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Algebra, NAPX-I2-09

Chitwan was the top scorer in his water polo team over two seasons.

In season 1, he scored 35 goals.

In season 2, he scored 45 goals.

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

 
`30 + 40 + 5 = 75`
 
`40 + 50 = 90`
 
`30 + 40 = 70`
 
`30 + 40 + 10 = 80`
Show Answers Only

`30 + 40 + 10 = 80`

Show Worked Solution

`text(Total goals over 2 seasons)`

`= 35 + 45`

`= 30 + 5 + 40 + 5`

`= 30 + 40 + 10`

`= 80`

Filed Under: Number and Place Value, TESTLET B Tagged With: NAPX-MultipleChoice

Geometry, NAPX-p116721v01

Rambo drew a straight line on a shape.

The line divided the shape into two triangles.

Which shape below could not have been Rambo's original shape?​

 
 
 
 
 
Show Answers Only

Show Worked Solution

`text(All other shapes with 4 sides could have)`

`text(been divided into 2 triangles.)`
 

Filed Under: 2D-3D Shapes, TESTLET B Tagged With: NAPX-MultipleChoice

Geometry, NAPX-I2-08

Colin drew a straight line on a shape.

The line divided the shape into two triangles.

Which shape below could not have been Colin's original shape?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(All other shapes with 4 sides could have)`

`text(been divided into 2 triangles.)`
 

Filed Under: Transformations and Symmetry Tagged With: NAPX-MultipleChoice

Algebra, NAPX-p116672v01

Simon uses the number sentence  12 ÷ 4 = 3  to solve a problem.

Which of the problems below would the number sentence solve?

 
Simon has 12 chickens and gives 4 away.
How many chickens does he have now?
   
 
Simon has 12 chickens that laid 4 eggs each.
How many eggs does Simon have?
   
 
Simon has 4 chickens and buys 3 more.
How many chickens does Simon have?
   
 
Simon has 12 eggs and divides them evenly into 4 cartons.
How many eggs are in each carton?
Show Answers Only

`text(Simon has 12 eggs and divides them evenly into 4 cartons.)`

`text(How many eggs are in each carton?)`

Show Worked Solution

`text(Simon has 12 eggs and divides them evenly into 4 cartons.)`

`text(Expressing as an equation:)`

`text(Total eggs in each carton)` `= 12 ÷ 4`
`3` `= 12 ÷ 4`

Filed Under: Solving Problems - Multiply/Divide, TESTLET E Tagged With: NAPX-MultipleChoice

Algebra, NAPX-I2-07

Karen uses the number sentence  12 × 3 = 36  to solve a problem.

Which of the problems below would the number sentence solve?

 
Karen has 12 dogs and buys 3 more.
How many dogs does she have now?
   
 
Karen has 12 dogs. She gives each of them 3 biscuits.
How many dog biscuits does Karen give to her dogs?
   
 
Karen has 12 dogs. She divides them evenly into 3 kennels.
How many dogs will be in each kennel?
   
 
Karen has 12 dogs and gives 3 away.
How many dogs does she have now?
Show Answers Only

`text(Karen has 12 dogs. She gives each of them 3 biscuits.)`

`text(How many dog biscuits does Karen give to her dogs?)`

Show Worked Solution

`text(If Karen has 12 dogs, and gives each of them 3 biscuits,)`

`text(Expressing as an equation:)`

`text(Total dog biscuits)` `= 12 xx 3`
`36` `= 12 xx 3`

Filed Under: Solving Problems - Multiply/Divide, TESTLET B Tagged With: NAPX-MultipleChoice

Number, NAPX-p116663v01

Pamela skips rope. In one hour she completed five thousand two hundred and five skips.
 

