SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Number and Algebra, NAP-G1-18

The table shows the heights of 5 children.

Who is 5 centimetres shorter than the tallest child?

`text(Greg)` `text(Marcia)` `text(Peter)` `text(Jan)` `text(Cindy)`
 
 
 
 
 
Show Answers Only

`text(Jan)`

Show Worked Solution

`text{The tallest is Greg (157 cm).}`

`=>\ text(5cm shorter is 152 cm.)`

`:.\ text(Jan is 5 cm shorter than the tallest child.)`

Measurement, NAP-G1-14

Derek used pencils to measure his desk.
 

 
What is the total length of all four sides?

 
 `text(9 pencils)`
 
 `text(11 pencils)`
 
 `text(13 pencils)`
 
 `text(15 pencils)`
 
 `text(18 pencils)`
Show Answers Only

`text(18 pencils)`

Show Worked Solution

`text(Length of all 4 sides)`

`=6+3+6+3`

`=18\ text(pencils)`

Number and Algebra, NAP-G1-13

Wayne needs to buy 14 pairs of socks for the players in his soccer team.

The socks are sold in packets of 3.

How many packets does Wayne need to buy?

`4` `5` `17` `42`
 
 
 
 
Show Answers Only

`5`

Show Worked Solution

`text(Socks in 4 packets)`

`= 4 xx 3 = 12`

`text(Socks in 5 packets)`

`= 5 xx 3 = 15`
 

`:. 5\ text(packets are needed.)`

Measurement, NAP-H1-17

Stella's birthday is on the 30th of March.

Blanche's birthday is four days after Stella's.
 

 
Which day of the week is Blanche's birthday in 2014?

`text(Saturday)` `text(Sunday)` `text(Monday)` `text(Tuesday)`
 
 
 
 
Show Answers Only

`text(Monday)`

Show Worked Solution

`text(30th March ⇒ Thursday)`

`text(One day after ⇒ Friday)`

`text(Two days after ⇒ Saturday)`

`vdots`

`text(Four days after ⇒ Monday)`

Number and Algebra, NAP-H1-15

Bryan had $24 at the start of his holiday.

He spent $4 each day.

How many days did it take for Bryan to spend all his money?

`4` `6` `8` `20` `28`
 
 
 
 
 
Show Answers Only

`6`

Show Worked Solution
`text(Number of days)` `=24 -: 4`
  `=6\ text(days)`

Statistics, NAP-H1-13

Four people go fishing.

They put an `X` on the chart for each fish they catch.

 

Andrea caught more fish than Mandy but less than Andrew.

How many fish did Andrea catch?

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

`3`

Show Worked Solution

`text(Andrea caught more than Mandy.)`

`=>\ text(more than 2)`

`text(Andrea caught less than Andrew.)`

`=>\ text(less than 4)`

`:.\ text(Andrea caught 3 fish.)`

Number and Algebra, NAP-I1-16

A teacher gives 4 of her students 8 pieces of cardboard each.

Which of the following can be used to find how many pieces of cardboard the teacher gave her students?

 
 `4 + 8`
 
 `4 + 4 + 4 + 4`
 
 `8 + 8 + 8 + 8`
 
 `8 + 8 + 8 + 8 + 8 + 8 + 8 + 8`
Show Answers Only

`8 + 8 + 8 + 8`

Show Worked Solution

`text(Total pieces of cardboard)`

`= 4 xx 8`

`= 8 + 8 + 8 + 8`

Number and Algebra, NAP-I1-13 SA

The scales below are evenly balanced.

What is the weight of the small cube?

  grams
Show Answers Only

`text(13 grams)`

Show Worked Solution

`text(S)text(ince the scales are evenly balanced,)`

`36` `= 23 + text(weight of small cube)`

 

`:.\ text(Weight of small cube)` `= 36 – 23`
  `= 13\ text(grams)`

Measurement, NAP-B2-05

Jenny has an appointment on the third Wednesday of March.
 

 
 

What date is her appointment on?

`2^text(nd)\ text(March)` `9^text(th)\ text(March)` `16^text(th)\ text(March)` `23^text(rd)\ text(March)` 
 
 
 
 
Show Answers Only

`16^text(th)\ text(March)`

Show Worked Solution

`16^text(th)\ text(March)`

Number and Algebra, NAP-C2-5

Sandy has the exact coins below in her pocket.
 

