NAPX-MultipleChoice

Number, NAPX-Z4-CA15 v2

A machine can make 8 toys in 32 minutes.

How long will it take for the same machine to make 3 toys?

	8 minutes
	12 minutes
	15 minutes
	18 minutes

Show Answers Only

`text(12 minutes)`

Show Worked Solution

`text(Rate of production)`	`=32/8`
	`=4\ text(mins/toy)`

`text(Time to make 3 toys)`	`=4 xx 3`
	`=12\ text(min)`

Number, NAPX-Z4-CA15 v1

A container has a capacity of 10 litres.

A solar pump can fill it with water in 30 minutes.

How long will it take for the same solar pump to fill a smaller container with a 6-litre capacity?

	5 minutes
	15 minutes
	18 minutes
	21 minutes

Show Answers Only

`text(18 minutes)`

Show Worked Solution

`text(Pump rate)`	`=30/10`
	`=3\ text(L/min)`

`text(Time to fill 6L)`	`=6 xx 3`
	`=18\ text(min)`

Geometry, NAPX-Z4-CA14 v2

A city map is shown below.

In what direction is the museum from Ben's house?

		North-east
		South-west
		East
		West

Show Answers Only

`text(North-east)`

Show Worked Solution

`text{The museum is north-east of Ben’s house}`

Measurement, NAPX-Z4-CA13 v2

There are 4 pools pictured below.

Which pool, including the tiled edge, has the largest surface area?

Show Answers Only

`C`

Show Worked Solution

`text{Surface area of each picture frame:}`

`text{1st pool: } 20 \times 6 = 108`

`text{2nd pool: } 12\times 18 = 216`

`text{3rd pool: } 16 \times 16 = 256`

`text{4th pool: } 20 \times 12 = 240`

`\therefore \ \ text{picture of 3rd pool has the largest surface area.} `

Measurement, NAPX-Z4-CA13 v1

There are 4 picture frames shown below.

Which frame has the largest area?

Show Answers Only

Show Worked Solution

`text{Surface area of each picture frame:}`

`text{1st frame: } 20 \times 15 = 300`

`text{2nd frame: }10 \times 25 = 250`

`text{3rd frame: }15 \times 15 = 225`

`text{4th frame: }24 \times 8 = 192`

`\therefore \ \ text{picture of 1st frame has the largest surface area.} `

Geometry, NAPX-Z4-CA39 v2

A square with 6 triangles drawn within it is shown below.

In the square, `AF = BF = CF = DF = EF`, and `AB=BC=CD=DE`.

Determine the size of the angle `x`°?

`24^@`	`30^@`	`32^@`	`35^@`	`37.5^@`

Show Answers Only

`32°`

Show Worked Solution

`text(Congruent triangles in the square:)`

`ΔAFB ≡ ΔBFC ≡ ΔCFD ≡ ΔDFE\ \ text{(SSS)}, and`

`ΔAFZ ≡ ΔEFZ\ \ text{(SSS)}.`

`text(Consider the circular angle at)\ F:`

`360`	`= x+x+x+x+116+116`
`4x`	`= 360-232`
	`=128`
`:.x`	`=32`

Measurement, NAPX-Z4-CA35 SA v2

The rectangular prism, shown below, is cut into 4 identical cubes.

What is the ratio of the surface area of the rectangular prism to one of the cubes?

`7 : 4`	`3 : 1`	`5 : 2`	`6 : 5`

Show Answers Only

`3 : 1`

Show Worked Solution

`text(S.A. of rectangular prism)`

`= 2 xx (a xx a) + 4 xx (4a xx a)`

`= 2a^2 + 16a^2`

`= 18a^2`

`text(S.A. of cube)`

`= 6 xx (a xx a)`

`= 6a^2`

`:.\ text(Ratio of prism to cube)`

`= 18a^2 : 6a^2`

`= 3 : 1`

Geometry, NAPX-Z4-CA33 v5

Castro’s house is 200 metres directly south of Harry’s house.

Jamie’s house is 200 metres due west of Castro’s house

Jamie is at her house facing directly south and turns clockwise until she is facing in the exact direction of Harry’s house.