 
The number of skips can be written as:

`50\ 205` `5025` `5205` `525`
 
 
 
 
Show Answers Only

`5205`

Show Worked Solution

`text(five thousand two hundred and five contains:)`

`=>\ text(5 “thousands”)`

`=>\ text(2 “hundreds”)`

`=>\ text(0 “tens”)`

`=>\ text(5 “ones”)`

`:. 5205`

Filed Under: Number and Place Value Tagged With: NAPX-MultipleChoice

Number, NAPX-I2-06

Olive skips rope.

In twenty-five minutes she completed two thousand and thirty nine skips.
 

  
The number of skips can be written as:

`239` `2039` `2309` `20\ 309`
 
 
 
 
Show Answers Only

`2039`

Show Worked Solution

`text(Two thousand and thirty nine contains:)`

`=>\ text(2 “thousands”)`

`=>\ text(0 “hundreds”)`

`=>\ text(3 “tens”)`

`=>\ text(9 “ones”)`

`:. 2039`

Filed Under: Number and Place Value Tagged With: NAPX-MultipleChoice

Geometry, NAPX-p116636v01

Albert folded this piece of paper along the dotted lines to make a model.
 

 
Which of these models did Albert make?​

   
 
 
 
 
Show Answers Only

Show Worked Solution

`text(The net folds into a triangular prism)`

Filed Under: 2D-3D Shapes Tagged With: NAPX-MultipleChoice

Geometry, NAPX-I2-04

Dijon folded this piece of paper along the dotted lines to make a model.
 

 
Which of these models did Dijon make?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(The net folds into a right-angled triangular prism)`
 

Filed Under: 2D-3D Shapes, TESTLET A Tagged With: NAPX-MultipleChoice

Number, NAPX-p116616v02

Harold is travelling between Alice Springs and the Davenport Ranges.

He knows it is less than 476 kilometres but more than 448 kilometres.

Which of these could be the number of kilometres that Harold has to travel?

`429` `438` `468` `477`
 
 
 
 
Show Answers Only

`468`

Show Worked Solution

`text(468 is less than 476 and more than 448.)`

Filed Under: Number and Place Value Tagged With: NAPX-MultipleChoice

Number, NAPX-p116616v01

Nick is travelling between Margaret River and Geraldton.

He knows it is more than 646 kilometres but less than 664 kilometres.

Which of these could be the number of kilometres that Nick has to travel?

`666` `662` `644` `628`
 
 
 
 
Show Answers Only

`662`

Show Worked Solution

`text(662 is more than 646 and less than 664.)`

Filed Under: Number and Place Value Tagged With: NAPX-MultipleChoice

Number, NAPX-I2-03

Kate is travelling from Byron Bay to Port Macquarie.

She knows that it is more 357 kilometres but less than 375 kilometres.

Which of these could be the number of kilometres that Kate has to travel?

`335` `353` `373` `377`
 
 
 
 
Show Answers Only

`373`

Show Worked Solution

`text(373 is more than 357 and less than 375.)`

Filed Under: Number and Place Value Tagged With: NAPX-MultipleChoice

Algebra, NAPX-p116602v02

Arnie recycles aluminum cans and receives 10 cents per can at the local recycling depot.

Arnie has collected 84 aluminum cans.

How much will he receive from the depot?

`$840` `$84` `$8.40` `84¢`
 
 
 
 
Show Answers Only

`$8.40`

Show Worked Solution
`84 xx 10¢` `= 840¢`
  `= $8.40`

Filed Under: Solving Problems - Multiply/Divide Tagged With: NAPX-MultipleChoice

Algebra, NAPX-p116602v01

Karl recycles the plastic bottles his family use and receives 10 cents for each bottle he recycles.

Last month, he collected 43 plastic bottles.

How much will he receive?

`40¢` `$4.30` `$43` `$430`
 
 
 
 
Show Answers Only

`$4.30`

Show Worked Solution
`43 xx 10¢` `= 430¢`
  `= $4.30`

Filed Under: Solving Problems - Multiply/Divide Tagged With: NAPX-MultipleChoice

Algebra, NAPX-I2-01

Banjo lives in Tasmania and receives 10 cents for every glass bottle that he takes to the recycling depot.

