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Introducing Proportional Relationships

Total questions: 20

Worksheet time: 16mins

Name
Class
Date
1.

What could each of the number lines represent? Invent a situation and label the diagram. What are the values of B and C?

(a)  

2.

What could each of the number lines represent? Invent a situation and label the diagram. What are the values of D and E?

(a)  

3.

What could each of the number lines represent? Invent a situation and label the diagram. What are the values of F and G?

(a)  

4.

Here are the recipes that were used to make three mixtures. Two look the same, and one is different.

1 cup of water with 1 ½  teaspoons of powdered drink mix

2 cups of water with ½ teaspoon of powdered drink mix

1 cup of water with ¼ teaspoon of powdered drink mix

Which of these recipes is for the stronger tasting mixture?

a)

b)

c)

d)

5.

Salt and sugar give two distinctly different tastes, one salty and the other sweet. In a mixture of salt and sugar, it is possible for the mixture to be salty, sweet or both. Will any of these mixtures taste exactly the same, if so which ones?

  • Mixture A: 2 cups water, 4 teaspoons salt, 0.25 cup sugar

  • Mixture B: 1.5 cups water, 3 teaspoons salt, 0.2 cup sugar

  • Mixture C: 1 cup water, 2 teaspoons salt, 0.125 cup sugar



(a)  

6.

If drawing a person, choose an appropriate scale for a drawing that fits on a regular sheet of paper.

a)

1 in : 1 ft

b)

1 cm : 1 m

c)

1: 1000

d)

1 ft: 1 mile

7.

For a football field, choose an appropriate scale for a drawing that fits on a regular sheet of paper: (120 yards by 53 yards)

a)

1 in : 1 ft

b)

1 cm : 1 m

c)

1: 1000

d)

1 ft: 1 mile

8.

For the state of Washington, choose an appropriate scale for a drawing that fits on a regular sheet of paper: (about 240 miles by 360 miles)

a)

1 ft: 1 mile

b)

1: 100,000

c)

1 mm: 1 km

d)

1: 10,000,000

9.

For the floor plan of a house, choose an appropriate scale for a drawing that fits on a regular sheet of paper.

a)

1 in : 1 ft

b)

1 cm : 1 m

c)

1: 1000

d)

1 ft: 1 mile

10.

For a rectangular farm, choose an appropriate scale for a drawing that fits on a regular sheet of paper: (6 miles by 2 mile)

a)

1 ft: 1 mile

b)

1: 100,000

c)

1 mm: 1 km

d)

1: 10,000,000

11.

Which scale is equivalent to 1 cm to 1 km?

a)

1 to 1000

b)

10,000 to 1

c)

1 to 100,000

d)

100,000 to 1

e)

1 to 1,000,000

12.

Find an equivalent ratio to 7:3

a)

14:5

b)

21:9

c)

28:15

d)

35:16

13.

  1. A recipe says that 2 cups of dry rice will serve 6 people. Complete the table as you answer the questions. Be prepared to explain your reasoning.

    1. How many people will 10 cups of rice serve?



(a)  

14.

  1. A recipe says that 2 cups of dry rice will serve 6 people. Complete the table as you answer the questions. Be prepared to explain your reasoning.

    1. How many cups of rice are needed to serve 45 people?



(a)  

15.

  1. A recipe says that 6 spring rolls will serve 3 people. Complete the table.



(a)  

16.

A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger or smaller batches, but they always use the same ratio of honey to flour. Complete the table by filling in the values of D, E, and F.



(a)  

17.

4 quarters are equal in value to 10 dimes. Find the values of A, B, and C

(a)  

18.

A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles. What is the actual area of the park?

(a)  

19.

Select all the ratios that are equivalent to each other.

a)

4:7

b)

8:15

c)

16:28

d)

2:3

e)

20:35

20.

Noah drew a scaled copy of Polygon P and labeled it Polygon Q. If the area of Polygon P is 5 square units, what scale factor did Noah apply to Polygon P to create Polygon Q? Explain or show how you know.

(a)