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Geometry, NAPX-G2-19

Romeo has a square piece of paper.

He folds it in half twice and then cuts a piece off as shown below.
 

What will the square piece of paper look like after Romeo unfolds it?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(The shape will have 8 sides.)`
 

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

Measurement, NAPX-p124595v02

Rudolph went overseas on 4 December.

Charlotte left for overseas 6 days earlier than Rudolph.

On which day of the week did Charlotte leave for overseas?

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

`text(Wednesday)`

Show Worked Solution

`text(Working backwards:)`

`text(1 day before 4 December)\ ->\ text(Monday)`

`text(2 days before 4 December)\ ->\ text(Sunday)`

`vdots`

`text(6 days before 4 December)\ ->\ text(Wednesday)`

Filed Under: TESTLET A, Time Tagged With: NAPX-MultipleChoice

Measurement, NAPX-p124595v01


 

David has a dentist appointment on 4 June.

5 days before the appointment, David's tooth fell out.

On which day of the week did his tooth fall out?

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

`text(Wednesday)`

Show Worked Solution

`text(Working backwards:)`

`text(1 day before 4 June)\ ->\ text(Sunday)`

`text(2 days before 4 June)\ ->\ text(Monday)`

`vdots`

`text(5 days before 4 June)\ ->\ text(Wednesday)`

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

Measurement, NAPX-G2-17


 

The French Open women's tennis final was held on 2 June.

6 days before the final, Lleyton arrived in Paris.

On what day of the week did Lleyton arrive in Paris?

`text(Saturday)` `text(Sunday)` `text(Wednesday)` `text(Thursday)` `text(Friday)`
 
 
 
 
 
Show Answers Only

`text(Sunday)`

Show Worked Solution

`text(Working backwards:)`

`text(1 day before 2 June)\ ->\ text(Friday)`

`text(2 days before 2 June)\ ->\ text(Thursday)`

`vdots`

`text(6 days before 2 June)\ ->\ text(Sunday)`

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

Geometry, NAPX-p124579v01

Kyle stuck some different shapes on his classroom window.

They look like this from the inside of the classroom.
 

 
What do they look like from the outside of the classroom?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(From the outside of the classroom:)`

  • `text(The square and the rectangle will be on the left.)`
  • `text(The top of the triangle will be seen.)`
  • `text(The circle will be on top of the square and rectangle.)`
     

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

Geometry, NAPX-G2-16

Mary stuck some different shapes onto the back window of her car.

They look like this from the outside.
 

 
What do they look like from inside the car?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(Consider the 6-sided shape and the triangle.)`

`text(From the inside of the car:)`

`text(The 6-sided shape will be on the left side, and the)`

`text(triangle’s corner will be on top of the overlap.)` 
 

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

Statistics, NAPX-p124566v01

Darren measured the temperature every 3 hours from 6:00 am to 3:00 pm.

 

Which graph shows Darren's results?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(1st increase) = 25 – 18 = 7^@`

`text(2nd increase) = 28 – 25 = 3^@`

`=>\ text(Temperature then drops 1° to)\ 27^@`
 

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

Statistics, NAPX-G2-15

Christie measured the temperature every 3 hours from 6:00 am to 3:00 pm.
 

 
Which graph shows Christie's results?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(1st increase) = 27 – 22 = 5^@`

`text(2nd increase) = 32 – 27 = 5^@`

`=>\ text(Temperature then drops to)\ 26^@`
 

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

Measurement, NAPX-p124557v01

Gina started with 635 millilitres of water in a flask.

After pouring some some water out, the flask is pictured below.
 

  
How much water did Gina pour out of the flask?

`text(800 millilitres)` `text(600 millilitres)` `text(100 millilitres)` `text(35 millilitres)`
 
 
 
 
Show Answers Only

`text(35 millilitres)`

Show Worked Solution

`text(S) text(ince the flask now has 600 mL,)`

`text(Volume of water poured out)`

`= 635 – 600`

`= 35\ text(millilitres)`

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

Measurement, NAPX-I2-15

Carlos started with 460 millilitres of water in a flask.

After he poured some of the water into a cup, the level of water in the flask is pictured below.
 
 

  
How much water did Carlos pour into the cup?

