Aussie Maths & Science Teachers: Save your time with SmarterEd
Rhonda took a survey, asking participants if they had purchased any softdrinks, milkshakes or juice in the last week.
Which Venn diagram shows the number of people that had purchased only one type of drink?
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A father and his son attended a video game convention, arriving at 9:15 am.
They left the convention at 2:05 pm.
How long did they spend at the convention?
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2 hours and 50 minutes |
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3 hours and 10 minutes |
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4 hour and 10 minutes |
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4 hours and 50 minutes |
Ashley attended a seminar about marketing which started at 8:30 am.
The seminar ended at 12:10 pm.
How long was the seminar held?
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2 hours and 10 minutes |
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3 hours and 10 minutes |
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3 hours and 40 minutes |
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4 hours and 40 minutes |
The parallelogram shown below has width (`W`) and length (`L`).
Which expression can be used as a perimeter of this figure?
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`L xx W` |
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`2L xx 2W` |
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`2W + L` |
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`2 (L + W)` |
A manufacturer makes horse floats.
The table below shows how many floats it makes each month.
The number of floats made grows each month and follows the rule:
Double the number made last month and deduct 4
How many horse floats are made in the 5th month?
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22 |
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28 |
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32 |
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36 |
Norman started cycling to stay fit.
The table below shows the distance he cycles on his rides.
The distance he cycles increases each ride and follows the rule:
Double the last distance and deduct 2.
What is the distance travelled by Norman on his 5th ride?
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26 km |
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30 km |
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34 km |
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36 km |
Lorenzo had a $10 note.
He decided to buy 13 tokens that are worth 60 cents each to play in the arcade.
How much change will he get?
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$2.20 |
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$3.20 |
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$6.80 |
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$7.80 |
Jillian has $25 for buying some groceries.
At the supermarket, she bought 10 oranges that cost $0.25 each and 8 sweet potatoes that cost $1.50 each.
How much change will she get?
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$7.50 |
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$9.50 |
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$10.50 |
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$12.50 |
A company ships crates overseas and calculates the cost of shipping per crate.
This company uses a formula for calculating the size and cost of shipping.
The formula is shown below:
Size = Length + Width + Height
The maximum size of crates to be shipped overseas is 350 cm.
Which of the following crates is oversized?
| Length | Width | Height | |
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200 | 60 | 80 |
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150 | 130 | 90 |
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160 | 100 | 70 |
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130 | 120 | 100 |
A delivery company uses a formula to determine the cost of shipping different sizes of boxes.
The formula they use is as follows:
Size of box = length + width + height
The maximum size that can be shipped is 240 cm.
Which box is oversized?
| Length | Width | Height | |
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100 | 80 | 60 |
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70 | 60 | 90 |
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90 | 90 | 50 |
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90 | 110 | 50 |
At the start of an experiment, Stephanie has 215 millilitres of chemical solution in a flask.
Stephanie then used some of the solution in the experiment.
The image below shows the volume of the chemical solution left in the flask.
How much of the solution was used?
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15 millilitres |
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100 millilitres |
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115 millilitres |
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150 millilitres |
Rosa started with 227 millilitres of chemical solution in a flask.
She then poured some of the chemical solution into a test tube.
The level of chemical solution left in the flask is shown in the image below.
How much solution did Rosa pour into the test tube?
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27 millilitres |
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40 millilitres |
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47 millilitres |
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220 millilitres |
Charlie wants to determine the number of students enrolled in both Mathematics and Physics.
Which shaded region of the following Venn diagrams shows the information that is needed by Charlie?
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`text{This diagram shows the intersection of students enrolled in both Math and Physics.}`
In a deck of 52 playing cards, Ian draws one without looking.
Which card is most likely to be drawn?
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A king |
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A number four or five |
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A black suit |
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A diamond suit |
Two fair dice were rolled and the numbers on each die were added up.
Which resulting sum is most likely to occur?
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2 |
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9 |
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11 |
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12 |
The table shown below represents a rule of changing each 
into a 
.
Which rule is used?
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`=` | |
`xx 4 - 1` |
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`=` | |
`xx 2 -2` |
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`=` | |
`xx 3 -2` |
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`=` | |
`xx 5 - 6` |
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` = \ \ ` | |
` xx 4 – 1 ` |
`text{Consider option 1:}`
`5 xx 4 – 1 = 19\ text{(Correct)}`
`7 xx 4 – 1 = 27\ text{(Correct)}`
`9 xx 4 – 1 = 3 \ text{(Correct)}`
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` = \ \ ` | |
` xx 4 – 1 ` |
The table below shows the results of a rule that changes each 
into a 
.
