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Algebra, NAPX-L4-CA12 v1

A stand up paddle board 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 stand up paddle board.

 
number of hours multiplied by $25
 
$20 for every hour plus an extra $5
 
$30 for every hour less $5
 
$15 for every hour plus an extra $10
Show Answers Only

`text($15 for every hour plus an extra $10)`

Show Worked Solution

`text($15 for every hour plus an extra $10)`

`text(Test):`

`1\ text(hour) = 1 xx 15 + 10 = $25`  ✔

`4\ text(hours) = 4 xx 15 + 10 = $70`  ✔

Filed Under: Patterns and Coordinate Geometry Tagged With: NAPX-MultipleChoice

Measurement, NAPX-L4-CA11 v2, NAPX-L3-CA17 v2

This is part of a timetable for the ferry from Mosman to Taronga Zoo.
 

 
Anastasia is catching a ferry from Cremorne to Taronga Zoo.

She catches the first ferry that leaves Cremorne after 1:30 pm.

At what time will Anastasia arrive at Taronga Zoo?

1:47 pm 2:19 pm 2:27 pm 3:19 pm 4:19 pm
 
 
 
 
 
Show Answers Only

`text(2:19 pm)`

Show Worked Solution

`text{Anastacia catches the 13:58 (1:58 pm) from Cremorne.}`

`:.\ text(Arrives at Taronga Zoo at 2:19 pm).`

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

Measurement, NAPX-L4-CA11 v1, NAPX-L3-CA17 v1

This is part of a timetable for the ferry from Mosman to Taronga Zoo.
 

 
Precise is catching a ferry from Mosman to Taronga Zoo.

She catches the first ferry that leaves Mosman after 2 pm.

At what time will Precise arrive at Taronga Zoo?

1:19 pm 2:07 pm 2:19 pm 2:47 pm 3:19 pm
 
 
 
 
 
Show Answers Only

`text(3:19 pm)`

Show Worked Solution

`text{Precise catches the 14:27 (2:27 pm) from Mosman.}`

`:.\ text(She arrives at Taronga Zoo at 3:19 pm).`

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

Number, NAPX-L4-CA10 v2, NAPX-L3-CA10 v2

In Teddy Bear's Gap, there are 21,106 people.

Each day, in winter, the average person uses 167 litres of water.

Which of these gives the best estimate for the total number of litres of water used in Teddy Bear's Gap each day?

`21\ 000 xx 100` `21\ 000 xx 200` `21\ 000 ÷ 100` `21\ 000 ÷ 200`
 
 
 
 
Show Answers Only

`21\ 000 xx 200`

Show Worked Solution
`text(Actual litres)` `= 21\ 106 xx 167`
`text(Best estimate)` `= 21\ 000 xx 200`

 
`text{(S}text{ince 167 is closer to 200 than 100)}.`

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

Number, NAPX-L4-CA10 v1, NAPX-L3-CA10 v1

In Bathurst, there are 43 428 people.

Each day, in winter, the average person uses 181 litres of water.

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

`43\ 000 ÷ 100` `43\ 000 ÷ 200` `43\ 000 xx 100` `43\ 000 xx 200`
 
 
 
 
Show Answers Only

`43\ 000 xx 200`

Show Worked Solution
`text(Actual litres)` `= 43\ 428 xx 181`
`text(Best estimate)` `= 43\ 000 xx 200`

`text{(S}text{ince 181 is closer to 200 than 100)}.`

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

Number, NAPX-L4-CA09 v2

Elvis is reading the temperature outside his ski lodge.

What is the value of the point marked  `text(P)`  on this temperature scale?
 
 


 

`-12.2^@text(C)` `-12.4^@text(C)` `-13.3^@text(C)` `-13.6^@text(C)`
 
 
 
 
Show Answers Only

`-12.4^@text(C)`

Show Worked Solution
`text(Each increment)` `= 0.2^@text(C)`
`:.\ text(Value of  P)` `= -13 + (3 xx 0.2)`
  `= -12.4^@text(C)`

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

Number, NAPX-L4-CA09 v1

Boston is reading the outside temperature during winter in his hometown.

What is the value of the point marked  `text(P)`  on this temperature scale?
 
