NAPX-MultipleChoice

Number, NAPX-p167756v02

`8 xx`

`- 13 = 75`

What value would make the number sentence right?

	11
	9
	13
	7

Show Answers Only

`11`

Show Worked Solution

`text{Check each option (multiply then add):}`

`8 xx 11 -13 = 75 \ text{(Correct)}`

`8 3 xx 9 -13 = 59 \ text{(Incorrect)}`

`8 3 xx 9 -13 = 91 \ text{(Incorrect)}`

`8 xx 7 -13 = 43 \ text{(Incorrect)}`

Number, NAPX-p167756v01

`12 + 3 xx `

`= 39`

For this number sentence to be true, what is the missing value?

	15
	11
	9
	7

Show Answers Only

`9`

Show Worked Solution

`text{Check each option (multiply then add):}`

`12 + 3 xx 15= 57 \ text{(Incorrect)}`

`12 + 3 xx 11= 57 \ text{(Incorrect)}`

`12 + 3 xx 9 = 57 \ text{(Correct)}`

`12 + 3 xx 7= 57 \ text{(Incorrect)}`

Number, NAPX-p167749v02

The return trip from a school to the museum is 15.97 kilometres.

How far does a student need to travel if they visit the museum 6 times?

	89.53 km
	95.82 km
	57.39 km
	64.72 km

Show Answers Only

`95.82 \ text{km}`

Show Worked Solution

`:.\ text(Distance)`	`= 6 xx 15.97 \ text{km}`
	`= 95.82 \ text{km}`

Number, NAPX-p167749v01

A return trip from your house to the grocery store is 9.82 kilometres.

If you go to the store 23 times, how far do you need to travel?

	426.95 km
	234.21 km
	225.86 km
	382.23 km

Show Answers Only

`225.86 \ text{km}`

Show Worked Solution

`:.\ text(Distance)`	`= 23 xx 9.82 \ text{km}`
	`= 225.86 \ text{km}`

Number, NAPX-p169124v02

Deirdre walks to work which is 6 km from her home.

She walks there at a constant speed of 5 kilometres per hour.

How many minutes does it take Deirdre to walk to work from her home?

`1 1/4`	`70`	`72`	`84`

Show Answers Only

`72\ text(minutes)`

Show Worked Solution

`text(Time)`	`= text(Distance)/(text(S)text(peed))`
	`= 6/5\ text(hours)`
	`= 6/5 xx 60\ text(minutes)`
	`= 72\ text(minutes)`

Number, NAPX-p169124v01

Oggy's gym is 3 kilometres away from his apartment.

He jogs there at a constant speed of 10 kilometres per hour.

How many minutes does it take for Oggy to get to the gym from his apartment?

`1 2/3`	`18`	`24`	`36`

Show Answers Only

`18\ text(minutes)`

Show Worked Solution

`text(Time)`	`= text(Distance)/(text(S)text(peed))`
	`= 3/10\ text(hr)`
	`= 3/10 xx 60\ text(minutes)`
	`= 18\ text(minutes)`

Measurement, NAPX-p169002v02

Anne was driving from her house to the supermarket to buy some groceries.

She drove a total distance of 2 kilometres and 54 metres.

Which of these shows the distance, in metres, that Anne drove to get to the supermarket?

	2.054 m
	254 m
	2054 m
	2540 m

Show Answers Only

`2054\ text(m)`

Show Worked Solution

`text(Conversion: 1 kilometre = 1000 metres)`

`text{Distance}`	`= (2 × 1000) + 54`
	`=2000 + 54`
	`=2054\ text(m)`

Measurement, NAPX-p169002v01

John walked from his office to his home.

He walked a total of 1 kilometre and 62 metres.

Which of these shows the distance John walked in metres.

	106.2 m
	162 m
	1062 m
	1620 m

Show Answers Only

`1062\ text(m)`

Show Worked Solution

`text(Conversion: 1 kilometre = 1000 metres)`

`text{Distance walked = 1000 + 62 = 1062 m}`

Probability, NAPX-p168996v02

A standard deck of 52 cards is made up four suits - Hearts, Diamonds, Clubs and Spades - that have 13 cards each.

Lara has a standard deck of cards and draws a King without looking and returns it to the deck.

She repeats this three times and draws a King each time.

If she randomly draws a card for the 4th time, which of the following is true?

	She is certain to draw a King.
	She is more likely to draw a King than a Spade.
	She is less likely to draw a King than a Queen.
	She is more likely to draw a Heart than a King.