How many degrees does Jamie turn through?

`30^@`	`135^@`	`150^@`	`225^@`	`270^@`

Show Answers Only

`225^@`

Show Worked Solution

`text(Degrees Jamie turns through)`

`= 180 + 45`

`= 225^@`

Number, NAPX-Z4-CA31 v2

A business man earns $150 000 every month

Which value is the closest to how much this businessman will earn in 2 years?

`$2.4 xx 10^8`	`$2.4 xx 10^7`	`$3.6 xx 10^6`	`4.2 xx 10^6`

Show Answers Only

`$3.6 xx 10^6`

Show Worked Solution

`text(There are 12 months in 1 year.)`

`text(Total money earned)`

`= 150\ 000 xx 12 xx 2`

`= 3\ 600\ 000`

`= $3.6 xx 10^6`

Algebra, NAPX-Z4-CA26 v2

Which expression is equivalent to `3x^2+12x-9?`

`3(x^2 + 6x-8)`	`x (3x+12x-9)`	`6 (2x-12+9x^2)`	`3 (x^2 + 4x -3)`

Show Answers Only

`3 (x^2 + 4x -3)`

Show Worked Solution

`3x^2+12x-9`

`= 3 (x^2 + 4x -3)`

Algebra, NAPX-Z4-CA21 v2

A Cartesian plane is shown.

Select the correct statement below.

	`A` is located where `x > 0` and `y < 0.`
	`B` is located where `x = 0` and `y > 0.`
	`C` is located where `x < 0` and `y < 0.`
	`D` is located where `x < 0` and `y = 0.`

Show Answers Only

`C \ text(is located where)\ \ x < 0\ \ text(and)\ \ y < 0.`

Show Worked Solution

`C \ text(is located where)\ \ x < 0\ \ text(and)\ \ y < 0.`

`text(All other statements can be shown to be false.)`

Geometry, NAPX-Z4-CA18 v2

An equilateral triangle has 3 internal angles.

What type of angle is each internal angle?

	reflex angle
	acute angle
	obtuse angle
	right angle

Show Answers Only

`text(acute angle)`

Show Worked Solution

`text(Acute angle:)\ \ 0°<theta<90°`

Number, NAPX-Z4-CA17 v2

Joanna is making a smoothie.

The recipe says she needs 2 cups of milk for every 3 strawberries.

If 5 strawberries are used, how many cups of milk are needed?

`2\ text(cups)`	`2 1/3\ text(cups)`	`3 1/3\ text(cups)`	`4\ text(cups)`

Show Answers Only

`3 1/3\ text(cups)`

Show Worked Solution

`text(3 strawberries)`	`=>\ text(2 cups of milk)`
`text(1 strawberry)`	`=> 2/3\ text(cup sultanas)`

`:. 5\ text(strawberries)`	`= 5 xx 2/3`
	`=10/3`
	`= 3 1/3\ text(cups of milk)`

Statistics, NAPX-Z4-CA16 v1

This graph shows the end of year stock prices for 3 companies over a 7-year period.

The end of year price of PGH was less than the price of MMC for a number of years.

In which of these years was the price of UB below the price of PGH.

1993	1995	1998	1999

Show Answers Only

`1999`

Show Worked Solution

`text(PGH’s end-of-year price was less than MMC in 1993, 1995, 1998)`

`text(and 1999.)`

`text(During these years, UB was below PGH in 1999.)`

Statistics, NAPX-Z4-CA16 v2

This graph shows the end of month stock prices for 3 companies over a 12-month period.

The end of month price of GT was more than the price of FNI for a number of months.

In which of these months was the price of AAR below the price of FNI.

February	March	April	October

Show Answers Only

`text(October)`

Show Worked Solution

`text(GT’s end-of-month price was above FNI for Jan, Feb, Mar,)`

`text(Apr and Oct.)`

`text(During these months, AAR was below FNI in October only.)`

Number, NAPX-Z4-CA15 v2

In a school, there are 28 teachers and 560 students

What is the ratio of teachers to students?