 


 

`-3.4^@text(C)` `-3.8^@text(C)` `-2.1^@text(C)` `-2.2^@text(C)`
 
 
 
 
Show Answers Only

`-2.2^@text(C)`

Show Worked Solution
`text(Each increment)` `= 0.2^@text(C)`
`:.\ text(Value of  P)` `= -3 + (4 xx 0.2)`
  `= -2.2^@text(C)`

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

Statistics and Probability, NAPX-L4-CA08 v2, NAPX-L3-CA09 v2

Enigma uses this net to make a dice.
 

 
He rolls the dice once.

What is the chance that Enigma will roll a 4? 

`1/2` `1/3` `1/4` `1/6`
 
 
 
 
Show Answers Only

`1/3`

Show Worked Solution
`P(4)` `= text(number of 4’s)/text(total possibilities)`
  `= 2/6`
  `= 1/3`

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

Statistics and Probability, NAPX-L4-CA08 v1, NAPX-L3-CA09 v1

Cherry uses this net to make a dice.

She rolls the dice once.

What is the chance that Cherry will roll a 5? 

`1` `1/2` `1/3` `1/6`
 
 
 
 
Show Answers Only

`1/2`

Show Worked Solution
`P(5)` `= text(number of 5’s)/text(total possibilities)`
  `= 3/6`
  `= 1/2`

Filed Under: Probability, TESTLET A2 Tagged With: NAPX-MultipleChoice

Number, NAPX-L4-07 v2, NAPX-L3-CA07 v2

This table shows the fractions of the Australian students in some University courses.
 

 
Which of these courses has the least number of students? 

 
Nursing
 
Medicine
 
Accounting
 
Science
Show Answers Only

`text(Accounting)`

Show Worked Solution

`text(Smallest fraction) = 1/40`

`:.\ text(Least students are studying Accounting)`

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

Number, NAPX-L4-CA07 v1, NAPX-L3-CA07 v1

This table shows the fractions of the Australian students in some University courses.
 

 
Which of these courses has the highest number of students? 

 
Engineering
 
Teaching
 
Nursing
 
Business
Show Answers Only

`text(Teaching)`

Show Worked Solution

`text(Largest fraction) = 1/9`

`:.\ text(Most students are studying Teaching)`

Filed Under: Uncategorized Tagged With: NAPX-MultipleChoice

Geometry, NAPX-L4-CA06 v2

Ruby draws a design by reflecting this shape across a mirror line.
 


 

Which design shows the correct reflection?

 
 
 
 
Show Answers Only

Show Worked Solution

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

Geometry, NAPX-L4-CA06 v1

Veronica draws a design by reflecting this shape across a mirror line.
 


  

Which design shows the correct reflection?

 
 
 
 
Show Answers Only

Show Worked Solution

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

Number, NAPX-L4-CA05 v2

At 6 a.m., the temperature is 3°C.

At 2 p.m., the temperature is 27°C.

Which calculation below can be used to work out how many degrees warmer it is at 2 p.m. than at 6 a.m.? 

`3 + 27` `3 - 27` `27 ÷ 3` `27 - 3`
 
 
 
 
Show Answers Only

`27 – 3`

Show Worked Solution

`text(Degrees warmer)`

`= 27 – 3`

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

Number, NAPX-L4-CA05 v1

At midday, the temperature is 30°C.

At midnight, the temperature is 6°C.

Which calculation below can be used to work out how many degrees cooler it is at midnight than at midday? 

`30 ÷ 6` `6 - 30` `30 + 6` `30 - 6`
 
 
 
 
Show Answers Only

`30 – 6`

Show Worked Solution

`text(Degrees cooler)`

`= 30 – 6`

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

Number, NAPX-L4-CA04 v2

In one term, `7/10` of students in a school had at least 1 day off sick.

What is `7/10` as percentage?

`0.7text(%)` `7text(%)` `70text(%)` `700text(%)`
 
 
 
 
Show Answers Only

`70text(%)`

Show Worked Solution

`7/10 = 70/100 = 70text(%)`

Filed Under: Percentages Tagged With: NAPX-MultipleChoice

Number, NAPX-L4-CA04 v1

In one year, `3/10` of the puppies that a dog breeder sells are ridgebacks.

What is `3/10` as percentage?