Banjo recycles 36 glass bottles.

How much money will he receive?

`$360` `$36` `$3.60` `36¢`
 
 
 
 
Show Answers Only

`$3.60`

Show Worked Solution
`36 xx 10¢` `= 360¢`
  `= $3.60`

Filed Under: Financial Maths, TESTLET A Tagged With: NAPX-MultipleChoice

Number, NAPX-I2-27

Curly, Larry and Moe share a bag of strawberries.

Curly and Larry get  `1/8`  of the strawberries each.

What fraction of the bag of strawberries does Moe get?

`1/8`  `2/8`  `6/8`  `7/8`
 
 
 
 
Show Answers Only

`6/8`

Show Worked Solution

`text(Fraction that Curly and Larry receive)`

`= 1/8 + 1/8`

`= 2/8`
 

`:.\ text(Fraction left for Moe)`

`= 1 – 2/8`

`= 6/8`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: NAPX-MultipleChoice

Geometry, NAPX-F3-NC06

Justine painted the letter L on a paper square.

She folded the paper square along the dotted line while the paint was still wet.

She then unfolded the paper square.

What was on the square?

 
 
 
 
Show Answers Only

Show Worked Solution

Filed Under: 2D-3D Shapes and Location, 2D-3D Shapes and Location Tagged With: NAPX-MultipleChoice

Number, NAPX-F3-NC04

Ivanka has $6.60 and bought a muffin that cost her $3.95.

How much money does she have left?

`$2.65` `$3.35` `$3.65` `$10.55`
 
 
 
 
Show Answers Only

`$2.65`

Show Worked Solution
`text(Money left)` `= 6.60 – 3.95`
  `= $2.65`

Filed Under: Financial Maths, TESTLET A2 Tagged With: NAPX-MultipleChoice

Statistics and Probability, NAPX-F3-NC03

This graph shows the number of customers in a supermarket at 10-minute intervals over 3 hours.

At which of these times was the greatest number of customers in the store?

`9:20` `10:10` `11:40` `11:50`
 
 
 
 
Show Answers Only

`11:50`

Show Worked Solution

`11:50\ text{(by inspection)}`

Filed Under: Data and Statistics, Data and Statistics Tagged With: NAPX-MultipleChoice

Geometry, NAPX-F3-NC02

This spreadsheet shows the names of students in three classes.

Which athlete's name is in cell B3?

Dom Ian Martin Mike
 
 
 
 
Show Answers Only

`text(Martin)`

Show Worked Solution

`text(Martin is in cell B3)`

Filed Under: Location, Directions and Angles, Maps and Bearings, Maps and Directions Tagged With: NAPX-MultipleChoice

Geometry, NAPX-F3-NC01

Which of these nets will not fold to make a triangular prism?
 

 
 
 
 
Show Answers Only

Show Worked Solution

`text(This net folds into a square pyramid.)`

Filed Under: 2D-3D Shapes and Location, 2D-3D Shapes and Location Tagged With: NAPX-MultipleChoice

Number, NAPX-E3-CA20

The number 97 697 can be rounded in different ways.

Which two ways of rounding give the same answer?

 
rounding to the nearest ten and nearest hundred
 
rounding to the nearest ten and nearest thousand
 
rounding to the nearest hundred and nearest thousand
 
rounding to the nearest thousand and nearest ten thousand
Show Answers Only

`text(rounding to the nearest ten and nearest hundred)`

Show Worked Solution

`text(Rounding to the nearest ten)`

`97\ 697 -> 97\ 700`

`text(Rounding to the nearest hundred)`

`97\ 697 -> 97\ 700`
 

`:.\ text(rounding to the nearest ten and nearest hundred.)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations, Number and Place Value Tagged With: NAPX-MultipleChoice

Geometry, NAPX-E3-CA19

Igor drew a shape with more than four lines of symmetry.

Which of these could be Igor's shape?
 

