smc-3019-20-Halves

Number and Algebra, NAP-J2-3

Sachin owned these cricket bats.

He gave half of them away.

How many cricket bats does Sachin keep?

5	6	10	12

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`6`

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`text(Sachin owns 12 bats in total.)`

`:.\ text(Bats left after giving away half)`

`= 12 – 6`

`= 6`

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`

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`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-B1-16 SA

Joe put half of the apples in his fridge.

How many apples did Joe put in his fridge?

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`12\ text(apples)`

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`text(Total apples)`	`=3 xx 8`
	`=24`

`=>\ text(Apples put in fridge)`	`=1/2 xx 24`
	`=12`

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`

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`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-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`

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`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.)`

Number and Algebra, NAP-F1-17

Bailey put all of her marbles onto a dish.

She then gave half her marbles to her sister.

Which of these shows how many marble were left in the dish?

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Show Worked Solution

`=>\ text(18 marbles to begin with.)`

`=>\ text(9 marbles will be left.)`

Number and Algebra, NAP-F2-19

Calvin took half the chocolates in a box.

Without any other chocolates being taken, Jeremy took five more.

Seven chocolates were left in the box.

How many chocolates were in the box originally?

`14`	`20`	`24`	`30`

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`24`

Show Worked Solution

`text(If we add back the 5 chocolates to the 7 left in)`

`text(the box, there are 12 in the box.)`

`=>\ text(12 is half the chocolates at the start.)`

`:.\ text(24 chocolates were in the box.)`