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Number and Algebra, NAP-K2-21

Luke cuts a pizza into 8 smaller pieces along the lines shown.
 

 
How many pieces are in one-quarter of the whole pizza?

1 2 4 8
 
 
 
 
Show Answers Only

`2`

Show Worked Solution
`text(Pieces in one quarter)` `= 1/4 xx text(total pieces)`
  `= 1/4 xx 8`
  `= 2`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 5, smc-3087-30-Fraction word problems, smc-691-30-Fraction word problems

Number and Algebra, NAP-J2-12

Trevor has poured milk into some glasses.

He makes them all exactly one quarter full.

Trevor counts by quarters to find out, in total, how many full cups of milk he has.
 

  Which number does Trevor count next?

`5` `3` `1 1/2` `2 1/4` `2 1/2`
 
 
 
 
 
Show Answers Only

`1 1/2`

Show Worked Solution

`text(Add)\ 1/4\ text(for each additional cup.)`

`:.\ text(Next number)` `= 1 1/4 + 1/4`
  `= 1 1/2`

 

Filed Under: Fractions and Decimals, Fractions and Decimals, Fractions and Decimals, Patterns, Patterns Tagged With: Band 4, smc-3019-40-Counting by fractions, smc-3087-30-Fraction word problems, smc-3088-30-Other patterns, smc-691-30-Fraction word problems, smc-692-30-Other patterns

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
 
 
 
 
Show Answers Only

`6`

Show Worked Solution

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

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

`= 12 – 6`

`= 6`

Filed Under: Fractions and Decimals, Fractions and Decimals, Fractions and Decimals Tagged With: Band 3, smc-3019-20-Halves, smc-3087-30-Fraction word problems, smc-691-30-Fraction word problems

Statistics, NAP-B2-39 SA

32 students are shown 5 colours and they choose their favourite.

The fractions in the graph below show how the students voted.

How many more students voted for green than blue?

Show Answers Only

`4`

Show Worked Solution
`text(Votes for green)` `=1/4 xx 32`
  `=8`
   
`text(Votes for blue)` `=1/8 xx 32`
  `=4`

 

`:.\ text(4 more students voted for green than blue.)`

Filed Under: Data and Interpretation, Data and Interpretation Tagged With: Band 10, smc-3087-30-Fraction word problems, smc-3136-50-Other charts, smc-691-30-Fraction word problems, smc-698-50-Other charts

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`
 
 
 
 
Show Answers Only

`1/3`

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

Filed Under: Fractions, Fractions and Decimals, Fractions and Decimals, Fractions and Decimals, TESTLET F Tagged With: Band 6, smc-3019-30-Other fractions, smc-3087-30-Fraction word problems, smc-691-30-Fraction word problems

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`
 
 
 
 
Show Answers Only

`3/5`

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

Filed Under: Fractions and Decimals, Fractions and Decimals, Fractions and Decimals Tagged With: Band 5, smc-3019-30-Other fractions, smc-3087-30-Fraction word problems, smc-691-30-Fraction word problems

Number and Algebra, NAP-F2-33

A soccer match attracted a crowd of 17 221 people.

One third of the people at the match supported the away team.

Which of these is the closest to the number of people at the match who supported the away team?

`500` `600` `5000` `6000`
 
 
 
 
Show Answers Only

`6000`

Show Worked Solution

`text(One strategy:)`

`1/3 xx 17\ 221` `~~(18\ 000)/3`
  `~~6000`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 7, smc-3087-30-Fraction word problems, smc-691-30-Fraction word problems

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`
 
 
 
 
Show Answers Only

`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.)`

Filed Under: Fractions and Decimals, Fractions and Decimals, Fractions and Decimals Tagged With: Band 6, smc-3019-20-Halves, smc-3087-30-Fraction word problems, smc-691-30-Fraction word problems

Number and Algebra, NAP-F2-15

  represents  `2/5`.

 
What represents one whole?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(Each circle is equal to)\ \ 1/5.`

Filed Under: Fractions and Decimals, Fractions and Decimals, Fractions and Decimals Tagged With: Band 5, smc-3019-30-Other fractions, smc-3087-30-Fraction word problems, smc-691-30-Fraction word problems

Number and Algebra, NAP-E2-37 SA

Nel grows 2 types of lettuces, iceberg and butter lettuce.

One week she took 900 lettuces to market.

Two thirds were iceberg and the rest were butter lettuces.

One quarter of the iceberg lettuces didn't sell.

How many iceberg lettuces didn't sell?

Show Answers Only

`150`

Show Worked Solution

`text(Number of iceberg lettuces)`

`= 2/3 xx 900`

`= 600`
 

`:.\ text(Number of unsold iceberg lettuces)`

`= 1/4 xx 600`

`= 150`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 8, smc-3087-30-Fraction word problems, smc-691-30-Fraction word problems

Number and Algebra, NAP-I2-29

Jasper drove from his house and reached his first stop sign after `1/3` kilometre.

Which of these show where Jasper had reached the first stop sign.

 
 
 
 
Show Answers Only

Show Worked Solution

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 6, smc-3087-30-Fraction word problems, smc-691-30-Fraction word problems

Number and Algebra, NAP-I2-27

Curly, Larry and Moe share a bag of oranges.

Curly and Larry get `1/5` of the oranges each.

What fraction of the bag of oranges does Moe get?

`4/5`  `3/5`  `2/5`  `1/5`
 
 
 
 
Show Answers Only

`3/5`

Show Worked Solution

`text(Fraction that Curly and Larry get)`

`= 1/5 + 1/5`

`= 2/5`

`:.\ text(Fraction left for Moe)`

`= 1 – 2/5`

`= 3/5`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 6, smc-3087-30-Fraction word problems, smc-691-30-Fraction word problems

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