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Number, NAPX-p122228v02

Rebel bought 5 apples for $1.25 each.

She gave the shopkeeper a $10 note.

How much change should Rebel expect?

`$3.25` `$3.75` `$4` `$6.25`
 
 
 
 
Show Answers Only

`$3.75`

Show Worked Solution

`text(C)text(ost of 5 apples)`

`5 xx $1.25 = $6.25`

`:.\ text(Rebel’s change)` `= 10.00 – 6.25`
  `= $3.75`

Number, NAPX-p122508v01

Hannah bought 6 bottles of water that cost $1.10 each.

She gave the shopkeeper a $10 note.

How much change should Hannah expect?

`$6.60` `$4.40` `$3.60` `$3.40`
 
 
 
 
Show Answers Only

`$3.40`

Show Worked Solution

`text(C)text(ost of 6 bottles of water)`

`6 xx $1.10 = $6.60`

`:.\ text(Hannah’s change)` `= 10.00 – 6.60`
  `= $3.40`

Number, NAPX-H2-19

Magnus bought 3 chocolate bars that cost $2.30 each.

He gave the shopkeeper a $10 note.

How much change should Magnus expect?

`$3.10` `$4` `$6.90` `$7.70`
 
 
 
 
Show Answers Only

`$3.10`

Show Worked Solution

`text(C)text(ost of 3 chocolate bars)`

`3 xx $2.30 = $6.90`

`:.\ text(Magnus’ change)` `= 10.00 – 6.90`
  `= $3.10`

Number, NAPX-p122724v01

Gary cuts a pizza into 6 smaller pieces along the lines shown.
 

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

1 2 3 4
 
 
 
 
Show Answers Only

`2`

Show Worked Solution
`text(Pieces in one-third)` `= 1/3 xx text(total pieces)`
  `= 1/3 xx 6`
  `= 2`

Number, NAPX-K2-21

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

 
How many pieces are in three-quarters of the whole pizza?

3 5 6 7
 
 
 
 
Show Answers Only

`6`

Show Worked Solution
`text(Pieces in three-quarters)` `= 3/4 xx text(total pieces)`
  `= 3/4 xx 8`
  `= 6`

Algebra, NAPX-p122508v02

On Thursday, Sandra went to the doctor and was given 21 tablets.

Sandra was to take 5 tablets each day starting from Thursday.

On which day did she take the last tablet?

Sunday Monday Tuesday Wednesday
 
 
 
 
Show Answers Only

`text(Monday)`

Show Worked Solution
`text(Number of days)` `= 21 ÷ 5`
  `= 4\ text(remainder 1)`

 
`=>\ text(Last tablet taken on the 5th day.)`

`:.\ text(Monday)`

Algebra, NAPX-p122508v01

On Wednesday, Albert went to the doctor and was given 26 tablets.

Albert was to take 4 tablets each day starting from Wednesday.

On which day did Albert take the last tablet?

Saturday Sunday Monday Tuesday
 
 
 
 
Show Answers Only

`text(Tuesday)`

Show Worked Solution
`text(Number of days)` `= 26 ÷ 4`
  `= 6\ text(remainder 2)`

 
`=>\ text(Last tablet taken on the 7th day.)`

`:.\ text(Tuesday)`

Algebra, NAPX-K2-20

On Tuesday, Dinesh went to the doctor and was given 28 tablets.

Dinesh was to take 6 tablets each day starting from Tuesday.

On which day did Dinesh take the last tablet?

Thursday Friday Saturday Sunday
 
 
 
 
Show Answers Only

`text(Saturday)`

Show Worked Solution
`text(Number of days)` `= 28 ÷ 6`
  `= 4\ text(remainder 4)`

 
`=>\ text(Last tablet taken on the 5th day.)`

`:.\ text(Saturday)`

Statistics, NAPX-p122499v02

At the start of school, every child chooses one sport.