`text(400 millilitres)` `text(100 millilitres)` `text(60 millilitres)` `text(50 millilitres)`
 
 
 
 
Show Answers Only

`text(60 millilitres)`

Show Worked Solution

`text(S) text(ince the flask now has 400 mL,)`

`text(Volume of water poured into the cup)`

`=460 – 400`

`= 60\ text(millilitres)`

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

Algebra, NAPX-p124421v02

Godiva made 83 chocolates.

She placed them in boxes of 7 chocolates.

What is the maximum number of boxes she can fill up?

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

`11`

Show Worked Solution

`text(Boxes that can be filled)`

`= 83 ÷ 7`

`= 11\ text(remainder 6)`
 

`:.\ text(Godiva can fill up 11 full boxes.)`

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

Algebra, NAPX-p124421v01

Justin made 110 chocolates.

He placed them in boxes of 9 chocolates.

What is the maximum number of boxes he can fill up?

`9` `12` `13` `14`
 
 
 
 
Show Answers Only

`12`

Show Worked Solution

`text(Boxes that can be filled)`

`= 110 ÷ 9`

`= 12\ text(remainder 2)`
 

`:.\ text(Justin can fill up 12 full boxes.)`

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

Algebra, NAPX-G2-14

Humphrey collects 80 eggs from his chicken shed.

He puts the eggs in cartons that hold 6 eggs each.

How many full cartons can he fill?

`8` `12` `13` `14`
 
 
 
 
Show Answers Only

`13`

Show Worked Solution

`text(Cartons that can be filled)`

`= 80 ÷ 6`

`= 13\ text(remainder 2)`
 

`:.\ text(Humphrey can pack 13 full cartons.)`

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

Measurement, NAPX-p124408v02

Jane made 4 patterns on a grid paper.

Which pattern has the most shading?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(Consider the shading on each option:)`

`text(Option 1: 10 squares + 2 triangles = 11 squares)`

`text(Option 2: 6 squares + 6 triangles = 9 squares)`

`text(Option 3: 6 squares + 8 triangles = 10 squares)`

`text(Option 4: 6 squares + 8 triangles = 10 squares)`
 

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

Measurement, NAPX-p124408v01

Leon made 4 patterns on a grid paper.

Which pattern has the least shading?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(Consider the shading on each option:)`

`text(Option 1: 8 squares + 4 triangles = 10 squares)`

`text(Option 2: 6 squares + 6 triangles = 9 squares)`

`text(Option 3: 10 squares + 2 triangles = 11 squares)`

`text(Option 4: 6 squares + 8 triangles = 10 squares)`
 

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

Measurement, NAPX-G2-12

Fyodor made 4 patterns on a grid paper.

Which pattern has the most shading?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(Consider the shading on each option:)`

`text(Option 1: 8 squares + 4 triangles = 10 squares)`

`text(Option 2: 6 squares + 4 triangles = 8 squares)`

`text(Option 3: 10 squares + 2 triangles = 11 squares)`

`text(Option 4: 6 squares + 8 triangles = 10 squares)`
 

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

Probability, NAPX-p109746v02

Angus has a bag full of lollies.

The bag contains jelly snakes, maltesers and sour worms.

Angus closes his eyes and picks one lolly from his bag.

Which of the following could be the probability that Angus picked a sour worm?

`2` `100/5` `1.57` `1/11`
 
 
 
 
Show Answers Only

`1/11`

Show Worked Solution

`text(Any probability must be between 0 and 1.)`

`:.\ text(Only possibility is)\ \ 1/11.`

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

Probability, NAPX-p109746v01

Penelope has a bag of jelly beans.

The jelly beans are flavoured vanilla, raspberry and licorice.

Penelope picks one jelly bean from her bag.

Which of the following could be the probability that the jelly bean she picks is vanilla.

`3/17` `1.02` `0` `19/3`
 
 
 
 
Show Answers Only

`3/17`

Show Worked Solution

`text(Any probability must be between 0 and 1.)`
 

`text(Probability cannot be equal to zero because we’re)`

`text(told there are vanilla jelly beans in the bag.)`

`:.\ text(Only possibility is)\ \ 3/17`

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

Number, NAPX-p124265v02

Jarryd has $58.