 
 
 
 
Show Answers Only

Show Worked Solution

`text(The regular hexagon has 6 lines of symmetry.)`

Filed Under: 2D-3D Shapes and Location, 2D-3D Shapes and Location, Transformations and Symmetry Tagged With: NAPX-MultipleChoice

Number, NAPX-E3-CA18

Brin works part time in a coffee shop.

On weekends, he earns 1.5 times as much per hour as he earns on weekdays.

One week, he works 9 hours on a weekday and 4 hours on the weekend.

His pay for the week was $270.

How much does he earn in 1 hour on a weekday?

`$12.00` `$16.00` `$18.00` `$20.00` `$20.50`
 
 
 
 
 
Show Answers Only

`$18.00`

Show Worked Solution

`text(Let)\ \ x = text(pay per hour on a weekday)`

`9x + (4 xx 1.5 x)` `= 270`
`15x` `= 270`
`x` `= 270 -: 15`
  `= $18`

Filed Under: Financial Maths, Financial Maths Tagged With: NAPX-MultipleChoice

Number, NAPX-E3-CA16

Rafty earns $75 000 per year.

He is paid in equal monthly payments.

How much does he earn in 4 months?

`$6250` `$7500` `$18\ 750` `$25\ 000`
 
 
 
 
Show Answers Only

`$25\ 000`

Show Worked Solution

`text(Earnings in 4 months)`

`= 4/12 xx 75\ 000`

`= $25\ 000`

Filed Under: Financial Maths, Financial Maths Tagged With: NAPX-MultipleChoice

Geometry, NAPX-E3-CA14

Which of these shapes has exactly six faces?

 
a pentagonal prism
 
a triangular pyramid
 
a square pyramid
 
a rectangular prism
Show Answers Only

`text(rectangular prism)`

Show Worked Solution

`text(A rectangular prism has six faces.)`

Filed Under: 2D-3D Shapes and Location, TESTLET C Tagged With: NAPX-MultipleChoice

Statistics and Probability, NAPX-E3-CA07

Jaya did a survey of the number of female toilets in three shopping centres.

The results were recorded in the table below but the key has been left off the graph?

The total number of female toilets was 50.

How many toilets does represent in the graph?
`1`   `2`  `4`  `5`
 
 
 
 
Show Answers Only

`4`

Show Worked Solution

`text(Total number of female symbols)`

`= 5 + 4.5 + 3`

`= 12.5`
 

`:.\ text(The number of toilets one symbol represents)`

`=50/12.5`

`= 4`

Filed Under: Data and Statistics, Data and Statistics Tagged With: NAPX-MultipleChoice

Number, NAPX-E3-CA13

Alan planted a tree in his yard.

His measurements showed that in 1 full year, the height of the tree increased 65 centimetres.

On average, how many centimetres did the tree grow per day?

`0.18\ text(cm)` `0.65\ text(cm)` `1.25\ text(cm)` `5.42\ text(cm)`
 
 
 
 
Show Answers Only

`0.18\ text(cm)`

Show Worked Solution

`text(Average growth per day)`

`= 65 ÷ 365`

`= 0.178`

`~~ 0.18\ text(cm per day)`

Filed Under: Rates and Ratios, TESTLET E Tagged With: NAPX-MultipleChoice

Number, NAPX-E3-CA11

Stix wants to make 6 possum pies.

Each pie needs 5 potatoes. He has no potatoes so he goes to the shop.

The shop sells potatoes in bags of 12.

How many bags does Stix need to buy?

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

`3`

Show Worked Solution

`text(Number of potatoes needed)`

`= 6 xx 5`

`= 30`
 

`:.\ text(Number of bags needed)`

`= 30 ÷ 12`

`= 2\ text(remainder 6)`

`= 3`

Filed Under: Basic Concepts and Calculations, TESTLET C Tagged With: NAPX-MultipleChoice

Number, NAPX-E3-CA10

Which number is missing from this number sentence?

