Aditi had 78 blocks.
She built identical shapes that were made up of 15 blocks each.
She had 3 blocks left over.
How many shapes did Aditi make?
`5` | `8` | `12` | `26` |
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Aussie Maths & Science Teachers: Save your time with SmarterEd
Aditi had 78 blocks.
She built identical shapes that were made up of 15 blocks each.
She had 3 blocks left over.
How many shapes did Aditi make?
`5` | `8` | `12` | `26` |
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`5`
`78 ÷ 15 = 5\ text(remainder 3)`
`:. \ text(Aditi made 5 shapes.)`
The table below shows the session times of movies.
Which of these movies lasts two and a half hours?
`text(Frozen)` | `text(T)text(angled)` | `text(Peter Pan)` | `text(Cars)` |
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`text(Peter Pan)`
`text(1:30 pm to 4:00 pm)`
`= 2\ text(hours and 30 minutes)`
`:.\ text(Peter Pan)`
The table below shows the session times of movies.
Which of these movies lasts two and a half hours?
`text(Evil Dead)` | `text(Ed Wood)` | `text(Fight Club)` | `text(Blood Brothers)` |
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`text(Ed Wood)`
`text(3:10 pm to 5:40 pm)`
`= 2\ text(hours and 30 minutes)`
`:.\ text(Ed Wood)`
Janis created a number pattern by adding five to a number to get the next number.
Which of these could be the first four numbers of Janis' pattern?
`3, 8, 14, 21` | `15, 25, 35, 45` | `8, 13, 18, 23` | `5, 9, 13, 17` |
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`8, 13, 18, 23`
`8 + 5` | `= 13` |
`13 + 5` | `= 18` |
`18 + 5` | `= 23` |
`:.\ text(Pattern is)\ \ 8, 13, 18, 23`
Donald 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 Donald's pattern?
`6, 10, 15, 21` | `4, 14, 24, 34` | `8, 11, 14, 17` | `7, 11, 15, 19` |
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`7, 11, 15, 19`
`7 + 4` | `= 11` |
`11 + 4` | `= 15` |
`15 + 4` | `= 19` |
`:.\ text(Pattern is)\ 7, 11, 15, 19`
Penny, Sheldon, Raj and Melissa are cousins.
The years they were born are recorded in the table below.
Who is the second eldest cousin?
`text(Penny)` | `text(Sheldon)` | `text(Raj)` | `text(Melissa)` |
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`text(Melissa)`
`text(The order from oldest to youngest is:)`
`text{Penny (1966)}`
`text{Melissa (1967)}`
`text{Sheldon (1976)}`
`text{Raj (1977)}`
`:.\ text(Melissa is the second eldest.)`
George, Martha, Nick and Honey are in a band.
The years they were born are recorded in the table below.
Who is the second youngest band member?
`text(George)` | `text(Martha)` | `text(Nick)` | `text(Honey)` |
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`text(Martha)`
`text(The order from oldest to youngest is:)`
`text{Nick (1988)}`
`text{George (1989)}`
`text{Martha (1998)}`
`text{Honey (1999)}`
`:.\ text(Martha is the second youngest.)`
Floyd builds the shape below using identical small blocks.
What is the smallest number of blocks Floyd needs to build a cube?
`11` | `12` | `13` | `14` |
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`12`
`text(The smallest possible cube will be)\ \ 3 xx 3 xx 3`
`text(Blocks needed to complete:)`
`text(Bottom row = 1)`
`text(2nd row = 4)`
`text(3rd row = 7)`
`:.\ text(Smallest number of blocks = 12)`
Xavier builds the shape below using identical small blocks.
What is the smallest number of blocks Xavier needs to build a cube?
`14` | `15` | `16` | `17` |
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`14`
`text(The smallest possible cube will be)\ \ 3 xx 3 xx 3`
`=>\ text(Blocks needed to complete:)`
`text(Bottom row = 1)`
`text(2nd row = 5)`
`text(3rd row = 8)`
`:.\ text(Smallest number of blocks = 14)`
This is a view of a solid made by stacking 24 identical cubes.
How many cubes are completely hidden in this view?
`10` | `11` | `14` | `15` |
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`10`
`text(Hidden cubes:)`
`text(Bottom row = 6)`
`text(2nd row = 3)`
`text(3rd row = 1)`
`:. 10\ text(cubes are completely hidden.)`
Abbey's birthday is on the 3th of August.
Her sister Lily had her birthday 6 days earlier.
Which day of the week was Lily's birthday in 2017?
`text(Tuesday)` | `text(Wednesday)` | `text(Thursday)` | `text(Friday)` |
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`text(Friday)`
`text(3rd August was on a Thursday.)`
`:.\ text(Lily’s birthday was on a Friday.)`
Basil's birthday is on the 29th of August.
His father's birthday is 6 days later.
Which day of the week was his father's birthday in 2017?
`text(Saturday)` | `text(Sunday)` | `text(Monday)` | `text(Tuesday)` |
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`text(Monday)`
`text(29th August was a Tuesday.)`
`:.\ text(Father’s birthday was on Monday.)`
Nico's birthday is on the 27th of June.
