Adam and Kenneth bought a bike together that cost $150.
Adam paid twice as much money as Kenneth.
How much money did Kenneth paid?

$50 

$75 

$100 

$120 
Aussie Maths Teachers: Save your time with SmarterMaths
Adam and Kenneth bought a bike together that cost $150.
Adam paid twice as much money as Kenneth.
How much money did Kenneth paid?

$50 

$75 

$100 

$120 
`$50`
`text(Strategy 1)`
`text{Let} \ \ x = text{money paid by Kenneth}`
`text{Let} \ \ 2 x = text{money paid by Adam}`
`x + 2x`  `=150`  
`3x`  `=150`  
`x`  `=50` 
`:.\ text(Kenneth paid $50).`
`text(Strategy 2)`
`text{Check each option:}`
`2(50) + 50 = 150 \ text{(Correct)}`
`2(75) + 75 = 225 \ text{(Incorrect)}`
`2(100) + 100 = 300 \ text{(Incorrect)}`
`2(120) + 120 = 360 \ text{(Incorrect)}`
Jason bought 325 eggs from the market.
When he was driving home, he had an accident and some of the eggs broke.
He counted that there were 241 eggs without any cracks.
How many eggs broke?
`text(84 eggs)`
`text(Number of broken eggs)`  `= 325  241` 
`= 84` 
Dorothy buys 4 water bottles for $1.10 each.
She pays for these water bottles with a $10 note.
How much change should Dorothy receive?
`$3.80`  `$4.40`  `$5.60`  `$6.60` 




`$5.60`
`text(Change)`  `= $10  (4 xx $1.10)` 
`= $10  $4.40`  
`= $5.60` 
This table shows the prices of different kinds of nuts sold at a farmers' market.
Which one of these are the most expensive nuts per kilogram?
peanuts  cashews  hazelnuts  walnuts 




`text(Cashews)`
`text(Consider each option:)`
`$1.50\ text(for 200 g = 5 × 1.50 = $7.50 per kg)`
`$3.60\ text(for 500 g = 2 × 3.60 = $7.20 per kg)`
`$7.60\ text(for 1 kg)`
`$1.75\ text(for 250 g = 4 × 1.75 = $7.00 per kg)`
`:.\ text(Hazelnuts are the most expensive.)`
A netball game had a crowd of 2000 fans.
One quarter of the fans supported the home team.
How many fans did not support the home team?
`1500`
`text(Fans not supporting the home team)`
`= 3/4 xx 2000`
`= 1500`
Nug had a $10 note only.
At the service station, he bought 6 sherbert cones that cost $0.80 each.
How much change should he get?
`$4.40`  `$4.80`  `$5.20`  `$5.60` 




`$5.20`
`text(Change)`  `= 10  (6 xx 0.80)` 
`= 10  4.80`  
`= $5.20` 
`7 xx` 

`= 91` 
What number makes the above number sentence correct?
`13`  `23`  `84`  `637` 




`13`
`text(Let)\ \ n=\ ` 

`7 xx n`  `= 91` 
`:. n`  `= 91/7` 
`= 13` 
Monty wants to buy some cricket equipment.
The sports shop's prices of the equipment he wants is listed in the table below.
Monty buys all 4 items.
Which of these gives the correct range for the total cost of this equipment?
`$175  $200`  `$200  $225`  `$225  $250`  `$250  $275` 




`$250  $275`
`text(One strategy for estimating:)`
`$32.60 + $51.95 ~~ $33 + 52 ~~ $85`
`$38.60 + $129.50 ~~ $40 + 130 ~~ $170`
`text(Estimate)`  `~~ 85 + 170` 
`~~ $255` 
`:.\ text(Range is:)\ \ $250  $275`
Zappa has 24 guitars and decides to sell `1/3` of them.
How many guitars does he sell?
`3`  `6`  `7`  `8` 




`8`
`1/3 xx 24 = 8`
Cinder grows large pumpkins in her garden.
One pumpkin she picks weighs 2.4 kg.
Cinder cuts 400 grams off the pumpkin to cook with.
What fraction was used for cooking?
`1/6`  `1/5`  `1/4`  `1/3` 




`1/6`
`text(Fraction)`  `= 400/2400` 
`= 1/6` 
Laken measures the height of his basketball hoop to be 3 metres and 16 centimetres .
Which answer below shows how Laken can also write this measurement in metres?
3.016 m  3.1 m  3.16 m  4.016 m 




`text(3.16 m)`
`text(There are 100 cm in 1 metre.)`
`:.\ text(3 m 16 cm = 3.16 metres)`
Crystal is making red cordial for her daughter's birthday party. She needs to add 280 millilitres of concentrate to every 2 liters of water.
If Crystal only has 0.5 litres of water left, how many millilitres of concentrate should she add?
14 mL  70 mL  140 mL  280 mL  560 mL 





`70\ text(mL)`
`text(Given)\ \ 280\ text(mL)`  `=> 2\ text(litres)` 
`140\ text(mL)`  `=> 1\ text(litre)` 
`70\ text(mL)`  `=> 0.5\ text(litre)` 