Aussie Maths & Science Teachers: Save your time with SmarterEd
A butterfly is displayed in a museum exhibition.
The butterfly is twisted one quarter of a turn anti-clockwise.
Which of these shows the new position of the butterfly?
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`text(A quarter turn anti-clockwise is the same as a)`
`text(90° turn to the left.)`
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represents `2/5`. |
What represents one whole?
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`text(Each circle is equal to)\ \ 1/5.`
Rahul draws a net, which is pictured below.
What 3D object will it make?
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Pentagonal prism |
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Pentagonal pyramid |
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Hexagonal pyramid |
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Hexagonal prism |
Joel is running a cooking class.
He has 26 students in the class and needs to give them 2 eggs each for a recipe.
Eggs are sold in cartons of 12.
What is the least number of egg cartons that Joel needs to buy?
| `3` | `4` | `5` | `6` |
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Steve and Tony are planning to meet on the corner of two streets.
The location of the corner is in D4 on the map.
On the corner of which two streets will Steve and Tony meet?
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Vessuvio and Third |
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Fourth and Cowra |
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Farrar and Fourth |
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Third and Solid |
Which letter is in the square and also in the circle, but not in the triangle?
Some students at a country school were asked to name their favourite animal.
The four most popular choices were put on the graph below.
Which column shows sheep on the graph?
| `text(A)` | `text(B)` | `text(C)` | `text(D)` |
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Jenny and Sam play a board game with a spinner.
Jenny spins the arrow.
On which number is the arrow most likely to stop?
| `1` | `2` | `3` | `4` |
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Justin makes a tally chart to calculate the money in his cash drawer at the end of the day.
The part of the tally chart for the $1 and $2 coins is shown in the table below.
How much money does Justin have in total, in $1 and $2 coins?
| `$21` | `$26` | `$29` | `$34` |
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Which of these squares has the smallest fraction of its area shaded?
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`text(Option 1 only has)\ \ 2/5\ \ text(of the square shaded.)`
`text(All other squares have at least)\ \ 1/2\ \ text(shaded.)`
What number is the letter A pointing to on this number line?
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`39` |
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`38` |
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`37` |
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`34` |
A year 7 class split into boys and girls and each group collected butterflies in a jar.
The total number of butterflies in each jar is put in the table below.
How many more butterflies did the boys catch than the girls?
| `5` | `6` | `7` | `9` |
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Max is a dog who stays in a kennel when his owners go on holiday.
A plan of the cages where the dogs sleep in the kennel is below.
Max's cage is in the south-west corner of the kennel.
Which of these could be Max's cage?
| `text(D4)` | `text(A5)` | `text(B5)` | `text(D1)` |
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4 friends practiced taking soccer penalty goals.
They took 8 penalty with their right foot and another 8 penalty goals with their left foot.
The results are shown in the graph below.
Who scored the most penalty goals?
| `text(Lionel)` | `text(Kane)` | `text(Tim)` | `text(Pele)` |
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Irene placed three identical tiles together at their edges.
She drew around the outside to make this new shape.
Which of these could have been the shape of her tiles?
| `text(triangles)` | `text(rectangles)` | `text(trapeziums)` | `text(rhombuses)` |
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`text(rhombuses)`
Leonardo drew a shape.
Its diagonals meet at right angles and one is longer than the other.
Which of these could be Leonardo's shape?
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`text(Consider each option:)`
`text(Option 1: Rectangle’s diagonals don’t meet at right angles.)`
`text(Option 2: Trapezium’s diagonals don’t meet at right angles.)`
`text(Option 3: A rhombus has diagonals that intersect and have)`
`text(different lengths.)`
`text(Option 4: A squares diagonals are equal length.)`
`:.\ text(The shape must be a rhombus.)`
Henry bought an ice cream cone for $2.85 using coins in his pocket.
After paying, he counted $1.45 left in coins.
How much money in coins did Henry have to start with?
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Billy has this much money.
He buys an avocado for $1.35.
How much money does Billy have left
| `text(25 cents)` | `text(35 cents)` | `text(40 cents)` | `text(45 cents)` |
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Alison buys paper clips that come in three sizes, small, medium and large.
