Understanding Ratios and Coordinates

Ava is organizing her art supplies. She has 6 yellow markers, 3 red markers, and 8 blue markers. What is the ratio in simplest form of red to yellow markers?

• 1/2

• 6/3

• 2/1

• 3/6

Answer explanation

To find the ratio of red to yellow LEGOS, divide the number of red LEGOS (3) by the number of yellow LEGOS (6). This simplifies to 1/2, making the correct answer 1/2.

Harper has a basket with red and green apples. What is the ratio of red apples to green apples?

• 7 apples to 3 green

• 4 red apples to 7 apples

• 4 red apples to 3 green apples

• 3 green apples to 4 red apples

Answer explanation

The correct ratio of red apples to green apples is 4 red apples to 3 green apples, as stated in the answer choice. This clearly indicates the relationship between the two types of apples.

Jackson has a basket with 4 apples, 2 bananas, and 5 pears. What is the ratio of pears to ALL fruit?

• 5:4

• 5:11

• 2:5

• 6:5

Answer explanation

To find the ratio of pears to all fruit, first calculate the total fruit: 4 apples + 2 bananas + 5 pears = 11. The ratio of pears (5) to total fruit (11) is 5:11, making the correct answer 5:11.

A 6-pound roast beast feeds 8 Whos. How many Whos could be fed by an 18-pound roast beast?

• 16

• 24

• 36

• 14

Answer explanation

A 6-pound roast feeds 8 Whos, so each pound feeds 8/6 = 4/3 Whos. An 18-pound roast feeds 18 * (4/3) = 24 Whos. Therefore, the correct answer is 24.

Gabriela and Sophia conducted an experiment where they rolled a dice 12 times and recorded their data in the table above. What is the experimental probability of rolling an odd number?

• 5/12

• 1/12

• 7/12

• 11/12

Answer explanation

To find the experimental probability of rolling an odd number, count the number of odd rolls. If there are 7 odd rolls out of 12 total rolls, the probability is 7/12, which is the correct answer.

Arjun has 10 apples and Priya has 15 apples. What is the ratio of Arjun's apples to Priya's apples in simplest form?

• 2:3

• 3:2

• 1:5

• 5:3

Answer explanation

To find the ratio of 10 to 15, divide both numbers by their greatest common divisor, which is 5. Thus, 10 ÷ 5 = 2 and 15 ÷ 5 = 3. The simplest form of the ratio is 2:3, making the correct answer 2:3.

Benjamin is flying a drone and needs to identify the quadrant in which the point (-3, 4) is located on the coordinate plane to plan his flight path.

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Answer explanation

The point (-3, 4) has a negative x-coordinate and a positive y-coordinate, placing it in Quadrant II, where x is negative and y is positive.

Ava is standing at the point (5, -7) in a park. If she walks to a point that is a reflection across the x-axis, what are the coordinates of the new point?

• (5, 7)

• (-5, -7)

• (5, -7)

• (-5, 7)

Answer explanation

To reflect the point (5, -7) across the x-axis, we change the sign of the y-coordinate. Thus, the new coordinates become (5, 7). Therefore, the correct answer is (5, 7).

Nora is standing at the point (3, -2) in a park. If she walks directly across the y-axis, which of the following points will she reach?

• (-3, -2)

• (3, 2)

• (-3, 2)

• (2, -3)

Answer explanation

To reflect the point (3, -2) across the y-axis, we change the sign of the x-coordinate. Thus, (3, -2) becomes (-3, -2). Therefore, the correct answer is (-3, -2).

Emma is helping her friend Arjun with a math puzzle. She needs to reflect a point on a grid. If she starts with the point (-4, -5) and reflects it across both the x-axis and y-axis, what are the coordinates of the new point?

• (4, 5)

• (-4, 5)

• (4, -5)

• (-4, -5)

Answer explanation

To reflect the point (-4, -5) across the x-axis, change the y-coordinate to 5, resulting in (-4, 5). Then, reflecting this point across the y-axis changes the x-coordinate to 4, giving the final coordinates (4, 5).