Show Answers Only

`text(She is more likely to draw a Heart than a King.)`

Show Worked Solution

`Ptext{(Heart)} = 13/52 = 1/4`

`Ptext{(Spade)} = 13/52 = 1/4`

`Ptext{(King)} = 4/52 = 1/13`

`Ptext{(Queen)} = 4/52 = 1/13`

`:.\ text(She is more likely to draw a Heart than a King.)`

Probability, NAPX-p168996v01

Aaron rolls a fair dice four times.

Each time he rolls the dice he gets a three.

Aaron rolls the dice for the fifth time.

Which of the following is true?

	He is less likely to roll a two than a three.
	He is more likely to roll a three than a one.
	He has an equal chance of rolling a three as a six.
	He is certain to roll a three.

Show Answers Only

`text(He has an equal chance of rolling a three as a six)`

Show Worked Solution

`text(All numbers in a fair die have equal chance of appearing.)`

`:.\ text(He has an equal chance of rolling a three as a six.)`

Number, NAPX-p111573v02

`320 ÷`

`= 40`

Which of the following numbers make the number sentence above correct?

	8
	16
	20
	80

Show Answers Only

`8`

Show Worked Solution

`text(Check each option:)`

`text(Option 1 -)\ 320 ÷ 8 = 40\ (text(Correct))`

`text(Option 2 -)\ 320 ÷ 16 = 20`

`text(Option 3 -)\ 320 ÷ 80 = 4`

`text(Option 4 -)\ 320 ÷ 20 = 16`

`:.\ text(8 makes the number sentence correct.)`

Number, NAPX-p111573v01

`7 xx`

`= 161`

What number will make the number sentence correct?

	13
	23
	154
	1127

Show Answers Only

`13`

Show Worked Solution

`text(Check each option)`

`text(Option 1 -)\ 7 xx 13 = 91`

`text(Option 2 -)\ 7 xx 23 = 161\ (text(Correct))`

`text(Option 3 -)\ 7 xx 154 = 1078`

`text(Option 4 -)\ 7 xx 161 = 1127`

Number, NAPX-p115150v02

Sheryl has 90 cupcakes to sell to her customers.

She packed the cupcakes in boxes that fit 4 cupcakes inside.

How many full boxes of cupcakes can she sell?

	21
	23
	22
	20

Show Answers Only

`22`

Show Worked Solution

`text(Number of boxes)`

`= 90 ÷ 4`

`= 22\ text(remainder 2)`

`:.\ text(Sheryl can sell 22 boxes full of cupcakes.)`

Number, NAPX-p115150v01

Darren bought 141 eggs from the market.

He decided to put the eggs in cartons of 12.

How many full cartons of eggs does he have?

	9
	10
	11
	12

Show Answers Only

`11`

Show Worked Solution

`text(Number of cartons of eggs)`

`= 141 -: 12`

`= 11\ text(remainder 9)`

`:.\ text(Darren can make 11 full cartons of eggs.)`

Measurement, NAPX-p167325v02

Leo painted the patterns shown below.

All the triangles that make up the shape have the same area.

Which of the following has the largest area painted grey?

Show Answers Only

Show Worked Solution

`text(Largest area painted → most triangles painted grey.)`

`text(Checking each option:)`

`text(Option 1 – 12 triangles painted)`

`text(Option 2 – 10 triangles painted)`

`text(Option 3 – 12 triangles painted)`

`text{Option 4 – 14 triangles painted (largest area)}`

Probability, NAPX-p167455v02

A partial deck of cards consists of 8 diamonds, 9 clubs, 4 spades and 3 hearts.

Patrick draws a card from the deck without looking.

What is the probability that he draws a spade?

	`1/4`
	`4/21`
	`1/3`
	`1/6`

Show Answers Only

`1/6`

Show Worked Solution

`P(text(Spade))`	`= text(Total Number of spades)/text(Total cards)`
	`= 4/(8 + 9 + 4 + 3)`
	`= 4/24`
	`= 1/6`

Probability, NAPX-p167455v01

A bag of coloured balls contains 12 blue balls, 10 white balls, 6 black balls, 2 red balls, and 8 orange balls.

Kimberly grabs a ball from the bag without looking what is inside.

What is the probability that she grabs an orange ball?

	`3/5`
	`5/17`
	`8/21`
	`4/19`

Show Answers Only

`4/19`

Show Worked Solution

`P(text(Orange ball))`	`= text(Total orange balls)/text(Total balls)`
	`= 8/(12 + 10 + 6 + 2 + 8)`
	`= 8/38`
	`= 4/19`

Algebra, NPAX-p167453v02

Andrew produced a pattern of small stars and diamonds.

