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` 
Kelly measures the length of fish she catches for her research.
Which fish has a length closest to 25 cm?




`25.14\ text(cm)`
`text(Difference of each option:)`
`25.14  25`  `= 0.14\ text(cm)` 
`25  24.8`  `= 0.20\ text(cm)` 
`25  24.76`  `= 0.24\ text(cm)` 
`25.3  25`  `= 0.30\ text(cm)` 
`:. 25.14\ text(cm is closest.)`
A hot air balloon is 25.2 metres high.
The length of the balloon section is 21.55 metres.
What is the height of the basket section?
`text(3.65 metres)`  `text(3.75 metres)`  `text(4.55 metres)`  `text(4.65 metres)` 




`text(3.65 metres)`
`text(Let)\ \ h =\ text(height of basket section)`
`h + 21.55`  `= 25.2` 
`:. h`  `= 25.2  21.55` 
`= 25.2  22 + 0.45`  
`= 3.65` 
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`
Which number is greater than 0.05?
0.2  0.007  0.04  0.0076 




`0.2`
`text(Numbers in descending order are:)`
`0.20`
`0.05`
`0.04`
`0.0076`
`0.0070`
`=> 0.2\ text(is greater than 0.05)`
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` 
What is the answer to `8.8 ÷ 0.4`?
0.022  0.22  2.2  22 




`22`
`8.8 ÷ 0.4`  `= 88 ÷ 4` 
`=22` 
Which of these numbers has a 3 in the thousandths place?
0.3244  2.8309  7.8231  23 082.8915 




`7.8231`
`text{The digits to the right of the decimal place are (in order):}`
`text(tenths, hundredths, thousandths, ...)`
`:.\ text(The correct number is 7.8231.)`
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`
Four students did a standing long jump and the results were recorded.
Which student had the longest jump?
Leigh 2.01 m  Sam 0.70 m  Job 0.80 m  Ronan 1.05 m 




`text(Leigh 2.01 m)`
`text(Leigh 2.01 m)`
What number will make this number sentence true?
`2.48 + 3.72 =`  `+ 2.50` 
`3.7`
`(2.48 + 3.72)  2.50 = 3.7`
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.)`
What number makes this number sentence correct?
`1.3 xx` 

`= 5.46` 
`4.2`  `4.22`  `6.76`  `7.098` 




`4.2`
`1.3 xx` 

`= 5.46` 

`= 5.46/1.3`  
`= 4.2` 
`3.85 ÷ 3.5 =`
`1.1`
`text(One strategy:)`
`3.85 ÷ 3.5`  `=(3.5 + 0.35) ÷ 3.5` 
`=3.5/3.5 + 0.35/3.5`  
`=1 + 0.1`  
`=1.1` 
`(2.64 + 9.24)/2.64 =` 
`4.5`
`(2.64 + 9.24)/2.64`  `= 11.88/2.64` 
`= 4.5` 
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.)`
Which number is missing from this number sentence?
`(162.4  12.1) xx` 

`= 608.715` 
`3.82`  `4.05`  `36.89`  `63.73` 




`4.05`
`(162.4  12.1) xx N`  `= 608.715` 
`150.3 xx N`  `= 608.715` 
`N`  `= 608.715/150.3` 
`= 4.05` 
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`
The results from 400 metres running race final was recorded in the table below.
The time of the runner who came in 3rd place could be

`text(52.57 seconds.)` 

`text(52.71 seconds.)` 

`text(53.21 seconds.)` 

`text(53.94 seconds.)` 
`text(52.71 seconds)`
`text{52.71 is slower than 2nd place (52.62)}`
`text{but faster than 4th place (53.19).}`
The correct answer to this number sentence `202 xx 0.1` is?

less than 202 

equal to 202 

greater than 202 
`text(less than 202)`
`202 xx 0.1= 20.2`
`=>\ text(less than 202)`
Which number will complete this number sentence correctly?
`1.5 =` 

`xx 3.5` 
`3/7`  `3/5`  `2 1/3`  `5 1/4` 




`3/7`
`1.5`  `= n xx 3.5` 
`3/2`  `=n xx 7/2` 
`n`  `=3/2 : 7/2` 
`=3/2 xx 2/7`  
`=3/7` 
`122.7 + 46.5 =` 

`158.2`  `159.2`  `168.2`  `169.2`  `587.7` 





`169.2`
`122.7 + 46.5 = 169.2`
The number 0.67 is between

`0.06 and 0.6` 

`0.6 and 1` 

`6 and 7` 

`60 and 70` 
`0.6 and 1`
`0.6 and 1`
`22.5 ÷`  `= 2.25` 
`10`
`22.5 ÷ 10`  `=22.5/10` 
`=2.25` 
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.)`
The fraction `3/8` equals 0.375 as a decimal.
What does `3/16` equal as a decimal?
`0.1875`
`3/16`  `= 3/8 xx 1/2` 
`= 0.375 ÷ 2`  
`= 0.1875` 
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.)`
Which of the following lists the numbers in increasing order?

`text(65%), 0.7, 0.72, 3/4` 

`3/4, 0.7, text(65%), 0.72` 

`text(65%), 3/4, 0.7, 0.72` 

`3/4, 0.72, 0.7, text(65%)` 
`text(65%), 0.7, 0.72, 3/4`
`text(Convert to decimals:)`
`65text(%) = 0.65`
`3/4 = 0.75`
`:.\ text(Ascending order is)`
`text(65%), 0.7, 0.72, 3/4`
Nigella had 1 kilogram of chocolate.
She used `3/4` kilogram in a cake recipe.
How much chocolate did Nigella have left?
`0.75\ text(kg)`  `0.70\ text(kg)`  `0.33\ text(kg)`  `0.25\ text(kg)` 




`0.25\ text(kg)`
`text(Chocolate left)`  `=1  3/4` 
`= 1/4`  
`= 0.25\ text(kg)` 
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` 
`28.3 xx 10 =`
`2830`  `2803`  `28.30`  `283` 




`283`
`283`
`text(When multiplying by 10, move the decimal)`
`text(point 1 position to the right.)`
A flea can jump up to 300 times its body length.
The flea's body length is 1.5 mm.
What is the maximum distance the flea can jump?
`4.5\ text(mm)`  `45\ text(mm)`  `450\ text(mm)`  `4500\ text(mm)` 




`text(450 mm)`
`text(Distance)`  `=300 xx 1.5` 
`=450\ text(mm)` 
Michelle purchased the 4 items pictured below at the supermarket.
The total mass of Michelle's items is closest to
`4\ text(kg)`  `5\ text(kg)`  `8\ text(kg)`  `9\ text(kg)` 




`text(4 kg)`
`text(Total mass)`  `=0.2+1+0.250+3` 
`=4.450\ text(kg)` 
`:.\ text(Closest mass is 4 kg.)`