The table shows how many children chose each sport.
 

 
Select the statement that is true.

 
 Less than half the boys chose soccer.
 
 Half as many girls as boys chose Athletics.
 
 In total, 70 children chose soccer.
 
 The same number of boys and girls are at the school.
Show Answers Only

`text(The same number of boys and girls are at the school.)`

Show Worked Solution

`text(The true statement is:)`

`=>\ text(The same number of boys and girls)`

 `text(are at the school.)`

Statistics, NAPX-p122499v01

At the start of school, every child chooses one sport.

The table shows how many children chose each sport.

   

Select the statement that is true.

 
 Half the boys chose soccer.
 
 In total, 30 children chose AFL.
 
 More than half the girls chose Athletics.
 
 There are more girls than boys at school.
Show Answers Only

`text(Half the boys chose soccer.)`

Show Worked Solution

`text(The true statement is:)`

`=>\ text(Half the boys chose soccer.)`

Statistics, NAPX-K2-19

On a school camp, each child chose their meal for dinner.

The table shows how many children chose each meal.
 

 
Select the statement that is true.

 
 Less girls than boys chose nuggets.
 
 In total 30 children chose nuggets.
 
 Less than half the boys chose the chicko roll.
 
 In total, there are the same number of girls on the trip as boys.
Show Answers Only

`text(The true statement is:)`

`=>\ text(Less than half the boys chose)`

  `text(the chicko roll.)`

Show Worked Solution

`text(The true statement is:)`

`=>\ text(Less than half the boys chose the chicko roll.)`

Algebra, NAPX-p122351v02

Tiger plays golf.

During one round, he found 12 golf balls and lost 3.

At the end of the round, Tiger had a total of 15 golf balls.
 

 
How many golf balls did Tiger start with?

4 6 9 24
 
 
 
 
Show Answers Only

`6`

Show Worked Solution

`text(By trial and error:)`

`text(Consider starting with 6:)`

`6 + 12 – 3 = 15`
 

`:.\ text(Tiger starts with 6.)`

Algebra, NAPX-p122351v01

Sevie plays golf.

During one round, he found 5 golf balls and lost 9.

At the end of the round, Sevie had a total of 8 golf balls.
 

 
How many golf balls did Sevie start with?

4 6 8 12
 
 
 
 
Show Answers Only

`12`

Show Worked Solution

`text(Working backwards:)`

`=>\ text(If no balls were lost)`

`8 + 9 = 17`

`=>\ text(If no balls were found)`

`17 – 5 = 12`
 

`:.\ text(Sevie started with 12.)`

Algebra, NAPX-K2-18

Laura plays golf.

During one round, she found 13 golf balls and lost 6.

At the end of the round, Laura had a total of 14 golf balls.
 

 
How many golf balls did Laura start with?

5 7 9 21
 
 
 
 
Show Answers Only

`7`

Show Worked Solution

`text(Working backwards:)`

`=>\ text(Balls if none lost)`

`14 + 6 = 20`

`=>\ text(Balls if none found)`

`20 – 13 = 7`
 

`:.\ text(Laura started with 7.)`

Geometry, NAPX-p122209v02

Kwan uses some blocks to make a cube and a rectangular prism.
 

 
How many blocks does Kwan use altogether?

37 42 45 48
 
 
 
 
Show Answers Only

`45`

Show Worked Solution

`text(Blocks in cube)\ = 3 xx 3 xx 3 = 27`

`text(Blocks in rectangular prism)\ = 2 xx 3 xx 3 = 18`
 

`:.\ text(Total blocks)` `= 27 + 18`
  `= 45`

Geometry, NAPX-p122209v01

Kelly uses some blocks to make the two prisms below.
 

 
How many blocks does Kelly use altogether?

