SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Geometry, NAPX-p167252v02

A certain plane rises 2 metres for every 12 metres of its base length.

If it rises by 1.6 metres, what will be its base length?

 
 12.4 m
 
 10.8 m
 
   9.6 m
 
   8.4 m

Show Answers Only

`text(9.6 m)`

Show Worked Solution

`text(Every 2 metres of height → 12 metres of base)`

`text(Every 1 metre of height → 6 metres of base)`

`:.\ text(Base length)` `= 1.6 xx 6`  
  `=9.6\ text(m)`  

Geometry, NAPX-p167252v01

A one-metre tall person casts a 4-metres shadow on level ground.

If a 1.8 metre tall person stands at the same position, how long will the shadow be?

 
 6.8 m
 
 7.2 m
 
 8.0 m
 
 8.6 m

Show Answers Only

`text(7.2 m)`

Show Worked Solution

`text(1 metre height → 4 metre shadow)`

`:.\ text(1.8 m height shadow)` `= 1.8 xx 4`  
  `=7.2/ text(m)`  

Number, NAPX-p109105v02

William has a St Bernard puppy that weighs 25 kilograms.

After another 8 months, the St Bernard weighs 12% more.

How much does the dog weigh now?

 
 28 kg
 
 30 kg
 
 32 kg
 
 37 kg

Show Answers Only

`text(28 kg)`

Show Worked Solution
`text(Weight)` `= 25 + (25 xx 12text(%))`
  `= 25 + 3`
  `= 28\ text(kg)`

 
`:.\ text(The weight of the St Bernard after 8 months is 28 kilograms.)`

Number, NAPX-p109105v01

Paul’s height is 146 centimetres when he was 15 years old.

On his 18th birthday he was 10% taller than when he was at 15 years old.

How tall was Paul when he was 18?

 
 160.6 cm
 
 150.8 cm
 
 168.2 cm
 
 180.3 cm

Show Answers Only

`text(160.6 cm)`

Show Worked Solution
`text(Pauls new height)` `= 146 + (146 xx 10text(%))`
  `= 146 + 14.6`
  `= 160.6\ text(cm)`

 
`:.\ text(Paul’s height on his 18th birthday is 160.6 centimetres.)`

Statistics, NAP-L4-CA21

Mr Squiggle bought 13 pencils.

He bought:

  • one packet of 10 pencils for $14.50, and
  • another packet of 3 pencils for $5.65

What is the mean price of the 13 pencils?

`$1.45` `$1.50` `$1.55` `$1.88`
 
 
 
 
Show Answers Only

`$1.55`

Show Worked Solution
`text(Total cost)` `= 14.50 + 5.65`
  `= $20.15`
   
`:.\ text(Mean price)` `= 20.15/13`
  `= $1.55`

Number, NAP-L4-NC02

Malcolm uses a travel card to pay for his train trips.

At the beginning of the day, he has a balance of $20 on his travel card.

Malcolm makes 3 trips that day.

Each trip costs $2.40

Which sequence shows the balance on his card at different times on that day?

 
 $17.60, $15.20, $12.80
 
 $17.60, $15.20, $13.80
 
 $18.60, $16.20, $13.80
 
 $18.60, $16.20, $14.80
Show Answers Only

`$17.60, $15.20, $12.80`

Show Worked Solution

`text(Balance after 1st trip) = $20 – 2.40 = $17.60`

`text(Balance after 2nd trip) = $17.60 – 2.40 = $15.20`

`text(Balance after 3rd trip) = $15.20 – 2.40 = $12.80`

`:.\ text(Sequence is):  $17.60, $15.20, $12.80`

Geometry, NAP-L4-CA15

Craig is a town planner and needs to know the angles that streets make with each other.
 


 

He knows that Tombs Street and Horan Street are parallel.

What is the size of the shaded angle on the map?

