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Number and Algebra, NAP-B1-29

Iris needs 4 cups of raisins to make a fruit cake.

She measures `1/2` a cup each time.

How many `1/2` cups will she need?

`1` `2` `4` `8`
 
 
 
 
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`8`

Show Worked Solution
`2 xx 1/2\ text(cup)` `= 1\ text(cup)`
`4 xx 1/2\ text(cup)` `= 2\ text(cups)`
`6 xx 1/2\ text(cup)` `= 3\ text(cups)`
`8 xx 1/2\ text(cup)` `= 4\ text(cups)`

 

`=>\ text(Iris needs 8 half cups.)`

Number and Algebra, NAP-D1-30

In 5 years time, Megan will be 16.

Brian will then be half Megan's age.

How old is Brian now?

`3` `6` `8` `11`
 
 
 
 
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`3`

Show Worked Solution

`text(In 5 years time:)`

`text{Megan will be 16 (given)}`

`=>\ text(Brian will be 8.)`

`:.\ text(Brian’s age now)` `= 8-5`
  `= 3`

Number and Algebra, NAP-D1-06

Sean ate half a box of chocolates.

There are 9 chocolates left in the box

How many chocolates are in a full box?

`18` `16` `9` `8`
 
 
 
 
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`18\ text(chocolates)`

Show Worked Solution

`text(Half of a box) = 9\ text(chocolates)`

`=>\ text(A full box of chocolates)`

`=9 xx 2`

`= 18\ text(chocolates)`

Number and Algebra, NAP-F1-27

Eliza took half the chocolates that were in a bowl.

Without any other chocolates being taken, Eliza took two more.

Eight chocolates were left in the bowl.

How many chocolates were in the bowl at the start?

`6` `10` `18` `20`
 
 
 
 
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`20`

Show Worked Solution

`text(If we add the last 2 chocolates to the 8 left in)`

`text(the bowl, there are 10 in the bowl.)`

`=>\ text(10 is half the chocolates at the start.)`

`:.\ text(20 chocolates were in the bowl.)`