SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Number and Algebra, NAP-B1-21

What is the difference between the most sick days and the least sick days?

`11` `12` `13` `14`
 
 
 
 
Show Answers Only

`13`

Show Worked Solution

`text{Most sick days (Bella) = 15}`

`text{Least sick days (Kim) = 2}`

`:.\ text(Difference)` `= 15 – 2`
  `= 13`

Number and Algebra, NAP-B1-18

4 groups of 6 plums is the same number of plums as 3 groups of

`8` `6` `4` `3`
 
 
 
 
Show Answers Only

`8`

Show Worked Solution
`text(Number of plums)` `= 4 xx 6`
  `= 24`

`text(If 3 groups,)`

`text(Number in each group)`

`= 24 ÷ 3`

`= 8`

Probability, NAP-C1-22

Rudolph takes 4 marbles out of the bag at the same time.

Which of these is impossible?

 
 3 striped marbles and 1 white marble.
 
 3 white marbles and 1 grey marble.
 
 2 star marbles and 2 white marbles.
 
 2 striped marbles and 2 grey marbles.
Show Answers Only

`text(2 striped marbles and 2 grey marbles.)`

Show Worked Solution

`text{S}text{ince there is only 1 grey marble in the bag,}`

`text(2 striped marbles and 2 grey marbles is impossible.)`

Measurement, NAP-C1-19

Simon makes a calendar for March but forgets to label the days of the week.

He knows the 2nd of March is a Thursday.

What day of the week is 20 March?

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

`text(Monday)`

Show Worked Solution

`text(Monday)`

Statistics, NAP-C1-16

Some students at a country school were asked to name their favourite animal.

The four most popular choices were put on the graph below.

  • Dogs were the most popular.
  • Sheep were more popular than cats.
  • Horses were less popular than sheep.

Which column shows sheep on the graph?
 

 

`text(A)` `text(B)` `text(C)` `text(D)`
 
 
 
 
Show Answers Only

`text(B)`

Show Worked Solution

`text(Column D is dogs.)`

`text(S)text(ince horses are less popular than sheep)`

`text(and sheep are more popular than cats.)`

`=>\ text(Sheep are more popular than horses and cats.)`

`=>\ text(Column B is sheep.)`

Number and Algebra, NAP-C1-13

Bobby has 76 football cards.

Shania has 117 football cards.

How many football cards do Bobby and Shania have altogether?

`183` `184` `193` `194`
 
 
 
 
Show Answers Only

`193`

Show Worked Solution
`text(Total cards)` `=117+76`
  `=187+6`
  `=193`

Number and Algebra, NAP-D1-23 SA

Kelly is buying tennis balls from the sporting goods shop.

It costs $12 to buy 4 balls.

If each ball costs the same, how many tennis balls can Kelly buy for $60?
Show Answers Only

`20`

Show Worked Solution
`text(C)text(ost of 1 ball)` `= 12 ÷ 4`
  `=$3`

 

`:.\ text(Number of balls she can buy)`

`= 60 ÷ 3`

`= 20`

Number and Algebra, NAP-D1-16

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.)`

Number and Algebra, NAP-E1-24

Siri has this much money.

She buys a drink for $1.25.

How much money does Siri have left?

`text(75 cents)` `text(85 cents)` `text(90 cents)` `text(95 cents)`
 
 
 
 
Show Answers Only

`text(85 cents)`

Show Worked Solution

`text(Money Siri has at the start)`

`=$1+50¢+20¢+20¢+10¢+10¢`

`=$2.10`

`text(Money left after buying a drink)`

`=$2.10 – $1.25`

`=85\ text(cents)`

Number and Algebra, NAP-E1-23

In Year 3 there are 17 more girls than boys.

Ari knows there are 35 girls.

How can Ari work out the number of boys in Year 3.

 
 `text(add 35 to 17)`
 
 `text(subtract 17 from 35)`
 
 `text(multiply 17 by 35)`
 
 `text(divide 35 by 17)`
Show Answers Only

`text(subtract 17 from 35)`

Show Worked Solution

`text(subtract 17 from 35)`

Statistics, NAP-E1-22

4 friends practiced taking soccer penalty goals.

