Rates
Ratios
Simplifying Ratios
Scale Drawings
Problem Solving
100
Rates are a comparison of:
a) like quantities with no units
b) unlike quantities with no units
c) like quantities with units
d) unlike quantities with units
d) unlike quantities with units
100
A bag contains 55 green marbles, 77 blue marbles and 33 yellow marbles.
Green marbles to Yellow marbles
55 : 33
5 : 3
100
Which of the following ratios is not written in simplest form?
- 17:20
- 14:35
- 1:8
- 15:28
14 : 35
100
A map has a scale 1:30 000, Find the actual distance for a map of with a scaled distance of 3cm
90 000cm or 900 m
100
Divide 40 m in the ratio of 3:5
15m & 25m
200
An employee’s wage is represented by the rate:
- $28/1
- h/$28
- $28/L
- $28/h
3) $28/L
200
In a box of 40 flavoured icy poles there were 13 lime, 9 lemonade, 11 raspberry and 7 orange icy poles.
The ratio for lime and orange icy poles to raspberry and lemonade icy poles.
20 : 20
1 : 1
200
The simplified ratio of 30 : 5
6 : 1
200
Find the scaled distance for each of the actual distances with a Scale 1:200
Actual distance is 4 km
20 m
200
State the total number of parts in the ratio 3:5
8 parts
300
Sean earns $103.80 for 12 hours work.
What is his rate of pay?
$8.65/h
300
Complete each pair of equivalent ratios.
2 : 3 : 5 = 4 : :
4 : 6 : 10
300
The Simplified ratio of 45 : 9 : 18
5 : 1 : 2
300
Determine the scale ratio for a length of 4cm on a scale drawing represents and actual distance of 2km
1 : 50 000
300
Cameron and Riley planted 80 trees on their farm.
If Cameron planted three trees for every two that Riley planted, how many trees did Cameron plant?
Cameron planted 48 trees
400
What is the cost of tiling a bathroom that is 10m long and 4m wide, if the tiles cost $9 per square metre?
$360
400
Write the missing expression.
y : 2x = : 8x
4y
400
Express the following pair as a ratio in simplest form.
4.5 kg to 180 grams
4500 : 180
25 : 1
400
A billboard poster shows a bottle of soft drink which is 1.2 m tall. If the scale of the poster is 6 : 1, what is the real height of the bottle?
20 cm
400
Three students Ramshid, Tony and Maria entered a group Mathematics competition.
Tony spent 3 hours researching the topic.
Maria spent 2 hours designing the poster.
Ramshid spent 5 hours preparing the final presentation.
Their group won second prize in the competition and received a prize of $450.
If the prize was divided up according to the time spent on the project, what would be the new ratio? Write the ratio in whole numbers, and amount of money will each student receive.
3 : 2: 5
$135, $90, $225
500
The heart pumps 5 L of blood every minute. If George's heart beats at a rate of 75 beats/minute, how much blood is pumped with each beat?
* Nearest mL
67mL/beat
500
The ratio of the shaded area to the unshaded area for the following diagram
4 : 21
Shaded area = 4 × 2 = 8 cm2 Total area = 5 × 10 = 50 cm2 Unshaded area = 50 − 8 = 42 cm2
Shaded area : unshaded area = 8 : 42
500
Simplify the following ratio.
12abc : 36ab
c : 3
500
The diagram shows a one-bedroom apartment as a scale drawing. The dimensions on the scale drawing are shown.
What is the cost of tiling this kitchen floor at $34/m2?
Cost = $ (to the nearest dollar) 
$318
500
If it takes 4 workers, 4 hours to dig 4 holes, how long would it take 2 workers to dig 6 holes?
12 hours