`0.3text(%)` `3text(%)` `30text(%)` `300text(%)`
 
 
 
 
Show Answers Only

`30text(%)`

Show Worked Solution

`3/10 = 30/100 = 30text(%)`

Filed Under: Percentages Tagged With: NAPX-MultipleChoice

Number, NAPX-L4-CA03 v2

Windy buys an apple for 65 cents and a banana for 90 cents.

She pays with a $2 coin.

How much change should Windy get?

`45\ text(cents)` `55\ text(cents)` `$1.55` `$3.55`
 
 
 
 
Show Answers Only

`45\ text(cents)`

Show Worked Solution
`65 text(c) + 90 text(c)` `= $1.55`
`$2 – $1.55` `= 0.45`
  `= 45\ text(cents)`

Filed Under: Financial Maths Tagged With: NAPX-MultipleChoice

Number, NAPX-L4-CA03 v1

Kerry-Anne buys an apple for 55 cents and a banana for 80 cents.

She pays with a $2 coin.

How much change should Kerry-Anne get?

`55\ text(cents)` `65\ text(cents)` `$1.35` `$3.35`
 
 
 
 
Show Answers Only

`65\ text(cents)`

Show Worked Solution
`55 text(c) + 80 text(c)` `= $1.35`
`$2 – $1.35` `= 0.65`
  `= 65\ text(cents)`

Filed Under: Financial Maths Tagged With: NAPX-MultipleChoice

Algebra, NAPX-K2-08 v2

Hermes is using matchsticks to make a pattern of squares.
 

  
How many matchsticks will Hermes need to make Figure 5?

  5  23  27  32
 
 
 
 
Show Answers Only

`27`

Show Worked Solution

`text(Figure 1 = 7 matchsticks)`

`text(Figure 2 = 12 matchsticks)`

`+>\ text(Each figure has 5 extra matchsticks.)`

`text(Figure 4 = 17 + 5 = 18)`

`text(Figure 5 = 22 + 5= 27)`

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

Algebra, NAPX-K2-08 v1

Krusty is using matchsticks to make a pattern of rectangles.
 

  
How many matchsticks will Krusty need to make rectangle 5?

  5  18  22  26
 
 
 
 
Show Answers Only

`22`

Show Worked Solution

`text(Each rectangle has 4 extra matchsticks)`

`text(Rectangle 4 = 14 + 4 = 18)`

`text(Rectangle 5 = 18 + 4 = 22)`

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

Statistics, NAPX-K2-06 v1

The table shows the time (in seconds) some children can run 100 meters.
 

 
Which column graph correctly shows the data in the table?
 

 
 
   
 
 

Show Answers Only

Show Worked Solution

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

Measurement, NAPX-K2-02 v1

Which of these holds about the same amount of water as a bucket?

 
a dog bowl
 
a swimming pool
 
a shoe box
 
a coffee mug
Show Answers Only

`text(a shoe box)`

Show Worked Solution

`text(A shoe box would hold about the same)`

`text(volume as a bucket.)`

Filed Under: Length, Area and Capacity, TESTLET C Tagged With: NAPX-MultipleChoice

Number, NAPX-K2-01 v3

Which of these coins has the greatest value?

     
 
 
 
 
Show Answers Only

Show Worked Solution

`text(The $2 coin has the greatest value.)`

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

Number, NAPX-K2-01 v2

Which of these coins has the greatest value?

            
 
 
 
 
Show Answers Only

Show Worked Solution

`text(The $1 coin has the greatest value.)`

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

Number, NAPX-K2-01 v1

Which of these coins has the greatest value?

      
    
     
 
 
 
Show Answers Only

Show Worked Solution

`text(The $2 coin has the greatest value.)`

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

Geometry, NAPX-E1-21

Which of these letters has one line of symmetry?

 
 
 
 
Show Answers Only

Show Worked Solution

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

Probability, NAPX-F1-13

Which of these is more likely to have the spinner land on grey?

 
 
 
 
Show Answers Only

Show Worked Solution

`text(The spinner with 5 sections shaded grey is the)`

`text(most likely.)`
 

Filed Under: Probability Tagged With: NAPX-MultipleChoice

Probability, NAPX-F2-07

The weather report says there is 25% chance of thunder storms tomorrow.

Which of these describes the chance of thunder storms tomorrow?