His sister's birthday is 5 days later.
Which day of the week was his sister's birthday in 2016?
`text(Saturday)` | `text(Sunday)` | `text(Monday)` | `text(Tuesday)` |
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`text(Saturday)`
`text(27th June was a Monday.)`
`:.\ text(Sister’s birthday was on Saturday.)`
Alvin sells supporters gear from his van at the football.
The table below shows the number of each clothing item that Alvin sold.
Which column on the graph represents caps?
`text(A)` | `text(B)` | `text(C)` | `text(D)` |
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`text(D)`
`text(Beanies are column A)`
`text(Caps sold less than T-shirts but more than scarves.)`
`:.\ text(Caps are column D.)`
Hansie had a stall that sold supporters' gear at the football.
The table below shows the number of each clothing item that Hansie sold.
Which column on the graph represents scarves?
`text(A)` | `text(B)` | `text(C)` | `text(D)` |
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`text(B)`
`text(T-shirts are column C)`
`text(Scarves sold less than beanies and more than caps.)`
`:.\ text(Column B must be scarves.)`
`3 xx` |
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`= 87` |
What number makes the above number sentence correct?
`19` | `29` | `84` | `361` |
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`29`
`3 xx 29 = 87`
`3 xx 29` | `=3 xx 20 + 3 xx 9` |
`=60 + 27` | |
`=87` |
`3 xx` |
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`= 81` |
What number makes the above number sentence correct?
`17` | `27` | `78` | `243` |
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`27`
`3 xx 27` | `=3 xx 20 + 3 xx 7` |
`=60 + 21` | |
`=81` |
`5 xx` |
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`= 65` |
What number makes the above number sentence correct?
`11` | `13` | `60` | `325` |
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`13`
`5 xx 13` | `=5 xx 10 + 5 xx 3` |
`=50 + 15` | |
`=65` |
`4 xx` |
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`= 68` |
What number makes the above number sentence correct?
`17` | `27` | `64` | `272` |
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`17`
`4 xx 17` | `=4 xx 10 + 4 xx 7` |
`=40 + 28` | |
`=68` |
What number is 10 less than 1005?
`905` | `995` | `1015` | `1095` |
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`995`
`1005 – 10 = 995`
What number is 10 less than 1108?
`908` | `998` | `1098` | `1908` |
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`1098`
`1108 – 10 = 1098`
What number is 10 less than 2002?
`1092` | `1902` | `1912` | `1992` |
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`1992`
`2002 – 10 = 1992`
Which arrow points to the number that is halfway between 15 and 45?
`A` | `B` | `C` | `D` |
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`B`
`text(Solution 1)`
`text(Halfway between 15 and 45)`
`= (15 + 45)/2`
`= 60/2`
`= 30`
`text(Solution 2)`
`text{(This point can be found by the three interval}`
`text{jumps needed from both 15 and 45 to get to 30)}`
`=>B`
Which arrow points to the number that is halfway between 14 and 26?
`A` | `B` | `C` | `D` |
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`B`
`text(Solution 1)`
`text(Halfway between 14 and 26)`
`= (14 + 26)/2`
`= 40/2`
`= 20`
`text(Solution 2)`
`text{(This point can be found by the three interval}`
`text{jumps needed from both 14 and 26 to get to 20)}`
`=>B`
Caroline rolled a die once.
The number she rolled was even and less than six.
Which of these numbers could Caroline have rolled?
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Karl rolled a die once.
The number he rolled was odd and greater than one.
Which of these numbers could James have rolled?
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Rana had a bag of 39 marbles.
She gave 8 of her friends an equal number of marbles and kept the rest for herself.
If she gave each friend the highest number of marbles possible, how many marbles did Rana keep?
`3` | `6` | `7` | `31` |
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`text(7 marbles)`
`text(Marbles given to each friend)`
`= 39 -: 8`
`= 4\ text(remainder 7)`
`:.\ text(Rana keeps 7 marbles.)`
Hailey had a bag of 58 marbles.
She gave 9 of her friends an equal number of marbles and kept the rest for herself.
If she gave each friend the highest number of marbles possible, how many marbles did Hailey keep?
`9` | `8` | `6` | `4` |
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`text(4 marbles)`
`text(Marbles given to each friend)`
`= 58 -: 9`
`= 6\ text(remainder 4)`
`:.\ text(Hailey keeps 4 marbles.)`
Olivia had a bag of 37 lollipops.
She gave an equal number of lollipops to 7 of her friends and kept the rest for herself.
If her friends were given the highest number of lollipops possible, how many did Olivia keep for herself?
`2` | `5` | `6` | `30` |
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`text(2 lollipops)`
`text(Lollipops given to each friend)`
`= 37 -: 7`
`= 5\ text(remainder 2)`
`:.\ text(Olivia keeps 2 lollipops.)`
Xander wants to find the number that will make this number sentence correct.
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`- 39 = 108` |
Which of these could Xander use to find the missing number?