How much more money does he need to buy the football boots?

`$84` `$86` `$94` `$96`
 
 
 
 
Show Answers Only

`$84`

Show Worked Solution

`text(Extra money needed)`

`= 142 – 58`

`= $84`

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

Algebra, NAPX-p124265v01

Geoff has $88.
 

 
How much more money does he need to buy the tennis racquet?

`$84` `$86` `$94` `$96`
 
 
 
 
Show Answers Only

`$86`

Show Worked Solution

`text(Extra money needed for racquet)`

`= 174 – 88`

`= $86`

Filed Under: Solving Problems - Add/Subtract Tagged With: NAPX-MultipleChoice

Algebra, NAPX-G2-13

Chrissie has $67.

How much more money does she need to buy the tennis racquet?

`$63` `$73` `$67` `$77`
 
 
 
 
Show Answers Only

`$67`

Show Worked Solution

`text(Extra money needed for racquet)`

`= 134 – 67`

`= $67`

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

Number, NAPX-p124236v02


 

What is the missing number on this number line?

`40` `45` `50` `55`
 
 
 
 
Show Answers Only

`50`

Show Worked Solution

`text(Each mark is worth an extra 25.)`

`:. quad`
?
`= 25 + 25`
    `= 50`

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

Number, NAPX-p124236v01


 

On this number line which number `= quad`
?
`70` `80` `90` `100`
 
 
 
 
Show Answers Only

`100`

Show Worked Solution

`text(Each mark is worth an extra 20.)`

`:. quad`
?
`= 60 + 20 + 20`
    `= 100`

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

Number, NAPX-G2-11


 

What is the missing number on this number line?

`80` `90` `95` `100`
 
 
 
 
Show Answers Only

`100`

Show Worked Solution

`text(Each mark is worth an extra 25.)`

`:.\ text(Missing number)` `= 75 + 25`
  `= 100`

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

Number, NAPX-p124169v01

In which one of these numbers does the numeral 4 represent 4 hundreds?

`4289` `241` `6427` `104`
 
 
 
 
Show Answers Only

`6427`

Show Worked Solution

`6427`

`text(In this number:)`

`6 -> text(thousands)`

`4-> text(hundreds)`

`2 -> text(tens)`

`7 -> text(ones)`

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

Number, NAPX-G2-10

In which one of these numbers does the numeral 3 represent 3 hundreds?

`1304` `213` `837` `3764`
 
 
 
 
Show Answers Only

`1304`

Show Worked Solution

`1304`

`text(In words, this number is:)`

`text(One thousand, three hundred and four.)`

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

Geometry, NAPX-G2-08

Which object is not a pyramid?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(This object is a triangular prism)`

`text(which is not a pyramid.)`

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

Algebra, NAPX-J2-37

A new hammock costs $335.
 

 
Keanu has saved a total of $128.

Which number sentence can be solved to find the amount of money Keanu still needs to buy the hammock?

 
`$335 + $128 =`
 
 
 
 `- $128 ` `=$335`
 
 
 `- $335 = $128`
 
`$128 +` 
 
`= $335`
Show Answers Only
`$128 +` 
 
`= $335`
Show Worked Solution

`text(Savings + money needed = total cost)`

`$128 +` 
 
`= $335`

Filed Under: Solving Problems - Add/Subtract Tagged With: NAPX-MultipleChoice

Measurement, NAPX-p124147v01

A company produces curtain rods in various lengths.

The most common lengths are 190 centimetres, 0.255 metres, 1850 millimetres, 1.75 metres and 95 centimetres.

Which curtain rod is the longest?

 
190 centimetres
 
0.255 metres
 
1850 millimetres
 
1.75 metres
 
95 centimetres
Show Answers Only

`text(190 centimetres)`

Show Worked Solution

`text(Converting all options to metres:)`

`=>\ text(0.255 m and 1.75 m already in metres.)`

`text(190 cm)` `=1.9\ text{m  (100 cm = 1 metre)`
`text(1850 mm)` `=1.85\ text{m  (1000 mm = 1 metre)}`
`text(95 cm)` `=0.95\ text(m)`

 

`:.\ text(Longest curtain rod is 190 cm)`

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

Measurement, NAPX-J2-36

A company produces wooden beams in various lengths.