`text(impossible)` `text(unlikely)` `text(likely)` `text(certain)`
 
 
 
 
Show Answers Only

`text(unlikely)`

Show Worked Solution

`text(Anything below 50% chance is less likely than)`

`text(not of happening. Anything that is impossible of)`

`text(happening must be 0% chance.)`

`:.\ text(25% chance is “unlikely”.)`

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

Probability, NAPX-D1-18

Ricky has three boxes of balls.
 

 
He picks one ball out of each box.

Which of these could be the balls he chooses?
 

 
 
 
 
Show Answers Only

Show Worked Solution

Filed Under: Probability Tagged With: NAPX-MultipleChoice

Measurement, NAPX-H1-17

Stella's birthday is on the 30th of March.

Blanche's birthday is four days after Stella's.
 

 
Which day of the week is Blanche's birthday in 2014?

`text(Saturday)` `text(Sunday)` `text(Monday)` `text(Tuesday)`
 
 
 
 
Show Answers Only

`text(Monday)`

Show Worked Solution

`text(30th March ⇒ Thursday)`

`text(One day after ⇒ Friday)`

`text(Two days after ⇒ Saturday)`

`vdots`

`text(Four days after ⇒ Monday)`

Filed Under: Time Tagged With: NAPX-MultipleChoice

Measurement, NAPX-E1-14

Lin's alarm clock is upside down.

When he looked at it, he saw this.
 

 

 
At what time did he look at his alarm clock?

`9:30` `10:30` `1:04` `4:00`
 
 
 
 
Show Answers Only

`9:30`

Show Worked Solution

`9:30`

Filed Under: Time Tagged With: NAPX-MultipleChoice

Measurement, NAPX-D1-08

The shapes below are made up identical squares.

Which shape covers the largest area?

 
 
 
 
Show Answers Only

Show Worked Solution

`text{The first image has the highest number of squares (10)}`

`text{and therefore the largest area.}`
 

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

Measurement, NAPX-I1-20

Benson poured one can of drink into each of these containers.

When full, which container will hold the most water?
 

 
 
 
 
Show Answers Only

Show Worked Solution

`text(The third option could fit around 3 cans of drink,)`

`text(which is the most.)`
 

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

Measurement, NAPX-G1-14

Derek used pencils to measure his desk.
 

 
What is the total length of all four sides?

 
`text(9 pencils)`
 
`text(11 pencils)`
 
`text(13 pencils)`
 
`text(15 pencils)`
 
`text(18 pencils)`
Show Answers Only

`text(18 pencils)`

Show Worked Solution

`text(Length of all 4 sides)`

`=6+3+6+3`

`=18\ text(pencils)`

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

Measurement, NAPX-H1-27

The scales are balanced.

 
Which one of these weighs the least?

 
 
 
Show Answers Only

Show Worked Solution

`text(4 cubes weigh the same as 1 triangle.)`

`text(It only takes 3 balls to weigh the same.)`

`=>\ text(A cube must be the lightest.)`

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

Geometry, NAPX-B1-19

Brandon is making a pattern by turning this shape a quarter turn clockwise in each box.
 

 
What will the shape in the last box look like?
 

 
 
 
 
Show Answers Only

Show Worked Solution

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

Geometry, NAPX-C1-08

 
Peter moves the marker left 3 squares and then up 2 squares.

What cell does Peter move the marker to?

`text(B1)` `text(C6)` `text(H5)` `text(B5)`
 
 
 
 
Show Answers Only

`text(B5)`

Show Worked Solution

`text(B5)`

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

Geometry, NAPX-G1-31

Perry has two blocks.

He joins them to form the solid shape below.

How many edges does the T-shaped object have?

`14` `15` `16` `24`
 
 
 
 
Show Answers Only

`24`

Show Worked Solution

`text(8 edges on the top face.)`

`text(8 edges on the bottom face.)`

`text(8 edges joining the top and bottom faces.)`

`=> 24\ text(faces in total)`

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

Geometry, NAPX-I1-22

Henry drew a map.

He plans on leaving his house, walking to the bike shop, and then riding to the waterfall.
 

 
In which cell is the waterfall    located?

`text(B4)` `text(C1)` `text(A2)` `text(D2)`
 
 
 
 
Show Answers Only

`text(D2)`

Show Worked Solution

`text{D2 (see the row and column labels below)}`

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

Algebra, NAPX-F1-10

This repeating pattern is made by turning a square tile.
 

 
Which of these comes next in this pattern?
 

