Grade 6 Fast & Curious: Understand Ratios

What is the ratio of 4 apples to 8 oranges?

• 2:1

• 1:2

• 4:8

• 8:4

Answer explanation

The ratio of 4 apples to 8 oranges can be simplified by dividing both numbers by 4, resulting in 1:2. Therefore, the correct answer is 1:2.

Tags

CCSS.6.RP.A.1

If there are 12 boys and 18 girls in a class, what is the ratio of boys to girls in simplest form?

• 2:3

• 3:2

• 6:9

• 12:18

Answer explanation

To find the ratio of boys to girls, divide the number of boys (12) by the number of girls (18). Simplifying 12:18 by dividing both by 6 gives 2:3, which is the simplest form. Thus, the correct answer is 2:3.

Tags

CCSS.6.RP.A.1

Answer explanation

To find a ratio equivalent to \( \frac{3}{4} \), we can multiply both the numerator and denominator by the same number. Multiplying by 2 gives \( \frac{6}{8} \), which is equivalent to \( \frac{3}{4} \). Thus, the correct choice is \( \frac{6}{8} \).

Tags

CCSS.6.RP.A.1

A recipe calls for 2 cups of sugar for every 5 cups of flour. What is the ratio of sugar to flour?

• 5:2

• 2:5

• 2:7

• 7:2

Answer explanation

The recipe states 2 cups of sugar for every 5 cups of flour. This gives a ratio of sugar to flour as 2:5, meaning for every 2 parts of sugar, there are 5 parts of flour. Thus, the correct answer is 2:5.

Tags

CCSS.6.RP.A.1

If the ratio of pencils to erasers is 7:3, how many erasers are there if there are 21 pencils?

• 7

• 9

• 3

• 10

Answer explanation

The ratio of pencils to erasers is 7:3. If there are 21 pencils, we can set up a proportion: 21 pencils / 7 = x erasers / 3. Solving for x gives x = 9. Therefore, there are 9 erasers.

Tags

CCSS.6.RP.A.1

Which statement correctly describes the ratio 5:12?

• For every 5 parts, there are 12 parts in total.

• For every 5 of one quantity, there are 12 of another quantity.

• For every 12 of one quantity, there are 5 of another quantity.

• For every 5 of one quantity, there are 7 of another quantity.

Answer explanation

The ratio 5:12 means that for every 5 units of one quantity, there are 12 units of another quantity. This matches the correct choice, which states that for every 5 of one quantity, there are 12 of another quantity.

Tags

CCSS.6.RP.A.1

A bag contains 15 red marbles and 10 blue marbles. What is the ratio of blue marbles to the total number of marbles?

• 2:5

• 10:25

• 3:5

• 5:2

Answer explanation

The total number of marbles is 15 red + 10 blue = 25. The ratio of blue marbles (10) to total marbles (25) is 10:25, which simplifies to 2:5. Thus, the correct answer is 2:5.

Tags

CCSS.6.RP.A.1

If the ratio of cats to dogs is 4:5 and there are 20 dogs, how many cats are there?

• 16

• 25

• 9

• 10

Answer explanation

The ratio of cats to dogs is 4:5. If there are 20 dogs, we can set up the proportion: 4/5 = x/20. Solving for x gives x = (4/5) * 20 = 16. Therefore, there are 16 cats.

Tags

CCSS.6.RP.A.1

A classroom has 18 students. The ratio of boys to girls is 2:1. How many girls are in the class?

• 6

• 9

• 12

• 8

Answer explanation

The ratio of boys to girls is 2:1, meaning for every 3 students, 2 are boys and 1 is a girl. In 18 students, there are 18/3 = 6 groups. Thus, there are 6 girls (1 girl per group). The correct answer is 6.

Tags

CCSS.6.RP.A.1

A map uses a scale of 1 inch to 50 miles. If two cities are 3 inches apart on the map, what is the actual distance between them?

• 100 miles

• 150 miles

• 53 miles

• 30 miles

Answer explanation

The map scale is 1 inch to 50 miles. If the cities are 3 inches apart, the actual distance is 3 inches x 50 miles/inch = 150 miles. Therefore, the correct answer is 150 miles.

Tags

CCSS.6.RP.A.1