`39 xx 108` | `39 + 108` | `39 - 108` | `108 - 39` |
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`39 + 108`
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`- 39 = 108` |
`text(Add 39 to both sides,)`
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`= 39 + 108` |
Elise wants to find the number that will make this number sentence correct.
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`+ 28 = 79` |
Which of these could Elise use to find the missing number?
`28 - 79` | `28 xx 79` | `79 - 28` | `79 + 28` |
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`79 – 28`
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`+ 28 = 79` |
`text(Deduct 28 from both sides,)`
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`= 79 – 28` |
Leia wants to find the number that will make this number sentence correct.
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`- 42 = 63` |
Which of these could Leia use to find the missing number?
`42 xx 63` | `63 - 42` | `42 - 63` | `42 + 63` |
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`42 + 63`
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`- 42 = 63` |
`text(Add 42 to both sides,)`
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`= 42 +63` |
Kirk, Spock and McCoy share a box of plums.
Kirk and Spock get `1/7` of the plums each.
What fraction of the box of the plums does McCoy get?
`1/7` | `2/7` | `5/7` | `6/7` |
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`5/7`
`text(Fraction that Kirk and Spock receive)`
`= 1/7 + 1/7`
`= 2/7`
`:.\ text(Fraction left for McCoy)`
`= 1 – 2/7`
`= 5/7`
Jade writes a number on a piece of paper and covers it.
She gives her friend the following clues about her number.
What is Jade's number?
`842` | `804` | `84` | `80` |
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`804`
`text(Consider the following clues,)`
`text(Number has 80 tens,)`
`=>\ text(Number is 3 digits, starting with 80_)`
`text(The “ones” digit is half the “hundreds” digit,)`
`:.\ text(Number must be 804.)`
Wyatt writes a number on a piece of paper and hides it.
He gives his friend the following clues about his number.
What is Wyatt's number?
`40` | `42` | `420` | `402` |
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`402`
`text(Consider the following clues,)`
`text(Number has 40 tens,)`
`=>\ text(Number is 3 digits, starting with 40_)`
`text(The “ones” digit is two less than the “hundreds” digit,)`
`:.\ text(Number must be 402.)`
What is the perimeter of the shape below given each square has a side length of 1 cm.
`text(9 cm)` | `text(20 cm)` | `text(22 cm)` | `text(36 cm)` |
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`text(20 cm)`
`text(Starting at the bottom right and moving clockwise:)`
`text(Perimeter)` | `= 6+1+1+1+1+1+3+2+1+3` |
`= 20\ text(cm)` |
What is the perimeter of the shape below given each square has a side length of 1 cm.
`text(11 cm)` | `text(24 cm)` | `text(26 cm)` | `text(44 cm)` |
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`text(24 cm)`
`text(Starting at the bottom right and moving clockwise:)`
`text(Perimeter)` |
`= 6+3+1+2+1+2+1+2+1+1+1+1+1+1` |
`=24\ text(cm)` |
Peach had 8 fifty-cent coins and 15 twenty-cent coins in her purse.
How much money did she have in total?
`$7` | `$9` | `$34` | `$38` |
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`$7`
`text(Total)` | `= 8 xx 50¢ + 15 xx 20¢` |
`= $4 + $3` | |
`= $7` |
Richie had 45 twenty cent coins in his pocket.
How much money did he have in total?
`$9` | `$45` | `$45.20` | `$90` |
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`$9`
`text(S) text(ince)\ 5 xx 20¢ = $1`
`45 xx 20¢` | `= 9 xx $1` |
`= $9` |
Cassius had 25 twenty-cent coins in his pocket.
How much money did he have in total?
`$50` | `$25.20` | `$25` | `$5` |
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`$5`
`text(S) text(ince)\ \ 5 xx 20¢ = $1,`
`25 xx 20¢` | `= 5 xx $1` |
`= $5` |
Nine school children were asked how many brothers and sisters they have in their family.
Their answers were: 1, 1, 3, 0, 4, 2, 2, 1, 0
Which of the dot plots below correctly displays the data?
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`text(Writing the data in order:)`
`0, 0, 1, 1, 1, 2, 2, 3, 4`
A door wedge is pictured in the diagram below.
The angle marked `x` is
`text(more than 90 degrees.)` | `text(equal to 90 degrees.)` | `text(less than 90 degrees.)` |
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`text(less than 90 degrees)`
`text(A right angle is)\ 90^@`
`:.\ text(The angle marked)\ x^@\ text(is less than 90 degrees)`
Leonardo was his soccer team's top goal scorer over two seasons.
In season 1, he scored 55 goals.
In season 2, he scored 65 goals.
Which number sentence could be used to find the total number of goals Leonardo scored over both seasons?
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`50 + 60 = 110` |
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`60 + 70 = 130` |
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`50 + 60 + 10 = 120` |
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`50 + 60 + 5 = 115` |
`50 + 60 + 10 = 120`
`text(Total goals over 2 seasons)`
`= 55 + 65`
`= 50 + 5 + 60 + 5`
`= 50 + 60 + 10`
`= 120`