Mount Kosciusko is 2228 metres high.
Mount Daligo is 1247 metres high.
How many metres higher is Mount Kosciusko than Mount Daligo?
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metres |
Aussie Maths & Science Teachers: Save your time with SmarterEd
Mount Kosciusko is 2228 metres high.
Mount Daligo is 1247 metres high.
How many metres higher is Mount Kosciusko than Mount Daligo?
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metres |
`981`
`text(Metres higher)` | `= 2228 – 1247` |
`= 981` |
Con packs oranges into boxes for the market.
Each box holds 20 oranges.
Con fills 3 boxes and has 6 oranges left over.
How many oranges does Con have altogether?
`46` | `60` | `66` | `78` |
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`66`
`text(One full box holds 20 oranges.)`
`:.\ text(Total oranges)` | `= 3 xx 20` |
`= 60 + 6` | |
`= 66` |
Hendrix is driving from Bundaberg to Caloundra, a distance of 306 kilometres.
When Hendrix gets to the Sunshine Coast, he has 36 kilometres left.
What distance has Hendrix travelled when he gets to the Sunshine Coast?
kilometres |
`270`
`text(Distance travelled)` | `= 306 – 36` |
`= 270\ text(kilometres)` |
Murray lives in Bundaberg where the temperature on a particular day was 39°C.
Murray's son lives in Salt Lake City, USA, and on the same day the temperature there was −15°C.
What was the temperature difference between the two towns on this day?
°C |
`54°text(C)`
`text(Temperature difference)` | `= 39 – (-15)` |
`= 54°text(C)` |
What is the missing number?
`3 xx ` | `= 6 xx 4` |
`8`
`3 xx ` |
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`= 6 xx 4` |
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`= (6 xx 4)/3` | |
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`= 8` |
`8 + (17 - 5 xx 3 + 2) =` |
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What number does |
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represent? |
`62` | `46` | `12` | `0` |
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`12`
`8 + (17 – 5 xx 3 + 2)` | `=` |
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`8 + (17-15+2)` | `=` |
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`8 + 4` | `=` |
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`12` | `=` |
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Death Valley is the lowest point in the United States at −85 metres, which is below sea level.
King's Peak, also in the United States, is 4128 metres above sea level.
What is the difference, in metres, between Death Valley and King's Peak?
4213 metres | 4203 metres | 4045 metres | 4043 metres |
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`4213\ text(metres)`
`text(Difference)` | `= 4128 – (- 85)` |
`= 4213\ text(metres)` |
Warwick needs to calculate `13 xx 6 + 13 × 4`.
Which expression will give Warwick the same answer?
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`13 xx (6 + 4)` |
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`13 xx (6 + 13)` |
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`(13 xx 2) + (6 xx 4)` |
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`(13 xx 2) + (6 + 4)` |
`13 xx (6 + 4)`
`13 xx 6 + 13 xx 4`
`= 13 xx (6 + 4)`
Sharnie is buying eggs for her restaurant's kitchen.
Each carton contains 12 eggs.
If she needs 90 eggs, how many cartons will she need to buy?
`text(8 cartons)`
`90 ÷ 12 = 7\ text(remainder 6)`
`:.\ text(Sharnie need 8 cartons.)`
The temperature at the summit of a large mountain is − 6°C.
The temperature at the base of the mountain is 32°C warmer than at the summit.
What is the temperature at the base of the mountain?
°C |
`26^@text(C)`
`text(Temperature at the base of the mountain)`
`= – 6 + 32`
`=26^@ text(C)`
In 1788, Captain Cook first landed on Australian soil. In 1996, Australia issued a collector's coin with his picture on it.
How many years separated Captain Cook's landing and the issuance of the collector's coin?
`108` | `118` | `208` | `218` |
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`208`
`1996 – 1788 = 208`
Between 2007 and 2010, the number of people with type II diabetes in America increased by about
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`text(0.5 million people.)` |
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`text(1 million people.)` |
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`text(1.5 million people.)` |
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`text(2 million people.)` |
`text(2 million people.)`
`33.21 – 31.16 = 2.05`
`:.\ text(The number increased by about 2 million people.)`
Jordan created a new world record by completing 4321 pull-ups in 24 hours.
Peter completed 3308 pull-ups in the same time.
How many more pull-ups did Jordan complete than Peter?
`7629` | `1013` | `1007` | `1003` |
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`1013`
`4321 – 3308 = 1013`
`17 xx (68 - 13)` has the same value as
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`(17 xx 68) - 13` |
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`(17 xx 68) - (13 xx 68)` |
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`17 xx (68 - 17 xx 13)` |
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`(17 xx 68) - (17 xx 13)` |
`(17 xx 68) – (17 xx 13)`
`text(Expanding the brackets:)`
`17 xx (68 – 13) = (17 xx 68) – (17 xx 13)`
The airforce buys 8 new fighter jets for $882.0 million.
Each jet costs the same amount.
What is the cost of 1 fighter jet?
`$110.25\ text(million)` | `$441.0\ text(million)` | `$874.0\ text(million)` | `$7056\ text(million)` |
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`$110.25\ text(million)`
`{$882.0\ text(million)}/ 8 = $110.25\ text(million)`
Leo took $72 to the 2nd hand book shop and bought a number of books.
