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Number, NAP-L4-CA05

At sunrise the temperature is 4°C.

At midday the temperature is 32°C.

Which one of these calculations can be used to work out how many degrees warmer it is at midday than at sunrise? 

`32 - 4` `32 ÷ 4` `4 - 32` `4 + 32`
 
 
 
 
Show Answers Only

`32 – 4`

Show Worked Solution

`text(Degrees warmer)`

`= 32 – 4`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 6, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

Number, NAP-K4-CA05 SA

Colin lives in Broome where the temperature on a particular day was 46°C.

Colin's son lives in Winnipeg, Canada, and on the same day the temperature there was −16°C.

What was the temperature difference between the two towns on this day?

   °C
Show Answers Only

`62°text(C)`

Show Worked Solution
`text(Temperature difference)` `= 46 – (-16)`
  `= 62°text(C)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

Number, NAP-A4-CA01

At 7 am the temperature in Merewether was 15.9°C.

At midday it was 12.8°C warmer.

At 7 pm it was 13.9°C cooler than at midday.

What was the temperature at 7 pm?

`14.8^@text(C)` `15^@text(C)` `17^@text(C)` `42.6^@text(C)`
 
 
 
 
Show Answers Only

`14.8^@text(C)`

Show Worked Solution

`text(Temperature at 6 pm)`

`= 15.9 + 12.8 – 13.9`

`= 14.8^@text(C)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 6, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

Number, NAP-B4-NC20

Two numbers added together equal 2.

The two numbers multiplied together equal −24.

What are the two numbers?

  and  
Show Answers Only

`6 and −4`

Show Worked Solution
`6 + -4` `= 2`
`6 xx -4` `= -24`

 

`:. 6 and -4`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 8, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

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`
Show Answers Only

`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`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3143-20-Basic operators, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

Number, NAP-B4-CA06

How many more people live in Sandleford than Silby and Karuah combined?

`467\ 137` `422\ 503` `1\ 854\ 761` `1\ 899\ 395`
 
 
 
 
Show Answers Only

`1\ 854\ 761`

Show Worked Solution
`text(Number of people)` `= 2\ 321\ 898 – (444\ 820 + 22\ 317)`
  `= 1\ 854\ 761`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 5, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

Number, NAP-J4-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 + 4` `=`   
?
`12` `=`   
?

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 9, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

Number, NAP-C4-CA15

Jack was given a question without a calculator.
 

`22 - 16 xx sqrt (8.5 + 7.5^­) =`
 

Which operation should Jack perform first?

`22 - 16` `16 xx sqrt (8.5^­)` `sqrt (8.5^­)` `8.5 + 7.5`
 
 
 
 
Show Answers Only

`8.5 + 7.5`

Show Worked Solution

`text(The sum of the numbers under the square root)`

`text(symbol need to be calculated first.)`

`:.\ text(The first operation is  8.5 + 7.5.)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 8, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

Number, NAP-D4-NC23

Lily buys 23 Gold Class tickets to the movies.

The tickets cost $19 each.

Which of the following equations could Lily use to calculate the total cost?

 
`(19 xx 20) + 3`
 
`(19 xx 20) xx 3`
 
`(10 xx 20) + (9 xx 3)`
 
`(19 xx 20) + (19 xx 3)`
Show Answers Only

`(19 xx 20) + (19 xx 3)`

Show Worked Solution

`text(Rewriting the equation,)`

`19 xx 23` `=19 xx (20 + 3)`
  `=(19 xx 20) + (19 xx 3)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 9, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

Number, NAP-C4-NC08

John weighs a small fish he caught in a net.

The net and fish together weighed 634 g.

The net by itself weighs 576 g.

What is the weight of the fish?

`48\ text(g)` `58\ text(g)` `146\ text(g)` `156\ text(g)`
 
 
 
 
Show Answers Only

`text(58 g)`

Show Worked Solution
`text(Weight of fish)` `= 634 – 576`
  `=58\ text(g)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 6, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

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
Show Answers Only

`text(−5m, −3m, 0m, 2m)`

Show Worked Solution

`text(−5 m, −3 m, 0 m, 2 m)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 6, smc-3143-20-Basic operators, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

Number, NAP-D4-NC02

Which of the following changes is the smallest?

 
`−8°text(C  to)\ −4°text(C)`
 
`−5°text(C  to)\ −2°text(C)`
 
`−2°text(C  to)\  3°text(C)`
 
`3°text(C  to)\  7°text(C)`
Show Answers Only

`−5^@\ text(C to)\ −2^@text(C)`

Show Worked Solution

`text(Consider each option:)`

`text(– 8  to  – 4)` `=\ text(4° change)`
`text(– 5  to  – 2)` `=\ text(3° change)`
`text(– 2  to  3)` `=\ text(5° change)`
`text(3  to  7)` `=\ text(4° change)`

 

`:.\ −5^@\ text(C to)\ −2^@text(C is the smallest change.)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 6, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

Number, NAP-E4-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 6, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

Number, NAP-E4-NC28 SA

Write the answer to this division in the box.

