What is ratio?
Equivalent Ratios
Comparing Ratios
Applications of ratio
What is rate?
100
Write the ratios:
a) red square to blue triangle
b) blue circle to blue triangle
a) 3:9 = 1:3
b) 6:9 = 2:3
100
Write 3 ratios equivalent to each ratio:
a) 3:4
b) 14:4
a) 6:8, 9:12. 12:16
b) 7:2 , 28:8, 42:12
100
Mixture A has a ratio of concentrate to water 7:11
Mixture B has a ratio of concentrate to water 5:11
Which mixture is stronger?
Mixture A
100
The scale drawing of a classroom has a scale of 1 cm to 1000 cm.
If a table measures 3000 cm, what would be the size of the model?
3 cm
100
Rate is a comparison of two different things.
True or False?
True
200
In Year 7 classroom there are 5 fiction books and 13 non-fiction.
a)Write the ratio of fiction to non-fiction books.
b) What is the ratio of non-fiction books to the total amount of books?
a) 5:13
b) 13:18
200
Are these ratios equivalent? How do you know?
13:7 and 39:21
Yes.
13:7 x 3 = 39:21
200
The ratio of boys to girls in year 7 A is 2:3. The ratio of boys to girls in year 7 B is 3:5. Each class has the same number of girls. Which room has more boys?
2:3 x 5 = 10:15 Year 7 A
3:5 x 3 = 9:15 Year 7 B
Year 7 A
200
Red and white paint is mixed in the ratio of
red:white = 3 to 2.
How many cans of red paint would be needed with 6 cans of white paint?
9 cans
200
A unit rate compares a quantity to 1 unit
True or False
true
300
On a school trip, there are 9 boys, 10 girls, and 4 adults. Write each ratio.
a) boys to girls
b) boys and girls to adults
c) adults to boys and girls
a) 9:10
b) 19:4
c) 4:19
300
In a class library, 5 out of 7 books are non-fiction. The rest are fiction.
a) How many non-fiction books could there be?
There could be 50 non-fiction books and 20 fiction.
Ratio: 5:2 (equivalent ratios can be the answers)
300
Coffee 1 has a ratio of 3 spoons of coffee to 5 cups of water
Coffee 2 has a ratio of 4 spoons of coffee to 7 cups of water
Which coffee is the strongest?
coffee 1- 3:5 x 7 = 21:35
coffee 2 - 4:7 x 5 = 20:35
Coffee 1 is the strongest
300
The distance from Maple Bear to the bakery is 8 m
If I am drawing a map of the school area with a scale
2 cm to 4 m. What will be the distance of from the bakery to the school on my map?
Map 2 ?
Area 400 800
Distance on the map: 2 x 2 = 4 cm
300
If a car travels 600 km in 6 hours. What would be the unit rate for the average speed of the car?
600 / 6 =
100 km/h
400
The ratio of red t-shirt to blue pants in Maria's closet is: 5:6. Write the ratio of red T-shirt to the total number of garments.
5:11
400
Ana has to draw a flag with a length to width 2 to 1. What are the length and width of the largest flag she can draw on a 50 cm by 30 cm sheet of paper?
50 cm by 25 cm
400
In the league, Palmeiras play 8 games. Their win to loss ratio is 5:3. The Corinthians play 11 games. Their win to loss is 7:4.
Which team has the better record? Show your answer.
Palmeiras 5:3 x 4 = 20:12
Corinthians 7:4 x 3 = 21:12
Corinthians has the better record.
400
Carol is building a scale model of a park. She uses a scale of 12 cm to represent 1.5 m.
The actual length of the bridge is 30 m. What is the length of the model bridge?
scale: model 12 model
bridge 150 3000
Model: 12 x 20 = 240 cm
400
Georgia blinks 58 times in 20 s
Anne blinks 75 times in 30 s
Who blinks faster?
Georgia 58 x 3 = 174 blinks/s
Anne 75 x 2 = 150 blinks/s
Georgia blinks faster.
500
Elys plans to bake a chocolate cake. The recipe calls for 3 cups of flour, 3 cups of water, 2 cups of sugar, 1 cup of oil, and 2 cups of chocolate. Answer the questions:
a) Total amount of ingredients in cups?
b) Ratio of flour to sugar?
c) Ratio of water and chocolate to the total amount of ingredients?
d) Elys is in a diet. She uses 1 cup of sugar instead of 2. What are the new ratio of flour to sugar? New ratio of water and chocolate to the total amount?
a) 11 cups
b) 3:2
c) 5:11
d) flour to sugar : 3:1
water and chocolate to the total amount 5: 10
500
Name all the pairs of equivalent ratios:
2:3, 9:12, 8:5, 1:2, 2:1, 16:10, 3:6, 6:9, 5:8, 3:4
2:3 and 6:9
9:12 and 3:4
8:5 and 16:10
1:2 and 3:6
500
A punch requires 3 cans of orange concentrate, 2 cans of mango concentrate and 7 cans of water.
a) Write the ratio of total concentrate to water
b) If I want to use 21 cans of water. How many cans of orange concentrate should I use?
a) concentrate : water = 5:7
b) 9 cans of orange concentrate
500
This table shows the quantities of salt and water needed to make salt solutions.
a) How much salt would be needed for 7 L of water?
Water 2 1 7
Salt 18 9 ?
a) 9 x 7 = 63 g
500
A lion run 550 m in 25 s. A zebra can run 270 m in 15 s.
Which animal is faster?
The average speed of a lion is 500 ÷ 25 =
22 m / s
The average speed of a zebra is 270 ÷ 15 =
18 m / s
The lion is faster