 
 
 
 
Show Answers Only

Show Worked Solution

`text(The square is turned anti-clockwise each time.)`

`:.\ text(The next in the pattern is:)`
 

Filed Under: Patterns Tagged With: NAPX-MultipleChoice

Algebra, NAPX-D1-11

Melinda placed some shells in rows of 8.

She then put the same number of shells into bags of 6 and had some left over.

How many shells were left over?

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

`2`

Show Worked Solution

`text(Total number of shells)`

`=8 xx 4`

`= 32`
 

`32 ÷ 6 = 5\ text(remainder 2)`

`:. 2\ text(shells were left over.)`

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

Algebra, NAPX-F1-20

Which of these adds up to more than $6?

 
`$4.30 + $1.65`
 
`$2.35 + $3.55`
 
`$3.45 + $2.55`
 
`$3.30 + $2.75`
Show Answers Only

`$3.30 + $2.75`

Show Worked Solution
`$4.30 + $1.65` `= $5.95`
`$2.35 + $3.55` `= $5.90`
`$3.45 + $2.55` `= $6`
`$3.30 + $2.75` `= $6.05`

 
`:. $3.30 + $2.75`

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

Algebra, NAPX-F1-17

Bailey put all her marbles onto a dish.
 

 
She then gave half her marbles to her sister.

Which of these shows how many marble were left in the dish?
 

 
 
 
 
Show Answers Only

Show Worked Solution

`=>\ text(18 marbles to begin with.)`

`=>\ text(9 marbles will be left.)`
 

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

Algebra, NAPX-E1-15

Grace used sticks to create a pattern.
 

 

 
She used 4 sticks in her first shape, 7 sticks in her second shape and 10 sticks in her third shape.

How many sticks are needed for the next shape in Grace's pattern?

`9` `10` `11` `13`
 
 
 
 
Show Answers Only

`13`

Show Worked Solution

`text(Each shape adds an extra 3 sticks.)`

`=>\ text(Sticks in the next shape)`

`=10+3`

`=13`

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

Algebra, NAPX-C1-14

The lights below make a pattern.
  

 
Which of these shows the order of the next four lights?

 
 
 
 
Show Answers Only

Show Worked Solution

Filed Under: Patterns Tagged With: NAPX-MultipleChoice

Number, NAPX-p124682v01

Which of these has the same value as  8.36?

 
`800 + 36/100`
 
`8 + 3/10 + 6/100`
 
`8 + 3 + 6`
 
`8 + 6/10 + 3/100`
Show Answers Only

`8 + 3/10 + 6/100`

Show Worked Solution

`8.36 = 8 + 3/10 + 6/100`

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

Number, NAPX-G2-32

Which of these has the same value as  6.37?

 
`6 + 3/100 + 7/10`
 
`600 + 30 + 7`
 
`6 + 3/10 + 7/100`
 
`600 + 37/100`
Show Answers Only

`6 + 3/10 + 7/100`

Show Worked Solution

`6.37 = 6 + 3/10 + 7/100`

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

Statistics, NAPX-G2-30

Anna is captain of the chess club and keeps a record of the number of students in the club at the end of each week.
 

 
If no students have left the club, how many joined in Week 3?

3 8 9 11 19
 
 
 
 
 
Show Answers Only

`8`

Show Worked Solution

`text(Students in club:)`

`text(At the end of week 2) = 11`

`text(At the end of week 3) = 19`

`:.\ text(Students who joined in week 3)`

`= 19 – 11`

`= 8`

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

Measurement, NAPX-G2-28

What is the temperature reading in this thermometer?
 


 

 
`7^@text(C)`
 
`14^@text(C)`
 
`16^@text(C)`
 
`17^@text(C)`
Show Answers Only

`14^@text(C)`

Show Worked Solution

`text(Each section measures 10°C and each smaller mark is)`

`text(worth an extra 2°C.)`
 

`:.\ text(Temperature reading)`

`= 7 xx 2°`

`= 14°\ text(C)`

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

Statistics, NAPX-p115482v01

A spinner can land in any of 4 sections, labelled 1 to 4.

The 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 1 should be about 23% (slightly less than one quarter).}`

`text{Landing on 4 should be about 52% (just over half).}`

`text{Landing on 2 and 3 (combined) should be about 25%.}`
 

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

Number, NAPX-p124651v01

Sefa shades in part of a square.