They took 8 penalty with their right foot and another 8 penalty goals with their left foot.

The results are shown in the graph below.

Who scored the most penalty goals?

`text(Lionel)` `text(Kane)` `text(Tim)` `text(Pele)`
 
 
 
 
Show Answers Only

`text(Pele)`

Show Worked Solution

`text(Consider each player:)`

`text(Lionel = 3 + 7 = 10)`

`text(Kane = 6 + 4 = 10)`

`text(Tim = 7 + 2 = 9)`

`text(Pele = 6 + 5 = 11)`

`:.\ text(Pele scored the mosh penalty goals.)`

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`
 
 
 
 
Show Answers Only

`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.)`

Measurement, NAP-F1-26

Lionel's soccer grand final is on the 4th September.
 


 

Lionel has a grand final breakfast for fans 5 days before the grand final.

What day of the week is Lionel's grand final breakfast for fans?

 
 `text(Thursday)`
 
 `text(Wednesday)`
 
 `text(Tuesday)`
 
 `text(Monday)`
 
 `text(Sunday)`
Show Answers Only

`text(Monday)`

Show Worked Solution

`text(1 day before is Friday.)`

`text(2 days before is Thursday.)`

`vdots`

`text(5 days before is Monday.)`

Measurement and Geometry, NAP-F1-25

Using this measuring tape, how long is the calculator?

`text(5 cm)` `text(11 cm)` `text(13 cm)` `text(18 cm)`
 
 
 
 
Show Answers Only

`text(13 cm)`

Show Worked Solution

`text(Length of calculator)`

`= 18 – 5`

`= 13\ text(cm)`

Statistics, NAP-F1-22

A year 7 class is split into boys and girls and each group collected butterflies in a jar.

The total number of butterflies in each jar is put in the table below.

How many more butterflies did the boys catch than the girls?

`5` `6` `7` `9`
 
 
 
 
Show Answers Only

`9`

Show Worked Solution

`text(Butterflies in the boys’ jar)`

`=7 xx 2 = 14`

`text(Butteflies in the girls’ jar)`

`=2.5 xx 2 = 5`

 

`:.\ text(The boys caught 9 more butterflies.)`

Statistics, NAP-G1-22

This table shows the main sport in Winter for 600 students.

Which of these is true?

 
 Most students played netball.
 
 More students swam than played AFL.
 
 Less students played soccer than netball.
 
 More than half the students played soccer.
Show Answers Only

`text(More students swam than played AFL.)`

Show Worked Solution

`text(More students swam than played AFL.)`

Measurement, NAP-G1-20

Roger's birthday is on the third of June.

Bonnie's birthday is 5 days before Roger's birthday.

On which day of the week is Bonnie's birthday?

`text(Sunday)` `text(Monday)` `text(Tuesday)` `text(Wednesday)` `text(Thursday)`
 
 
 
 
 
Show Answers Only

`text(Tuesday)`

Show Worked Solution

`text(Sunday – Roger’s birthday)`

`text(Saturday – 1 day before)`

`text(Friday – 2 days before)`

`vdots`

`text(Tuesday – 5 days before)`

Measurement, NAP-H1-24

Which of these is closest to the mass of the two litre bottle of milk pictured below?

`text(2 grams)` `text(20 grams)` `text(2 kilograms)` `text(20 kilograms)`
 
 
 
 
Show Answers Only

`text(2 kilograms)`

Show Worked Solution

`text(A litre contains 1000 milliliters and each)`

`text(millilitre is equal to about 1 gram.)`

`:. 2\ text(litres is equal to 2000 grams = 2 kilograms.)`

Number and Algebra, NAP-H1-22

Joel has only these coins.

Joel buys a bottle of soda for $2.25 and a lollipop for 35 cents.

How much money does Joel have left?

