6th Math Quiz

A toy store owner placed only toy cars and toy planes on a shelf. The ratio of the number of toy cars to the number of toy planes was 2 to 5. If the total number of toy cars and planes on the shelf is 42, then how many toy planes did the owner place on the shelf?

James, Abigail, and Benjamin are having a friendly competition to make the best punch drink. James mixed 4 L of apple juice with each gallon of grape juice, while Abigail mixed 7 L of apple juice with each 2 gallons of grape juice. Benjamin, who is judging, needs to decide who used more apple juice per gallon of grape juice. Which of the following statements is true?

• James used more apple juice per gallon of grape juice than Abigail because 4 L is greater than 2 gallons.

• Abigail used more apple juice per gallon of grape juice than James because 7 L is greater than 4 L.

• James used more apple juice per gallon of grape juice than Abigail because 4 : 1 is greater than 7:2.

• Abigail used more apple juice per gallon of grape juice than James because 7:2 is greater than 4 :1.

Answer explanation

The question asks about the amount of apple juice used per gallon of grape juice by Noah and Molly. Molly used 7 L of apple juice for every 2 gallons of grape juice, which is 3.5 L per gallon. Noah used 4 L of apple juice for every gallon of grape juice. Therefore, Molly used more apple juice per gallon of grape juice than Noah.

Tags

CCSS.6.RP.A.3A

Michael, Noah, and Elijah are having a paint party! They want to create the perfect shade of pink paint for their masterpiece. They discover that mixing 8 gallons of red paint with 12 gallons of white paint creates the ideal shade. What other proportion of gallons of red paint to white paint will make the same shade of pink paint?

• 16:24

• 24:37

• 34:48

• 48:74

Answer explanation

The original ratio of red to white paint is 8:12. To find an equivalent ratio, we can multiply both parts of the ratio by the same number. In this case, multiplying both by 2 gives us 16:24, which is the same shade of pink paint as the original mixture.

Tags

CCSS.7.RP.A.2A

Arjun, Aria and William are having a fun baking day! They are using a double number line to measure the ingredients for their favorite raisin bread recipe. If they use 13-½ cups of raisins, how many loaves of delicious raisin bread will they make?

• 9

• 10

• 12

• 20

Answer explanation

To find the number of loaves Chris can make, we need to divide the total amount of raisins (13.5 cups) by the amount of raisins per loaf. Since the double number line shows a relationship between raisins and loaves, we can find the correct ratio and divide 13.5 by that ratio. The correct option is 9 loaves, which means the ratio of raisins to loaves is 1.5 cups per loaf (13.5 ÷ 9 = 1.5).

Ava and Benjamin are having a friendly competition to see whose plants will grow faster. They record the relationship between time, x, and plant growth, y, for their respective plants. Evelyn, their science teacher, is intrigued by their findings.

What statements would Evelyn make to describe the relationship between x and y for Ava and Benjamin's plants?

• Both Ava and Benjamin's plants show multiplicative relationships. For Ava's plant, y is 2.5 times x, and in Benjamin's plant, y is 3 times x.

• Both Ava and Benjamin's plants show additive relationships. For Ava's plant, y is 2.5 more than x, and for Benjamin's plant, y is 3 more than x.

• Ava's plant shows an additive relationship where y is 2.5 more than x. Benjamin's plant shows a multiplicative relationship where y is 3 times x.

• Ava's plant shows a multiplicative relationship where y is 2.5 times x. Benjamin's plant shows an additive relationship where y is 3 more than x.

Answer explanation

The question asks about the relationship between time (x) and plant growth (y) for two different plants. The correct choice states that Plant A has a multiplicative relationship, where y is 2.5 times x, and Plant B has an additive relationship, where y is 3 more than x. This choice accurately describes the relationships for both plants.

Tags

CCSS.5.OA.B.3

Two out of every three marbles in a multi-colored package are pink. a. Draw a model that you can use to determine the number of marbles that will be pink in a multi-colored package of 21 marbles.

Tags

CCSS.6.RP.A.3B

Jolene works as a receptionist in a doctor’s office. She earns $10.50 per hour. The ratio $10.50 : 1 hour is shown on the double number line.

How much will Jolene earn if she works for 5 hours?

Jolene works as a receptionist in a doctor’s office. She earns $10.50 per hour. The ratio $10.50 : 1 hour is shown on the double number line.

How long will Jolene need to work to earn $63.00?

Sarah has a recipe for a cleaning solution that is formed by mixing 8 cups of water with 3 cups of hydrogen peroxide. Max has a recipe that combines 12 cups of water with 4.5 cups of hydrogen peroxide. Do the recipes provide cleaning solutions with the same strength? Explain your reasoning.

Tags

CCSS.6.RP.A.3A

The local breakfast restaurant sells 2 tacos for $5.50. Complete the table of values to represent the problem situation.

Tags

CCSS.6.RP.A.3B