of representing a number as a fraction with a denominator of 100. For example, 50% represents the fraction 50/100, or 1/2. Percentages are often used to express how much of something has been completed or how much of something there is in comparison to the whole.

### Sample Test Questions

Some sample test questions for Year 7 students learning about fractions, decimals, and percentages:

1. Which fraction is equivalent to the decimal 0.75?
• A) 3/4
• B) 5/6
• C) 7/8
• D) 9/10
2. Which decimal is equivalent to the fraction 3/8?
• A) 0.375
• B) 0.45
• C) 0.75
• D) 0.825
3. Which percentage is equivalent to the fraction 5/8?
• A) 37.5%
• B) 62.5%
• C) 75%
• D) 87.5%
4. Order the following numbers from least to greatest: 1/3, 0.33, 33.3%
• A) 33.3%, 0.33, 1/3
• B) 1/3, 0.33, 33.3%
• C) 33.3%, 1/3, 0.33
• D) 0.33, 1/3, 33.3%
5. Convert the fraction 7/10 to a percentage.
• A) 70%
• B) 73%
• C) 77%
• D) 80%
6. Convert the decimal 0.45 to a fraction.
• A) 4/9
• B) 9/20
• C) 9/22
• D) 45/100
7. Which of the following numbers is equal to 25%?
• A) 1/4
• B) 1/3
• C) 2/5
• D) 3/8 