`(153.8 - 11.1) xx`
 
`= 549.395`
`3.85` `4.36` `35.64` `63.35`
 
 
 
 
Show Answers Only

`3.85`

Show Worked Solution

`text(Let)\ \ N = text(missing number)`

`(153.8 – 11.1) xx N` `= 549.395`
`142.7 xx N` `= 549.395`
`N` `= 549.395/142.7`
  `= 3.85`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: NAPX-MultipleChoice

Geometry, NAPX-E3-CA09

A diver completes a dive where she does one and a half somersaults before entering the water.

By how many degrees has the diver rotated her body in this dive?

`150^@` `270^@` `450^@` `540^@`
 
 
 
 
Show Answers Only

`540^@`

Show Worked Solution

`text(One somersault rotates)\ 360^@.`

`:.1 1/2\ text(somersaults)` `= 1.5 xx 360^@`
  `= 540^@`

Filed Under: Maps and Bearings, TESTLET A2 Tagged With: NAPX-MultipleChoice

Number, NAPX-E3-CA06

Nick had tests to check his health that are summarised in the table below.
 

  
For which tests were Nick's results within the normal range?

 
resting heart rate and blood sugar
 
blood sugar and vitamin C only
 
vitamin C only
 
no results were in the normal range
Show Answers Only

`text(no results were in the normal range)`

Show Worked Solution

`text(Checking each test:)`

`text(98 is not within 60 and 95)`

`text(4.1 is not within 4.2 and 6.1)`

`text(0.1 is not within 0.4 and 1.7)`

`:.\ text(no results were in the normal range)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: NAPX-MultipleChoice

Number, NAPX-E3-CA05

Lilly places her business cards in a stack that has a height of 120 mm.

Each business card has a thickness of 0.8 mm.

How many business cards are in the stack?

`96` `150` `164` `180`
 
 
 
 
Show Answers Only

`150`

Show Worked Solution

`text(Number of business cards)`

`= 120/0.8`

`= 150`

Filed Under: Word Problems, Word Problems Tagged With: NAPX-MultipleChoice

Measurement, NAPX-E3-CA03

A junior soccer oval is marked out with the dimensions shown below.
 

 
What is the area of the field?

 
`84\ text(square metres)`
 
`168\ text(square metres)`
 
`1056.25\ text(square metres)`
 
`1673.75\ text(square metres)`
Show Answers Only

`1673.75\ text(m²)`

Show Worked Solution

`text(Area of the soccer field)`

`= 51.5 xx 32.5`

`= 1673.75\ text(m²)`

Filed Under: Perimeter, Area and Volume, Perimeter, Area and Volume Tagged With: NAPX-MultipleChoice

Measurement, NAPX-E3-CA02

The pictures below show a thermometer at two different times.
 

 
By how much has the temperature risen?

`text(3°C)` `text(9°C)` `text(15°C)` `text(17°C)`
 
 
 
 
Show Answers Only

`text(15°C)`

Show Worked Solution

`text(Temperature rise)`

`= 6 – (-9)`

`= 15 text(°C)`

Filed Under: Units of Measurement, Units of Measurement Tagged With: NAPX-MultipleChoice

Number, NAPX-G3-NC30

Five people had sticks of different lengths.

Each person measured an 18 metre distance by counting how many stick lengths it took.

The results were put into the table below.
 

 
Which person had a stick that was 40 centimetres long?

John Caroline Paul Simon Ken
 
 
 
 
 
Show Answers Only

`text(Ken)`

Show Worked Solution

`text(Let)\ \ s= text(number of stick lengths)`

`s xx 40\ text(cm)` `= 18\ text(m)`
`40s` `= 1800\ text(cm)`
`s` `= 1800/40`
  `= 45`

 

`:.\ text(Ken’s stick is 40 cm.)`

Filed Under: Word Problems Tagged With: NAPX-MultipleChoice

Number, NAPX-G3-NC27

Which fraction is halfway between  `1/3`  and  `3/7`  on the number line?

