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` |
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Aussie Maths & Science Teachers: Save your time with SmarterEd
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` |
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`32 – 4`
`text(Degrees warmer)`
`= 32 – 4`
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 |
`62°text(C)`
`text(Temperature difference)` | `= 46 – (-16)` |
`= 62°text(C)` |
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)` |
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`14.8^@text(C)`
`text(Temperature at 6 pm)`
`= 15.9 + 12.8 – 13.9`
`= 14.8^@text(C)`
Two numbers added together equal 2.
The two numbers multiplied together equal −24.
What are the two numbers?
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`6 and −4`
`6 + -4` | `= 2` |
`6 xx -4` | `= -24` |
`:. 6 and -4`
Which is the best estimate for `26 xx 14 + 77 - 32`?
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`20 xx 10 + 70 - 30` |
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`20 xx 10 + 80 - 30` |
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`30 xx 10 + 80 - 30` |
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`30 xx 20 + 80 - 40` |
`30 xx 10 + 80 – 30`
`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`
`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 + 4` | `=` |
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`12` | `=` |
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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` |
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`8.5 + 7.5`
`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.)`
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?
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`(19 xx 20) + 3` |
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`(19 xx 20) xx 3` |
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`(10 xx 20) + (9 xx 3)` |
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`(19 xx 20) + (19 xx 3)` |
`(19 xx 20) + (19 xx 3)`
`text(Rewriting the equation,)`
`19 xx 23` | `=19 xx (20 + 3)` |
`=(19 xx 20) + (19 xx 3)` |
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)` |
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`text(58 g)`
`text(Weight of fish)` | `= 634 – 576` |
`=58\ text(g)` |
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?
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0 m, −2 m, 4 m,−4 m |
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−2 m, −5 m, 0 m, 1 m |
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−5 m, 2 m, −3 m, 0 m |
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−5 m, −3 m, 0 m, 2 m |
`text(−5m, −3m, 0m, 2m)`
`text(−5 m, −3 m, 0 m, 2 m)`
Which of the following changes is the smallest?
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`−8°text(C to)\ −4°text(C)` |
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`−5°text(C to)\ −2°text(C)` |
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`−2°text(C to)\ 3°text(C)` |
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`3°text(C to)\ 7°text(C)` |
`−5^@\ text(C to)\ −2^@text(C)`
`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.)`
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)`
Write the answer to this division in the box.
`11.66 ÷ 0.11 =` |
`106`
`text(One strategy:)`
`11/0.11` | `= 100` |
`0.66/0.11` | `= 6` |
`:. 11.66/0.11` | `= 100 + 6` |
`= 106` |
`8 xx (4 + 3)` |
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`7 xx 5 + 3` |
Which symbol `( <, = , >)` makes the number sentence correct?
`<` | `=` | `>` |
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`>`
`8 xx (4+3)` | `> 7 xx 5+3` |
`8xx7` | `>35+3` |
`56` | `>38` |
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)` |
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`text(increase of)\ 22^@text(C)`
`text(Change in temperature)` | `=16-(-6)` |
`=22^@ text(C)` |
`:.\ text(An increase of 22°C.)`
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\\
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\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` |
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`69\ 000\ text{(nearest 1000)}`
`20\ 156 + 18\ 397 + 29\ 981`
`= 68\ 534`
`= 69\ 000\ text{(nearest 1000)}`
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)`
`text(Weight of 1 piece)` | `=810/9` |
`=90\ text(grams)` |
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` |
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`400`
`text(Difference)` | `= 320 – (−80)` |
`= 400` |
Bobby wants to multiply `25 xx 44`.
Which of these expressions will give Bobby the correct answer?
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`(20 xx 40) + (5 xx 4)` |
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`(20 xx 4) + (40 xx 5)` |
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`(20 xx 44) + (5 xx 44)` |
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`(20 xx 40) + (20 xx 4) + (40 xx 5)` |
`(20 xx 44) + (5 xx 44)`
`25 xx 44 = (20 xx 44) + (5 xx 44)`
What is the value of the expression `3 + (-13) - (-6)?`
`-16` | `-4` | `18` | `26` |
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`-4`
`3 + (-13) – (-6)` | `= -10 + 6` |
`= -4` |