 
She buys fruit for lunch that costs $1.75.

How much money does Sandy have left?

`$0.80` `$1.00` `$1.10` `$1.20`
 
 
 
 
Show Answers Only

`$1.20`

Show Worked Solution

`$1 xx 1 = $1`

`50¢ xx 3 = $1.50`

`20¢ xx 1 = 20¢`

`10¢ xx 2 = 20¢`

`5¢ xx 1 = 5¢`

 

`text(Total worth of coins)`

`= $1 + $1.50 + 20¢ + 20¢ + 5¢`

`= $2.95`

`:.\ text(Money left)` `=$2.95 – $1.75`
  `=$1.20`

Geometry, NAP-F2-09

Gary is drawing 3 triangles on grid paper without crossing the sides of any other triangles.

He has 2 more points to join.

One of these is F5.
 

 
What is the other point?

`text(A5)` `text(C5)` `text(E2)` `text(F2)`
 
 
 
 
Show Answers Only

`text(E2)`

Show Worked Solution

`text(E2)`

Probability, NAP-F2-07

The weather report says there is 80% chance of rain tomorrow.

Which of these describes the chance of it raining tomorrow?

`text(impossible)` `text(unlikely)` `text(likely)` `text(certain)`
 
 
 
 
Show Answers Only

`text(likely)`

Show Worked Solution

`text(Anything over 50% chance is more likely than)`

`text(not of happening. Anything that is certain of)`

`text(happening must be 100% chance.)`

`:.\ text(80% chance is “likely”.)`

Geometry, NAP-F2-05

Amos makes a model with 7 white cubes and 2 grey cubes.
 

 

Amos turns his model around.
 

 
Which two numbers shows the positions of the grey cubes?

 
   and  
 
Show Answers Only

`text(3 and 9)`

Show Worked Solution

`text(3 and 9)`

Number and Algebra, NAP-F2-04

Five surfers owned a total of 58 surfboards between them.

Two of the surfers owned 20 surfboards each.

The other three, Lane, Gordon and Shelly, owned the same number of surfboards.

How many surfboards does Gordon own?

`6` `8` `12` `38`
 
 
 
 
Show Answers Only

`6`

Show Worked Solution

`text(2 surfers own 20 boards each)\ = 40\ text(boards)`

`:.\ text(Surfboards owned by Gordon)`

`= (58-40) ÷ 3`

`=18 -: 3`

`= 6`

Statistics, NAP-E2-13

A combined year 5 and year 6 class were asked a question in a survey.

The first seven answers were

`9, 12, 10, 11, 11, 12, 11`

Which one of these questions could have been asked?

 
 Are you left or right handed?
 
 How many centimetres tall are you?
 
 What is your favourite colour?
 
 How many years old are you?
Show Answers Only

`text(How many years old are you?)`

Show Worked Solution

`text(How many years old are you?)`

Number and Algebra, NAP-G2-07

Wayne needs to buy 14 pairs of socks for the players in his soccer team.

The socks are sold in packets of 3.

How many packets does Wayne need to buy?

`4` `5` `17` `42`
 
 
 
 
Show Answers Only

`5`

Show Worked Solution

`text(Socks in 4 packets)`

`=4 xx 3 = 12`

`text(Socks in 5 packets)`

`=5 xx 3= 15`

 

`:.\ text(5 packets are needed.)`

Statistics, NAP-G2-05

The runs scored by Ricky and Steve in 4 games of cricket are recorded in the table below.

In which game did Ricky score 8 more runs than Steve?

`text(Game 1)` `text(Game 2)` `text(Game 3)` `text(Game 4)`
 
 
 
 
Show Answers Only

`text(Game 4)`

Show Worked Solution

`text(Consider Game 4,)`

`38 – 30 = 8`

`:.\ text(Ricky scored 8 more runs than Steve)`

`text(in Game 4.)`

Statistics, NAP-D2-13

Benson asked his friends what their favourite ice cream flavour was.

He recorded their answers in the table below but left off same labels.

Benson remembered that

  • strawberry was the least liked flavour
  • chocolate was the most liked flavour
  • vanilla was more liked than caramel

How many of Benson's friends liked caramel the most?
Show Answers Only

`8`

Show Worked Solution

`text(Using the graph and the information given,)`

`=>\ text(7 preferred strawberry,)`

`=>\ text(13 preferred chocolate.)`

`:.\ text(11 preferred vanilla and 8 liked caramel the most.)`

Number and Algebra, NAP-I2-11

George has no money in his bank account.