`60^@` `45^@` `30^@` `120^@`
 
 
 
 
Show Answers Only

`60^@`

Show Worked Solution

`text(Corresponding angles are equal.)`

`:.\ text(Shaded angle) = 60°`

Number, NAP-L4-NC03

Santana is buying a guitar string.

Some of the strings are on sale.

Select the string that will be cheapest.
 

 
 
 
 
Show Answers Only

`text(Sale: take 20% off)`

Show Worked Solution

`text(C)text(ost of each option:)`

`$17`

`$35\ text(less 50%) = $17.50`

`text($20 less 20%) = 20 – 4 = $16`

`text($24 less 25%) = 24 – 6 = $18`

`:.\ text(Sale: take 20% off is the cheapest string.)`

Geometry, NAP-L4-CA13

Kransky has a photo which is 25 cm wide and 10 cm high

He wants to enlarge it to make a poster with a width of 50 cm.

What will be the height of the poster?

`text(20 cm)` `text(25 cm)` `text(75 cm)` `text(125 cm)`
 
 
 
 
Show Answers Only

`text(20 cm)`

Show Worked Solution
`text(Scale factor)` `= text(new width)/text(old width)`
  `= 50/25`
  `= 2`

 

`:.\ text(New height)` `= 2 xx 10`
  `= 20\ text(cm)`

Algebra, NAP-L4-CA12

A kayak can be hired for different numbers of hours, as shown in the table below.

Select the answer that shows how to calculate the cost of hiring a kayak.

 
 number of hours multiplied by $30
 
 $10 for every hour plus an extra $30
 
 number of hours multiplied by $10
 
 $10 for every hour plus an extra $20
Show Answers Only

`text($10 for every hour plus an extra $20)`

Show Worked Solution

`text($10 for every hour plus $20)`

`text(Test):`

`2\ text(hours) = 2 xx 10 + 20 = $40`  ✔

`5\ text(hours) = 5 xx 10 + 20 = $70`  ✔

Number, NAP-L3-NC03

Santana is buying a guitar string.

Some of the strings are on sale.

Select the string that will be cheapest.
 

 
 
 
 
Show Answers Only

`text(Sale: take 20% off)`

Show Worked Solution

`text(C)text(ost of each option:)`

`$17`

`$35\ text(less 50%) = $17.50`

`text($20 less 20%) = 20 – 4 = $16`

`text($24 less 25%) = 24 – 6 = $18`

`:.\ text(Sale: take 20% off is the cheapest string.)`

Number, NAP-L4-CA18

A little athletics club is established in a town.

In the first week, 5 girls and 6 boys joined the club.

In the second week, another 4 boys and some more girls joined the club.

The number of girls in the club was now double the number of boys.

How many girls joined the club in the second week?

7 15 17 20
 
 
 
 
Show Answers Only

`15`

Show Worked Solution

`text(1st week → 6 boys.)`

`text(2nd week → 6 + 4 = 10 boys.)`

`text(Total girls in 2nd week)`

`= 2 xx 10`

`= 20`
 

`:.\ text(Girls joining in 2nd week)`

`= 20 – 5`

`= 15`

Number, NAP-L3-CA29

A little athletics club is established in a town.

In the first week, 5 girls and 6 boys joined the club.

In the second week, another 4 boys and some more girls joined the club.

The number of girls in the club was now double the number of boys.

How many girls joined the club in the second week?

7 15 17 20
 
 
 
 
Show Answers Only

`15`

Show Worked Solution

`text(1st week → 6 boys.)`

`text(2nd week → 6 + 4 = 10 boys.)`

`text(Total girls in 2nd week)`

`= 2 xx 10`

`= 20`
 

`:.\ text(Girls joining in 2nd week)`

`= 20 – 5`

`= 15`

Geometry, NAP-L3-CA24

This shape will be translated 4 units to the right and 2 units up.

Where will the image of the point `A` be located after the shape is translated?

