Which arrow points to where 75 would be on this number line?
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Algebra, NAP-E3-NC14
Adam is making a pattern with black and white triangular tiles as shown below.
At each stage, tiles are added to edges that don't already have tiles on them.
What is the total number of tiles needed for Pattern 5?
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Number and Algebra, NAP-E2-29
Adam is making a pattern with black and white triangular tiles as shown below.
At each stage, tiles are added to edges that don't already have a tiles on them.
What is the total number of tiles needed for Pattern 5?
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Number and Algebra, NAP-G2-32
Which of these has the same value as 7.65?
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Statistics, NAP-G2-30
Rory 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?
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Number and Algebra, NAP-G2-29 SA
Marcel has the six cards pictured below
Marcel can arrange the six cards into a number sentence that make a total, as shown below.
What is the largest total Marcel can make using all the cards in a number sentence?
Measurement, NAP-E2-20 SA
Mandy is cutting out luggage tags from a plastic sheet.
Each luggage tag is identical and is pictured below.
Mandy throws away all pieces of plastic that are not complete tags.
What is the greatest number of luggage tags that Mandy can cut from the plastic sheet?
Show Worked Solution
Statistics, NAP-E2-32 SA
Matt and Libby planted 50 trees each over 3 weeks.
The bar chart below shows the amount of trees each planted in each week.
How many more trees did Libby plant than Matt in Week 2.
Geometry, NAP-E2-30
Which of the shapes below has exactly two lines of symmetry?
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Geometry, NAP-H2-38
Eleanor reflects one of the shapes below across a dotted line.
The shape and its reflection together make a rhombus.
Which shape does Eleanor reflect?
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Geometry, NAP-H2-32 SA
A building's floor plan is pictured below
Vlad enters the building through the western door and leaves through the northern door.
What is the smallest number of rooms he must walk through?
Show Worked Solution
Number and Algebra, NAP-H2-31
Guy has a work truck that is 6 meters long.
His son Sam has a toy truck that is 5 cm long.
How many times as long as Sam's toy truck is Guy's truck?
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Measurement, NAP-H2-30
Which one of these shapes has the largest perimeter?
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Geometry, NAP-H2-29
Christopher is walking in south-east direction and makes a quarter turn to his right.
Which direction is he walking after he turns?
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Number and Algebra, NAP-H2-28 SA
What number is the arrow pointing to on this number line?
Number and Algebra, NAP-G2-27 SA
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Number and Algebra, NAP-G2-26
Leo shades in part of a circle.
What fraction is closest to the area of the circle that Leo shaded?
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Probability, NAP-G2-25
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?
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Measurement, NAP-I2-33
Kevin wanted to measure the width of a roll of toilet paper by measuring it against a section of his measuring tape.
What is the width of the toilet paper roll?
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Number and Algebra, NAP-I2-32
Matt had a bag of 44 lollipops.
He gave an equal number to each of the other 7 players in his water polo team.
Matt gave each team mate as many lollipops as possible and kept the rest for himself.
How many lollipops did Matt get?
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Number and Algebra, NAP-I2-28
Steve wants to find the number that will make this number sentence correct.
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Which of these could Steve use to find the missing number?
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Number and Algebra, NAP-D2-34
The Big Merino in Goulburn is 15 m tall.
Justin owns a real merino sheep that is 75 cm tall.
How many times taller is the Big Merino than Justin's merino?
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Number and Algebra, NAP-D2-28
In 5 years time, Megan will be 16.
Brian will then be half Megan's age.
How old is Brian now?
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Geometry, NAP-D2-27
Which angle is closest to 150° in size?
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Probability, NAP-D2-26
In a high school, all the boys were asked their favourite sport and the top five results were put in the table below.
Which of these statements is true of a boy who goes to the high school?
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His favourite sport is less likely to be soccer than AFL. |
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His favourite sport is certain to be rugby league. |
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His favourite sport is more likely to be rugby union than swimming. |
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Number and Algebra, NAP-D2-25
A tadpole is measured to be 9 mm long.
A few weeks later, the tadpole turns into a frog that is about 8 times longer than its tadpole length.
The difference between the length of the frog and its length as a tadpole is about
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Number and Algebra, NAP-D2-22
Ged has a screwdriver set which is pictured below.
The length of the screwdrivers make a pattern.
What is the length of screwdriver number 4?
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Geometry, NAP-I2-34
Jimmy drew a chess piece that is pictured below.
He reflected the piece across the dotted line.
He rotated it 90 degrees anticlockwise.
Which picture below shows what it looks like after this?
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Probability, NAP-I2-31
A soccer competition has six teams playing on the same day.
The table below shows the draw.
If no match ends in a draw, which of the following is possible?
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Tigers and Lions are the only teams that lose. |
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Lions and Cheetahs both lose. |
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Meercats and Civets both win. |
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Lions, Leopards, Civets and Tigers all win. |
Statistics, NAP-I2-30
Obie does odd jobs around the house to earn pocket money.
He gets $6 per job.
The table below shows all the jobs he did in one week.