27 35 42 48
 
 
 
 
Show Answers Only

`42`

Show Worked Solution

`text(Blocks in cube)\ = 3 xx 3 xx 3 = 27`

`text{Blocks in 2nd object (step)}\ = 5 xx 3 = 15`
 

`:.\ text(Total blocks)` `= 27 + 15`
  `= 42`

Geometry, NAPX-K2-17

Brian uses some blocks to make two rectangular prisms.
 

 
How many blocks does Brian use altogether?

28 40 44 48
 
 
 
 
Show Answers Only

`48`

Show Worked Solution

`text(Blocks in small prism)\ = 2 xx 2 xx 3 = 12`

`text(Blocks in large prism)\ = 3 xx 3 xx 4 = 36`
 

`:.\ text(Total blocks)` `= 12 + 36`
  `= 48`

Measurement, NAPX-p121682v02

Taylor is 120 centimetres tall.
 

 
About how tall is her little brother Blaze?

90 centimetres 100 centimetres 105 centimetres 110 centimetres
 
 
 
 
Show Answers Only

`90\ text(centimetres)`

Show Worked Solution

`text(S) text(ince Taylor is 120 cm tall)`

`->\ text(Each mark) = 15\ text(cm)`
 

`:.\ text(Blaze’s height)` `= 6 xx 15`
  `= 90\ text(cm)`

Measurement, NAPX-p121682v01

Chris is 120 centimetres tall.
 

 
About how tall is his big sister Maddie?

160 centimetres 175 centimetres 180 centimetres 190 centimetres
 
 
 
 
Show Answers Only

`180\ text(centimetres)`

Show Worked Solution

`text(S) text(ince Chris is 120 cm tall)`

`->\ text(Each mark) = 20\ text(cm)`
 

`:.\ text(Maddie’s height)` `= 9 xx 20`
  `= 180\ text(cm)`

Measurement, NAPX-K2-15

Colby is 150 centimetres tall.
 

 
About how tall is his little sister Peach?

80 centimetres 90 centimetres 100 centimetres 110 centimetres
 
 
 
 
Show Answers Only

`90\ text(centimetres)`

Show Worked Solution

`text(S) text(ince Colby is 150 cm tall)`

`->\ text(Each mark) = 30\ text(cm)`
 

`:.\ text(Peach’s height)` `= 3 xx 30`
  `= 90\ text(cm)`

Statistics, NAPX-p121677v01

Bruno is in Year 5. He wants to know the most popular colour for boys in Year 5.

Which of these would best help Bruno to know the answer?

 
 Ask all the Year 5 boys and girls.
 
 Ask the Year 5 teachers.
 
 Ask all the Year 5 boys.
 
 Ask all the boys in his school.
Show Answers Only

`text(Ask all the Year 5 boys.)`

Show Worked Solution

`text(The best data will come from Year 5 boys.)`

`:.\ text(He should ask all the Year 5 boys.)`

Statistics, NAPX-K2-14

Rachel is in Year 5. She wants to know the most popular pet for students in Year 5.

First she asks 10 of her girlfriends, but Rachel wants to ask more people.

Which of these would best help Rachel to know the most popular pet for Year 5 students?

 
 Ask all the parents of her friends.
 
 Ask all the girls in her class.
 
 Ask all the girls in her school.
 
 Ask all the boys and girls in her class.
Show Answers Only

`text(Ask all the girls in her class.)`

Show Worked Solution

`text(The best data will come from asking all the students in Year 5.)`

`:.\ text(She should ask all the boys and girls in her class.)`

Probability, NAPX-p121546v01

Seven buttons, numbered 1 to 7, are placed in a bag.

Shelley picks four buttons out of the bag without looking and without replacement.

The first button is number 6.

Which of the following cannot happen?

 
 The second button is odd and higher than the first number picked.
 
 The third button is even.
 
 The second button is 1.
 