`7:28`	`4:75`	`1:20`	`9:115`

Show Answers Only

`1:20`

Show Worked Solution

`text(Ratio)`	`=28:560`
	`=28/28 : 560/28`
	`=1:20`

Number, NAPX-Z4-CA15 v1

In a community, there are 180 male residents and 210 female residents.

What is the ratio of male residents to female residents?

`9:7`	`2:3`	`1:3`	`6:7`

Show Answers Only

`6:7`

Show Worked Solution

`text(Ratio)`	`=180:210`
	`=180/30 : 210/30`
	`=6:7`

Measurement, NAPX-Z4-CA14 v2

Gary purchased a bed that was 2020 millimetres long.

An equivalent bed length is:

		2 metres and 20 millimetres
		20 metres and 20 millimetres
		2 metres and 20 centimetres
		20 metres and 20 centimetres

Show Answers Only

`text(2 metres and 20 millimetres)`

Show Worked Solution

`text{1000 millimetres = 1 metre.}`

`:. 2020\ text(mm) = 2\ text(m)\ 20\ text(mm)`

Algebra, NAPX-Z4-CA13-2

The surface area `(S)` of the cone below can be calculated as follows:

multiply `pi` by the product of the radius `(r)` and the slant height `(t)`, and
add the area of its face `(F)`.

Which one of these formulas could be used for this calculation?

		`S=pi rtF`
		`S=pi r + tF`
		`S= pi r(t + F)`
		`S=pirt + F`

Show Answers Only

`S = pi r t + F`

Show Worked Solution

`text{Surface Area = π × radius × slant height + area of face}`

`:. S = pi r t + F`

Algebra, NAPX-Z4-CA13-1

The surface area `(S)` of the cylinder below can be calculated as follows:

multiply the circumference of the face `(c)` by its height `(h)`, and
add twice the area of its face `(F)`.

		`S=2chF`
		`S=ch+2F`
		`S=ch+F`
		`S=2ch+2F`

Show Answers Only

`S = ch + 2F`

Show Worked Solution

`text{Surface Area = circumference × height + 2 × area of face}`

`:. S = ch + 2F`

Number, NAPX-Z3-CA12 v1

Which of these numbers is closest in value to `frac{716}{900}`?

		1.3
		1.2
		0.9
		0.8
		0.6

Show Answers Only

0.8

Show Worked Solution

`frac{716}{900} = 0.7955 …`

`therefore \ 0.8 \ text{is the closest}`

Measurement, NAPX-B4-NC03

This water depth gauge measures the depth of water in a tank.

How deep is the water?

		0.31 cm
		3.1 cm
		31 cm
		310 cm

Show Answers Only

Show Worked Solution

`31`

Geometry, NAPX-p115102v01

Which of these is an octagon?

Show Answers Only

Show Worked Solution

`text{An octagon has 8 sides:}`

Geometry, NAPX-I3-NC18 v1

Godfried drew a letter next to a dotted line, pictured below.

He reflected the letter across the dotted line.

After this he rotated the letter 270° clockwise.

Which image shows the letter after this?

Show Answers Only

Show Worked Solution

`text{After reflection:}`

`text{After rotation (270° clockwise = 90° anticlockwise):}`

Measurement, NAPX-G4-NC10 v1, NAPX-G3-NC14 v1

The beaker pictured below can hold up to 100 millilitres of hydrochloric acid.

How much hydrochloric acid is in the beaker?

	70 mL
	75 mL
	80 mL
	85 mL

Show Answers Only

`85 \ text{mL}`

Show Worked Solution

`text{Beaker is fully filled to the 70 mL mark}`

`text{Beaker is half filled between 70 – 100 mL}`

`therefore \ text{Volume}`	`= 70 + frac{1}{2} xx 30`
	`= 70 + 15`
	`= 85 \ text{mL}`

Number, NAPX-H3-CA11 v1

40² is equal to which of the following?

