Ratio Basics
Simplify the ratio
8:12
2:3
A recipe for 6 cupcakes uses 240 grams of flour. How much flour would be used to make 2 cupcakes?
80 grams
Write an expression for the nth term of the following sequence:
2, 4, 6, 8, 10, ...
2n
Elsa uses 2 eggs to make 12 cookies. Anna uses the same recipe and uses 6 eggs to make 36 cookies. What type of proportional relationship is described in this scenario?
direct
What is the equation for the relationship between speed, distance, and time?
Speed x time = distance
Write 28:14:49 in its simplest form.
4:2:7
A recipe for 6 cupcakes uses 240 grams of flour. How much flour would be used to make 10 cupcakes?
400 grams
Write an expression for the nth term of the following sequence:
3, 5, 7, 9, 11, ...
2n + 1
It takes 4 roofers 4 days to complete a job. It takes 2 roofers 8 days to complete the same job. What kind of proportional relationship is described in this scenario?
Inverse
On a distance-time graph, what part of the graph indicates speed?
gradient (the steeper the line, the faster someone/something is going)
Draw a bar diagram to show the ratio of red paint to white paint as 2:3. Then write the proportion of red paint as a percentage.
A 500ml bottle of Pepsi contains 35 grams of sugar. How much sugar is there in a 300 ml can of Pepsi?
21 grams
A bag of marbles contains 40 marbles. The ratio of blue marbles to red marbles is 1:4. How many red marbles are in the bag?
32 red marbles
It takes 2 roofers 6 days to fix a roof. How long would it take 1 roofer to fix the roof?
12 days
An e-bike's top speed is 20 mph. If it travels for 30 minutes at top speed, how many miles does it travel?
10 miles
Kristoff says that the ratio 20:24 is equivalent to the ratio 4:6. Show working to explain why Kristoff is not correct.
20:24 simplifies to 5:6 if you divide both sides of the ratio by 4 (or 4:4.8 if you divide both sides by 5).
A recipe for 24 biscuits uses 200 grams of butter. Gaston wants to make 42 biscuits. Find the minimum amount of butter he should use.
350 grams
Calculate the linear inequality.
5x + 12 < 28
x < 16/5 OR x < 3.2
It takes 6 painters 8 days to paint the outside of a house. How long would it take 4 painters?
12 days
An electric scooter's top speed is 45 mph. If it travels for 20 minutes at this speed, how many miles does it travel?
15 miles
The ratio of boys to girls in a classroom are 3:2. There are 30 students. How many boys are there?
18 boys
A recipe for 24 biscuits uses 200 grams of butter. Belle has 1.1 kilograms of butter and plenty of the other ingredients. Work out the maximum number of biscuits Belle can make.
132 biscuits
The angles of a quadrilateral are in the ratio 10:17:7:6. What is the size of the largest angle?
153 degrees
It takes 6 roofers 9 days to fix a roof. How long would it take 4 roofers to do the same job?
13.5 days
Moana left her house for the grocery store at 10:30 and arrived at 11:00. The total distance she travelled is 1 km. Assuming she walked at a constant speed, what is the speed of her journey in kilometres per hour?
2 km per hour