 The third button is even and higher than the first number picked.
Show Answers Only

`text(The third button is even and higher than the first number picked.)`

Show Worked Solution

`text(6 is picked first. The next higher even number is 8.)`

`text{There is not a number 8 button in the bag.}`

`:.\ text(The third button cannot be even and higher than the)`

`text(first number picked.)`

Probability, NAPX-K2-12

Eight buttons, numbered 1 to 8, are placed in a bag.

Robin picks three buttons out of the bag without looking.

Once chosen, a button is not put back into the bag.

The first button is number 2.

Which of the following cannot happen?

 
 The second button is even.
 
 The third button is 2.
 
 The second button is odd.
 
 The third button is 8.
Show Answers Only

`text(The third button is 2.)`

Show Worked Solution

`text(Once number 2 is picked, it cannot be)`

`text{picked again (no replacement).}`

`:.\ text(The third button cannot be 2.)`

Number, NAPX-p121319v02

Dorothy buys 4 water bottles for $1.10 each.

She pays for these water bottles with a $10 note.

How much change should Dorothy receive?

`$3.80` `$4.40` `$5.60` `$6.60`
 
 
 
 
Show Answers Only

`$5.60`

Show Worked Solution
`text(Change)` `= $10 – (4 xx $1.10)`
  `= $10 – $4.40`
  `= $5.60`

Number, NAPX-p121319v01

Jeeves buys 3 water bottles for $1.10 each.

He pays for these water bottles with a $5 note.

How much change should Jeeves receive?

`$1.70` `$2.30` `$2.70` `$3.30`
 
 
 
 
Show Answers Only

`$1.70`

Show Worked Solution
`text(Change)` `= $5 – (3 xx $1.10)`
  `= $5 – $3.30`
  `= $1.70`

Number, NAPX-K2-11

Sam buys 5 water bottles for $1.50 each.

He pays for these water bottles with a $10 note.

How much change should Sam receive?

`$1.50` `$2.50` `$6.00` `$7.50`
 
 
 
 
Show Answers Only

`$2.50`

Show Worked Solution
`text(Change)` `= $10 – (5 xx $1.50)`
  `= $10 – $7.50`
  `= $2.50`

Algebra, NAPX-p121307v01

Rambo is using matchsticks to make a pattern of squares.
 

 
How many matchsticks will Rambo need to make square 6?

6 20 24 28
 
 
 
 
Show Answers Only

`24`

Show Worked Solution

`text(Square 1 = 4)`

`text(Square 2 = 8)`

`text(Square 3 = 12)`

`=> 4\ text(matchsticks are added each square)`
 

`:.\ text(Square 6)\ = 6 xx 4 = 24\ text(matchsticks)`

Algebra, NAPX-K2-08

Lynx is using matchsticks to make a pattern of triangles.
 

 
How many matchsticks will Lynx need to make triangle 6?

6 9 12 13
 
 
 
 
Show Answers Only

`13`

Show Worked Solution

`text(Pattern 1 = 3)`

`text(Pattern 2 = 5)`

`text(Pattern 3 = 7)`

`=> 2\ text(matchsticks are added each pattern)`
 

`:.\ text(Triangle 6)\ = 3 + 5 xx 2 = 13\ text(matchsticks)`

Statistics, NAPX-K2-06

The table shows the time (in seconds) some children can run across a football field.
 

 
Which column graph correctly shows the data in the table?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(Considering the vertical scale of each option:)`
 

Measurement, NAPX-K2-02

Which of these holds about the same amount of water as a kettle?

 
 a teacup
 
 a spoon
 
 a wine bottle
 
 a kitchen sink
Show Answers Only

`text(a wine bottle)`

Show Worked Solution

`text(A wine bottle would hold about)`

`text(the same volume as a kettle.)`

Geometry, NAPX-p120861v01

Which net folds into a 3D object with 8 edges.