The most common lengths are 730 millimetres, 120 centimetres, 1.6 metres, 0.755 metres and 1450 millimetres.

Which wooden beam is the longest?

 
730 millimetres
 
120 centimetres
 
1.6 metres
 
0.755 metres
 
1450 millimetres
Show Answers Only

`text(1.6 metres)`

Show Worked Solution

`text(Converting all options to metres:)`

`=>\ text(1.6 m and 0.755 m already in metres)`

`text(750 mm)`  `=0.750\ text{m  (1000 mm = 1 metre)}`
`text(120 cm)` `=1.2\ text{m  (100 cm = 1 metre)}`
`text(1450 mm)` `= 1.45\ text(m)`

 
`:.\ text(Longest wooden beam is 1.6 m)`

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

Algebra, NAPX-G2-07

Colleen needs to buy 18 pairs of socks for the players in her AFL team.

The socks are sold in packets of 4.

How many packets does Colleen need to buy?

`4` `5` `22` `72`
 
 
 
 
Show Answers Only

`5`

Show Worked Solution

`text(Number of packets needed)`

`= 18 ÷ 4`

`= 4\ text(remainder 2)`
 

`:.\ text(5 packets are needed.)`

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

Geometry, NAPX-G2-06

Leo is part of the way through making a cube using plasticine balls and sticks, as shown below.

How many more sticks does Leo need to finish the cube?

`3` `4` `5` `6` `8`
 
 
 
 
 
Show Answers Only

`5`

Show Worked Solution

`text(5 more sticks are needed.)`
 

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

Algebra, NAPX-p124052v01

The runs scored by Josh and Patrick in 4 games of cricket are recorded in the table below.
 

 
In which game did Patrick score 5 more runs than Josh?

`text(Game 1)` `text(Game 2)` `text(Game 3)` `text(Game 4)`
 
 
 
 
Show Answers Only

`text(Game 4)`

Show Worked Solution

`text{Consider each game (by trial and error),}`
 

`text{Game 4:  16 – 11 = 5 runs  (more by Patrick)}`

Filed Under: Solving Problems - Add/Subtract Tagged With: NAPX-MultipleChoice

Algebra, NAPX-G2-05

The runs scored by Virat and Vivian in 4 games of cricket are recorded in the table below.

In which game did Virat score 6 more runs than Vivian?

`text(Game 1)` `text(Game 2)` `text(Game 3)` `text(Game 4)`
 
 
 
 
Show Answers Only

`text(Game 4)`

Show Worked Solution

`text{Consider each Game (by trial and error),}`
  

`text(Game 4:  17 – 11 = 6 runs.)`

Filed Under: Solving Problems - Add/Subtract, TESTLET C Tagged With: NAPX-MultipleChoice

Measurement, NAPX-G2-04

Which clock shows a half past 7?
 

 
 
 
 
 
Show Answers Only

Show Worked Solution

`text(S) text(ince there are 60 minutes in 1 hour.)`

`=> 30\ text(minutes in half hour.)`
 

Filed Under: TESTLET C, Time Tagged With: NAPX-MultipleChoice

Number, NAPX-I2-p116663v02

Arnie competed in the World Championship for the most push-ups in one hour.

He completed two thousand and eighty six push-ups in one hour.
 

  
The number of push-ups can be written as:

`286` `2806` `2086` `20\ 086`
 
 
 
 
Show Answers Only

`2086`

Show Worked Solution

`text(Two thousand and eighty six contains:)`

`=>\ text(2 “thousands”)`

`=>\ text(0 “hundreds”)`

`=>\ text(8 “tens”)`

`=>\ text(6 “ones”)`

`:. 2086`

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

Algebra, NAPX-p124035v01

Sergio has 3 different brands of golf balls: Nike balls, Callaway balls and Wilson balls.

There are:

  • 5 more Nike balls than Callaway balls
  • 3 fewer Callaway balls than Wilson balls
  • 12 Wilson balls

How many golf balls, in total, are in Sergio's golf bag?