Which rule is used?
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`=` | |
`xx 4 - 4` |
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`=` | |
`xx 2 -2` |
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`=` | |
`xx 3 - 2` |
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`=` | |
`xx 5 - 6` |
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` = \ \ ` | |
` xx 3 – 2 ` |
`text{Check each option:}`
`2 xx 4 – 4 = 4 \ text{(Correct)}`
`4 xx 4 – 4 = 12 \ text{(Incorrect)}`
`2 xx 2 + 2 = 6 \ text{(Incorrect)}`
`2 xx 3 – 2 = 4\ text{(Correct)}`
`4 xx 3 – 2 = 10\ text{(Correct)}`
`6 xx 3 – 2 = 16 \ text{(Correct)}`
`2 xx 5 – 6 = 4\ text{(Correct)}`
`4 xx 10 – 6 = 34 \ text{(Incorrect)}`
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` = \ \ ` | |
` xx 3 – 2 ` |
What is the value of `16^2`?
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8 |
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18 |
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32 |
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128 |
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256 |
What is the value of `24^2`?
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26 |
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48 |
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96 |
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576 |
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784 |
Anthony is driving south-east along Sterling road and turns left 90° turn into Faraday road.
In which direction is Anthony driving along Faraday road?
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North-east |
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South-east |
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South-west |
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North-west |
`therefore \ text{Anthony was heading in the North-east direction}`
Cesar was driving north-east along Leo street.
In which direction is Cesar travelling if he turns right 90° into Grove street?
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North-west |
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South-east |
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South-west |
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North-east |
`therefore \ text{Cesar was heading in the South-East direction.}`
The regular hexagon below has a side length of `a`.
Which expression cannot be used to calculate the perimeter?
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`6 xx a` |
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`3 xx (a+ a)` |
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`2 xx (a + 4a)` |
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`(a + a + a) xx 2` |
Kelly wants to give away some of the apples that came from her family’s farm.
The two small boxes shown below fit either 5 apples or 6 apples.
Kelly has 9 BOX A's and 10 BOX B's.
She shares the apples equally among 15 of her friends.
How many apples will each of her friends receive?
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5 |
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7 |
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8 |
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104 |
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105 |
John bought two different bags of bread rolls.
He bought 5 Bags A's and 10 Bag B's.
John then divided the bread rolls equally among 20 families.
How many bread rolls did each family receive?
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4 |
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5 |
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6 |
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70 |
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80 |
A student needs 12 folder dividers for each subject.
This student is enrolled in 5 subjects.
A school supply store sells the folder dividers in packets of 8.
How many packets should the student buy?
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4 |
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6 |
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7 |
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8 |
William needs 4 eggs for each cake he will bake.
He wants to make 12 cakes.
A certain store sells eggs in bags of 5.
How many bags must he buy in order to make 12 cakes?
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8 |
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9 |
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10 |
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12 |
A regular decagon is folded in half along the dotted line.
The folded shape can be also called a?
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hexagon |
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dodecagon |
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quadrilateral |
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octagon |
The folded shape has 6 sides → hexagon.
A shape of an arrow head is folded half a long the dotted line.
The folded shape can also be called a
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Quadrilateral |
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Triangle |
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Hexagon |
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Pentagon |
`text{The folded shape is a triangle}`
The time spent by Mark playing video games on his computer is recorded in a table.
What was the average time per day that Mark spent playing video games over this period?
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41 minutess |
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57 minutes |
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63 minutes |
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342 minutes |
The table shown below records Emily's jogging time over six days.
What was the average time Emily jogged each day?
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48 minutes |
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61 minutes |
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288 minutes |
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368 minutes |
Troy built a solid figure using cubes.
He paints all the outer sides red, including the base, and then separates the cubes.
How many faces are painted red?
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24 |
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30 |
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34 |
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36 |
Sarah creates a solid figure using five cubes.
She paints all the outer sides blue, including the base, and then separates the cubes.
How many faces are painted blue?
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18 |
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22 |
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24 |
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26 |
`12.5 xx Z = 2.5`
Find the value of `Z` in order to make this number sentence correct
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1.35 |
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0.40 |
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5.0 |
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0.20 |
`1.36 xx B = 0.68`
Find the value of `B` that makes this number sentence correct.