If this pattern continues how many diamonds will the 9th figure contain?

	21
	19
	17
	15

Show Answers Only

`17`

Show Worked Solution

`text(Each succeeding figure adds 2 diamonds)`

`text(Number of diamonds)`

`text(Figure 4 = 7 diamonds)`

`text(Figure 5 = 9 diamonds)`

`vdots`

`text(Figure 8 = 15 diamonds)`

`:.\ text(Figure 9 contains 17 diamonds.)`

Algebra, NAPX-p167453v01

Rica produced a pattern of small circles and trapeziums.

If this pattern continues how many small circles will be in the 10th figure?

	10
	11
	19
	21

Show Answers Only

`19`

Show Worked Solution

`text{Each succeeding figure adds 2 circles}.`

`text{Number of small circles}`

`text{Figure 4: 7 circles}.`

`text{Figure 5: 9 circles}.`

`vdots`

`:.\ text(Figure 10 contains 19 circles.)`

Measurement, NAPX-p167451v02

A triangular lot is for sale.

What is the perimeter of the lot?

	72 metres
	75 metres
	82 metres
	86 metres

Show Answers Only

`82\ text(metres)`

Show Worked Solution

`text(Perimeter)`	`= 12 + 35 + 37`
	`= 82\ text(metres)`

Measurement, NAPX-p167451v01

Dexter owns a backyard in the shape of a trapezoid.

What is the perimeter of the backyard owned by Dexter?

	537 metres
	613 metres
	469 metres
	488 metres

Show Answers Only

`537\ text(metres)`

Show Worked Solution

`text(Perimeter)`	`= (2 xx 68) + 212 + 189`
	`= 136 + 212 + 189`
	`= 537\ text(metres)`

Algebra, NAPX-p167449v02

Jason creates the following figures using toothpicks.

How many toothpicks will figure 9 have?

	36
	38
	41
	46

Show Answers Only

`46`

Show Worked Solution

`text(Each succeeding figure adds 5 extra toothpicks.)`

`text(Figure 4: 21 toothpicks)`

`text(Figure 5: 26 toothpicks)`

`text(Figure 6: 31 toothpicks)`

`text(Figure 7: 36 toothpicks)`

`text(Figure 8: 41 toothpicks)`

`:.\ text(Figure 9 will have 46 toothpicks)`

Algebra NC13v1, NAP-Z3-13

Marley creates the following figures using sticks.

How many sticks will Figure 7 has?

	20
	15
	12
	18

Show Answers Only

`15`

Show Worked Solution

`text(Each succeeding figure adds 2 extra sticks.)`

`text(Figure 4: 9 sticks)`

`text(Figure 5: 11 sticks)`

`text(Figure 6: 13 sticks)`

`:.\ text(Figure 7 will have 15 sticks)`

Probability, NAPX-p167447v02

Lester schedules a company meeting twice every 5 working days.

Today is a working day.

What is the probability that there is a meeting scheduled?

	`2/7`
	`0.40`
	`3/5`
	`text(25%)`

Show Answers Only

`0.40`

Show Worked Solution

`P`	`= text(Favorable Events)/text(Total Possible Events)`
	`= 2/5`
	`= 0.40`

Probability, NAPX-p167447v01

Laura's country hut is visited by a possum twice every week.

What is the probability that the possum visits her hut today?

	`2/7`
	`2/5`
	`0.70`
	`text(25%)`

Show Answers Only

`2/7`

Show Worked Solution

`text{There are 7 days in a week.}`

`P`	`= text(Favorable Events)/text(Total Possible Events)`
	`= 2/7`

Geometry, NAPX-p107263v03

Some tiles are missing in the tile pattern shown below.

When completed, the tile pattern has one line of symmetry

Which of these could be the missing tiles?

Show Answers Only

Show Worked Solution

`text{The completed pattern is shown below.}`

Geometry, NAPX-p107263v02

Some shapes are missing in this pattern.

When completed, the pattern has one line of symmetry.

Which of these could be the missing part of the pattern?

Show Answers Only

Show Worked Solution

`text(The completed pattern is shown below.)`

Geometry, NAPX-p167443v02

Henry got lost on his way to visit his uncle’s house and made 3 U-turns before arriving.

In total, how many degrees does Henry turn through when making U-turns on his trip?

