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Number and Algebra, NAP-C1-13

Bobby has 76 football cards.

Shania has 117 football cards.

How many football cards do Bobby and Shania have altogether?

`183` `184` `193` `194`
 
 
 
 
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`193`

Show Worked Solution
`text(Total cards)` `=117+76`
  `=187+6`
  `=193`

Number and Algebra, NAP-I1-35 SA

Alvin and Curtly picked 47 apples from an apple tree.

Curtly picked 11 more apples than Alvin.

How many apples did Curtly pick?
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`29`

Show Worked Solution

`text(Strategy one:)`

`text(Try possible numbers,)`

`text(24 Curtly − 23 Alvin ⇒ 1 difference)`

`text(25 Curtly − 22 Alvin ⇒ 3 difference)`

`vdots`

`text(29 Curtly − 18 Alvin ⇒ 11 difference)`

`:.\ text(Curtly picked 29 apples.)`

 

`text{Strategy two (use of algebra):}`

`text(Let Alvin pick)\ \ x\ \ text(apples)`

`text(Curtly picks)\ \ x + 11\ \ text(apples)`

`x +x + 11` `=47`
`2x` `=36`
`x` `=18`

 

`:.\ text(Curtly picks  18 + 11 = 29 apples)`

Number and Algebra, NAP-I1-28

Clive is using a number line to show a pattern.
 


 

In Clive's pattern, what number comes before 35?

`29` `30` `31` `32`
 
 
 
 
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`31`

Show Worked Solution

`text(Arrow jumps 4 each time.)`

`:.\ text(Number before 35)`

`= 35 – 4`

`= 31`

Number and Algebra, NAP-H1-12

Rory played in a soccer team.

At training, 8 players were there but 4 could not make it.

How many players are in Rory's team?

`4` `8` `11` `12`
 
 
 
 
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`12\ text(players)`

Show Worked Solution
`text(Players in Rory’s team)` `=8+4`
  `=12`