`1/4` `2/7` `8/21` `1/2` `9/14`
 
 
 
 
 
Show Answers Only

`8/21`

Show Worked Solution

`text(Halfway between)\ \ 1/3 and 3/7`

`= 1/2 xx (1/3 + 3/7)`

`= 1/2 xx (7/21 + 9/21)`

`= 1/2 xx 16/21`

`= 8/21`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: NAPX-MultipleChoice

Algebra, NAPX-F3-CA19

Ricardo is drawing a repeating pattern on this grid.
 

 
Which of these points will be part of Ricardo's pattern?

`(19,1)` `(21, 2)` `(22, 5)` `(25, 2)`
 
 
 
 
Show Answers Only

`(23, 5)`

Show Worked Solution

Filed Under: Patterns and Coordinate Geometry, Patterns and The Number Plane Tagged With: NAPX-MultipleChoice

Number, NAPX-G3-NC24

This shape is made with three regular hexagons and three rhombuses.
 

 
What fraction of the shape is shaded?

`1/3` `1/2` `3/5` `2/3`
 
 
 
 
Show Answers Only

`1/2`

Show Worked Solution

`text(The three shaded smaller rhombuses can)`

`text(be joined to form a regular hexagon.)`

`:.\ text(Fraction shaded is)\  1/2.`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: NAPX-MultipleChoice

Number, NAPX-F3-CA22

Which number will complete this number sentence correctly?

`2.5 =`
 
`xx 3.5`

 

`3/7`  `5/7` `2/3` `8 3/4`
 
 
 
 
Show Answers Only

`5/7`

Show Worked Solution
`2.5` `= n xx 3.5`
`n` `= 2.5/3.5`
  `= 5/2 -: 7/2`
  `= 5/2 xx 2/7`
  `= 5/7`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: NAPX-MultipleChoice

Algebra, NAPX-F3-CA18

Felicity used this rule to make a number pattern.

Start with 3.

To get the next number, multiply by 3 then deduct 5.

The first four numbers in his pattern were  3, 4, 7, 16.

What was the sixth number in his pattern?

`43` `84` `124` `129`
 
 
 
 
Show Answers Only

`124`

Show Worked Solution

`text(Fifth number)`

`16 xx 3 – 5` `= 48 – 5=43`
   

`text(Sixth number)`

`43 xx 3 – 5` `= 129 – 5=124`

Filed Under: Patterns and Coordinate Geometry, Patterns and The Number Plane Tagged With: NAPX-MultipleChoice

Algebra, NAPX-F3-CA17

An AFL club has 68 junior players registered.

There are 10 more girls registered than boys.

How many boys are registered with the club?

`29` `30` `44` `60`
 
 
 
 
Show Answers Only

`29\ text(boys)`

Show Worked Solution

`text(Let)\ \ n = text(number of boys registered)`

`n + n + 10` `= 68`
`2n` `= 58`
`n` `= 29`

 

`:.\ text(29 boys are registered.)`

Filed Under: Basic Algebra, Basic Algebra and Rules Tagged With: NAPX-MultipleChoice

Statistics and Probability, NAPX-F3-CA16

Aaron went on holiday and spent his money on accommodation, golf and meals.

He spent $1500 in total and the pie chart below shows how he spent it.
 

 
How much money did Aaron spend on meals on his holiday?

`$225` `$375` `$425` `$600`
 
 
 
 
Show Answers Only

`$225`

Show Worked Solution

`text(Percentage spent on accommodation)`

`= 675/1500 xx 100`

`= 45text(%)`
 

`=>\ text(Percentage on meals) = 100 – (40+45) = 15text(%)`

`:.\ text(Amount spent on meals)`

`= 15text(%) xx 1500`

`= $225`

Filed Under: Data and Statistics, Data and Statistics Tagged With: NAPX-MultipleChoice

Geometry, NAPX-F3-CA15

 
What is the size of the missing angle?