	150°
	270°
	540°
	1080°

Show Answers Only

`540^@`

Show Worked Solution

`text{One U-turn rotates the car by 180}^@`

`:. 3\ text(U-turns)`	`= 3 xx 180`
	`= 540^@`

Geometry, NAPX-p167443v01

During an X-Games snowboarding competition, an athlete performed 4 full backward summersaults before landing.

By how many degrees did the athlete rotate her body during this move?

	360°
	920°
	1080°
	1440°

Show Answers Only

`1440^@`

Show Worked Solution

`text{One rotation = 360°}`

`:. 4\ text(back dives)`	`= 4 xx 360^@`
	`= 1440^@`

Number, NAPX-p167439v02

A pack of sugar weighs `1/4` of a kilogram.

Josh bought 6 packs for baking.

How many kilograms of sugar did he buy?

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

Show Answers Only

`1 1/2`

Show Worked Solution

`text{Weight of six packs}`	`= 6 xx 1/4`
	`= 6/4`
	`= 1 1/2\ text(kg)`

Number, NAPX-p167439v01

A box of apples weighs `2/3` of a kilogram

Lou bought 3 boxes.

How many kilograms of apples did he bought?

	`1 frac{4}{9} \ text{kg}`
	`2 \ text{kg}`
	`frac{8}{9} \ text{kg}`
	`2 frac{2}{3} \ text{kg}`

Show Answers Only

`2\ text{kg}`

Show Worked Solution

`text(Total kilograms)`	`=3 xx 2/3`
	`=6/3`
	`=2`

Statistics, NAPX-p167389v02

The graph below shows the number of people in a supermarket at 15-minute intervals during a 4 hour period.

What time were the least amount of people in the supermarket?

	11:15 AM
	12:00 PM
	12:30 PM
	1:45 PM

Show Answers Only

`11:15 \ text{AM}`

Show Worked Solution

`text(Each data point represents 15 minutes.)`

`:.\ text{The lowest data point in the graph is at 11:15 AM}`

Statistics, NAPX-p167389v01

The graph below shows the number of vehicles in a parking station at 30 minute intervals over a 6 hour period.

What time were the highest number of vehicles in the parking station?

	5:30 PM
	4:30 PM
	3:30 PM
	5:00 PM

Show Answers Only

`4:30 \ text(PM)`

Show Worked Solution

`text{The highest data point in the graph is between 4:00 PM and 5:00 PM.}`

`therefore \ text{Highest number was at 4:30 PM.}`

Number, NAPX-p167381v02

The image below shows a game of noughts and crosses in progress.

What fraction of the available boxes are not filled in?

	`frac{5}{9}`
	`frac{3}{8}`
	`frac{1}{2}`
	`frac{4}{9}`

Show Answers Only

`frac{4}{9}`

Show Worked Solution

`text{Fraction}`	`= frac{ text{Squares not filled} }{ text{Total squares} }`
	`= frac{4}{9}`

Number, NAPX-p167381v01

The image below is the plan of a farming plot.

Squares containing plants represent land that is growing crops.

Which fraction shows the amount of land that is used for growing crops?

	`frac{4}{5}`
	`frac{5}{8}`
	`frac{1}{2}`
	`frac{3}{8}`

Show Answers Only

`frac{5}{8}`

Show Worked Solution

`text{Fraction}`	`= frac{ text{Squares growing crops} }{ text{Total squares} }`
	`= frac{10}{16}`
	`= frac{5}{8}`

Geometry, NAPX-p100504v02

Kendrick was driving on Sterling Road in the direction of the arrow on the map below.

Which direction is Kendrick heading?

	North-East
	North-West
	South-East
	South-West

Show Answers Only

`text(North-East)`

Show Worked Solution

`text{Kendrick was heading in the North-East direction.}`

Geometry, NAPX-p100504v01

Alexa was walking on Ruby Street in the direction of the arrow shown below.

In what direction is Alexa heading?

	North-East
	North-West
	South-East
	South-West

Show Answers Only

`text(South-East)`

Show Worked Solution

`text{Alexa was heading in the South-East direction.}`

Measurement, NAPX-p167365v02

Which shape has an area of exactly 12 square units?

	A
	B
	C
	D

Show Answers Only

`B`

Show Worked Solution

`text{Area of triangle} = text{b} xx text{h}`

`text{Check each option:}`

`text{A.} \ \ 5 xx 3 = 15 `

`text{B.} \ \ 2 xx 6 = 12 \ text{(Correct)}`

`text{C.} \ \ 8 xx 1 = 8`

`text{D.} \ \ 9 xx 2 = 18`

`therefore \ text{square B has an area of exactly 12 square units.}`

Measurement, NAPX-p167365v01

What shape has an area greater than 11 square units?

