Unit Ratios & Simplifying
Sharing in a Ratio
Similar Shapes
Missing Sides
Random Revision
100
Simplify the ratio 6:15:27 fully.
2:5:9
100
Will and Olly share £80 in the ratio 3:2. Work out how much Olly gets.
£32
100
The triangles are similar. What side corresponds to GJ?
KM
100
The ratio between sides is given as 1:2. What is the scale factor?
2
100
Which point is exactly 10 cm from A and exactly 4 cm from B?
Point R
200
There are red and yellow tulips in the ratio 4:3. What fraction of the tulips are yellow?
3/7
200
Carly and James share some money in the ratio 5:3. Carly gets £70 more than James. Work out how much money James gets.
£105
200
The triangles are similar. What side corresponds to LM?
YZ
200
Calculate x.
8 cm
200
Calculate angle ABC.
25^\circ
300
Write 2:10 as a unit ratio.
1:5
300
Dave is making cookies. He mixes flour, butter, and sugar in the ratio 6:4:1. Dave uses 160 grams of butter. Work out how much flour Dave uses.
240 grams
300
What side corresponds with CB?
Side CE
300
Calculate the length of side XY.
7 m
300
What is the exact measure of the marked angle between the clock hands? Hint: Remember how many degrees are in a circle.
150^\circ
400
Write 3:10 as a unit ratio.
1:10/3
400
125 metres
400
Calculate the area of the large rectangle.
60 cm^2
400
Calculate x. Leave your answer as a fraction.
20/3 cm
400
Calculate p.
12 cm
500
Write 5:1 as a unit ratio.
1:1/5
500
Alvin and Simon shared $540 in the ratio 4:5. Alvin gave half of his share to Theo. Simon gave a tenth of his share to Theo. What fraction of the $540 did Theo receive?
5/18
500
JKLM and PQRS are similar. What is the scale factor from JKLM to PQRS?
15/12=5/4=1.2
500
Calculate x.
x = 10
500
Using a calculator, calculate the perimeter of the right triangle. Round your answer to 1 decimal place.
68.3 cm