 
 
 
 
Show Answers Only

Show Worked Solution

`text(Consider the 3D object after folding in option 1:)`
 

 
`text(This 3D object has 8 edges.)`

Geometry, NAPX-H2-27

Which net folds into a 3D object with 6 edges?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(Consider the net in option 4:)`

`text(The 3D object after folding has 6 edges.)`

Number, NAPX-p120695v01

Which decimal is equivalent to `3/5`?

`0.35` `0.55` `0.60` `0.65`
 
 
 
 
Show Answers Only

`0.60`

Show Worked Solution

`text(Express as a fraction where denominator) = 100:`

`3/5` `= (3 xx 20)/(5 xx 20)`
  `= 60/100`
  `= 0.60`

Number, NAPX-I2-37

Which decimal is equivalent to  `4/5`?

`0.44` `0.45` `0.75` `0.80`
 
 
 
 
Show Answers Only

`0.80`

Show Worked Solution

`text(Express as a fraction where denominator) = 100:`

`4/5` `= (4 xx 20)/(5 xx 20)`
  `= 80/100`
  `= 0.80`

Geometry, NAPX-p120680v01

Bobby drew a chess piece that is pictured below.

He reflected the piece across the dotted line.

He rotated it 90 degrees clockwise.

Which picture below shows what it looks like after this?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(After the reflection):`

`text(After the 90° anticlockwise rotation:)`

Geometry, NAPX-I2-34

Garry drew a chess piece that is pictured below.
 

He reflected the piece across the dotted line.

He rotated it 90 degrees anticlockwise.

Which picture below shows what it looks like after this?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(After the reflection):`

`text(After the 90° anticlockwise rotation:)`

Algebra, NAPX-p117046v02

Zephyrus had 3 bird cages.

Each bird cage had 10 birds in it.

He then bought two more cages and spread the birds evenly between the 5 cages.

How many birds were then in each cage?

`5` `6` `8` `9`
 
 
 
 
Show Answers Only

`6`

Show Worked Solution
`text(Total birds)` `= 3 xx 10`
  `= 30`

 

`:.\ text(Birds in each of 5 cages)`

`= 30 ÷ 5`

`= 6`

Algebra, NAPX-p117042v01

Briony had 5 bird cages.

Each bird cage had 8 birds in it.

One of Briony's cages needed to be thrown out, and she spread the birds evenly between the remaining 4 good cages.

How many birds were then in each cage?

`6` `9` `10` `12`
 
 
 
 
Show Answers Only

`10`

Show Worked Solution
`text(Total birds)` `= 5 xx 8`
  `= 40`

 

`:.\ text(Birds in each of 4 cages)`

`= 40 ÷ 4`

`= 10`

Algebra, NAPX-H2-23

Keith kept 3 bird cages.

Each bird cage had 12 birds in it.

He then bought one more bird cage and spread the birds out evenly between the 4 cages.

How many birds were then in each cage?

`5` `6` `8` `9`
 
 
 
 
Show Answers Only

`9`

Show Worked Solution
`text(Total birds)` `= 3 xx 12`
  `= 36`

 

`:.\ text(Birds in each of 4 cages)`

`= 36 ÷ 4`

`= 9`

Algebra, NAPX-I2-33

Ambrosia wanted to measure the height of a soda can by measuring it against a section of her measuring tape.
 

 
What is the height of the soda can?

`8\ text(centimetres)` `13\ text(centimetres)` `15\ text(centimetres)` `24\ text(centimetres)`
 
 
 
 
Show Answers Only

`15\ text(centimetres)`

Show Worked Solution
`text(Height)` `= 24 – 9`
  `= 15\ text(cm)`

Number, NAPX-p116979v01

Zipper shades a fraction of a circle grey.
 

 
He then shades the same fraction of a grid.

Which grid below could could be the grid Zipper shaded?
 

 
 
 
 
Show Answers Only

Show Worked Solution

`1/3\ \ text(of the circle is shaded.)`

`text(S)text(ince the grid has 21 squares,)`

`=>\ text(Zipper’s grid must have 7 squares shaded.)`