`(−3,1)` `(1,−3)` `(−1,1)` `(1,−1)` `(2,−3)`
 
 
 
 
 
Show Answers Only

`(1,−3)`

Show Worked Solution

`text(Current position)\ A(−3,−5)`

`text(Translate 4 units to right:)`

`A(−3 + 4,−5) \ -> \ A(1,−5)`

`text(Translate 2 units up:)`

`A(1,−5+2 ) \ -> \ A(1,−3)`
 

`:. text(Image of)\ \ A\ \ text(is)\ \ (1,−3)`

Number, NAP-L4-CA09

Ralph is reading the outside temperature on his skiing holiday.

What is the value of the point marked `A` on this temperature scale?
 

 

`-7.8^@text(C)` `-7.4^@text(C)` `-8.1^@text(C)` `-8.2^@text(C)`
 
 
 
 
Show Answers Only

`-7.8^@text(C)`

Show Worked Solution
`text(Each increment)` `= 0.2^@text(C)`
`:.\ text(Value of)\ A` `= -8 + 0.2`
  `= -7.8^@text(C)`

Number, NAP-L3-CA21

Zoey scored 88% on her Geography exam.

If she achieved the same mark on her French exam, which of these could have been her mark?

`68/80` `70/80` `45/50` `40/50` `44/50`
 
 
 
 
 
Show Answers Only

`44/50`

Show Worked Solution
`88text(%)` `= 88/100`
  `= 44/50`

Geometry, NAP-L3-CA19

Veronique makes this object from paper.

Which net could Veronique have used to make this object?

                   
 
 
                           
 
 
Show Answers Only

Show Worked Solution

`text(The net must have 8 faces.)`

`:.\ text(By elimination, the net must be:)`

Number, NAP-L3-CA14

Data was gathered on the country of origin of cowboys competing in a rodeo in Australia.

The data showed that in one particular year:

    • `2/15` of all the cowboys came from Canada.
    • `1/10` of all cowboys came from the USA.

Select the correct statement about the cowboys competing in the rodeo in that year.

 
 More cowboys came from the USA than from Canada.
 
 More cowboys came from Canada than from the USA.
 
 The number of cowboys from Canada and the USA was the same.
 
 It is not possible to tell whether more cowboys came from Canada than the USA.
Show Answers Only

`text(More cowboys came from Canada than from the USA.)`

Show Worked Solution

`text(S)text(ince)\ \ 2/15 > 1/10`

`=>\ text(more cowboy came from Canada.)`

Statistics, NAP-L3-CA12

Ms Granger measured and recorded the heights of all the students in her class, in centimetres.

She made a dot plot to show the heights of these 32 children.
 

   
 

What fraction of the students' heights are greater than 145 centimetres and less than 150?

`1/8` `1/4` `1/3` `1/2`
 
 
 
 
Show Answers Only

`1/4`

Show Worked Solution
`text(Fraction)` `= (text(Students with height 145-150))/text(Total students)`
  `= 8/32`
  `= 1/4`

 
`text{(Note students with heights of 145 or 150 are not included)}`

Statistics, NAP-L4-CA10

In Wadonga, there are 29 538 people.

Each day, the average person uses 168 litres of water.

Which of these gives the best estimate for the total number of litres of water used in Wadonga each day?

`30\ 000 xx 200` `30\ 000 xx 100` `30\ 000 ÷ 200` `30\ 000 ÷ 100`
 
 
 
 
Show Answers Only

`30\ 000 xx 200`

Show Worked Solution
`text(Total litres)` `=\ text(litres per person × total people)`  
  `= 30\ 000 xx 200`  
     

`text{(168 is closer to 200 than 100 and}`

  `text{will give a better estimate.)}`

Statistics, NAP-L3-CA10

In Wadonga, there are 29 538 people.

Each day, the average person uses 168 litres of water.

Which of these gives the best estimate for the total number of litres of water used in Wadonga each day?

