Ratio and Proportion 1

​Part 1

​Lesson Objectives

​After studying this topic, students are able to:

• Record relationships using ratio notation

• Find one quantity when the other is given

• Divide amounts in a given ratio

Multiple Choice

Complete the equivalent fractions

• 6/9
• 6/6
• 9/9
• 2/3

Multiple Choice

Complete the equivalent fraction.

• 6
• 9
• 15
• 23

Multiple Choice

Which picture shows 2/8?

• green
• blue
• purple
• pink

​14.1 Simplifying Ratio

​14.1 Simplifying Ratio

​14.1 Simplifying Ratio

​14.1 Simplifying Ratio

​What is ratio of Tan's money to Mia's money?

​

​Ans: 97 : 110

​14.1 Simplifying Ratio

Multiple Choice

What is the ratio of sharks to fish?

• 2 : 10

• 2 : 8

• 8 : 2

Multiple Choice

What is the ratio of fish to sharks?

• 8 : 2

• 10 : 2

• 2 : 8

Multiple Choice

In the fruit bowl there are 4 apples, 2 bananas, and 5 pears.  What is the ratio of pears to ALL fruit?

• 5 : 4

• 5 : 11

• 2 : 5

• 6 : 5

Multiple Choice

There are 13 boys and 10 girls in the classroom.  What is the ratio of boys to girls?

• 10 : 13

• 23 : 13

• 13 : 10

• 23 : 10

Multiple Choice

Write 3 to 9 as a ratio.

• 3 : 9

• 3^9
• 3 - 9
• 3 + 9

​14.1 Simplifying Ratio

​Example 1

​Example 2

​Example 3

Multiple Choice

Tommy has a bag of LEGOS.  There are 6 yellow, 3 red, and 8 blue LEGOS.  What is the ratio in simplest form of red to yellow LEGOS?

• 1 : 2

• 6 : 3

• 2 : 1

• 3 : 6

Multiple Choice

Simplify 8 : 4

• 4 : 2

• 2 : 1

• 1 : 2

• 4 : 1

Multiple Choice

A class has 15 boys and 20 girls. What is the boys to girls ratio in simplest form?

• 4 : 3

• 10 : 13

• 3 : 4

• 3 : 5

Multiple Choice

Ali has 1.5 kg of sugar and Dio has 900 grams of sugar.

What is the ratio of Ali's sugar to Dio's sugar in the simplest form?

• 1.5 : 900

• 900 : 1.5

• 1500 : 900

• 5 : 3

​14.2 Sharing in a Ratio

​Example 4

​Example 5

​Example 6

​Example 7

Multiple Choice

Anna and Betty share £20 in the ratio 1 : 3. How much does Anna get?

• £4

• £1

• £5

• £3

Multiple Choice

$150 is shared among Hannah and Kelly in the ratio 2 : 3. How much is the largest amount received?

• $20

• $30

• $60

• $90

Multiple Choice

A tin of biscuits contains shortbread and chocolate biscuits in the ratio 1 : 4.

The tin contains 24 chocolate biscuits.

How many biscuits are there altogether?

• 6

• 12

• 24

• 30