He deposits $6 in his account in week 1.

He then deposits twice the amount into his account each week than he did the previous week.

The total amount in his account is?

 
 always odd.
 
 always even.
 
 sometimes odd and sometimes even.
Show Answers Only

`text(always even.)`

Show Worked Solution

`text(In each successive week, an even number will)`

`text(will be added to an existing even number.)`

`:.\ text(His account total will always be even.)`

Number and Algebra, NAP-I2-9

Olivia was the top scorer in her soccer team over two seasons.

In season 1, she scored 25 goals.

In season 2, she scored 35 goals.

Which number sentence could be used to find the total number of goals she scored over both seasons?

 
 `20 + 30 = 50`
 
 `30 + 40 = 70`
 
 `20 + 30 + 5 = 55`
 
 `20 + 30 + 10 = 60`
Show Answers Only

`20 + 30 + 10 = 60`

Show Worked Solution
`25+35` `=20+5+30+5`
  `=20+30+10`
  `=60`

 
`:. 20 + 30 +10=60`

Number and Algebra, NAP-I2-6

The world record for the most push-ups ever completed in one hour is three thousand and ninety-two.
 

 
The number of push-ups can be written as:

`392` `3092` `3920` `30\ 092`
 
 
 
 
Show Answers Only

`3092`

Show Worked Solution

`text(Three thousand and ninety-two contains:)`

`=>\ text(3 “thousands”)`

`=>\ text(0 “hundreds”)`

`=>\ text(9 “tens”)`

`=>\ text(2 “ones”)`

`:. 3092`

Number and Algebra, NAP-I2-01

Bojacks lives in South Australia and receives 10 cents for every glass bottle that he takes to the recycling depot.

Bojacks recycles 28 glass bottles.

How much money will he receive?

`28 ¢` `$2.80` `$28` `$280`
 
 
 
 
Show Answers Only

`$2.80`

Show Worked Solution

`28 xx 10\ text(cents)`

`= 280\ text(cents)`

`= $2.80`

Number and Algebra, NAP-D2-10

A chocolate bar has a mass of 100 grams.

The dotted line shows where Sharon cuts the chocolate bar.
 

 
Sharon takes the larger piece.

About what mass is Sharon's piece of chocolate?

`text(30 grams)` `text(50 grams)` `text(70 grams)` `text(90 grams)`
 
 
 
 
Show Answers Only

`text(70 grams)`

Show Worked Solution

`text(The cut is on a line where the smaller piece is)`

`text{just over one quarter (25 g) of the chocolate bar.}`

`:.\ text(The larger piece is about 70 grams.)`

Measurement, NAP-D2-07

A Summer Camp is split into four colour teams, red, yellow, blue and green.

Which teams has archery lessons first?

`text(Red)` `text(Yellow)` `text(Blue)` `text(Green)`
 
 
 
 
Show Answers Only

`text(Blue)`

Show Worked Solution

`text(Archery is earliest at 11:00 am.)`

`:.\ text(Blue has archery first.)`

Geometry, NAP-D2-06

Kate is going to draw the other half of this picture so that the picture is symmetrical.

In which square should she draw the other dark spot on the butterfly's wings.

`text(A5)` `text(B5)` `text(C5)` `text(D5)`
 
 
 
 
Show Answers Only

`text(B5)`

Show Worked Solution

`text(B5)`

Statistics, NAP-C4-NC02

This diagram shows the proportion of milkshake flavours sold by a corner store over a 1 month period.
 

 
Which flavour makes up 55% of the milkshakes sold?

vanilla strawberry caramel chocolate
 
 
 
 
Show Answers Only

`text(Chocolate)`

Show Worked Solution

`text(Chocolate)`

Statistics, NAP-D3-CA02

The table below shows the number of car accidents reported in four country towns in June.
 

 
 

Which country town had about 70 reported car accidents in June?

`text(Dubbo)` `text(Warren)` `text(Bourke)` `text(Dunedoo)`
 
 
 
 
Show Answers Only

`text(Warren)`

Show Worked Solution
`3.5\ text(cars)` `= 3.5 xx 20`
  `= 70\ text(accidents)`

 

`:.\ text(Warren had about 70 reported car accidents.)`