	80² ÷ 2
	8 × 5²
	4² × 5 × 2 × 2 × 5
	4 × 10 × 10

Show Answers Only

`4^2 xx 5 xx 2 xx 2 xx 5`

Show Worked Solution

`40^2`	`= 40 xx 40`
	`= 4 xx 10 xx 4 xx 10`
	`= 4^2 xx 5 xx 2 xx 2 xx 5`

Measurement, NAPX-J4-CA01 v1

The digital clock below tells the time on the 24-hour system.

What is the equivalent time in the 12-hour system?

	8:25 am
	10:25 am
	8:25 pm
	10:25 pm

Show Answers Only

`8:25 text{pm}`

Show Worked Solution

`text{20:25 in the 12-hour system} \ => \ text{deduct 12 hours}`

`= 8:25 \text{pm}`

Number, NAPX-L4-CA15 o2

Darlene records the sprint times of her greyhound dogs in seconds, to three decimal places.

Her fastest dog records a sprint time of 12.587 seconds.

Darlene records this time in her journal, correct to two decimal places.

What time, in seconds, does Darlene record?

12.58	12.50	12.60	12.59

Show Answers Only

`12.59`

Show Worked Solution

`12.587 = 12.59 \ \ text{(to 2 d.p.)}`

Number, NAPX-L4-CA15 o1

Paul's stopwatch records his swimmers' lap times to three decimal places.

Paul's fastest swimmer swam her freestyle lap in 26.386 seconds.

Paul recorded this time in his notepad correct to two decimal places.

What time, in seconds, does Paul record?

26.30	26.38	26.39	23.40

Show Answers Only

`26.39`

Show Worked Solution

`26.386 = 26.39 \ text{(to 2 decimal places)}`

Measurement, NAPX-L4-CA14 o2

Clarence used the tile pictured below to pave his garden path.

Altogether, he used 1000 tiles.

What is the total area of Clarence's garden path in square metres?

2.5 m²	5.0 m²	7.5 m²	10.0 m²

Show Answers Only

`7.5\ text(m²)`

Show Worked Solution

`text(Convert cm to metres:)`

`10\ text(cm)= 0.1\ text(m)`

`5\ text(cm) = 0.05\ text(m)`

`text(Area of 1 tile)`	`= 0.1^2 – 0.05^2`
	`= 0.0075\ text(m²)`

`:.\ text(Area of deck)`	`= 0.0075 xx 1000`
	`= 7.5\ text(m²)`

Measurement, NAPX-L4-CA14 o1

Aaron used the tile pictured below to pave his back deck.

Altogether, he used 1000 tiles.

What is the total area of Aaron's back deck in square metres?

4.9 m²	9.8 m²	14.7 m²	19.6 m²

Show Answers Only

`14.7 \ text(m²)`

Show Worked Solution

`text(Convert cm to metres:)`

`14\ text(cm) = 0.14\ text(m)`

`7\ text(cm)= 0.07\ text(m)`

`text(Area of 1 tile)`	`= 0.14^2 – 0.07^2`
	`= 0.0147 \ text(m²)`

`:.\ text(Area of deck)`	`= 0.0147 xx 1000`
	`= 14.7 \ text(m²)`

Statistics and Probability, NAPX-L4-CA08 o2

Murray wants to find the number of boys in his class that play AFL or soccer but don't play both in the winter.

Which shaded region in the Venn diagrams represents the boys that Murray is seeking?

Show Answers Only

Show Worked Solution

Statistics and Probability, NAPX-L4-CA08 o1

Tilba needs to find out the number of students studying both Biology and Physics.

Which shaded region in the Venn Diagrams represents the students that Tilba is looking for?

Show Answers Only

Show Worked Solution

Statistics and Probability, NAPX-L4-CA21 v2

Bindi bought 13 eggs from the farmers' market.

She bought:

one carton of 10 eggs for $5.20, and
three extra eggs for $1.95 in total.

What is the mean price of the 13 eggs?

`$0.65`	`$0.62`	`$0.55`	`$0.52`

Show Answers Only

`$0.55`

Show Worked Solution

`text(Total spent)`	`= 5.20 + 1.95`
	`= $7.15`

`:.\ text(Mean price)`	`= 7.15/13`
	`= $0.55`

Statistics and Probability, NAPX-L4-CA21 v1

Shiver bought 13 staplers for her art class.