`30^@` `40^@` `50^@` `60^@` `70^@`
 
 
 
 
 
Show Answers Only

`50°`

Show Worked Solution

`text(S)text(ince there are 360° in a quadrilateral,)`

`text(Angle)` `= 360 – (70 + 120 + 120)`
  `= 360 – 310`
  `= 50°`

Filed Under: TESTLET D, Triangles and Other Geometric Properties Tagged With: NAPX-MultipleChoice

Number, NAPX-F3-CA14

 
What number is added to  `3 1/2`  to equal  `4 1/4`?

`1/2`  `3/4`  `5/4`  `2`
 
 
 
 
Show Answers Only

`3/4`

Show Worked Solution

`4 1/4 – 3 1/2 = 3/4`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: NAPX-MultipleChoice

Statistics and Probability, NAPX-F3-CA13

Which spinner does not show a 50-50 chance of landing on the    symbol?
 

 
 
 
 
Show Answers Only

Show Worked Solution

`text(Squares take up less than half of this spinner.)`

Filed Under: Chance, TESTLET D Tagged With: NAPX-MultipleChoice

Number, NAPX-F3-CA12

Basil cut a diagonal into a rectangular piece of wood.
 

 
What is the missing length?

`12\ text(cm)` `16\ text(cm)` `18\ text(cm)` `20\ text(cm)`
 
 
 
 
Show Answers Only

`20\ text(cm)`

Show Worked Solution

`text(Let)\ \ d=\ text(the unknown length)`

`23 + d` `= 32 + 11`
`:. d` `= 43 – 23`
  `= 20\ text(cm)`

Filed Under: Word Problems, Word Problems Tagged With: NAPX-MultipleChoice

Number, NAPX-F3-CA11

Gia was standing 250 metres away from a gun that is fired.

If the sound of the shot travelled at 330 metres per second, how many seconds did the sound take to travel from the gun to Gia?

0.758 1.200 1.282 8.250
 
 
 
 
Show Answers Only

`0.758`

Show Worked Solution
`text(Time)` `= text(distance)/text(speed)`
  `= 250/330`
  `= 0.7575…\ \ text(seconds)`

Filed Under: Rates and Ratios, TESTLET C Tagged With: NAPX-MultipleChoice

Geometry, NAPX-G3-NC22, NAPX-G2-33

 
Faith walked north along Bond Street and then turned right on to Bridge Street.

What was the first street she passed on her left?

Ivy Lane Kemp Street King Street Crown Street
 
 
 
 
Show Answers Only

`text(Kemp Street)`

Show Worked Solution

`text(Kemp Street)`

Filed Under: Location, Directions and Angles, TESTLET F Tagged With: NAPX-MultipleChoice

Geometry, NAPX-G3-NC20

A flag is rotated from Position 1 to Position 2.

Which of these could describe the rotation?

90° clockwise 90° anticlockwise 45° clockwise 45° anticlockwise
 
 
 
 
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`90^@\ text(anticlockwise)`

Show Worked Solution

`text(Rotation is)\ 90^@\ text(anticlockwise)`

Filed Under: 2D-3D Shapes and Location, 2D-3D Shapes and Location Tagged With: NAPX-MultipleChoice

Statistics and Probability, NAPX-G3-NC19, NAPX-G2-25

A spinner is spun 100 times and the results are recorded in the bar chart below.

 

Which of these spinners is most likely to give results shown in the graph?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(Landing on 2 should be about 50%.)`

`text(Landing on 1 or 4 should be about 25%.)`

`text(Landing on 3 should be about 25%.)`

`:.\ text(Most likely spinner is:)`
 

Filed Under: Probability, TESTLET D Tagged With: NAPX-MultipleChoice

Geometry, NAPX-G3-NC18

The rectangle below will be folded along the dashed line, BD.
 

 
Where will point `C` move to?

`P` `Q` `R` `S`
 
 
 
 
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`R`

Show Worked Solution

`:. C\ text(moves to)\ R`

Filed Under: 2D-3D Shapes and Location, 2D-3D Shapes and Location Tagged With: NAPX-MultipleChoice

Number, NAPX-G3-NC17

Which of these values below makes this number sentence true?

