Unit 1 Math and Ratio Quiz

Which statement correctly describes the image of clouds and suns? Select all that apply.

• For every three clouds, there are two suns.

• For every 12 clouds, there are 6 suns.

• For every three suns, there are six clouds.

• For every three clouds, there is one sun.

Answer explanation

1. 1. Count the clouds.

2. 2. Count the suns.

3. 3. Pay attention to the question. Do they want the clouds or the suns first? Does it matter in this question?

5. The answer is for every 3 suns there are 6 clouds. The question did not give an order of which one was to come first.

6. Make a table.

7. suns 3, 6, 9, 12, 15, 18

8. clouds 6, 12, 18, 24, 30, 36

A bowl of fruit contains only strawberries and grapes. For every 3 strawberries in the bowl, there are 5 grapes. Select 3 true statements.

• If there are 20 grapes in the bowl, there will be 12 strawberries.

• If there are 40 pieces of fruit in the bowl, 15 will be strawberries.

• If there are 18 strawberries in the bowl, there will be 20 grapes.

• If there are 45 grapes, there are 72 pieces of fruit in the bowl.

• If there are 21 strawberries in the bowl, there are 35 pieces of fruit in the bowl.

Answer explanation

A bowl of fruit contains only strawberries and grapes. For every 3 strawberries in the bowl, there are 5 grapes. Select 3 true statements.

1. Make a chart on a piece of paper. You have to keep going until you reach 72 pieces of fruit in the bowl. Add the strawberries and grapes to reach 72 piecies of fruit.

2. Strawberries 3. 6. 9. 12. 15. 18. 21

3. Grapes 5. 10. 15. 20. 25. 30. 35

In a class of students, there are 12 students in red shirts and 15 students in white shirts. What is the ratio of students in white shirts to the entire class?

• 9:5

• 4:5

• 5:4

• 5:9

Answer explanation

In a class of students, there are 12 students in red shirts and 15 students in white shirts. What is the ratio of students in white shirts to the entire class?

Math Work

White shirts = 15

Total number of students- 15 + 12= 27

Answer= 15 to 27 or 15/27 or 15:27

Greatest common factor

15= 1 X 15 and 3 X 5

27= 1 X 27 and 3 X 9

Greatest common factor = 3.

Answer

15/3= 5

27/3=9

A 3-pound bag of apples contains 12 apples and costs $3.99. What is the unit cost of each apple in the bag? If necessary, round to the nearest hundredths place.

Answer explanation

Question

A 3-pound bag of apples contains 12 apples and costs $3.99. What is the unit cost of each apple in the bag? If necessary, round to the nearest hundredths place.

Answer

$3.99/12 = ______

/ means divide.

Answer=$3.99/12= $0.33 or 33 cents

Lynn has a job at the mall wrapping gifts. After 40 minutes, she finished wrapping 8 gifts. Assuming she wraps at a constant rate, which correctly shows Lynn's wrapping? Create a table to show your thinking.

• Time (minutes): 40, 50, 60, 70; Number of gifts wrapped: 8, 9, 10, 11

• Time (minutes): 40, 50, 60, 70; Number of gifts wrapped: 8, 10, 12, 14

• Time (minutes): 40, 55, 70, 85; Number of gifts wrapped: 8, 9, 10, 11

• Time (minutes): 40, 55, 70, 85; Number of gifts wrapped: 8, 10, 12, 14

Answer explanation

Question

Lynn has a job at the mall wrapping gifts. After 40 minutes, she finished wrapping 8 gifts. Assuming she wraps at a constant rate, which correctly shows Lynn's wrapping?

Create a table to show your thinking.

Answer

How many gifts can she wrap in 5 minutes? 40/8= 5 She wraps 1 gift every 5 minutes.

Finish the bottom of the chart.

Gifts. 1. 2 3 4. 5. 6. 7 8. 9. 10. 11. 12

Minutes. 5. 10 15

Austin thinks that the best orange juice is made from 2 cups of water and 3 cups of juice concentrate. Use the ratio table to determine how many cups of water and how many cups of juice concentrate he will need to make 40 cups of juice.

• Water 16 cups

  Juice Concentrate 24 cup

• Water 24 cups

  Juice Concentrate

  16 cups

Answer explanation

Question

Austin thinks that the best orange juice is made from 2 cups of water and 3 cups of juice concentrate. Use the ratio table to determine how many cups of water and how many cups of juice concentrate he will need to make 40 cups of juice.

Answer

Make a chart

Water 2. 4. 6. 8. 10. 12. 14. (Keep going to 40)

Juice Concentrate 3. 6. 9. 12. (Keep going to match up the top 40 to the bottom number. The answer is ____

Elephants eat about 180 kilograms of food in 4 days. Use the given rate to complete the table.

180/4

180:4

180 to 4

• 45 kg/1 day

• 1 day to 45 kg

Answer explanation

Question

Elephants eat about 180 kilograms of food in 4 days. Use the given rate to complete the table.

180/4

180:4

180 to 4

Answer

180 divided by 4 = ______kg

How many calories are there in 5 dishes of chocolate pudding?

Hint

1. 1. How many calories are in 1 dish of pudding? (681/2= ____)

2. 2. If one dish has ____ calories, how many calories will 2 dishes have? (2 x ____ =)

3. 3. Now do math to figure out how many calories 5 dishes would have? (5 x __=)

• 1,562 calories

• 1,702.5 calories

• 3,405 calories

• 2,724.5 calories

Answer explanation

1. 1. 681/2 = 340.5

2. 2. 340.5 X 2 = 681

3. 3. 340.5 X 5 =1702.5

4. Answer There are 1,702.5 calories in 5 dishes.

Connor has a marble collection. He keeps 9 of the marbles in a box, which is only 4% of his collection. What is the total number of marbles in Connor’s marble collection?

• 36

• 225

• 125

• 180

Answer explanation

Question

Connor has a marble collection. He keeps 9 of the marbles in a box, which is only 4% of his collection. What is the total number of marbles in Connor’s marble collection?

Answer

Make a chart

Marbles. 9 45. 90. 135. 180. 225

Percent. 4. 20. 40. 60. 80. 100

225 is the total number of marbles in Connor's marble collection.

Ava bought a new garden hose which is 15.24 meters. What is the length of the garden hose in feet?

1 meter= 100 centimeters

1 inch = 2.54 centimeters

1 foot = 12 inches

• 40 feet

• 50 feet

• 60 feet

• 100 feet

Answer explanation

Question

Ava bought a new garden hose which is 15.24 meters. What is the length of the garden hose in feet?

1 meter= 100 centimeters

1 inch = 2.54 centimeters

1 foot = 12 inches

Answer

15 X 100 = 1500

1500+ 24= 1524 feet

2.54

× 12

508

+2540

30.48

1500/30.28= _______(49.5) or 50 feet