`text(65 cents)` `text(80 cents)` `text(90 cents)` `$2.70` `$3.25`
 
 
 
 
 
Show Answers Only

`text(65 cents)`

Show Worked Solution

`text(Total money before spending)`

`=50¢ + $2 +20¢ + 10¢+ 20¢ + 5¢ + 20¢`

`= $3.25`

`text(C)text(ost of soda and lollipop)`

`= $2.25 + 35¢`

`=$2.60`

`:.\ text(Money left)` `=$3.25 – $2.60`
  `=65¢`

Probability, NAP-I1-27

Tom tossed a fair coin four times.

He tossed four tails in a row.

Which of the following is true for Tom's 5th flip?

 
 Tom is most likely to flip a tail.
 
 Tom is most likely to flip a head.
 
 Both a head or a tail are equally likely to win.
Show Answers Only

`text(Both a head or a tail are equally likely to win.)`

Show Worked Solution

`text(Every toss of a fair coin has an equal chance)`

`text(of being a head or tail.)`

`:.\ text(Both a head or a tail are equally likely to win.)`

Number and Algebra, NAP-I1-26

Harriet and Eva have 44 toys altogether.

Harriet has 29 toys.

Which number sentence can be used to find the number of toys Eva has?

`44 - 29 = 15` `44 + 29 = 73` `29 - 44 = 15` `29 - 15 = 14`
 
 
 
 
Show Answers Only

`44 – 29 = 15`

Show Worked Solution
`text(Eva’s toys)` `=44-29`
  `=15`

Measurement, NAP-I1-25

Dean balances four objects on a set of scales, as pictured below.
 


 

Which object is the heaviest?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(The following logic solves the problem:)`

`text(Money bag weighs more than the gold bar.)`

`text(Bowling ball is the same weight as the money bag.)`

`text(Lead weight is heavier than the bowling ball.)`

`=>\ text(Lead weight must be heaviest.)`

Number and Algebra, NAP-I1-21

In a soccer competition, there were 5 teams.

Over the season, a total of 55 goals were scored.

Each team scored the same number of goals for the season.

How many goals did each team score?

`60` `50` `12` `11`
 
 
 
 
Show Answers Only

`11`

Show Worked Solution

`text(Goal scored by each team)`

`= 55 ÷ 5`

`= 11`

Number and Algebra, NAP-I1-19

Emma uses the number sentence  `8 xx 4 = 32`  to solve a problem.

Which of the problems below would the number sentence solve?

 
 Emma has 8 students and gets 4 more.
How many students does she have now?
 
 Emma has 8 students. She gives each of them 4 pencils.
How many pencils does Emma give to her students?
 
 Emma has 8 pencils. She shares them with 4 students.
How many pencils does each student get?
 
 Emma has 8 pencils and gives 4 away.
How many pencils does she have now?
Show Answers Only

`text(Emma has 8 students. She gives each of them 4 pencils.)`

`text(How many pencils does Emma give to her students?)`

Show Worked Solution

`text(If Emma has 8 students, and gives each of them)`

`text(4 pencils,)`

`text(Pencils given away)` `= 8 xx 4`
`=> 32` `= 8 xx 4`

Number and Algebra, NAP-H1-28

Conrad created a number pattern by adding four to a number to get the next number.

Which of these could be the first four numbers of Conrad's pattern?

`4, 14, 24, 34` `5, 9, 14, 20` `7, 12, 17, 22` `9, 13, 17, 21`
 
 
 
 
Show Answers Only

`9, 13, 17, 21`

Show Worked Solution

`9+4=13`

`13+4=17`

`17+4=21`

`:.\ text(Conrad’s pattern is:  9, 13, 17, 21)`

Number and Algebra, NAP-H1-21

Michelle, Lucy, Clare and Steph are sisters.

The years they were born are recorded in the table below.

Who is the second youngest sister?

`text(Michelle)` `text(Lucy)` `text(Clare)` `text(Steph)`
 
 
 
 
Show Answers Only

`text(Lucy)`

Show Worked Solution

`text(The order from oldest to youngest is:)`

`text{Clare (1977), Michelle (1978), Lucy (1987), Steph (1988).}`

`:.\ text(Lucy is the second youngest.)`