`17` `19` `20` `32` `35`
 
 
 
 
 
Show Answers Only

`35`

Show Worked Solution

`text{Wilson balls = 12 (given)}`

`=>\ text(Callaway balls) = 12 – 3 = 9`

`=>\ text(Nike balls) = 9 + 5 = 14`
 

`:.\ text(Total golf balls)` `= 12 + 9 + 14`
  `= 35`

Filed Under: Multi-Step Problems, TESTLET E Tagged With: NAPX-MultipleChoice

Algebra, NAPX-J2-33

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

There are:

  • 4 more white balls than pink
  • 9 fewer pink balls than red
  • 11 red balls

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

`19` `24` `25` `28` `32`
 
 
 
 
 
Show Answers Only

`19`

Show Worked Solution

`text{Red balls = 11 (given)}`

`=>\ text(Pink balls) =11 – 9 = 2`

`=>\ text(White balls) = 2 + 4 = 6`
 

`:.\ text(Total balls)` `= 11 + 2 + 6`
  `= 19`

Filed Under: Multi-Step Problems, Solving Problems - Add/Subtract Tagged With: NAPX-MultipleChoice

Measurement, NAPX-p124026v01

Clarence made these solid prisms out of identical cubes.

Which prism has the largest volume?
 

 
 
 
 
Show Answers Only

Show Worked Solution

`text{Volume of each prism:}`

`text(Option 1:  5 × 2 × 3 = 30 cubes)`

`text(Option 2:  7 × 1 × 4 = 28 cubes)`

`text(Option 3:  7 × 2 × 2 = 28 cubes)`

`text(Option 4: 3 × 3 × 3 = 27 cubes)`
 

`:.\ text(The prism with the largest volume is)`
 

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

Measurement, NAPX-J2-32

Ken made these solid prisms out of identical cubes.

Which prism has the largest volume?
 

 
 
 
 
Show Answers Only

Show Worked Solution

`text{Volume of each prism:}`

`text(Option 1:  5 × 2 × 3 = 30 cubes)`

`text(Option 2:  3 × 3 × 3 = 27 cubes)`

`text(Option 3:  7 × 2 × 2 = 28 cubes)`

`text(Option 4:  4 × 4 × 2 = 32 cubes)`
 

`:.\ text(The prism with the largest volume is)`
  

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

Algebra, NAPX-p124011v02

Seamus uses the number sentence  7 × 14 = 98  to solve a problem.

Which of the following could be the problem?

 
Seamus buys 14 nerf guns that cost $7 each. How much does he spend?
 
Seamus pays $14 for 98 nerf guns. How much does each one cost?
 
Seamus spends $14 on 98 nerf guns. How much does he spend?
 
Seamus buys 14 nerf guns for $7 each. How many nerf guns does he buy?
Show Answers Only

`text(Seamus buys 14 nerf guns that cost $7 each.)`

`text(How much does he spend?)`

Show Worked Solution

`text(14 nerf guns × $7 per gun = $98)`
 

`:.\ text(Seamus buys 14 nerf guns that cost $7 each.)`

`text(How much does he spend?)`

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

Algebra, NAPX-p124011v01

Lelei uses the number sentence  6 × 42 = 252  to solve a problem.

Which of the following could be the problem?

 
Lelei spends $42 on 6 shirts. How much does each shirt cost?
 
Lelei buys 6 shirts that cost $42 each. How many shirts does he buy?
 
Lelei buys 42 shirts that cost $6 each. How much does he spend?
 
Lelei spends $42 on 252 shirts. How many shirts does he buy?
Show Answers Only

`text(Lelei buys 42 shirts that cost $6 each.)`

`text(How much does he spend?)`

Show Worked Solution

`text(42 shirts × $6 per shirt = $252)`
 

`:.\ text(Lelei buys 42 shirts that cost $6 each.)`

`text(How much does he spend?)`

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

Algebra, NAPX-J2-30

Dimitry uses the number sentence  32 × 8 = 256  to solve a problem.

Which of the following could be the problem?

 
Dimitry buys 8 ties. How much does each tie cost?
 
Dimitry buys 8 ties that cost $32 each. How much does he spend?
 
Dimitry buys 32 ties that cost $8 each. How many ties does he buy?
 
