Kate saved twice as much money as Patrick.
If they saved a total of $42 between them, how much did Kate save?
`$14`  `$24`  `$28`  `$126` 




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Kate saved twice as much money as Patrick.
If they saved a total of $42 between them, how much did Kate save?
`$14`  `$24`  `$28`  `$126` 




`$28`
`text(Strategy 1)`
`text(Ratio)`
`text{Kate : Patrick = 2 : 1 (3 parts)}`
`text(1 part) = $42:3=$14`
`:.\ text(Kate's savings = 2 × $14 = $28)`
`text(Strategy 2)`
`text(Let)\ \ $x = text(Amount Patrick saved)`
`2x + x`  `= 42` 
`x`  `= $14` 
`:.\ text(Kate saved $28.)`
A bag contains 10 coloured marbles.
Sarah picks 3 marbles out of the bag at the same time.
Which of the following results is impossible?

3 pink marbles. 

2 red marbles and 1 green marble. 

2 blue marbles and 1 green marble. 

3 red marbles. 
`text(3 red marbles.)`
`text(3 red marbles since there is only 2 red marbles)`
`text{in the bag}`
A shape, pictured below, is made up of 6 equilateral triangles.
What is the perimeter of the shape?
12 cm  20 cm  24 cm  36 cm 




`24\ text(cm)`
`text(S)text(ince all sides of an equilateral triangle are equal,)`
`text(Perimeter)\ = 6 xx 4 = 24\ text(cm)`
Andy Collected data on 4 of his friends and recorded the results in the table below.
How did Andy order his data?
`text(by age)`  `text(by weight)`  `text(name)`  `text(by height)` 




`text(Data is ordered by height.)`
`text(The data on height is arranged from shortest to tallest.)`
`:.\ text(Data is ordered by height.)`
A survey was conducted that asked children if they were left or right handed and if they played cricket.
The results are shown in the table below.

3 

18 

27 

30 

33 
How many children are righthanded and don't play cricket?
`33`
`33 \ text{children}`
Stix wants to make 6 possum pies.
Each pie needs 5 potatoes. He has no potatoes so he goes to the shop.
The shop sells potatoes in bags of 12.
How many bags does Stix need to buy?
`2`  `3`  `4`  `5` 




`3`
`text(Number of potatoes needed)`
`= 6 xx 5`
`= 30`
`:.\ text(Number of bags needed)`
`= 30 ÷ 12`
`= 2\ text(remainder 6)`
`= 3`
Tigers sleep for an average of 15 hours each day.
What fraction of the day is an average tiger awake?
`9/15`  `24/15`  `15/9`  `9/24` 




`9/24`
`text(Hours awake)`
`= 24  15`
`= 9\ text(hours)`
`:.\ text(Fraction awake) = 9/24`
Renee has $5.
A doughnut costs $1.20.
How many doughnuts can Renee buy?
`3`  `4`  `5`  `6` 




`4`
`text(Strategy 1)`
`3 xx $1.20`  `= $3.60` 
`4 xx $1.20`  `= $4.80` 
`5 xx $1.20`  `= $6.00` 
`text(Strategy 2)`
`5/1.20 = 4.166...\ \ text{(round down)}`
`:.\ text(Renee can only buy 4.)`
Ming bought 7 apples and 5 oranges.
He used this calculation to work out the total cost
`5 × 0.70 + 7 × 0.85`
How much did one apple cost?
`$0.70`  `$0.85`  `$5`  `$7` 




`$0.85`
`text(S)text(ince 7 apples were bought, the cost)`
`text(of one is $0.85.)`
Lebron's right shoe is pictured below.
His left shoe is a mirror image of his right shoe.
Which of these is Lebron's left shoe?




`text(Lebron's left shoes is:)`
Rufus had 5 cups of pumpkin seeds to use for baking 2 loaves of pumpkin bread.
He used `1 3/4` cups for the first loaf, and `1 1/2` cups for the second loaf.
How many cups of pumpkin seeds did Rufus have left?
`1 3/4`  `2 3/4`  `3 1/4`  `7 3/4` 




`1 3/4`
`text(Cups of pumpkin seeds left)`
`=5  (1 3/4 + 1 1/2)`
`= 5  3 1/4`
`= 1 3/4`
There are 28 Year 7 students at a small high school.
Each student is asked if they have a trampoline at home or not and the results are recorded.
`3/4` of the students answered yes.
How many Year 7 students at the school have a trampoline at home?
`21`
`text(Students who have a trampoline)`
`= 3/4 xx 28`
`= 21`
A circle is divided into 5 equal areas and labelled, as shown in the diagram below.
What percentage of the circle's area has been labelled with an even number?
`text(2%)`  `text(20%)`  `text(30%)`  `text(40%)`  `text(60%)` 





`text(40%)`
`text(Percentage)`  `= text(number of evens)/ text(possible numbers)` 
`= 2/5`  
`= 40 text(%)` 