What fraction is closest to the area of the square that Sefa shaded?

`5/9` `3/5` `4/10` `5/8`
 
 
 
 
Show Answers Only

`4/10`

Show Worked Solution

`text(Slightly less than one half is shaded.)`

`:. 4/10\  text(is the closest fraction.)`

`text{(it is the only fraction less than}\ 1/2 text{)}`

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

Number, NAPX-G2-26

Fetu shades in part of a circle.
 

 
What fraction is closest to the area of the circle that Fetu shaded?

`3/7` `6/10` `2/5` `1/2`
 
 
 
 
Show Answers Only

`6/10`

Show Worked Solution

`text(Slightly more than one half is shaded.)`

`:. 6/10\  text(is the closest fraction.)`

`text{(it is the only fraction greater than}\ 1/2 text{)}`

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

Geometry, NAPX-G2-24

 
Which angle is the smallest?

`text(A)` `text(B)` `text(C)` `text(D)`
 
 
 
 
Show Answers Only

`text(A)`

Show Worked Solution

`text(By inspection:)`

`text(Angle D – greater than 90°)`

`text(Angle B – greater than 90°)`

`text(Angle C – slightly less than 90°)`

`text(Angle A – approximately 60°)`

 

`:. A\ text(Angle A is the smallest angle.)`

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

Geometry, NAPX-G2-22

Charity has the picture of a panda on her phone.
 

 
She makes the picture half as wide and twice as high.

How will the picture look after she does that?

 
 
 
 
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Show Worked Solution

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

Measurement, NAPX-p124624v02

Milly bought three quarters of a litre of oil for her car.

How many millilitres of oil did Milly buy?

 
25
 
75
 
250
 
750
 
4000
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`750\ text(mL)`

Show Worked Solution

`1\ text(Litre) = 1000\ text(millilitres)`

`:.\ 3/4\ text(Litre)` `= 1000 xx 3/4`
  `= 750\ text(mL)`

Filed Under: TESTLET A, TESTLET A2, Units of Measurement Tagged With: NAPX-MultipleChoice

Measurement, NAPX-p124624v01

Angela bought one quarter of a kilogram of cherries.

How many grams did Angela buy?

 
25
 
125
 
250
 
750
 
4000
Show Answers Only

`250\ text(grams)`

Show Worked Solution

`1\ text(kilogram) = 1000\ text(grams)`

`:.\ 1/4\ text(kilogram)` `= 1000 ÷ 4`
  `= 250\ text(grams)`

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

Measurement, NAPX-G2-21

Avril bought half a kilogram of ham at the butchers.

How many grams did Avril buy?

 
`50`
 
`250`
 
`500`
 
`2000`
 
`5000`
Show Answers Only

`500\ text(grams)`

Show Worked Solution

`1\ text(kilogram) = 1000\ text(grams)`

`:.\ 1/2\ text(kilogram)` `= 1000 ÷ 2`
  `= 500\ text(grams)`

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

Algebra, NAPX-p124616v01

Ariel uses sticks to make a pattern.

She starts with 4 sticks for Design 1.
 

 
How many sticks does Ariel need for Design 5?

`40` `60` `36` `56`
 
 
 
 
Show Answers Only

`60`

Show Worked Solution

`text(One strategy:)`

`text(Each new row has one extra square than)`

`text(the row below.)` 

`=>\ text(Sticks in design 4)` `= 24 + 4 xx 4`
  `= 40`

 

`:.\ text(Sticks in design 5)` `= 40 + 5 xx 4`
  `= 60`

Filed Under: Patterns and Coordinate Geometry, TESTLET A2 Tagged With: NAPX-MultipleChoice

Algebra, NAPX-G2-20

Tyler uses sticks to make a pattern.

She starts with 2 sticks for Design 1.

   

How many sticks does Tyler need for Design 6?

`28` `30` `40` `42`
 
 
 
 
Show Answers Only

`42`

Show Worked Solution

`text(One strategy:)`

`text(Each new row has one extra “X” than)`

`text(the row above.)` 

`=>\ text(Sticks in design 5)` `= 20 + 5 xx 2`
  `= 30`

 

`:.\ text(Sticks in design 6)` `= 30 + 6 xx 2`
  `= 42`

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

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