The weather bureau publishes the weekday maximum temperatures in the table below.
How much warmer was it on Thursday than on Monday?

°C 
Aussie Maths Teachers: Save your time with SmarterMaths
The weather bureau publishes the weekday maximum temperatures in the table below.
How much warmer was it on Thursday than on Monday?

°C 
`3.7`
`text(Degrees warmer)`  `= 26.4  22.7` 
`= 3.7` 
Bert, Gary and Miles are weighing themselves.
Bert weighs 48.65 kilograms.
Gary weighs 0.3 kilograms more than Bert.
Miles weighs 0.75 kilograms less than Bert.
How many kilograms do the three boys weigh altogether?
kilograms 
`text(145.5 kg)`
`text(Bert's weight = 48.65 kg)`
`text(Gary's weight = 48.65 + 0.3 = 48.95 kg)`
`text(Miles' weight = 48.65 − 0.75 = 47.9 kg)`
`:.\ text(Total weight)`  `= 48.65 + 48.95 + 47.9` 
`= 145.5\ text(kg)` 
The table below compares the approximate populations of two countries.
Approximately how many more people live in Cuba than in Benin?
37 900  47 900  379 000  479 000 




`379\ 000`
`text(Extra people living in Cuba)`
`=11.475 xx 10^6  11.096 xx 10^6`
`= 11\ 475\ 000  11\ 096\ 000`
`= 379\ 000`
A stack of cardboard poster is 7.8 centimetres thick.
Each poster is 0.03 centimetres thick.
How many posters are in the stack?
sheets 
`260`
`text(Number of posters)`  `= 7.8/0.03` 
`= 260` 
Vivian and Curtly throw a cricket ball from the boundary of the cricket oval to the wicketkeeper.
It takes Vivian's throw 3.48 seconds to reach the wicketkeeper.
It takes Curtly's throw 1.84 seconds.
What is the difference in the time taken to reach the wicketkeeper between the two throws?
seconds 
`1.64\ text(seconds)`
`text(Time Difference)`  `= 3.48  1.84` 
`= 3.48 + (0.16  2)`  
`= 1.64\ text(seconds)` 
Jane has two 4litre cans of paint.
She divides the paint up equally between her 32 art students.
How much paint will each student receive?
Write you answer as a decimal.
litres 
`0.25`
`text(Total paint)`  `= 2 xx 4` 
`= 8\ text(litres)` 
`text(Paint per student)`  `= 8/32` 
`= 0.25\ text(litres)` 
A high school has 1000 students enrolled.
37 of the 1000 students have the first name John.
Write this as a decimal.
`0.037`
`37/1000 = 0.037`
Richard is a runner.
The length of his last 4 half marathons are recorded in the table below.
Which half marathon had the shortest distance?
`1`  `2`  `3`  `4` 




`text(half marathon 3)`
`20.295\ text(is the shortest distance.)`
`:.\ text(Half marathon 3 was the shortest.)`
Jamie buys a 200 gram bag of pumpkin seeds at the market for making muesli.
Each pumpkin seed has a mass of 0.19 grams.
Which of these is the best estimate for the number of seeds in the 200 gram bag?
`100`  `500`  `1000`  `5000` 




`1000`
`text(Mass of 10 seeds = 1.90 g)`
`text(Mass of 100 seeds = 19 g)`
`text(Mass of 1000 seeds = 190 g)`
`:. 1000\ text(is the best estimate.)`
Roger had tests to check his health that are summarised in the table below.
For which tests were Roger's results within the normal range?

resting heart rate and blood sugar 

blood sugar and vitamin C only 

resting heart rate only 

resting heart rate and vitamin C only 
`text(resting heart rate and vitamin C only)`
`text(Checking each test:)`
`text(92 is within 60 and 95)`
`text(4.1 is not within 4.2 and 6.1)`
`text(0.5 is within 0.4 and 1.7)`
`:.\ text(Resting heart rate and vitamin C only)`
`text(are within the normal range.)`
Michael places his business cards in a stack that has a height of 151.2 mm.
Each business card has a thickness of 1.8 mm.
How many business cards are in the stack?
`84`  `151`  `153`  `180` 




`84`
`text(Cards in the stack)`
`= 151.2/1.8`
`= 84`
A mixture requires an amount of salt to be added.
No more than 0.75 grams of salt is allowed in the mixture.
Which amount below is the heaviest mass of salt that can be added?
`text(0.55 grams)`  `text(0.6 grams)`  `text(0.8 grams)`  `text(1.5 grams)`  `text(6 grams)` 





`0.6\ text(grams)`
`text(0.8 grams, 1.5 grams and 6 grams are all > 0.75 grams.)`
`text(0.6 grams > 0.55 grams and less than 0.75 grams.)`
`:.\ text(0.6 grams is the heaviest mass.)`
4 groups of backpackers picked blueberries over two hours.
The weight of the blueberries collected (in kg) by the groups in each hour is shown in the table below.
Which group picked the greatest mass over the two hours?
`text(Group 1)`  `text(Group 2)`  `text(Group 3)`  `text(Group 4)` 




`text(Group 3: 5.42 kg)`
`text(A possible strategy:)`
`text(A quick estimate of the 1st 2 options shows that)`
`text(that both sums will be lower than 5 kg.)`
`=>\ text(Evaluate only the last 2 options:)`
`text(Group 3:)\ \ 2.5 + 2.92 = 5.42\ text(kg)`
`text(Group 4:)\ \ 2.87 + 2.53 = 5.40\ text(kg)`
`:.\ text(Group 3 picked the greatest mass.)`
Onions cost $3 per kilogram.
Peter buys 3.35 kilograms of onions.
How much does Peter pay for the onions?
$ 
`$10.05`
`text(C)text(ost of 3 kg) = 3 xx $3 = $9`
`text(C)text(ost of 0.1 kg) = 3/10 = text(30 cents)`
`=>\ text(C)text(ost of 0.35 kg)`  `= 3.5 × 30\ text(cents)` 
`= $1.05` 
`:.\ text(C)text(ost of 3.35 kg)`  `= 9 + 1.05` 
`= $10.05` 