The picture shows the lengths of the small and large clips.
What could the length of the medium paper clip be?
| `text(1 centimetre)` | `text(5 centimetres)` | `text(7 centimetres)` | `text(11 centimetres)` |
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Jack rolls a standard dice three times.
He rolls a six each time.
Jack then has a forth roll.
Which of the following is true?
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He is more likely to roll a six than a four. |
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He is certain to roll a six. |
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He has an equal chance of rolling a six as a four. |
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He is more likely to roll a four then a six. |
A small country primary school has 17 more boys than girls.
Garoo knows there are 58 boys.
How can Garoo work out the number of girls at his primary school?
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add 58 to 17 |
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subtract 17 from 58 |
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multiply 17 by 58 |
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divide 58 by 7 |
Which of these units could be used to measure the mass of a lawnmower?
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`text(metres)` |
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`text(seconds)` |
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`text(centimetres)` |
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`text(kilograms)` |
How many even numbers are between 11 and 25?
| `6` | `7` | `8` | `14` |
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Patrick poured one quarter of a litre of milk into his glass.
How many millilitres did Patrick pour into his glass?
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`25` |
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`250` |
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`750` |
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`4000` |
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`5000` |
Bella needs one more piece to complete the face on this puzzle.
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The French Open men's tennis final was held on 3 June.
5 days before the final, Rod arrived in Paris.
On what day of the week did Rod arrive in Paris?
| `text(Monday)` | `text(Tuesday)` | `text(Wednesday)` | `text(Thursday)` | `text(Friday)` |
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Gavin measured the temperature every 3 hours from 6:00 am to 3:00 pm.
Which graph shows Gavin's results?
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Zoe collects 100 eggs from her chicken shed.
She puts the eggs in cartons that hold 12 eggs.
How many full cartons can she fill?
| `6` | `8` | `9` | `12` |
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Munro has $86.
How much more money does he need to buy the tennis racquet?
| `$42` | `$48` | `$52` | `$58` |
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Richard made 4 patterns on a grid paper.
Which pattern has the least shading?
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`text{The least shading is 8 full squares (in total).}`
What is the missing number on this number line?
| `50` | `55` | `60` | `65` |
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Phil painted squares grey in the grids pictured below.
Which grid has `1/3` of its squares painted grey?
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`1/3\ \ text(of the grid is 5 squares.)`
Nigel had 66 blocks.
He built identical shapes that were made up of 16 blocks each.
He had 2 blocks left over.
How many shapes did Nigel make?
| `4` | `14` | `16` | `33` |
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The table below shows the session times of movies.
Which of these movies lasts two and a half hours?
| `text(Never Ever)` | `text(Shake It Off)` | `text(Bad Blood)` | `text(Blank Space)` |
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Conrad created a number pattern by adding four to a number to get the next number.
Which of these could be the first four numbers of Conrad's pattern?
| `4, 14, 24, 34` | `5, 9, 14, 20` | `7, 12, 17, 22` | `9, 13, 17, 21` |
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Andre's birthday is on the 28th of June.
His mother's birthday is 6 days later.
Which day of the week was his mother's birthday in 2016?
| `text(Saturday)` | `text(Sunday)` | `text(Monday)` | `text(Tuesday)` |
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Virat had a stall that sold hats at the cricket.
The table below shows the number of hats of each size that he sold.
Which column on the graph represents extra large?
| `text(A)` | `text(B)` | `text(C)` | `text(D)` |
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This is a view of a solid made by stacking 22 identical cubes.
How many cubes are completely hidden in this view?
| `16` | `15` | `7` | `6` |
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Dean balances four objects on a set of scales, as pictured below.
Which object is the heaviest?
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`text(Money bag is heavier than the gold bar.)`
`text(Bowling ball is the same mass as the money bag)`
`=>\ text(Bowling ball is heavier than gold)`
`text(Lead weight is heavier than the bowling ball)`
`=>\ text(Lead weight is the heaviest of all items)`
Ruby made a 3D object using only hexagons and rectangles as faces.
Which object could she have made?