She bought:

one box of 9 staplers for $45.90, and
one box of 4 staplers for $21.05.

What is the mean price of the 13 staplers?

`$5.10`	`$5.15`	`$5.22`	`$5.26`

Show Answers Only

`$5.15`

Show Worked Solution

`text(Total spent)`	`= 45.90 + 21.05`
	`= $66.95`

`:.\ text(Mean price)`	`= 66.95/13`
	`= $5.15`

Statistics and Probability, NAPX-L4-CA21

Colin bought 12 pencils.

He bought:

one packet of 10 pencils for $23.00, and
another packet of 2 pencils for $5.20.

What is the mean price of the 12 pencils?

`$2.30`	`$2.35`	`$2.50`	`$2.60`

Show Answers Only

`$2.35`

Show Worked Solution

`text(Total spent)`	`= 23.00 + 5.20`
	`= $28.20`

`:.\ text(Mean price)`	`= 28.20/12`
	`= $2.35`

Statistics and Probability, NAPX-L4-CA20 v2

The stem-and-leaf plot shows the number of lunch diners a small cafe had each day for the last 2 weeks.

On how many days were there at least 25 people dining at lunch?

6	7	8	10	14

Show Answers Only

`7`

Show Worked Solution

`text(The plot shows 7 data points that are at least 25.)`

`:. 7\ text(days)`

Statistics and Probability, NAPX-L4-CA20 v1

The stem-and-leaf plot shows the number of people who bought tickets to a foreign film at a cinema over 15 screenings.

In how many screenings were there at least 30 people?

6	7	8	12	15

Show Answers Only

`8`

Show Worked Solution

`text(The plot shows 8 data points that are above 30.)`

`:. 8\ text(screenings)`

Statistics and Probability, NAPX-L4-CA20

The stem-and-leaf plot shows the number of nippers who did surf skills training each day for the last two weeks.

On how many days were there at least 40 nippers at surf training?

1	4	7	10	14

Show Answers Only

`4`

Show Worked Solution

`text(The plot shows 4 data points that are above 40.)`

`:. 4\ text(days)`

Number, NAPX-L4-CA18 v2, NAPX-L3-CA29 v2

A school's garden club has 4 girls and 6 boys.

Two boys and some girls then joined the club.

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

How many girls joined the club?

8	10	12	16

Show Answers Only

`12`

Show Worked Solution

`text(Boys in club)`	`= 6 + 2`
	`= 8`

`=>\ text(Total girls required)`	`= 8 xx 2`
	`= 16`

`:.\ text(Girls that joined)`	`= 16 – 4`
	`= 12`

Number, NAPX-L4-CA18 v1, NAPX-L3-CA29 v1

A school's drama club has 7 girls and 9 boys.

4 girls and some boys then joined the club.

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

How many boys joined the club?

5	13	17	22

Show Answers Only

`13`

Show Worked Solution

`text(Girls in club)`	`= 7 + 4`
	`= 11`

`=>\ text(Total boys required)`	`= 2 xx 11`
	`= 22`

`:.\ text(Boys that joined)`	`= 22 – 9`
	`= 13`

Number, NAPX-L4-CA18, NAPX-L3-CA29

A school's chess club has 6 girls and 5 boys.

2 girls and some more boys then joined the club.

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

How many boys joined the club?

7	11	13	16

Show Answers Only

`11`

Show Worked Solution

`text(Girls in club)`	`= 6 + 2`
	`= 8`

`=>\ text(Total boys required)`	`= 2 xx 8`
	`= 16`

`:.\ text(Boys joined)`	`= 16 – 5`
	`= 11`

Number, NAPX-L4-CA17 v2

Gary makes 12 pumpkin tarts for his bakery.

Each tart uses `1/8` kilogram of pumpkin.

After he makes each tart, he counts how much pumpkin he uses in total.

What is the last number he will count?

