Rates and Ratio Ratio : Comparing numbers with the same units Simplify ratios Equivalent ratios Divide a quantity into a given ratio Solve ratio problems.

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Presentation transcript:

Rates and Ratio Ratio : Comparing numbers with the same units Simplify ratios Equivalent ratios Divide a quantity into a given ratio Solve ratio problems Rates : Comparing numbers with the different units Simplify rates Convert between different rates Solve rate problems

Simplifying Ratios Simplify the following ratios a) 12:16b) 6:14c) 3:9 d) 15:25e) 12: 18f) 9:12

Equivalent Ratios Fill in the missing number to form equivalent ratios a) 1:3 is equal to 4: b) 6:14 is equal to 3: c) 3:9 is equal to 6: d) 1:10 is equal to 5:

Dividing a quantity into a given ratio Divide the following amount into the given ratio a)$20 in the ratio 2:3 b)$50 in the ratio 3:7 c) $45 in the ratio 4:5

Dividing a quantity into a given ratio Divide the following amount into the given ratio a)$30 in the ratio 2:3 b)$36 in the ratio 1:8 c) $45 in the ratio 1:8

Dividing a quantity into a given ratio Divide the following amount into the given ratio a)$50 in the ratio 2:3 b)$90 in the ratio 1:8 c) $4.50 in the ratio 1:8

Ratio Problems Nick & Alex decide to rob a bank. Nick does all the planning, supplies the get away car and pays the security guard to be away. They decided to split the money 3:2. They think there is $360,000 in the bank.  How much should they each get?

Ratio Problems When they rob the bank there was only $120,000 in there.  How much should they each get? (still using the ratio of 3:2)

Ratio Problems Nick and Alex get caught and the judge Emma sentences them for a total of 30 years  How much time should each of them serve? (still using the ratio of 3:2)

Ratio Problems Make up your own ratio story. Alex & Robbie steal a 25kg pineapple they split it in the ratio of 1:4.  How much does Alex get? 5kg  How much does Robbie get? 20kg

Ratio Problems Make up your own ratio story. Reece and Mr Wilson Steal lollies from a shop. They decide to split it 7:3.  How many does Reece get?  How many does Mr Wilson get?

Ratio Problems Make up your own ratio story. DJ likes his cordial really sweet he mixes the cordial and the water in the ratio of 1:9. If he wants to drink a 700ml bottle of drink.  How much cordial? 70ml  How much water? 630ml