Dimitry spends $32 on 256 ties. How much does he spend?
Show Answers Only

`text(Dimitry buys 8 ties that cost $32 each.)`

`text(How much does he spend?)`

Show Worked Solution

`text(8 ties × $32 per tie = $256)`
 

`:.\ text(Dimitry buys 8 ties that cost $32 each.)`

`text(How much does he spend?)`

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

Statistics, NAPX-p124001v01

Charlie counts the number of moths he has collected.

  • 4 Bogon moths
  • 12 Atlas moths
  • 8 Gypsy moths

In each picture graph below,  = 4 moths

Select the picture graph that shows the number of moths Charlie counts.

 
 
   
 
 
Show Answers Only

Show Worked Solution
  `text(= 4 moths)`
    `text(= 8 moths)`
     `text(= 12 moths)`

 

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

Statistics, NAPX-J2-29

Patrick counts the number of moths he has collected.

  • 9 Bogon moths
  • 3 Atlas moths
  • 6 Gypsy moths

In each picture graph below,  = 3 moths

Select the picture graph that shows the number of moths Patrick counts.

 
 
   
 
 
Show Answers Only

Show Worked Solution
  `text(= 3 moths)`
    `text(= 6 moths)`
     `text(= 9 moths)`

 

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

Number, NAPX-G2-03

An international boat show displayed 115 cruising boats, 60 catamarans and 20 maxi-yachts.

What is the total number of boats displayed at the show?

`123` `170` `185` `195`
 
 
 
 
Show Answers Only

`195`

Show Worked Solution
`115 + 60 + 20` `= 115 + 80`
  `= 195`

Filed Under: Solving Problems - Add/Subtract, TESTLET A Tagged With: NAPX-MultipleChoice

Statistics, NAPX-G2-02

Seinfeld has 10 cousins, four are girls and six are boys.

Which of these correctly shows Seinfeld's tally of girl and boy cousins?

 
 
 
 
Show Answers Only

Show Worked Solution

Filed Under: Data and Interpretation, TESTLET C Tagged With: NAPX-MultipleChoice

Algebra, NAPX-G2-01

Cameron writes a number pattern where each number is three more than the previous number.
 

`4, 7, 10, 13,`  
 

 
What number should Cameron write next?

`14` `16` `17` `18`
 
 
 
 
Show Answers Only

`16`

Show Worked Solution
 
`= 13 + 3`
  `= 16`

Filed Under: Patterns Tagged With: NAPX-MultipleChoice

Number, NAPX-p123548v02

Henry has 67 match sticks.

He uses 9 match sticks to make three small triangles.
 

 
What is the largest number of small triangles like this that Henry can make with his 67 match sticks?

`21` `22` `23` `24`
 
 
 
 
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`22`

Show Worked Solution

`text(3 match sticks are used for 1 triangle.)`

`text(Number of triangles)` `= 67 ÷ 3`
  `= 22\ text(remainder 1)`

 
`:.\ text(22 triangles.)`

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

Algebra, NAPX-p123548v01

Klinger has 77 match sticks.

He uses 6 match sticks to make two small triangles.
 

 
What is the largest number of small triangles like this that Klinger can make with his 77 match sticks?

`24` `25` `26` `27`
 
 
 
 
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`25`

Show Worked Solution

`text(3 match sticks are used for 1 triangle.)`

`text(Number of triangles)` `= 77 ÷ 3`
  `= 25\ text(remainder 2)`

 
`:.\ text(25 triangles.)`

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

Algebra, NAPX-J2-28

Chaucer has 83 match sticks.

He uses 6 match sticks to make two small triangles.
 

 
What is the largest number of small triangles like this that Chaucer can make with his 83 match sticks?

`27` `28` `29` `30`
 
 
 
 
Show Answers Only

`27`

Show Worked Solution

`text(3 match sticks are used for 1 triangle.)`

`text(Number of triangles)` `= 83 ÷ 3`
  `= 27\ text(remainder 2)`

 
`:.\ text(27 triangles.)`

Filed Under: Patterns Tagged With: NAPX-MultipleChoice

Measurement, NAPX-p123537v01

A bottle of milk can fill 5 glasses exactly.
 

 
Which of the following holds the most milk?