All the books cost the same amount.
Leo paid for all the books and had no money left.
Which of these could be the amount that one book cost?
`$11` | `$9` | `$7` | `$5` |
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`$9`
`$72 ÷ 8 = $9`
`text($9 is the only amount that can be evenly)`
`text(divided into $72 with no remainder.)`
Patrick paid $3552 for some cattle.
He paid the same amount of money for each animal.
The cost of each animal was a whole number of dollars.
Which of the following could be the number of cattle Patrick bought?
`33` | `36` | `37` | `38` |
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`37`
`text(Consider the individual price of the cattle for each option:)`
`text(Option 1:)\ \ 3552/33` | `= 107.64…` |
`text(Option 2:)\ \ 3552/36` | `= 98.67…` |
`text(Option 3:)\ \ 3552/37` | `= 96` |
`text(Option 4:)\ \ 3552/38` | `= 93.47…` |
`:.\ text(S)text(ince only option 3 produces a whole number,)`
`text(there are 37 cattle.)`
Which number sentence is correct when 7 is placed in the box?
`17 + ` |
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`= 10` |
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`- 8 = 1` | `10 -` |
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`= 3` | `12 + 5 =` |
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`10 – 7 = 3`
`10 – 7 = 3`
Which of these has the same value as `98 xx 2 + 5`?
`200 + 1` | `98 + 103` | `100 xx 2 + 9` | `98 xx 7` |
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`200 + 1`
`98 xx 2 + 5` | `=(98 xx2) + (2 xx 2) + 5 – (2 xx2)` |
`=(100 xx 2) + 5-4` | |
`=200 + 1` |
Manou placed an apple pie into his oven.
The 1st measurement of the apple pie's temperature was − 4°C.
Twenty minutes later, a second temperature reading was taken, which measured 21°C.
What was the change in temperature between the two measurements?
decrease of 25°C | decrease of 17°C | increase of 25°C | increase of 17°C |
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`text(increase of)\ 25^@text(C)`
`text(Change in temperature)` | `=21-(-4)` |
`=25^@ text(C)` |
`:.\ text(An increase of 25°C.)`
Which of these values below makes this number sentence true?
`4 xx` |
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`> 28` |
`5` | `6` | `7` | `8` |
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`8`
`text(By trial and error:)`
`4 xx 5 =20 < 28`
`4 xx 6 = 24 < 28`
`4 xx 7 = 28`
`4 xx 8 =32 > 28`
`:.\ text(8 makes the number sentence correct.)`
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 required)`
`=100/12`
`= 8 4/12`
`:.\ text(Zoe can pack 8 full cartons.)`
In Australia, 288 701 children were enrolled in kindergarten in 2013.
Of these children, 150 125 were boys.
How many girls were enrolled in kindergarten in 2013?
`122\ 896` | `138\ 576` | `288\ 701` | `438\ 826` |
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`138\ 576`
`text(Number of girls) = 288\ 701 – 150\ 125 = 138\ 576`
Which of these is not equal to `42 xx 30`?
`42 xx 10 xx 3` | `420 xx 3` | `40 xx 30 + 2 xx 30` | `40 + 2 xx 30` |
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`40 + 2 xx 30`
`40 + 2 xx 30`
`= 40 + 60`
`= 100`
`!= 42 xx 30`
The second world war finished in 1945.
Approximately how many years ago did it finish?
`50` | `60` | `70` | `80` |
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`70`
`text(1945 plus 70 years is 2015.)`
`=>\ text(The closest approximation is 70 years.)`
Brian has an orchard with 17 different types of fruit trees.
He has a total of 306 fruit trees.
He has the same number of each type of fruit tree.
How many fruit trees of each type does Brian have?
trees |
`18`
`text(Number of trees of each type)`
`= 306 ÷ 17`
`= 18\ text(trees)`
Write a number in the box to make this number sentence correct.
`18 + 24 >` | `+ 4` |
`text{(Any number < 38)}\ + 4`
`18+24` | `=18+20+4` |
`=38+4` | |
`:.18+24` | `> text{(Any number < 38)}\ + 4` |
Three of the calculations below give the same value.
Which one gives a different value?
`789 xx 1` | `1 xx 789` | `789 ÷ 1` | `1 ÷ 789` |
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`1 ÷ 789`
`text(Considering each option:)`
`789 xx 1=789`
`1 xx 789=789`
`789÷1=789`
`1 ÷ 789=0.00126…`
John wants to find the answer to `2998 + 1567`.
Which of the following shows a way to get the same answer?
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`3000 + 1566` |
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`3000 + 1565` |
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`3004 + 1500` |
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`3004 + 1600` |
`3000 + 1565`
`text(By adding and subtracting 2:)`
`2998+1567` | `=2998+2+1567-2` |
`=3000 + 1565` |
At a local netball game between the Stars and the Strikers, 475 people turned up to watch.
The Stars had 223 supporters.
The rest supported the Strikers.
How many people supported the Strikers?
`242` | `252` | `248` | `258` |
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`252`
`text(Strikers supporters)` | `= 475-223` |
`=252` |