SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Number, NAP-K3-NC08 SA

Michael purchases a 3D printer worth $2 490 000.

He was given a 10% discount.

What was the price paid by Michael after the discount?

$    
Show Answers Only

`$2\ 241\ 000`

Show Worked Solution
`text(Discount)` `= 10text(%) xx 2\ 490\ 000`
  `= 249\ 000`

 

`:.\ text(Price)` `= 2\ 490\ 000 – 249\ 000`
  `= $2\ 241\ 000`

Number, NAP-A3-CA24

A hockey stick is on sale, reduced from $220 to $165.

What percentage discount has been applied?

`text(25%)` `text(33%)` `text(45%)` `text(55%)`
 
 
 
 
Show Answers Only

`text(25%)`

Show Worked Solution
`text(Discount)` `= text(reduction)/text(original price) xx 100`
  `= ((220 – 165))/220 xx 100`
  `= 25text(%)`

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-C3-CA30 SA

A sport store has a sale.
 

 
What is the difference in the sale prices of these two tents?

$   
Show Answers Only

`$7.50` 

Show Worked Solution
`text(Price of tent 1)` `= 85 – 30text(%) xx 85 `
  `= 85 – 25.5`
  `= $59.50`
`text(Price of tent 2)` `= 80 – 35text(%) xx 80`
  `= 80 – 28.0`
  `= $52.00`

  

`:.\ text(Price difference)` `= 59.5 – 52`
  `= $7.50`

Number, NAP-G3-CA28 SA

Walker is doing an intensive swim program over the summer holidays.

In his first session, he swims 50 laps.

In his second session, he swims 30% more laps than his first session.

In his third session, he swims 20% more laps than his second session.

How many laps does he swim at his third practice?
Show Answers Only

`78\ text(laps)`

Show Worked Solution

`text(1st session) = 50\ text(laps)`

`text(2nd session)` `= 50 + (30text(%) xx 50)`
  `= 50 + 15`
  `= 65\ text(laps)`

 

`text(3rd session)` `= 65 + (20text(%) xx 65)`
  `= 65 + 13`
  `= 78\ text(laps)`

Number, NAP-I3-NC27 SA

A box of golf balls normally cost $19.50.

During a sale, the golf shop took 10% off the regular price of the balls.

What is the new sale price of the golf balls?

$  
Show Answers Only

`$17.55` 

Show Worked Solution
`text(10% discount)` `= 19.50/10`
  `= $1.95`

 

`:.\ text(Sale price)` `= $19.50 – $1.95`
  `= $17.55`