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Number, NAP-L3-NC06 SA

Mount Kosciusko is 2228 metres high.

Mount Daligo is 1247 metres high.

How many metres higher is Mount Kosciusko than Mount Daligo?

 
  metres
Show Answers Only

`981`

Show Worked Solution
`text(Metres higher)` `= 2228 – 1247`
  `= 981`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 8, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-L3-NC02 SA

Lola has 52 identical tiles.

She uses some of them to make the pattern shown below.

Each pattern needs 6 tiles.

How many complete patterns can Lola make?

 
Show Answers Only

`8`

Show Worked Solution

`52 ÷ 6 = 8\ text(remainder 4)`

`:. 8\ text(complete patterns can be made).`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3143-20-Basic operators, smc-676-20-Basic operators

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`
 
 
 
 
Show Answers Only

`66`

Show Worked Solution

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

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

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 4, smc-3143-20-Basic operators, smc-676-20-Basic operators

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
Show Answers Only

`270`

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

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 6, smc-3143-20-Basic operators, smc-676-20-Basic operators

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
Show Answers Only

`54°text(C)`

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

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-A3-NC10 SA

What is the missing number?

`3 xx ` `= 6 xx 4`
Show Answers Only

`8`

Show Worked Solution
`3 xx `
 
`= 6 xx 4`
 
 
`= (6 xx 4)/3`
 
 
`= 8`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 6, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-J3-NC06

`8 + (17 - 5 xx 3 + 2) =` 
?
What number does  
?
  represent?
`62` `46` `12` `0`
 
 
 
 
Show Answers Only

`12`

Show Worked Solution
`8 + (17 – 5 xx 3 + 2)` `=`   
?
`8 + (17-15+2)` `=`   
?
`8 + 4` `=`   
?
`12` `=`   
?

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 9, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-J3-CA27

Which number sentence is correct when    = 8

 
12 ×    = 96 ÷ 
 
7 ×    = 448 ÷ 
 
5 ×    = 384 ÷ 
 
3 ×   = 24 ÷ 

Show Answers Only

`7 xx 8 = 448 ÷ 8`

Show Worked Solution
`7 xx 8` ` = 448 ÷ 8`
`56` `=56`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 9, smc-3143-20-Basic operators, smc-676-20-Basic operators

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
 
 
 
 
Show Answers Only

`4213\ text(metres)`

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

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 8, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-J3-CA24

Warwick needs to calculate  `13 xx 6 + 13 × 4`.

Which expression will give Warwick the same answer?

 
`13 xx (6 + 4)`
 
`13 xx (6 + 13)`
 
`(13 xx 2) + (6 xx 4)`
 
`(13 xx 2) + (6 + 4)`
Show Answers Only

`13 xx (6 + 4)`

Show Worked Solution

`13 xx 6 + 13 xx 4`

`= 13 xx (6 + 4)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 8, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-J4-NC03 SA

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?

Show Answers Only

`text(8 cartons)`

Show Worked Solution

`90 ÷ 12 = 7\ text(remainder 6)`

`:.\ text(Sharnie need 8 cartons.)`

Filed Under: Basic Concepts and Calculations Tagged With: Band 8, smc-676-20-Basic operators

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
Show Answers Only

`26^@text(C)`

Show Worked Solution

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

`= – 6 + 32`

`=26^@ text(C)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 9, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-B3-CA03

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`
 
 
 
 
Show Answers Only

`208`

Show Worked Solution

`1996 – 1788 = 208`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 5, smc-3143-20-Basic operators, smc-676-20-Basic operators

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.)`
Show Answers Only

`text(2 million people.)`

Show Worked Solution

`33.21 – 31.16 = 2.05`

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

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 6, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-D3-CA04

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`
 
 
 
 
Show Answers Only

`1013`

Show Worked Solution

`4321 – 3308 = 1013`

Filed Under: Basic Concepts and Calculations Tagged With: Band 5, smc-676-20-Basic operators

Number, NAP-D3-NC27

`17 xx (68 - 13)` has the same value as

 
`(17 xx 68) - 13`
 
`(17 xx 68) - (13 xx 68)`
 
`17 xx (68 - 17 xx 13)`
 
`(17 xx 68) - (17 xx 13)`
Show Answers Only

`(17 xx 68) – (17 xx 13)`

Show Worked Solution

`text(Expanding the brackets:)`

`17 xx (68 – 13) = (17 xx 68) – (17 xx 13)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 9, smc-3143-20-Basic operators, smc-676-20-Basic operators

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)`
 
 
 
 
Show Answers Only

`$110.25\ text(million)`

Show Worked Solution

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

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 5, smc-3143-20-Basic operators, smc-676-20-Basic operators

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`
 
 
 
 
Show Answers Only

`$9`

Show Worked Solution

`$72 ÷ 8 = $9`

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

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

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 5, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-D3-NC03

Shelley multiplied 72 by 42 on her calculator.

The answer shown was 3024.

Shelley then pressed four more buttons.

The answer shown was now 42.