`30\ 000 xx 200` `30\ 000 xx 100` `30\ 000 ÷ 200` `30\ 000 ÷ 100`
 
 
 
 
Show Answers Only

`30\ 000 xx 200`

Show Worked Solution
`text(Total litres)` `=\ text(litres per person × total people)`  
  `= 30\ 000 xx 200`  
     

`text{(168 is closer to 200 than 100 and}`

  `text{will give a better estimate.)}`

Number and Algebra, NAP-J2-37

A new hammock costs $155.
 

 
Clive has $79.

Which two number sentences can be solved to find the amount of money Clive still needs to buy the hammock?

Shade two bubbles.

 
 `$155 - $79 =`
 
 
 
  `- $79= $155`
 
 `$155 + $79=`
 
 
 `$79 +` 
 
 `= $155`
Show Answers Only
`$155 – $79 =`
 
`$79 +` 
 
 `= $155`
Show Worked Solution
`$155 – $79 =`
 
`$79 +` 
 
 `= $155`

Measurement, NAP-J2-36

A company produces steel rods in various lengths.

The most common lengths are 850 millimetres, 80 centimetres, 180 centimetres, 0.855 metres and 1.5 metres.

Which steel rod is the longest?

 
 850 millimetres
 
 80 centimetres
 
 180 centimetres
 
 0.855 metres
 
 1.5 metres
Show Answers Only

`text(180 centimetres)`

Show Worked Solution

`text(Converting all options to metres:)`

`text(850 mm)`  `=0.85\ text(m)`
`text(80 cm)` `=0.8\ text(m)`
`text(180 cm)` `= 1.8\ text(m)`
`text(0.855 m)`
`text(1.5 m)`

 
`:.\ text(Longest rod is 180 cm)`

Number and Algebra, NAP-J2-33

A cricket kit has white, pink and red cricket balls.

There are:

  • 3 more white balls than pink
  • 7 fewer pink balls than red
  • 15 red balls

How many balls, in total, are in the kit?

`19` `24` `25` `34` `39`
 
 
 
 
 
Show Answers Only

`34`

Show Worked Solution

`text{15 red balls (given)}`

`=> 15 – 7 = 8\ text(pink balls)`

`=> 8 + 3 = 11\ text(white balls)`
 

`:.\ text(Total balls)` `= 15 + 8 + 11`
  `= 34`

Number and Algebra, NAP-J2-24

Jim earned $14 each time he mowed a lawn in his neighbourhood.

Jim mowed 3 different lawns 2 times each.

How much money did Jim earn?

$   
Show Answers Only

`$84`

Show Worked Solution

`text(Total amount Jim earned)`

`= 3 xx 2 xx 14`

`= $84`

Measurement, NAP-K2-29

Matt is travelling from Newcastle to Hamilton Island.

He must take two flights, one from Newcastle to Brisbane and one from Brisbane to Hamilton Island.

Matt's flight schedule is shown.
 

 
What is Matt's total flying time?

 
 1 hour 15 minutes
 
 1 hour 55 minutes
 
 2 hours 10 minutes
 
 2 hours 15 minutes
 
 3 hours 10 minutes
Show Answers Only

`text(3 hours 10 minutes)`

Show Worked Solution

`text(Newcastle → Brisbane)`

`text(9:30 am − 10:45 am = 1 hr 15 m)`
 

`text(Brisbane → Hamilton Island)`

`text(11:45 am − 1:40 pm = 1 hr 55 m)`
 

`:.\ text(Total flying time)`

`= 1:15 + 1:55`

`= 3\ text(hours 10 minutes)`

Number and Algebra, NAP-K2-25

A hot air balloon is 25.2 metres high.

The length of the balloon section is 21.55 metres.
 

  
What is the height of the basket section?

