Grade 6 Eureka Module 1 Mid-Module Review

Front

What is a ratio?

Back

A ratio is a relationship between two numbers that shows how many times the first number contains the second. It can be expressed in different forms, such as a fraction, with a colon (e.g., 4:5), or with the word 'to' (e.g., 4 to 5).

Front

How do you represent a ratio using a tape diagram?

Back

A tape diagram visually represents a ratio by using rectangles to show the relative sizes of the quantities. Each rectangle represents a part of the ratio, making it easier to see the relationship between the two quantities.

Front

If the ratio of boys to girls is 4:5 and there are 80 more girls than boys, how can you find the number of boys?

Back

Let the number of boys be 4x and the number of girls be 5x. The equation is 5x - 4x = 80. Solving gives x = 80, so the number of boys is 4x = 320.

Front

What is the simplified form of the ratio 15:25?

Back

The simplified form of the ratio 15:25 is 3:5.

Front

How do you determine if a ratio is correct?

Back

To determine if a ratio is correct, compare the numbers in the ratio to the actual quantities. If they are proportional, the ratio is correct.

Front

What is the ratio of boys to girls if there are 35 boys and 42 girls?

Back

The ratio of boys to girls is 35:42, which simplifies to 5:6.

Front

In a parking lot, if the ratio of trucks to other vehicles is 2:5, how do you find the number of non-truck vehicles?

Back

If there are 77 vehicles total, the ratio parts are 2 + 5 = 7. Each part represents 77/7 = 11 vehicles. Non-truck vehicles = 5 parts x 11 = 55.

Front

What does it mean to scale down a ratio?

Back

Scaling down a ratio means to simplify it to its lowest terms while maintaining the same relationship between the quantities.

Front

How can you check if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal. For example, for ratios a:b and c:d, check if a*d = b*c.

Front

What is the importance of understanding ratios in real-life situations?

Back

Understanding ratios helps in making comparisons, understanding proportions, and solving problems in various contexts, such as cooking, budgeting, and scaling.