`11.66 ÷ 0.11 =`  
Show Answers Only

`106`

Show Worked Solution

`text(One strategy:)`

`11/0.11` `= 100`
`0.66/0.11` `= 6`
`:. 11.66/0.11` `= 100 + 6`
  `= 106`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations, Fractions and Decimals, Fractions and Decimals Tagged With: Band 10, smc-3173-20-Basic Operators, smc-3175-60-Decimal calculations, smc-663-60-Decimal calculations, smc-890-20-Basic Operators

Number, NAP-F4-NC05

`8 xx (4 + 3)` 
  
 `7 xx 5 + 3`

Which symbol `( <, = , >)` makes the number sentence correct?

`<` `=` `>`
 
 
 
Show Answers Only

`>`

Show Worked Solution
`8 xx (4+3)` `> 7 xx 5+3`
`8xx7` `>35+3`
`56` `>38`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

Number, NAP-F4-NC04

Nigella placed a leg of lamb into her oven in the morning.

The 1st measurement of the lamb's temperature was  −6°C.

Fifteen minutes later, a second temperature reading was taken, which measured  16°C.

What was the change in temperature between the two measurements?

`text(decrease of)\ 22^@text(C)` `text(decrease of)\ 10^@text(C)` `text(increase of)\ 10^@text(C)` `text(increase of)\ 22^@text(C)`
 
 
 
 
Show Answers Only

`text(increase of)\  22^@text(C)`

Show Worked Solution
`text(Change in temperature)` `=16-(-6)`
  `=22^@ text(C)`

 

`:.\ text(An increase of  22°C.)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 6, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

Number, NAP-F4-CA04

The first three days of the Brisbane cricket test had the following attendances:

\begin{array} {|l|c|}
\hline
\rule{0pt}{2.5ex}\text{Day 1}\rule[-1ex]{0pt}{0pt} & 20\ 156\\
\hline
\rule{0pt}{2.5ex}\text{Day 2}\rule[-1ex]{0pt}{0pt} & 18\ 397\\
\hline
\rule{0pt}{2.5ex}\text{Day 3}\rule[-1ex]{0pt}{0pt} & 29\ 981\\
\hline
\end{array}

What was the total crowd over the first 3 days, to the nearest `1000?`

`68\ 000` `69\ 000` `70\ 000` `71\ 000`
 
 
 
 
Show Answers Only

`69\ 000\ text{(nearest 1000)}`

Show Worked Solution

`20\ 156 + 18\ 397 + 29\ 981`

`= 68\ 534`

`= 69\ 000\ text{(nearest 1000)}`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 6, smc-3173-20-Basic Operators, smc-3173-60-Rounding, smc-890-20-Basic Operators, smc-890-60-Rounding

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)`
 
 
 
 
Show Answers Only

`text(90 g)` 

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

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3143-20-Basic operators, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

Number, NAP-H4-NC14

Freya and Eloise were playing a game where they both started with zero points.

Freya's final score was 320 points and Eloise's final score was  − 80.

How many more points did Freya have than Eloise?

`−400` `−240` `240` `400`
 
 
 
 
Show Answers Only

`400`

Show Worked Solution
`text(Difference)` `= 320 – (−80)`
  `= 400`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

Number, NAP-I4-NC26

Bobby wants to multiply  `25 xx 44`.

Which of these expressions will give Bobby the correct answer?

 
`(20 xx 40) + (5 xx 4)`
 
`(20 xx 4) + (40 xx 5)`
 
`(20 xx 44) + (5 xx 44)`
 
`(20 xx 40) + (20 xx 4) + (40 xx 5)`
Show Answers Only

`(20 xx 44) + (5 xx 44)`

Show Worked Solution

`25 xx 44 = (20 xx 44) + (5 xx 44)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 10, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

Number, NAP-H4-CA15 SA

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

    naplan-2015-15mc

 
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 Tagged With: Band 8, smc-3173-20-Basic Operators, smc-3190-20-Table data, smc-681-20-Table data, smc-890-20-Basic Operators

Number, NAP-I4-CA04

What is the value of the expression  `3 + (-13) - (-6)?`

`-16` `-4` `18` `26`
 
 
 
 
Show Answers Only

`-4`

Show Worked Solution
`3 + (-13) – (-6)` `= -10 + 6`
  `= -4`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

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