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Sacred Heart Primary School

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Friday 20th Maths Problem

**Grades:**
6th Grade

**Subjects:**
Math

**Student Instructions**

Try your best to figure out the maths problem.
Come up with different variations of ducks and pigs but remember you only can have a total of 11 animals and no more than 28 legs.
Eg 1 duck & 1 pig gives me 6 legs.
(In this problem, ducks are referred to as animals, but we know they are birds)

**Teacher Notes (not visible to students)**

From NZ Maths
Answer:
3 pigs, 8 ducks
There are many ways to do this problem. For instance, it is a good problem to introduce the use of a table and to use it for guess and improve. If the first guess was 5 pigs and 6 ducks there are 32 legs. At this point the students should realise that to reduce the number of legs we have to reduce the number of pigs. Some students may be able to reason that when you reduce the pigs by one and add a duck you have reduced the number of legs by 2.