`6 xx`  
 
  `> 48`
`6` `7` `8` `9`
 
 
 
 
Show Answers Only

`9`

Show Worked Solution

`text(By trial and error:)`

`6 xx 6 = 36 < 48`

`6 xx 7 = 42 < 48`

`6 xx 8 = 48`

`6 xx 9 = 54 > 48` ✔

`:.\ text(9 makes the number sentence correct.)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: NAPX-MultipleChoice

Statistics and Probability, NAPX-G3-NC16

Zachary has a bag of marbles.

The number of marbles of each colour is recorded in the table below.
 

 
Zachary randomly takes 1 marble out of his bag without looking.

What is the chance it is red?

`1/27` `1/9` `1/3` `1/2`
 
 
 
 
Show Answers Only

`1/3`

Show Worked Solution
`text{P (red)}` `= text(Number of red marbles) / text(Total marbles)`
  `= 9/27`
  `= 1/3`

Filed Under: Probability, Probability Tagged With: NAPX-MultipleChoice

Number, NAPX-F3-CA10

The number 0.35 is between

 
`0.03 and 0.3`
 
`0.3 and 1`
 
`3 and 4`
 
`30 and 40`
Show Answers Only

`0.3 and 1`

Show Worked Solution

`0.3 and 1`

Filed Under: Decimals, TESTLET B Tagged With: NAPX-MultipleChoice

Number, NAPX-F3-CA09

What is the value of `36^2?`

`6`  `38` `72` `636` `1296`
 
 
 
 
 
Show Answers Only

`1296`

Show Worked Solution
`36^2` `= 36 xx 36`
  `= 1296`

Filed Under: Basic Concepts and Calculations, TESTLET E Tagged With: NAPX-MultipleChoice

Number, NAPX-F3-CA08

The shaded area on this graph shows how much of a computer file has loaded.
 

 

 
What percentage of the file has loaded?

`text(25%)` `text(30%)` `text(33%)` `text(35%)`
 
 
 
 
Show Answers Only

`text(35%)`

Show Worked Solution

`text(Total number of bars) = 20`

`text(Number of shaded bars) = 7`

`:.\ text(Percentage loaded)` `=  7/20`
  `= 0.35`
  `= 35text(%)`

Filed Under: Percentages, TESTLET D Tagged With: NAPX-MultipleChoice

Algebra, NAPX-F3-CA07

The rule below results in the following table.

What is the missing number in the table?

`104` `212` `304` `312`
 
 
 
 
Show Answers Only

`304`

Show Worked Solution
`3 xx 100 + 4` `= 300 + 4`
  `= 304`

Filed Under: Basic Algebra, TESTLET E Tagged With: NAPX-MultipleChoice

Geometry, NAPX-F3-CA06

Two sides of a triangle measure 7 cm and 15 cm.

Which one of these statements about the length of the third side is true?

 
Its length is greater than 22 cm.
 
Its length is less than 8 cm.
 
Its length is 8 cm.
 
Its length is greater than 8 cm but less than 22 cm.
Show Answers Only

`text(Its length is greater than 8 cm but less than 22 cm.)`

Show Worked Solution

`text(Its length is greater than 8 cm but less than 22 cm.)`

Filed Under: TESTLET B, Triangles and Other Geometric Properties Tagged With: NAPX-MultipleChoice

Number, NAPX-F3-CA05

Tigers sleep for an average of 15 hours each day.

What fraction of the day is an average tiger awake?

`9/15` `24/15` `15/9` `9/24`
 
 
 
 
Show Answers Only

`9/24`

Show Worked Solution

`text(Hours awake)`

`= 24  – 15`

`= 9\ text(hours)`
 

`:.\ text(Fraction awake) = 9/24` 

Filed Under: Fractions and Decimals, TESTLET C Tagged With: NAPX-MultipleChoice

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