`text(3.65 metres)` `text(3.75 metres)` `text(4.55 metres)` `text(4.65 metres)`
 
 
 
 
Show Answers Only

`text(3.65 metres)`

Show Worked Solution

`text(Let)\ \ h =\ text(height of basket section)`

`h + 21.55` `= 25.2`
`:. h` `= 25.2 – 21.55`
  `= 25.2 – 22 + 0.45`
  `= 3.65`

Number and Algebra, NAP-K2-24

A volleyball club receives 16 boxes containing 32 club jerseys each.

It then gives 8 jerseys to every team in the club and there are no jerseys left over.

How many teams are in the club?

`16` `48` `56` `64`
 
 
 
 
Show Answers Only

`21`

Show Worked Solution

`text(Strategy 1:)`

`text{1 box → 4 teams (8 each)}`

`text{16 boxes → (16 × 4) = 64 teams}`
 

`text{Strategy 2 (algebra):}`

`text(Let)\ n =\ text(number of teams)`

`8 xx n` `= 16 xx 32`
`:. n` `= (16 xx 32)/8`
`n` `= 2 xx 32`
  `= 64`

Number, NAP-K4-NC01

Mark is booking a hotel room online that has a rating of 3.7 out of 5.

The ratings of the other 4 hotel rooms he considered are listed below.

●   Hotel 57's rating 1.8
●   Snuggy Hotel's rating 1.85
●   Castle Hotel's rating 1.91
●   Cross Hotel's rating 2.5

 
Which hotel has a rating that is exactly half that of the hotel Mark booked?

Hotel 57 Snuggy Hotel Castle Hotel Cross Hotel
 
 
 
 
Show Answers Only

`text(Snuggy Hotel)`

Show Worked Solution

`3.7 ÷ 2 = 1.85`

`:.\ text(Snuggy Hotel)`

Number, NAP-K3-NC04

A hot air balloon is 25.2 metres high.

The length of the balloon section is 21.55 metres.
 

 
What is the height of the basket section?

`text(3.65 metres)` `text(3.75 metres)` `text(4.55 metres)` `text(4.65 metres)`
 
 
 
 
Show Answers Only

`text(3.65 metres)`

Show Worked Solution

`text(Let)\ \ h =\ text(height of basket section)`

`h + 21.55` `= 25.2`
`:. h` `= 25.2 – 21.55`
  `= 25.2 – 22 + 0.45`
  `= 3.65`

Algebra, NAP-K3-NC03

A soccer club receives 9 boxes containing 35 club jerseys each.

It then gives 15 jerseys to every team in the club and there are no jerseys left over.

How many teams are in the club?

`18` `21` `26` `50`
 
 
 
 
Show Answers Only

`21`

Show Worked Solution

`text(Let)\ n =\ text(number of teams)`

`15 xx n` `= 9 xx 35`
`3 xx 5 xx n` `= 3 xx 3 xx 7 xx 5`
`:. n` `= 3 xx 7`
  `= 21`

Probability, NAP-K3-CA28

A school canteen has two different types of sandwiches.

There are 14 chicken sandwiches and 11 vegemite sandwiches.

The canteen sells one sandwich to each of the first five students in line at lunch time.

The table shows the type of sandwich the first five students buy.
 

 
Dom is next in line and asks for a sandwich but doesn't care which type.

What is the chance that Dom is given chicken sandwich?

`text(100%)` `text(60%)` `text(56%)` `text(0%)`
 
 
 
 
Show Answers Only

`text(60%)`

Show Worked Solution

`Ptext{(chicken sandwich for Dom)}`

`= text(chicken sandwiches left)/text(total sandwiches left)`

`= (14 – 2)/20`

`= 0.6`

`= 60text(%)`

Geometry, NAP-K3-CA24

Arjay folds this net into a cube.
 

 
He places the cube on the table so that the top face is the letter `A`.

Which face is touching the table?

`text(B)` `text(C)` `text(D)` `text(E)` `text(F)`
 
 
 
 
 
Show Answers Only

`text(D)`

Show Worked Solution

`text(D will be touching the table)`

`text{(opposite side of A)}.`

Algebra, NAP-K3-CA23

Leia does a writing course that charges a fee per session and a one off $80 administration fee.

