Aussie Maths & Science Teachers: Save your time with SmarterEd
Mike has 84 brochures to give out at a conference.
He puts an equal number of brochures onto each table at the conference and has none left over.
Select all of the options that could show the number of tables at the conference.
| `6` | `7` | `13` | `16` | `24` |
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`6 and 7`
`text(Only when 84 is divided by either 6 or 7)`
`text(will the answer be a whole number.)`
On Monday, Jeremy went to the doctor and was given 24 tablets.
Jeremy was to take 5 tablets each day starting from Monday.
On which day did Jeremy take the last tablet?
| Thursday | Friday | Saturday | Sunday |
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`text(Friday)`
| `text(Number of days)` | `= 24 ÷ 5` |
| `= 4\ text(remainder 4)` |
`=>\ text(Jeremy has his last tablet on the 5th day.)`
`:.\ text(Friday)`
There are 48 students at an assembly.
Mr Lantry lines the students up so there are 8 students in each row.
How many rows are there?
`6`
| `text(Number of rows)` | `= 48 ÷ 8` |
| `= 6` |
Emily has 85 cents in 5-cent pieces.
How many 5-cent pieces does she have?
| `17` | `80` | `40` | `425` |
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`17`
`85 ÷ 5 = 17\ text(pieces)`
Hugo has 151 bottles to throw in empty recycling bins.
He can fit between 31 - 35 bottles in each bin.
How many bins does Hugo need?
| `3` | `4` | `5` | `6` |
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`5\ text(bins)`
`text(If 5 bins are used, the bottles that fit)`
`=5 xx 31`
`=155`
`text(Note that the highest number that would fit into)`
`text{4 bins = 4 × 35 = 140 bottles (not enough)}`
A group of soccer fans all go to a soccer game.
Entry to the game costs $3.
Altogether the group pay $156.
How many soccer fans are there in the group?
| `50` | `51` | `52` | `63` |
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`52`
| `text(Fans in group)` | `=156 -: 3` |
| `=52` |
Kim is packing 27 plums into boxes to take to the market.
Each box can hold 5 plums.
What is the smallest number of boxes Kim needs to make sure all the plums are packed?
`6\ text(boxes)`
| `text(Boxes needed)` | `=27 -: 5` |
| `=5\ \ text(remainder 2)` | |
| `=6\ text(boxes)` |
Byron spent $12.80 on pens for the new school year.
Each pen cost 40 cents.
How many pens did he buy?
`32\ text(pens)`
`text(Strategy 1:)`
`=> 10\ text(pens cost $4.00)`
`=> 30\ text(pens cost $12.00)`
`:. 32\ text(pens cost $12.80)`
`text(Strategy 2:)`
`text(Using long division,)`
`$12.80 = 1280¢`
`\ \ \ 32`
`40` `\ 1280`
`120\ \ \ `
`qquad 80`
`qquad 80\ \ \ `
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?
| `1` | `30` | `83` | `120` | `200` |
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`120`
`text(Guy’s truck = 6 × 100 = 600 cm)`
| `:.\ text(Number of times longer)` | `= 600/5` |
| `= 120` |
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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`8`
`text(Cartons that can be filled)`
`=100/12`
`= 8\ \ text(remainder 4)`
`:.\ text(Zoe can pack 8 full cartons.)`
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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`4`
`66 ÷ 16 = 4\ text(remainder 2)`
`:. \ text(Nigel made 4 shapes.)`
Wayne needs to buy 14 pairs of socks for the players in his soccer team.
The socks are sold in packets of 3.
How many packets does Wayne need to buy?
| `4` | `5` | `17` | `42` |
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`5`
`text(Socks in 4 packets)`
`=4 xx 3 = 12`
`text(Socks in 5 packets)`
`=5 xx 3= 15`
`:.\ text(5 packets are needed.)`
There are 48 students in Year 7 at a school.
Every student is either right-handed or left-handed.
There are 7 times more right-handers than left-handers.
How many left handers are there in Year 7?
`6\ text(left handers)`
`text(S) text(ince there are 7 times more right-handers,)`
`=>\ text(1 out of 8 are left-handers.)`
`:.\ text(Number of left-handers)`
`= 1/8 xx 48`
`= 6`
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?
| `2` | `6` | `9` | `37` |
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`text(2 lollipops)`
`text(Lollipops given to each player)`
`=44-:7`
`=6\ text(remainder 2)`
`:.\ text(Matt gets the 2 lollipops left over.)`
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?
`12`
| `text(C)text(ost of 1 ball)` | `= 12 -: 3` |
| `=$4` |
`:.\ text(Number of balls he can buy)`
`=48-:4`
`=12`