SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Number, NAP-J3-CA30 SA

Don buys a cricket ball, originally marked $30, that is discounted by 25%.

He also has a loyalty card that gives him another 20% off the sale price.

What is the final cost of the ball?

$  
Show Answers Only

`$18`

Show Worked Solution

`text(Solution 1)`

`text(Sale price)` `= 30 – (25text(%) xx 30)`
  `=30 – 7.50`
  `= $22.50`

 

`:.\ text(Final cost)` `= 22.50 – (20text(%) xx 22.50)`
  `= $18`

 

`text{Solution 2 (advanced)}`

`text(Final cost)` `= 30 xx 0.75 xx 0.8 `
  `= $18`

Number, NAP-D3-CA23 SA

A scholarship fund of $1 000 000 is allocated between three scholarships as shown in the table below.
 

 
150 students were given a Hardship Scholarship.

How much did each Hardship Scholarship winner get?

$   
Show Answers Only

`$2000`

Show Worked Solution

`text(Hardship Scholarship Funds)`

`= 30text(%) xx 1\ 000\ 000`

`= $300\ 000`
 

`:.\ text(Amount each winner received)`

`= (300\ 000)/150`

`= $2000`

Number, NAP-F3-CA28 SA

Richard bought a second hand snowboard at a cost of $390.

Richard had to spend 65% of his savings to buy the snowboard.

How much did Richard have in his savings after buying the snowboard?

$ 
Show Answers Only

`$210`

Show Worked Solution
`65text(%) xx text(Savings)` `= $390`
 `:.\ text(Savings)` `= 390/0.65`
  `= $600`

 

`:.\ text(Savings left)` `= 600 – 390`
  `= $210`

Number, NAP-B3-NC18

A local soccer club has 1600 fans.

At a game, one-quarter of the fans wear a yellow jersey and the rest wear red.

25% of the red jerseys have a black stripe down the back.

How many red jerseys have a black stripe?

`250` `300` `400` `1200`
 
 
 
 
Show Answers Only

`300`

Show Worked Solution
`text(Total red jerseys)` `=3/4 xx 1600`
  `=1200`

 

`:.\ text(Red jerseys with black stripe)`
`=0.25 xx 1200`
`=300`

Number, NAP-E3-NC15

Hoon's camera has a memory card that holds 20 gigabytes.

He has used exactly 16 gigabytes of memory.

What percentage of the memory has not been used?

`text(4%)` `text(20%)` `text(25%)` `text(40%)` `text(75%)`
 
 
 
 
 
Show Answers Only

`text(20%)`

Show Worked Solution
`text(Memory left)` `= 20 – 16`
  `= 4\ text(GB)`

 

`:.\ text(Percentage not used)`

`= 4/20`

`= 20text(%)`

Number, NAP-C3-CA11

In a water polo season, Vladimir had 330 shots at goal.

He scored 170 goals but missed the rest.

Vladimir's success rate of scoring goals was?

 
 less than 25%
 
 more than 25% but less than 50%
 
 more than 50% but less than 75%
 
 more than 75%
Show Answers Only

`text(more than 50% but less than 75%)`

Show Worked Solution
`text(Success rate)` `=170/330`
  `=0.515…`
  `=52text(%)`

 

`:.\ text(His succes rate is more than 50% but less than 75%.)`

Number, NAP-H3-CA28 SA

Harrison was saving his money to buy a cricket bat.

After 1 month, he had saved 45% of the bat's cost.

After 2 months, he had saved another $90 and now had 75% of the bat's cost.

How much does the bat cost?

$  
Show Answers Only

`$300`

Show Worked Solution
`text(75%)\ -\ text(45%)` `= $90`
`text(30%)` `= $90`
`:. 1text(%)` `= $3`

 

`:.\ text(The bat cost)` `= 100 xx 3`
  `= $300`