The overall cost (`C`) is represented by the formula  `C = 25s + 80`  where `s` is the number of sessions Leia attends.

Leia attends 6 sessions in total.

How much does she pay?

`$80` `$91` `$230` `$630`
 
 
 
 
Show Answers Only

`$230`

Show Worked Solution
`text(C)text(ost)` `= 25s + 80`
  `= 25 xx 6 + 80`
  `= $230`

Number, NAP-K3-CA20

The table below compares the approximate populations of two countries.

Country

Approximate population

(millions)
Cuba 11.475
Benin 11.096

Approximately how many more people live in Cuba than in Benin?

37 900 47 900 379 000 479 000
 
 
 
 
Show Answers Only

`379\ 000`

Show Worked Solution

`text(Extra people living in Cuba)`

`=(11.475-11.096) xx 1\ 000\ 000`

`= 0.379 xx 1\ 000\ 000`

`= 379\ 000`

Statistics, NAP-K3-CA18

Quinn owns a cafe.

He wants to estimate the number of females that drink coffee at his store each morning.

Which method of data collection should he use?

 
 Count the number of females walking past the cafe each morning.
 
 Survey the employees about how many females they estimate enter the cafe each morning.
 
 Survey the bakery next door about the number of females they serve each morning.
 
 Count the number of females that enter the cafe at different times of the morning.
 
 Count the number of females that enter the cafe at different times throughout the day.
Show Answers Only

`text(Count the number of females that enter the)`

`text(cafe at different times of the morning.)`

Show Worked Solution

`text{Counting (not estimating) the number of}`

`text(females at different times of the morning)`

`text(is the best method)`

Geometry, NAP-K3-CA17

Cameron is camping with 4 friends.

They have individual tents shown on the diagram below.
 

 
Brandon's tent is north-west of Cameron and Dan's tent is to Cameron's north.

What is Cameron's position?

B2 B6 D4 F2 F6
 
 
 
 
 
Show Answers Only

`text(F2)`

Show Worked Solution

`text(Cameron’s tent is located at F2.)`

Measurement, NAP-K3-CA16

Matt is travelling from Newcastle to Hamilton Island.

He must take two flights, one from Newcastle to Brisbane and one from Brisbane to Hamilton Island.

Matt's flight schedule is shown.

 
 
 

What is Matt's total flying time?

 
 1 hour 15 minutes
 
 1 hour 55 minutes
 
 2 hours 10 minutes
 
 2 hours 15 minutes
 
 3 hours 10 minutes
Show Answers Only

`text(3 hours 10 minutes)`

Show Worked Solution

`text(Newcastle → Brisbane)`

`text(9:30 am − 10:45 am = 1 hr 15 m)`

`text(Brisbane → Hamilton Island)`

`text(11:45 am − 1:40 pm = 1 hr 55 m)`
 

`:.\ text(Total flying time)`

`= 1:15 + 1:55`

`= 3\ text(h 10 m)`

Number, NAP-K3-CA14

Harmony makes four tie-dye shirts for a total cost of $120.

She sells two of the shirts for $30 each and another for $45.

For what price must she sell the fourth shirt to achieve a profit?

 
 more than $15
 
 less than $15
 
 exactly $15
 
 a profit is not possible
Show Answers Only

`text(more than $15)`

Show Worked Solution

`text(C) text(ost) = $120`

`text(Sales) = 2 xx 30 + 45 = $105`

`text(Profit occurs when sales price)\ >\ text(cost)`
 

`:.\ text(Sales price of 4th shirt must be more than)\ $15`

Statistics, NAP-K3-CA13

The subject choices in science at a high school are physics, chemistry and biology.

This Venn diagram shows the number of students who are studying each of the subjects.
 

How many of these students are studying at least two of these science subjects?

