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Number and Algebra, NAP-D2-31 SA v1

A ticket to Leyland Brothers World for two adults costs $42 in total.

A ticket to Leyland Brothers World for one child is one third the cost of an adult ticket.

What is the cost of a ticket for one child?

$  
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`$7`

Show Worked Solution

`text(C)text(ost of 1 adult ticket)`

`= 42 -: 2`

`= $21`
 

`:.\ text(C)text(ost of 1 child ticket)`

`= 1/3 xx 21`

`= $7`

Number and Algebra, NAP-B1-29v1

Kate uses 1 cup of flour to make one muffin.

She measures `1/3` cup each time.

How many `1/3` cups will she need to make 6 muffins?

`2` `3` `12` `18`
 
 
 
 
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`18`

Show Worked Solution
`3 xx 1/3\ text(cup)` `= 1\ text(cupcake)`
`6 xx 1/3\ text(cup)` `= 2\ text(muffins)`
`12 xx 1/3\ text(cup)` `= 4\ text(muffins)`
`18 xx 1/3\ text(cup)` `= 6\ text(muffins)`

 

`=>\ text(Kate needs 18)\ xx 1/3\ text(cups.)`

Number and Algebra, NAP-B2-21

Jane and five of her friends share 2 cakes.

If all six friends share equally, what fraction of one cake does each of them get?

`1/2` `1/3` `1/6` `1/12`
 
 
 
 
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`1/3`

Show Worked Solution
`text(Fraction of 1 cake)` `=2/6`
  `=1/3`

Number and Algebra, NAP-C2-13

A bag of marbles contains only white and grey marbles.
 

 

 
What fraction of the total marbles are grey ones?

`2/5` `1/3` `2/3` `3/5`
 
 
 
 
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`3/5`

Show Worked Solution
`text(Fraction)` `= text(number of grey marbles) / text(total marbles)`
  `=3/5`