Rational Relationships
Integer Relationships
100

Do the ratios form a proportion?

(1/2):3      and      (6/2):18

Yes - both ratios have a value of 1:6

100

Do the ratios form a proportion?

5:4  and   16:20

No, one has a value of 1.25:1 the other has a value of 1:1.25

200

Do the ratios form a proportion?

3.6:10.8      and     4.5:13.5

Yes - each has a ratio value of 1:3

200

Do the ratios form a proportion?

7:10  and  28:40

Yes, one is scaled up by a factor of 4

300

Do the ratios form a proportion?

6.8:3.4    and   5.2:10.4

No - one has a value of 1:2, the other has a value of 2:1

300

Do the ratios form a proportion?

36:9  and  20:5

Yes, both have a value of 4:1

400
Protein bar A is 30g and contains 5.5g of protein. Bar B has 6.75g of protein and is 40g. Are the amounts of protein in each bar proportional?

No, one has 0.183 grams of protein per gram, the other is 0.16875.

400

Ice cream shop A charges $7 for two scoops of ice cream. Shop B charges $10.50 for three scoops. Are the rates proportional?

Yes, both charge $3.50 per scoop

500

Do the ratios form a proportion?

(3/4):(5/6)    and    (6/10):(10/15)

Yes, try cross products

500

A runner completes the 400m race in 72s. She also completes the 1600m race in 4min 48s. Does she run both races at the same pace?

Yes