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Erasmus painted squares grey on the grids pictured below.
All the squares in the grids are the same size.
Which grid has the largest area painted grey?
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Crassus had 12 fifty-cent coins and 15 twenty-cent coins in his pocket.
How much money did he have in total?
| `$90` | `$27.70` | `$15` | `$9` |
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Bob had a mini tennis court in his backyard, as shown in the diagram below.
What is the area of the mini tennis court?
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`6\ text(square metres)` |
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`12\ text(square metres)` |
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`24\ text(square metres)` |
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`48\ text(square metres)` |
Emelda buys the following items.
Emelda gives the shop owner $40.
How much change should she get?
| `$7` | `$8` | `$32` | `$72` |
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Banjo started with 475 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 Banjo pour into the cup?
| `text(50 millilitres)` | `text(75 millilitres)` | `text(100 millilitres)` | `text(400 millilitres)` |
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Ten school children were asked how many times they ordered lunch from the canteen in the last week.
Their answers were: 5, 1, 0, 3, 3, 3, 4, 2, 4, 1
Which of the dot plots below correctly displays the data
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The crossbar of some goal posts fell down, as shown in the diagram below.
The angle marked `x`, between the ground and the crossbar is
| `text(more than 90 degrees.)` | `text(equal to 90 degrees.)` | `text(less than 90 degrees.)` |
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The meeting at the town hall starts at what time tonight?
| `8:07` | `6:08` | `7:40` | `6:40` |
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Mitchell is buying cricket balls from the sporting goods shop.
It costs $12 to buy 3 balls.
If each ball costs the same, how many balls could he buy for $48?
All these objects are most like
| `text(cubes.)` | `text(prisms.)` | `text(triangles.)` | `text(pyramids.)` |
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Matt was recording the colour of cars that drove past his school in 1 hour.
In the hour, Matt saw 9 blue, 12 silver and 6 white cars.
In the tables below, `text(X)` = 3 cars.
Which table correctly shows the number of cars that Matt saw?
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`text(S)text(ince)\ X = 3\ text(cars,)`
| `text(9 Blue cars)` | `=\ text(XXX)` |
| `text(12 Silver cars)` | `=\ text(XXXX)` |
| `text(6 White cars)` | `=\ text(XX)` |
Jen is at the starting line of an orienteering course, as shown on the grid diagram below.
Jen jogs 200 metres north and 300 metres east from the starting line to reach Checkpoint 1.
In which cell is Checkpoint 1?
| `text(G5)` | `text(B4)` | `text(H4)` | `text(A3)` |
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Emma uses the number sentence 8 × 4 = 32 to solve a problem.
Which of the problems below would the number sentence solve?
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Emma has 8 students and gets 4 more. How many students does she have now? |
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Emma has 8 students. She gives each of them 4 pencils. How many pencils does Emma give to her students? |
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Emma has 8 pencils. She shares them with 4 students. How many pencils does each student get? |
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Emma has 8 pencils and gives 4 away. How many pencils does she have now? |
A solid 3D cone is cut horizontally as shown below.
What shape is the inside face of the cut?
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`text(Any horizontal cut of a cone will result in a circle)`
`text(at the inside face of the cut.)`
Which two streets are parallel?
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Peel St. and Price St. |
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Peel St. and Sterling Rd. |
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Bat St. and Price St. |
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Bat St. and Sterling Rd. |
Peter fills his petrol tank until it is 80% full.
Which dial below is Peter's fuel dial?
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`text(Each interval represents 25% of the fuel tank.)`
What number makes this number sentence correct?
| `1.3 xx` |
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`= 5.46` |
| `4.2` | `4.22` | `6.76` | `7.098` |
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The image below shows a game of noughts and crosses in progress.
What fraction of the available boxes have been filled in?
| `1/2` | `4/7` | `5/7` | `7/9` |
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A view of a soccer field is pictured below.
Which shape is not shown?
| `text(rectangle)` | `text(circle)` | `text(square)` | `text(quarter circle)` |
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The expression `3x + 7 + 8x + 11` can also be written as
| `10x + 19` | `11x + 18` | `18x + 11` | `29x` |
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