	A
	B
	C
	D

Show Answers Only

`A`

Show Worked Solution

`text{Area of triangle} = frac{1}{2} xx text{b} xx text{h}`

`text{Check each option:}`

`text{A.} \ frac{1}{2} xx 6 xx 4 = 12 \ text{(Correct)}`

`text{B.} \ frac{1}{2} xx 3 xx 3 = 4.5`

`text{C} \ frac{1}{2} xx 6 xx 3 = 9`

`text{D} \ frac{1}{2} xx 4 xx 4 = 8`

`therefore \ text{triangle A has an area greater than 11 square units.}`

Probability, NAPX-p116940v05

The arrow pictured below is spun once.

Which number is the spinner least likely to land on?

1	2	3	1 or 2

Show Answers Only

`2`

Show Worked Solution

` text{Least likely to land on 2.}`

`text{It takes up the smallest area on the spinner}`

Probability, NAPX-p116940v04

A disk is thrown onto the table pictured below.

It has an equal chance of landing in any square.

Which numbered square is the disk least likely to land in?

3	4	5	same chance for each number

Show Answers Only

`4`

Show Worked Solution

` text{Only 1 square is numbered 4 (all other numbers have 2 squares).}`

`therefore \ text{Least likely to land in square 4}`

Measurement, NAPX-p124624v04

Barnsy owned a carp that was one quarter of a metre long.

How long was Barnsy's carp in millimetres?

	4000
	2000
	400
	250
	50

Show Answers Only

`250`

Show Worked Solution

`1 \ text{metre} = 1000 \ text{millimetres}`

`frac{1}{4} \ text{metre}`	` = frac{1}{4} xx 1000`
	`= 250 \ text{millimetres}`

Measurement, NAPX-p124624v03

Calvin bought half a kilogram of prawns from the fish market.

How many grams of prawns did Calvin buy?

	5
	25
	50
	500
	750

Show Answers Only

`500`

Show Worked Solution

`1 \ text{kilogram} = 1000 \ text{grams}`

`frac{1}{2} \ text{kilogram} = 500 \ text{grams}`

Measurement, NAPX-p116865v04

Scott expects his wine to be delivered on the 28th March.

He is told by the distributor that its delivery will be delayed by 5 days.

What day of the week will the wine now be delivered?

Monday	Tuesday	Wednesday	Saturday

Show Answers Only

`text{Tuesday}`

Show Worked Solution

`text{28th March is a Thursday.}`

`therefore \ text{5 days later is a Tuesday.}`

Measurement, NAPX-p116865v03

Marty expects his gold mining drench to be delivered on the 28th of June.

Delays at customs mean it will be delivered 6 days later.

Which day of the week should the drench now be delivered?

Saturday	Sunday	Monday	Tuesday

Show Answers Only

`text{Monday}`

Show Worked Solution

`text{28th June is a Tuesday.}`

`therefore \ text{6 days later is a Monday.}`

Measurement, NAPX-p116876v04

Flanno builds the shape below using identical small blocks.

What is the smallest number of blocks Flanno needs to build a cube?

10	11	12	13

Show Answers Only

`10`

Show Worked Solution

`text{The smallest cube will be} \ 3 xx 3 xx 3`

`text{Bottom row = 1}`

`text{2nd row = 5}`

`text{Top row = 7}`

`therefore \ text{13 blocks needed}`

Measurement, NAPX-p116876v03

Ella builds the shape below using identical small blocks.

What is the smallest number of blocks Ella needs to build a cube?

8	9	10	11

Show Answers Only

`10`

Show Worked Solution

`text{The smallest cube will be} \ 3 xx 3 xx 3`

`text{Bottom row = 2}`

`text{2nd row = 3}`

`text{Top row = 5}`

`therefore \ text{10 blocks needed}`

Number, NAPX-p116787v02

Which arrow points to the number that is halfway between 10 and 26?

A	B	C	D

Show Answers Only

`C`

Show Worked Solution

`text{Halfway between 10 and 26}`

`= frac{10 + 26}{2}`

`= frac{36}{2}`

`= 18`

`=> \ C`

Number, NAPX-p116787v01

Which arrow points to the number that is halfway between 18 and 30?