`2`	`1 3/4`	`1 1/2`	`1 1/4`

Show Answers Only

`1 1/2`

Show Worked Solution

`12/8`	`= 1 4/8`
	`= 1 1/2`

Number, NAPX-L4-CA17 v1

Po makes 10 pavlovas to sell at her school's fete.

Each pavlova uses `1/3` kilogram of fruit salad.

After she makes each pavlova, she counts the total weight of fruit salad she has used.

What is the last number she will count?

`4`	`3 2/3`	`3 1/3`	`3`

Show Answers Only

`3 1/3`

Show Worked Solution

`10/3 = 3 1/3`

Number, NAPX-L4-CA17

Curtis makes 14 pecan pies for his restaurant's dessert menu.

Each pie uses `1/4` kg of pecans.

After he makes each pecan pie, he counts the total weight in pecans he has used.

What is the last number he will count?

`4`	`3 3/4`	`3 1/2`	`3 1/4`

Show Answers Only

`3 1/2`

Show Worked Solution

`14/4`	`= 3 2/4`
	`= 3 1/2`

Statistics and Probability, NAPX-L4-CA16 v1

This graph shows the number of people in Australia, in millions, who wear watches on their wrist, from 1998 to 2018.

Which of these statements about the graph is true?

	The number of people wearing watches has more than halved between 1998 and 2018.
	The number of people wearing watches decreased by more than 500 000 between 2013 and 2018.
	The number of people wearing watches decreased more per year between 2003 and 2008 than at any other time.

Show Answers Only

`text(The number of people wearing watches decreased by)`

`text(more than 500 000 between 2013 and 2018.)`

Show Worked Solution

`text(People wearing watches in 2013 ≈ 3.1 million)`

`text(People wearing watches in 2018 ≈ 2.3 million)`

`:.\ text(Decreased by more than 500 000 between 2013 and 2018.)`

Geometry, NAPX-L4-CA15 v2

Tina is a town planner and needs to know the angles between streets in the diagram below.

Tina knows that Mork Street is parallel to Mindy Street.

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

`60^@`	`100^@`	`120^@`	`130^@`

Show Answers Only

`120^@`

Show Worked Solution

`text(Corresponding angles are equal.)`

`:.\ text(Shaded angle) = 120^@`

Geometry, NAPX-L4-CA15 v1

Grant is a town planner and needs to know the angles between streets in the diagram below.

Grant knows that Dooley Street and Fittler Street are parallel.

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

`30^@`	`40^@`	`50^@`	`60^@`

Show Answers Only

`50^@`

Show Worked Solution

`text(Co-interior angles sum to 180°.)`

`:.\ text(Shaded angle)`	`= 180 – 130`
	`= 50^@`

Geometry, NAPX-L4-CA14 v2

Meghan is running.

She makes a quarter turn to her right and continues running in the direction due North.

What direction was Meghan originally running in?

North	South	East	West

Show Answers Only

`text(West)`

Show Worked Solution

`:.\ text(Meghan was originally)`

`text(running due west.)`

Geometry, NAPX-L4-CA14 v1

Penelope is walking due South.

She makes a quarter turn to her left and keeps walking.

Penelope then makes another quarter turn to her left and stops.

What direction is she now facing?

East	West	North	South

Show Answers Only

`text(North)`

Show Worked Solution

`:.\ text(She is facing North.)`

Geometry, NAPX-L4-CA13 v2

Bruce has a photo which is 15 cm high and 10 cm wide.

Bruce wants to enlarge it to make a poster with a width of 30 cm.

What will be the height of the poster?

`text(20 cm)`	`text(25 cm)`	`text(35 cm)`	`text(45 cm)`

Show Answers Only

`text(45 cm)`

Show Worked Solution

`text(Ratio increase)`	`= text(new width)/text(old width)`
	`= 30/10`
	`= 3`

`:. text(New height)`	`= 3 xx 15`
	`= 45 text(cm)`

Geometry, NAPX-L4-CA13 v1

Chisholm has a photo which is 15 cm high and 20 cm wide.

He wants to enlarge it to make a photo with a height of 30 cm.

What will be the width of the poster?

