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Algebra, NAP-I4-CA09

At a pool supply store, 20 kilograms of salt costs $6.50 and 40 kilograms of the same salt costs $13.00.

Which graph could show the relationship between the amount of salt and its cost?

naplan-2016-9mci naplan-2016-9mcii naplan-2016-9mciii
 
 
 
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naplan-2016-9mciv

Show Worked Solution

naplan-2016-9mciv

Filed Under: Harder Equations, Harder Equations Tagged With: Band 7

Number, NAP-I4-CA08

Olaf's receipt from a Battery World store was torn and part of it was thrown in the rubbish.
 

naplan-2016-8mc

 He knew:

  • each AA battery pack cost just under `$9`.
  • each USB stick cost just under `$8`.

His credit card statement showed that he spent `$83.90` at the Battery World store.

About how much did the hard drive cost?

`$5` `$17` `$28` `$67`
 
 
 
 
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`$17`

Show Worked Solution

`text(C) text(ost of batteries and USB sticks)`

`~~ (3 xx 9) + (5 xx 8)`

`~~ $67\ \ text{(just under)}`

 

`:.\ text(Hard Drive cost)` `~~ 83.90 – 67`
  `~~ $16.9`
  `~~$17`

Filed Under: Multi-Step Problems, Multi-Step Problems Tagged With: Band 7

Number, NAP-I4-CA07

Luke had `6` cups of sugar.

He used `1/2` cup of sugar for one recipe and `2 1/4` cups of sugar for another recipe.

How many cups of sugar did Luke have left?

 
`2 1/4`
 
`3 1/4`
 
`3 1/2`
 
`4 3/4`
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`3 1/4`

Show Worked Solution

`text(Cups used) = 1/2 + 2 1/4=2 3/4`

`text(Cups left) = 6 – 2 3/4 = 3 1/4`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 7, smc-3175-30-Fractions – Word problems, smc-663-30-Fractions - Word problems

Number, NAP-I4-CA05 SA

Olivia earned $17.24 per hour working at a pizza store.

This week she worked for  `8 1/4` hours.

She used the money she earned this week to buy concert tickets for herself and her friends.

Each concert ticket cost $14.15.

What is the maximum number of concert tickets Olivia could have bought?

   tickets
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`10`

Show Worked Solution
`text(Money earned)` `= 8 1/4 xx 17.24`
  `= $142.23`

 

`:.\ text(Maximum tickets)` `= 142.23/14.15`
  `= 10.05…`
  `= 10`

Filed Under: Financial Maths, Financial Maths Tagged With: Band 7, smc-3174-20-Wages, smc-892-20-Wages

Number, NAP-I4-CA04

What is the value of the expression  `3 + (-13) - (-6)?`

`-16` `-4` `18` `26`
 
 
 
 
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`-4`

Show Worked Solution
`3 + (-13) – (-6)` `= -10 + 6`
  `= -4`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3173-20-Basic Operators, smc-890-20-Basic Operators

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