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Number, NAP-H4-NC14v1

Dilbert and Smacka were playing a game where they both started with zero points.

Dilbert's final score was 165 points and Smacka's final score was  − 90.

How many more points did Dilbert have than Smacka?

`−255` `−75` `75` `255`
 
 
 
 
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`255`

Show Worked Solution
`text(Difference)` `= 165 – (−90)`
  `= 255`

Number, NAP-L3-CA03

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`

Show Worked Solution

`text(One full box holds 20 oranges.)`

`:.\ text(Total oranges)` `= 3 xx 20`
  `= 60 + 6`
  `= 66`

Number, NAP-K3-NC02 SA

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
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`270`

Show Worked Solution
`text(Distance travelled)` `= 306 – 36`
  `= 270\ text(kilometres)`

Number, NAP-K3-CA11 SA

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
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`54°text(C)`

Show Worked Solution
`text(Temperature difference)` `= 39 – (-15)`
  `= 54°text(C)`

Number, NAP-B4-NC07

Which is the best estimate for  `26 xx 14 + 77 - 32`?

 
 `20 xx 10 + 70 - 30`
 
 `20 xx 10 + 80 - 30`
 
 `30 xx 10 + 80 - 30`
 
 `30 xx 20 + 80 - 40`
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`30 xx 10 + 80 – 30`

Show Worked Solution

`text(Round 26 up to 30)`

`=>\ text(round 14 down to 10)`

`text(Round 77 up to 80)`

`text(Round 32 down to 30)`

`:.\ text(Best estimate is)\ \ 30 xx 10 + 80 – 30`

Number, NAP-J3-CA25

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)`

Show Worked Solution
`text(Difference)` `= 4128 – (- 85)`
  `= 4213\ text(metres)`

Number, NAP-B3-NC27 SA

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
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`26^@text(C)`

Show Worked Solution

`text(Temperature at the base of the mountain)`

`= – 6 + 32`

`=26^@ text(C)`

Number, NAP-D3-CA15


 

Between 2007 and 2010, the number of people with type II diabetes in America increased by about

 
 `text(0.5 million people.)`
 
 `text(1 million people.)`
 
 `text(1.5 million people.)`
 
 `text(2 million people.)`
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`text(2 million people.)`

Show Worked Solution

`33.21 – 31.16 = 2.05`

`:.\ text(The number increased by about 2 million people.)`

Number, NAP-C4-NC04

A buoy is in the ocean recording the waves passing by.

At sea level it measures 0 m. It moves above and below sea level.

Which list gives four sea level recordings arranged in order lowest to highest?

 
 0 m, −2 m, 4 m,−4 m
 
 −2 m, −5 m, 0 m, 1 m
 
 −5 m, 2 m, −3 m, 0 m
 
 −5 m, −3 m, 0 m, 2 m
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`text(−5m, −3m, 0m, 2m)`

Show Worked Solution

`text(−5 m, −3 m, 0 m, 2 m)`

Number, NAP-E3-CA01

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)`

Show Worked Solution

`{$882.0\ text(million)}/ 8 = $110.25\ text(million)`

Number, NAP-D3-NC07

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`

Show Worked Solution

`$72 ÷ 8 = $9`

`text($9 is the only amount that can be evenly)`

`text(divided into $72 with no remainder.)`

Number, NAP-C3-CA14

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` 

Show Worked Solution

`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.)`

Number, NAP-F3-NC08

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)`

Show Worked Solution
`text(Change in temperature)` `=21-(-4)`
  `=25^@ text(C)`

 

`:.\ text(An increase of  25°C.)`

Number, NAP-H3-CA19 SA

The dog population in five continents can be found in the table below.
 

 
How many more dogs live in Europe than in Africa and South America combined?
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`36\ 345\ 608`

Show Worked Solution

`text(Number of extra dogs)`

`= 59\ 329\ 647 – (9\ 721\ 457 + 13\ 262\ 582)`

`= 36\ 345\ 608`

Number, NAP-I3-CA04 SA

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
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`18`

Show Worked Solution

`text(Number of trees of each type)`

`= 306 ÷ 17`

`= 18\ text(trees)` 

Number, NAP-F4-CA01

A return trip from Brodie's house to the beach is 5.78 kilometres. 

How far does Brodie travel if he does this 14 times?

`8.09\ text(km)` `23.12\ text(km)` `42.12\ text(km)` `69.36\ text(km)` `80.92\ text(km)`
 
 
 
 
 
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`80.92\ text(km)`

Show Worked Solution
`text(Distance)` `= 14 xx 5.78`
  `= 80.92\ text(km)`

Number, NAP-G4-NC07

Brendan has 810 grams of chocolate.

He cuts the chocolate into 9 equal pieces.

How much does each piece weigh?

`text(80 g)` `text(90 g)` `text(100 g)` `text(110 g)`
 
 
 
 
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`text(90 g)` 

Show Worked Solution
`text(Weight of 1 piece)` `=810/9`
  `=90\ text(grams)`

Number, NAP-G4-CA01

In Africa, a national park estimated the population of flamingos was 183 409 in 2021.

Of these, 87 396 were male.

How many female flamingos were there?

`96\ 013` `123\ 586` `212\ 786` `270\ 805`
 
 
 
 
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`96\ 013`

Show Worked Solution

`text(Number of females) = 183\ 409  – 87\ 396 = 96\ 013`