`text(20 cm)`	`text(22.5 cm)`	`text(30 cm)`	`text(40 cm)`

Show Answers Only

`text(40 cm)`

Show Worked Solution

`text(Ratio increase)`	`= text(new height)/text(old height)`
	`= 30/15`
	`= 2`

`:.\ text(New width)`	`= 2 xx 20`
	`= 40\ text(cm)`

Statistics and Probability, NAPX-L4-CA07 o2

Albert runs a pet store that sells pure breed dogs.

He has a total of 36 dogs in the shop from different breeds.

If one of Albert's dogs is chosen at random, what is the probability it will be either a labrador or a bulldog?

`(4)/(9)`	`(9)/(16)`	`(11)/(18)`	`(9)/(4)`

Show Answers Only

`(11)/(18)`

Show Worked Solution

`P text{(L or B)`	`= \ text(Number of L and B)/text(Total puppies)`
	`= (16 + 6)/36`
	`= (11)/(18)`

Statistics and Probability, NAPX-L4-CA07 o1

Nerida breeds 4 different types of hounds.

Last year her hounds produced a total of 32 puppies.

If one puppy is chosen at random, what is the probability it will be either a Ridgeback or a Dachshund?

`(3)/(7)`	`(9)/(16)`	`(7)/(16)`	`(7)/(3)`

Show Answers Only

`(7)/(16)`

Show Worked Solution

`P text{(R or D)}`	`= \ text(Number of R and D)/text(Total puppies)`
	`= (8 + 6)/32`
	`= (7)/(16)`

Geometry, NAPX-L4-CA05 o1

Karl draws a rectangle on a number plane as shown below.

What are the coordinates of point `R`?

`(8, 3)`	`(3,–8)`	`(–8, 3)`	`(–3, 8)`	`(8,–3)`

Show Answers Only

`(8,–3)`

Show Worked Solution

`text(Coordinates)`	`≡ (x, y)`
	`≡ (8,–3)`

Geometry, NAPX-L4-CA05 o2

Janice draws a rectangle on a number plane as shown below.

What are the coordinates of point `S`?

`(2, 3)`	`(–3, 2)`	`(–2, 3)`	`(–2,–3)`	`(–3,–2)`

Show Answers Only

`(–2,–3)`

Show Worked Solution

`text(Coordinates)`	`≡ (x, y)`
	`≡ (–2,–3)`

Statistics and Probability, NAPX-L4-CA03 o1

Year 9 students were surveyed to find their favourite type of movie.

The results were recorded in this graph

What percentage of Year 9 student's favourite movie type was comedy?

Less than 25%	Between 25% and 50%	Between 50% and 75%	More than 75%

Show Answers Only

`text(Between 25% and 50%).`

Show Worked Solution

`text(Comedy is between) \ (1)/(4) \ text(and) \ (1)/(2) \ text(of the pie.)`

`:.\ text(Between 25% and 50%)`

Geometry, NAPX-L4-CA02 o2

Calligula drew the shape below.

Angle `x`° is 115°

What is the size of angle `y`°?

215°	235°	245°	305°

Show Answers Only

`245°`

Show Worked Solution

`360°\ text(about a point.)`

`:. y°`	`= 360° – 115°`
	`= 245°`

Geometry, NAPX-L4-CA02 o1

Sheila drew a four sided shape.

Angle `p°` is 135°.

What is the size of angle `q°`?

225°	245°	275°	315°

Show Answers Only

`225°`

Show Worked Solution

`360° text(about a point.)`

`:. q°`	`= 360° – 135°`
	`= 225°`

Algebra, NAPX-L4-CA12 v2

A surfboard 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 surfboard.

	$10 for every hour plus an extra $25
	$15 for every hour plus an extra $20
	number of hours multiplied by $35
	number of hours multiplied by $25 plus $10

Show Answers Only

`text($15 for every hour plus an extra $20)`

Show Worked Solution

`text($15 for every hour plus an extra $20)`

`text(Test):`

`1\ text(hour) = 1 xx 15 + 20 = $35` ✔

`3\ text(hours) = 3 xx 15 + 20 = $65` ✔

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