If Obie does the same jobs for two weeks, how much money will he earn altogether?
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Number, NAP-C4-CA13
A pile of paper is 35 mm high.
If each sheet is 0.08 mm thick, how many sheets of paper are in this pile?
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Algebra, NAP-C4-CA10
Tim produced a pattern with large squares and small triangles.
If Tim continues this pattern how many small triangles will be in the 12th shape?
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Statistics, NAP-C4-CA09
Luke picked bananas for 30 days. He counted the total number of bananas he picked everyday and created the graph shown below.
How many days did Luke pick less than 145 bananas?
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Statistics, NAP-D4-CA15
Between 2007 and 2010, the number of people with type II diabetes in America increased by about
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Algebra, NAP-D4-CA14
The value of
What is the value of
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Measurement, NAP-D4-CA12
Bojack is going to paint the inside walls of his garage.
What information will best help him calculate the amount of paint he needs to buy?
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volume of the garage |
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perimeter of the internal garage ceiling |
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perimeter of all internal garage wall |
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area of all internal garage walls |
Measurement, NAP-D4-CA11
Two bricks can be joined to make three different rectangular prisms. Two of them are shown here.
What would be the measurements of the third prism?
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Algebra, NAP-D4-CA10
Billy is setting up tables for a comedy night at his club.
An X is placed for every available seat at a table, as shown below.
Which of these rules can be used to work out how many people can sit on any row of tables?
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Geometry, NAP-D4-CA09
Jessie is arranging rectangular garden pots, as shown on the plan below.
Which view of the pots would Jessie see?
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Number, NAP-D4-CA08
The distance between the Earth and the moon is 384 712 303 metres.
How far is that to the nearest million?
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Algebra, NAP-D4-CA07
The surface area
Which one of these formulas could be used for this calculation?
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Number, NAP-C4-CA08
In a hospital, there are 40 nurses and 600 patients.
What is the ratio of nurses to patients?
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Geometry, NAP-C4-CA07
Juanita wanted to print a larger copy of her photo of a tree.
She increased the scale by a factor of 3.
She named the first picture Photo A and the second picture Photo B.
If Photo B is 3.2 cm high, how high is Photo A?
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Geometry, NAP-B3-CA14
Sanjeev is travelling along Dogwood Drive towards Alex Street.
What direction is Sanjeev travelling?
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Measurement, NAP-B3-CA13 SA
What is the size of angle
Number, NAP-B3-CA12 SA
What number will make this number sentence true?
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Statistics, NAP-B3-CA11
During picking season, four groups of people were hired to pick apples.
A group will receive a bonus if they pick more than 24 apples per person in a 10-minute period.
The table below shows the total amount of apples picked by each group in the first 10 minutes.
Which group would have received a bonus in the first 10-minute period?
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Number, NAP-B3-CA08 SA
Gabriel wrote a number on a piece of paper.
If she multiplied her number by 4 and then divide by 2, the answer would be 20.
What was Gabriel's number?
Algebra, NAP-D3-CA12
Billy is setting up tables for a comedy night at his club.
An X is placed for every available seat at a table, as shown below.
Which of these rules can be used to work out how many people can sit on any row of tables?
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Algebra, NAP-D3-CA16
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Algebra, NAP-D4-NC19 SA
Robin was an archer and was aiming for the target below in archery game.
In the game, Robin shoots 3 arrows at the target, with each shape worth points.
The table below shows the results of Robin's first 3 turns, each shooting 3 arrows.
In Robin's 4th turn, he hits the following 3 objects:
How many points did he score in his 4th turn?
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Number, NAP-B3-CA19
A bowl has 16 pieces of fruit in it.
12 of the pieces of fruit are oranges.
What fraction of the pieces of fruit are oranges?
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Geometry, NAP-D4-NC15
Abe cuts a regular hexagon into 3 identical shapes.
Which of these could be the shape that Abe cuts?
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Number, NAP-D3-CA18
Richard is a runner.
The length of his last 4 half marathons are recorded in the table below.
Which half marathon had the shortest distance?
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Geometry, NAP-D3-CA17
Rico thinks of a regular 2D shape.
It has less than 2 pairs of parallel sides.
Which shape could it be?
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Number, NAP-D3-CA14
Which of these numbers is not a prime number?
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Measurement, NAP-C4-NC16
The sign shows opening hours of a car parking station.
Kenny wants to park his car for 2 hours to do some shopping, before collecting his car to drive home.
At which time below could he safely park his car and pick it up to drive home?
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11:30 am Wednesday |
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3:00 pm Wednesday |
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11:45 am Saturday |
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3:00 pm Saturday |
Measurement, NAP-C4-NC15
Which of these is the longest distance?
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Algebra, NAP-C4-NC14
The table shows how a sock company grew by selling more and more pairs of socks over 5 years.
Using this data, what is the best estimate for the number of pairs of socks sold in the sixth year?
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Geometry, NAP-C4-NC13
A closed shape has two pairs of equal adjacent sides.
What is the shape?
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