Ratios and rates

Ratio

Rate

Scale

Scale Drawing

Fraction

Equivalent

Solve

Problem

Receive

Distance

Floor plan

This topic has 11 key words:

Ratio

Definition: A ratio compares numbers in a set order.

Example: The ratio of men to women in the green box is 3:1.

The ratio of women to

men in the green box

is 1:3.

Rate

Definition: Rates compare things that are measured differently.

Example: A woman walks 5km (distance) in 1 hour (time).

This is written 5km / h.

Scale

Definition: Scale is a ratio of the size of something compared to the size of something else.

Example: This toy car is 4cm long. The real car is 400cm long. The scale is 4:400.

This is the same as

1:100.

Scale DrawingDefinition: A drawing where all parts are a certain amount smaller than the real thing.

Example: In this drawing of a horse, all parts of the drawing are 10 times smaller than the real horse.

Fraction

Definition: A part of a whole.

Example: The whole pizza below has 4 slices.

Someone has taken 1 slice.

Three slices are left on the plate.

The fraction of the whole pizza

that is on the plate is ¾.

Equivalent

Definition: The same as something else.

Example: The ratio of circle A that is shaded is 1:2. The ratio of circle B that is shaded is 2:4.

1:2 is equivalent to 2:4.

Circle A Circle B

Solve

Definition: To find out something new.

Example: Solve the equation to find y.

2 + y = 3.

-2 -2

y = 1

We solved this equation and found that y = 1.

Problem

Definition: Something that we need to find an answer for.

Example: 2 cans of coke cost $2. How much does one can of coke cost?

This is a problem. Can you find the answer?

$2 ?

Receive

Definition: To get something.

Example: Bob will receive $100 for the work he is doing in the garden.

Distance

Definition: How far it is from one point to another.

Example: The distance

from Sydney to Brisbane

is about 1000km.

Floor Plan

Definition: A drawing of a building of the floor of a building which is done to scale.

Example: This floor plan shows a house with three bedrooms.