Which four buttons could Shelley have pressed to get 42?

 
 
 
 
Show Answers Only

Show Worked Solution

`3024 ÷ 72 = 42`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 5, smc-3143-20-Basic operators, smc-676-20-Basic operators

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`
 
 
 
 
Show Answers Only

`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.)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-E3-NC02

Which number sentence is correct when 7 is placed in the box?

`17 + `
 
`= 10`
 
 `- 8 = 1` `10 -`
 
`= 3` `12 + 5 =` 
 
 
 
 
 

 

Show Answers Only

`10 – 7 = 3`

Show Worked Solution

`10 – 7 = 3`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 4, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-F3-CA01

  
 
How many more people lived in the State of Queensland than in the city of Brisbane in April 2010?

 
`2\ 381\ 600`
 
`2\ 428\ 600`
 
`2\ 831\ 600`
 
`3\ 381\ 600`
Show Answers Only

`2\ 381\ 600` 

Show Worked Solution

`4\ 691\ 200 – 2\ 309\ 600`

`= 2\ 381\ 600`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 5, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-F3-NC09

Which of these has the same value as  `98 xx 2 + 5`?

`200 + 1` `98 + 103` `100 xx 2 + 9` `98 xx 7`
 
 
 
 
Show Answers Only

`200 + 1`

Show Worked Solution
`98 xx 2 + 5` `=(98 xx2) + (2 xx 2) + 5 – (2 xx2)`
  `=(100 xx 2) + 5-4`
  `=200 + 1`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3143-20-Basic operators, smc-676-20-Basic operators

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
 
 
 
 
Show Answers Only

`text(increase of)\  25^@text(C)`

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

 

`:.\ text(An increase of  25°C.)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 6, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-G3-NC17

Which of these values below makes this number sentence true?

`4 xx`  
 
  `> 28`
`5` `6` `7` `8`
 
 
 
 
Show Answers Only

`8`

Show Worked Solution

`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.)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-G3-NC04

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`
 
 
 
 
Show Answers Only

`8`

Show Worked Solution

`text(Cartons required)`

`=100/12`

`= 8 4/12`
 

`:.\ text(Zoe can pack 8 full cartons.)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 5, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-G3-CA01

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`
 
 
 
 
Show Answers Only

`138\ 576`

Show Worked Solution

`text(Number of girls) = 288\ 701  – 150\ 125 = 138\ 576`

Filed Under: Basic Concepts and Calculations Tagged With: Band 4, smc-676-20-Basic operators

Number, NAP-H3-NC30

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`
 
 
 
 
Show Answers Only

`40 + 2 xx 30`

Show Worked Solution

`40 + 2 xx 30`

`= 40 + 60`

`= 100`

`!= 42 xx 30`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 10, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-H3-NC12

The second world war finished in 1945.

Approximately how many years ago did it finish?

`60` `70` `80` `90`
 
 
 
 
Show Answers Only

`80`

Show Worked Solution

`text(1945 plus 80 years is 2025.)`

`=>\ text(The closest approximation is 80 years.)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 6, smc-3143-20-Basic operators, smc-676-20-Basic operators

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?

Show Answers Only

`36\ 345\ 608`

Show Worked Solution

`text(Number of extra dogs)`

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

`= 36\ 345\ 608`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations, Data and Interpretation, Data and Statistics (7) Tagged With: Band 7, smc-3143-20-Basic operators, smc-3166-20-Table data, smc-674-20-Table data, smc-676-20-Basic operators

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
Show Answers Only

`18`

Show Worked Solution

`text(Number of trees of each type)`

`= 306 ÷ 17`

`= 18\ text(trees)` 

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 5, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-C3-NC16 SA

Write a number in the box to make this number sentence correct.

`18 + 24 >` `+ 4`
Show Answers Only

`text{(Any number < 38)}\ + 4`

Show Worked Solution
`18+24` `=18+20+4`
  `=38+4`
`:.18+24` `> text{(Any number < 38)}\ + 4`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-C3-NC09

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`
 
 
 
 
Show Answers Only

`1 ÷ 789`

Show Worked Solution

`text(Considering each option:)`

`789 xx 1=789`

`1 xx 789=789`

`789÷1=789`

`1 ÷ 789=0.00126…`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-C3-NC05

John wants to find the answer to `2998 + 1567`.

Which of the following shows a way to get the same answer?

 
`3000 + 1566`
 
`3000 + 1565`
 
`3004 + 1500`
 
`3004 + 1600`
Show Answers Only

`3000 + 1565`

Show Worked Solution

`text(By adding and subtracting 2:)`

`2998+1567` `=2998+2+1567-2`
  `=3000 + 1565`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 6, smc-3143-20-Basic operators, smc-676-20-Basic operators

Number, NAP-C3-NC02

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`
 
 
 
 
Show Answers Only

`252`

Show Worked Solution
`text(Strikers supporters)` `= 475-223`
  `=252`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 5, smc-3143-20-Basic operators, smc-676-20-Basic operators

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