              
 
 
   
            
 
 
Show Answers Only

Show Worked Solution

`text(Converting each option to the number of glasses.)`

`text(Option 1:  1 × 5 + 8 = 13 glasses)`

`text(Option 2:  2 × 5 + 2 = 12 glasses)`

`text(Option 3:  12 glasses)`

`text(Option 4:  1 × 5 + 3 = 8 glasses)`
 

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

Measurement, NAPX-J2-27

A bottle of milk can fill 5 glasses exactly.
 

 
Which of the following holds the most milk?

              
 
 
            
 
 
Show Answers Only

Show Worked Solution

`text(Converting each option to the number of glasses.)`

`text(Option 1:  3 × 5 = 15 glasses)`

`text(Option 2:  1 × 5 + 8 = 13 glasses)`

`text(Option 3:  2 × 5 + 1 = 11 glasses)`

`text(Option 4:  2 × 5 + 4 = 14 glasses)`
 

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

Number, NAPX-p123495v02

A toffee recipe contains `1/4` cup of sugar.

Which of the following represents the same amount of sugar?

`1/3\ text(cup)` `2/7\ text(cup)` `5/12\ text(cup)` `4/16\ text(cup)`
 
 
 
 
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`4/16\ text(cup)`

Show Worked Solution
`1/4` `= (1 xx 4)/(4 xx 4)`
  `= 4/16`

Filed Under: Fractions, TESTLET F Tagged With: NAPX-MultipleChoice

Number, NAPX-p123495v01

A cupcake recipe contains  `3/5`  cup of flour.

Which of the following represents the same amount of flour?

`5/7\ text(cup)` `4/6\ text(cup)` `6/10\ text(cup)` `7/9\ text(cup)`
 
 
 
 
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`6/10\ text(cup)`

Show Worked Solution
`3/5` `= (3 xx 2)/(5 xx 2)`
  `= 6/10`

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

Number, NAPX-J2-26

A cupcake recipe contains   `3/4`  cup of sugar.

Which of the following represents the same amount of sugar?

`3/5\ text(cup)` `2/3\ text(cup)` `7/10\ text(cup)` `9/12\ text(cup)`
 
 
 
 
Show Answers Only

`9/12\ text(cup)`

Show Worked Solution
`3/4` `= (3 xx 3)/(4 xx 3)`
  `= 9/12`

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

Number, NAPX-p123318v02

Henry is weighing baby chickens of different ages. 

 

A two-week old chick weighs less than a four-week old chick but more than a one week old chick.

Which of these could be the weight of a two-week old chick?

0.6 kg 0.24 kg 0.44 kg 0.9 kg
 
 
 
 
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`text(0.44 kg)`

Show Worked Solution

`text(0.44 kg is greater than 0.27 kg and less)`

`text(than 0.5 kg.)`

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

Number, NAPX-p123318v01

Stu is weighing different types of balls used in his favourite sports.
 

 
 

Stu knows that a cricket ball weighs more than a baseball but less than a soccer ball.

Which of these could be the weight of a cricket ball?

0.13 kg 0.36 kg 0.6 kg 0.8 kg
 
 
 
 
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`text(0.36 kg)`

Show Worked Solution

`text(0.36 kg is greater than 0.15 kg and less)`

`text(than 0.4 kg)`

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

Number, NAPX-J2-25

Oscar, Khan and Paul are weighing their grapes.
 

 
Khan's grapes weigh more than Paul's, but less than Oscar's grapes.

Which of these could be the weight of Khan's grapes?

0.9 kg 0.17 kg 0.4 kg 0.22 kg
 
 
 
 
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`text(0.4 kg)`

Show Worked Solution

`text(0.4 kg)`

`text(S)text(ince)\ \ 0.25 < 0.4 < 0.6`

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

Geometry, NAPX-p123300v01

Albert followed the instructions below to draw a shape:

  • Draw a shape with 6 equal sides.
  • Use one of the sides to draw another shape with 4 sides.
  • Draw a line of symmetry through the completed drawing.

Which of these did he draw?

 
 
 
 
Show Answers Only

Show Worked Solution

Filed Under: TESTLET E, Transformations and Symmetry Tagged With: NAPX-MultipleChoice

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