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0.75 |
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0.60 |
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0.50 |
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0.20 |
The results of a men's 100 metre swimming race is recorded in the table below.
What could be the finishing time of the 2nd placed swimmer?
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46.28 seconds |
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46.61 seconds |
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46.48 seconds |
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46.80 seconds |
The result of a 100-metre dash was recorded in the table shown below.
What could be the time of the runner in 3rd place?
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13.85 seconds |
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14.26 seconds |
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14.58 seconds |
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14.92 seconds |
Jackson has 97 blocks.
He builds identical shapes that take 14 blocks each.
He had 13 blocks left.
How many shapes did Jackson made
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5 |
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6 |
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7 |
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9 |
Owen has 84 lego pieces.
He built identical shapes that each used 11 lego pieces.
He had over 7 lego pieces left.
How many shapes did Owen made
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10 |
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12 |
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8 |
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7 |
The picture below is a shape made with 7 equilateral triangles.
What is its perimeter?
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16 cm |
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18 cm |
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19 cm |
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20 cm |
The picture below is a shape made with 4 rhombuses.
What is its perimeter?
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18 cm |
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20 cm |
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22 cm |
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24 cm |
Which of these rectangles has the largest fraction of its area shaded?
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`text{2nd option has} \ frac{3}{4} \ text{of its area shaded (the most).}`
Which of these circles has the largest fraction of its area shaded?
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`text{2nd option has the largest area shaded.}`
8 of the tallest buildings in the United States are listed in the table below.
How much taller is New York’s 2nd tallest building than Chicago’s shortest building on this list?
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98 m |
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83 m |
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197 m |
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37 m |
7 of the world's longest rivers are listed in the table below.
How much shorter is China's longest river compared to Brazil's longest river?
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460 km |
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1296 km |
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2410 km |
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2512 km |
Marie flips an unbiased coin for 126 times.
Which result is most likely?
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38 heads |
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52 heads |
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60 heads |
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79 tails |
Marie rolls a fair die 60 times.
Which result is most likely?
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5 rolls of number two |
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7 rolls of number two |
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9 rolls of number two |
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13 rolls of number two |
Amelia is making a pattern using nails.
The table below shows the number of nails she needs for the pattern to be complete.
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12 |
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15 |
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16 |
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18 |
`text{Each new pattern adds the new pattern number to the previous total.}`
`text{Pattern # 5 is}`
`therefore \ text{Nails needed = 5 + 10 = 15}`
Amelia is making a pattern using flowers
The table below shows the number of flowers she needs for the pattern to be complete.
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10 |
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9 |
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12 |
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5 |
`text{The pattern is “increase by 2 each time.}`
`text{Pattern # 5 is}`
`therefore \ text{10 flowers are needed for pattern #5.}`
On a tourist map, two landmarks are measured to be 12.2 centimetres apart.
On the map, 1 centimetre represents 5 kilometres.
What is the actual distance between the landmarks?
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2.44 km |
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24.4 km |
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6.1 km |
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61.0 km |
Two stores are 8.2 cm apart on a map.
On the map, 1 cm represents 2 km.
What is the actual distance between the stores?
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4.1 km |
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1.64 km |
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16.4 km |
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41.0 km |
If `z= 7`, what is the value of `5z`?
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35 |
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55 |
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57 |
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75 |
If `y= 4`, what is the value of `3y`?
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7 |
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10 |
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12 |
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34 |
Izzie and Miranda saved $66 altogether.
Miranda saved half as much money as Izzie.
How much money did Izzie saved?
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$11 |
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$22 |
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$30 |
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$44 |
Adam and Kenneth bought a bike together that cost $150.
Adam paid twice as much money as Kenneth.
How much money did Kenneth paid?
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$50 |
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$75 |
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$100 |
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$120 |
Which picture shows the pencils creating an angle of 30°?
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Which picture shows that the book is opened at an angle of 180°?
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`text{This book is opened at an angle of 180}^@`
A menswear store recorded the number of items it sold in four different categories.
What category makes up 60% of the total number of items sold?
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Hoodies |
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Shorts |
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T-shirts |
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Pants |
A bakery recorded the flavour of every cupcake it sold during a month.
Which flavour makes up 30% of the cupcakes sold?
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Chocolate |
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Banana |
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Strawberry |
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Caramel |
Which letter has exactly one line of symmetry?
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`text{The letter A has only one line of symmetry.}`
Which letter has two lines of symmetry?
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`text{The letter X has two lines of symmetry.}`