Free for All
Ratios or Proportions
Proportions
Ratios
100
Solve using mental math (no calculator!)


7 x 9

63

100

Find a common denominator, and re-write the fractions with this denominator to find the larger ratio.


2/5 and 1/3

The common denominator is 15, the larger ratio is

 2/5, which would be 6/15

100

a) If an oil spill is spreading at a rate of 30 square feet per second, what would the ratio for this be?


b) How much would the oil spread spread every 1/2 second? What would the ratio for this be?

a) 30 : 1

b) 15 : 0.5

100

What is this ratio in fraction form?

4:5 

4/5

200

True or False:

The Great Barrier Reef is visible from space

True

200

Solve the proportion using cross multiplication.

7/n = 42/48

n=8

200

What value of p makes the equation below true?

6 − 2p = −48

A. −27                              C. 21

B. −21                              D. 27

27

200

a) Identify the highest common factor of 16 and 24 

b) Reduce the ratio and re-write in fraction form.


16:24

a) The HCF of 16 and 24 is 8.

b) 2/3

300

Approximately how many beaches are there in Australia?

a) 5,000-10,000

b) 10,000-12,000

c) 12,000 - 15,000

b) 10,000 - 12,000

Fun Fact: If you visited a beach in Australia every day, to visit all of them it would take you almost 32 years!

300

Write the ratio in simplest form:


15 : 75

1 : 5

300

What is a Proportion? (definition[letter])

A. is a statement of equality of two ratios, and a numerical quantity that is not a whole number

B. is a statement of equality of two ratios, and a part, share, or number considered in comparative relation to a whole


B. is a statement of equality of two ratios , and a part, share, or number considered in comparative relation to a whole

300

Find two ratios that are equivalent to 3/5

6/10 and 9/15

400

Between 1985 and 2025, how many crocodile attacks have happened in Queensland? 

(To get points, your guess can be a maximum of 10 attacks off from the actual amount)

51

(Points for guesses 41-61)

400

Set up a proportion with a pronumeral (letter) to solve the problem: If 4lbs of jelly beans cost $6.82, how much would 2lbs cost?

4/6.82 = 2/x

x=3.41

400

Solve for n.

3:8 = n:20

n=7.5

400

What is a Ratio? 

A. a part, share, or number considered in comparative relation to a whole

B.The relation between two amounts showing the number of times one value contains within the other

C. a numerical quantity that is not a whole number

B: The relation between two amounts showing the number of times one value contains within the other

500

You mix 1/4 cup of juice concentrate for every 2 cups of water to make orange juice. If you want 18 cups of juice total, how much juice concentrate do you have to use?

2 cups

(2 cups of concentrate : 16 cups of water)

500

Jacob ran 10 miles in 80 minutes. At the rate how far would he run in 2.5 hours?

X=18.75

500

a) Re-write the ratios as fractions. What would their least common denominator be?

b) Use the common denominator to find which ratio is larger, and state the largest ratio in its new form.

5:9 and 7:12

a) 5/9 and 7/12. 

The least common denominator would be 36.

b) 7:12 is larger, and would be 21:36