A	B	C	D

Show Answers Only

`B`

Show Worked Solution

`text{Halfway between 18 and 30}`

`= frac{18 + 30}{2}`

`= frac{48}{2}`

`= 24`

`=> \ B`

Geometry, NAPX-p124059v02

Nancy is making a rectangular prism using plastic balls and sticks.

How many more sticks does Nancy need to finish the rectangular prism?

1	2	4	5	6

Show Answers Only

`5`

Show Worked Solution

`text{5 more sticks are needed.}`

Geometry, NAPX-p124059v01

Heath is making a square pyramid using plastic balls and sticks.

How many more sticks does Heath need to finish the square pyramid?

1	2	3	4	5

Show Answers Only

`3`

Show Worked Solution

`text{3 more sticks are needed.}`

Algebra, NAPX-p116602v02

Jordan lives in Perth and receives 10 cents for every glass bottle she recycles at the depot.

Jordan takes 33 glass bottles to the depot.

How much money will she receive?

33 cents	$3.30	$33.00	$333

Show Answers Only

`$3.30`

Show Worked Solution

	`33 xx 10 ¢`	`= 330 ¢`
		`= $3.30`

Algebra, NAPX-p116602v01

Jardine lives in Adelaide and receives 5 cents for every plastic bottle he delivers to the recycling depot.

Jardine delivers 18 plastic bottles.

How much money will he receive?

$900	$90	$9.00	$0.90

Show Answers Only

`$0.90`

Show Worked Solution

`18 xx 5 ¢`	`=9 xx 10¢`
	`=90 ¢`
	`=$0.90`

Probability, NAPX-p116940v03

A spinning wheel has sections labelled with different numbers.

Which of the numbers in the wheel is the spinner most likely to land on?

	1 or 3
	1
	2 or 4
	All of the colours are equally likely

Show Answers Only

`text{All of the colours are likely to land on}`

Show Worked Solution

`text{S}text{ince the spinner is divided into 8 equal parts and each colour has}`

`text{2 parts → all colours are equally likely.}`

Probability, NAPX-p116940v02

A spinning wheel has 3 different colours.

Which colour in the wheel is most likely to land on?

	White
	Black
	Grey
	All of the colours are equally likely

Show Answers Only

`text{Grey}`

Show Worked Solution

`text{By inspection, grey is the most likely as it it shades the}`

`text{largest area of the wheel.}`

Number, NAPX-p116764v04

Pringle has 55 twenty-cent coins in his money pouch.

How much money does Pringle have?

	$9.50
	$11.00
	$20.50
	$55.00

Show Answers Only

`$11.00`

Show Worked Solution

`text(5 twenty-cent coins = $1.00)`

`:.\ text(55 twenty-cent coins)`	`=11 xx $1.00`
	`=$11.00`

Number, NAPX-p116764v03

Sheena has 26 twenty-cent coins in her piggy bank.

How much money does Sheena have?

	$26.20
	$5.20
	$5.00
	$4.40

Show Answers Only

$5.20

Show Worked Solution

`text(5 twenty-cent coins = $1.00)`

`:.\ text(26 twenty-cent coins)`	`=5 xx $1.00 + 20\ text(cents)`
	`=$5.20`

Measurement, NAPX-p116903v03

Wilde compared the weight of four different solid figures by using a balancing scale.

Which of the four objects is the heaviest?

Show Answers Only

Show Worked Solution

`text{By inspection:}`

`text(Triangle → heavier than the hexagon.)`

`text(Triangle → same weight as the oval.)`

`text(Star → heavier than the oval.)`

`:.\ text(Star is the heaviest.)`

Measurement, NAPX-p116903v02

Banjo compared the weight of four different solid figures by using a balancing scale.

Which of the four objects is the lightest?

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`text{By inspection:}`

`text(Sphere → lighter than the cube.)`

`text(Sphere → same weight as the cylinder.)`

`text(Cylinder → heavier than the pentagonal prism.)`

`:.\ text(Pentagonal prism is the lightest.)`

Measurement, NAPX-p116893v03

Mince decided to paint some triangles red in the four figures below.

All triangles are the same size.

Which of these figures has the smallest area that is painted red.

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`text{Smallest area painted red = lowest number of triangles painted red.}`

`text{Check each option:}`

`text{1st Figure – 9 triangles}`

`text{2nd Figure – 9 triangles}`

`text{3rd Figure – 10 triangles}`

`text{4th Figure – 7 triangles}`

`therefore \ text{4th Figure has the smallest area painted red}`