`2` `24` `26` `54` `150`
 
 
 
 
 
Show Answers Only

`26`

Show Worked Solution

`text(Any students in overlapping circles study 2 or 3)`

`text(of the science subjects.)`
 

`:.\ text(Number of students)` `= 8 + 12 + 4 + 2`
  `= 26`

Number, NAP-K3-CA12

Lance is competing in a cycling event.

On Stage 1, he had to cycle 90 kilometres.

On Stage 2, he had to cycle three times as far as Stage 1.

On Stage 3, he had to cycle one quarter as far as Stage 2.

Which expression could Lance use to work out the number of kilometres he needed to cycle for Stage 3.

 
 `90 ÷ 3 xx 1/4`
 
 `90 xx 3 xx 1/4`
 
 `90 ÷ 3 ÷ 1/4`
 
 `90 xx 3 ÷ 1/4`
Show Answers Only

`90 xx 3 xx 1/4`

Show Worked Solution

`90 xx 3 xx 1/4`

Number, NAP-K3-CA11 SA

Murray lives in Bundaberg where the temperature on a particular day was 39°C.

Murray's son lives in Salt Lake City, USA, and on the same day the temperature there was −15°C.

What was the temperature difference between the two towns on this day?

   °C
Show Answers Only

`54°text(C)`

Show Worked Solution
`text(Temperature difference)` `= 39 – (-15)`
  `= 54°text(C)`

Probability, NAP-K3-CA09

Spiro spins the arrow of this spinner 40 times.

He records the number of times the arrow lands on each number.
 


 

Which table records the most likely results?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(Landing on 1 or 5 is approximately one-third chance)`

`text(which is 13 times.)`

`text(Landing on 4 is expected to occur slightly less often)`

`text(than landing on 2 or 3.)`

Statistics, NAP-K4-CA18

A local soccer club is surveying its players.

The survey aims to be representative of the genders in the club.

There are three times as many boys as girls in the club.

Which of the following samples would get the most representative results?

 
 all the boys
 
 4 boys and 4 girls
 
 4 boys and 12 girls
 
 4 girls and 12 boys
Show Answers Only

`text(4 girls and 12 boys)`

Show Worked Solution

`text(4 girls and 12 boys because a representative sample)`

`text(should have the same gender ratio as the players.)`

Algebra, NAP-K4-CA15

Surf Grommets charge an hourly rate for surfing lessons and add a one-off charge of $45 for insurance.

The overall cost `(C)` is represented by the formula, `C = 30h + 45`, where `h` is the number of hours of lessons.

Mark has 11 hours of lessons with Surf Grommets.

How much does he pay?

$86 $330 $375 $825
 
 
 
 
Show Answers Only

`$375`

Show Worked Solution
`C` `= 30 xx 11 + 45`
  `= 330 + 45`
  `= $375`

Measurement, NAP-K4-CA10

Adam is laying tiles that are shaped like a parallelogram.
 


 

The longer sides are 2.5 times the length of the shorter sides.

What is the perimeter of one of the tiles?

42 cm 84 cm 96 cm 360 cm
 
 
 
 
Show Answers Only

`84\ text(cm)`

Show Worked Solution
`text(Perimeter)` `= 12 xx 2 + (12 xx 2.5) xx 2`
  `= 24 + 30 xx 2`
  `= 84\ text(cm)`

Number, NAP-K4-CA06

Onyx makes four dream catchers for a total cost of $160.

He sells two of the dream catchers for $40 each and another for $55.

For what price must he sell the fourth dream catcher to achieve a profit?

 
 more than $25
 
 less than $25
 
 exactly $25
 
 a profit is not possible
Show Answers Only

`text(more than $25)`

Show Worked Solution

`text(C) text(ost) = $120`

`text(Sales) = 2 xx 40 + 55 = $135`

`text(Profit occurs when sales price)\ >\ text(cost)`
 

`:.\ text(Sales price of 4th dream catcher must be more than $25)`