Ratio and proportion

Direct proportion

Name: ______________________________Date: ______________Score: ______ / 20

1.
When two quantities are in direct proportion, if one increases the other...
1. Aincreases in the same ratio
2. Bstays exactly the same
3. Cdecreases in the same ratio
4. Dchanges in no set way
2.
When two quantities are in proportion, their ratio stays the same.
True False
3.
350 g of pasta feeds 4 people. How much pasta is needed for 12 people?
g
4.
A sauce recipe for 6 people uses 300 g of tomatoes. How many grams of tomatoes are needed for 12 people?
g
5.
3 melons cost $2. What do 15 melons cost?
dollars
6.
Magda buys 1 pizza for every 3 people. She is feeding 12 people. How many pizzas does she buy?
7.
A teacher can buy 4 posters for $7. How much do 24 posters cost?
dollars
8.
An ice cream recipe for 8 people uses 400 ml of cream. How much cream is needed for 4 people?
ml
9.
The same ice cream recipe for 8 people uses 500 ml of milk. How much milk is needed for 4 people?
ml
10.
The ice cream recipe for 8 people uses 250 g of sugar. How much sugar is needed for 4 people?
g
11.
A model car is one-tenth the size of the real car. The model is 40 cm long. How long is the real car?
cm
12.
A model car is one-tenth the size of the real car. The real car is 150 cm high. How tall is the model?
cm
13.
A model car is one-tenth the size of the real car. A model wheel has diameter 4.25 cm. What is the diameter of the real wheel?
cm
14.
A scale of 1:24 means the real car is 24 times as long as the model. A model is 170 mm long. How long is the real car?
mm
15.
A model car is 170 mm long and the real car is 4080 mm long. Work out 4080 ÷ 170 to find the scale number.
16.
Rectangle A is 5 cm long and 2 cm wide. What is its perimeter?
cm
17.
Rectangle A is 5 cm by 2 cm. Rectangle B has every side twice as long, so it is 10 cm by 4 cm. What is the perimeter of rectangle B?
cm
18.
Rectangle A is 5 cm by 2 cm. Rectangle C has every side four times as long, so it is 20 cm by 8 cm. What is the perimeter of rectangle C?
cm
19.
Rectangle A is 5 cm by 2 cm. Rectangle D has every side six times as long, so it is 30 cm by 12 cm. What is the perimeter of rectangle D?
cm
20.
A smoothie recipe for 2 smoothies uses 2 mangoes. How many mangoes are needed for 4 smoothies?

Answer key

Ratio and proportion — Direct proportion

1.A. increases in the same ratio
2.True
3.1050 g
4.600 g
5.10 dollars
6.4
7.42 dollars
8.200 ml
9.250 ml
10.125 g
11.400 cm
12.15 cm
13.42.5 cm
14.4080 mm
15.24
16.14 cm
17.28 cm
18.56 cm
19.84 cm
20.4