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Number, NAP-L4-NC06

In 100 grams of the alloy electrum, there are 87.5 grams of gold and 12.5 grams of other metals.

Of the other metals, 2.1 grams are silver.

Which of these fractions is the closest to the proportion of silver among the other metals?

`1/8` `1/5` `1/10` `1/4`
 
 
 
 
Show Answers Only

`1/5`

Show Worked Solution
`text(Fraction)` `= 2.1/12.5`
  `= 21/125`
  `~~ 1/5`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 8, smc-3175-70-Decimals – Word problems, smc-663-70-Decimals - Word problems

Number, NAP-K4-NC01

Mark is booking a hotel room online that has a rating of 3.7 out of 5.

The ratings of the other 4 hotel rooms he considered are listed below.

●   Hotel 57's rating 1.8
●   Snuggy Hotel's rating 1.85
●   Castle Hotel's rating 1.91
●   Cross Hotel's rating 2.5

 
Which hotel has a rating that is exactly half that of the hotel Mark booked?

Hotel 57 Snuggy Hotel Castle Hotel Cross Hotel
 
 
 
 
Show Answers Only

`text(Snuggy Hotel)`

Show Worked Solution

`3.7 ÷ 2 = 1.85`

`:.\ text(Snuggy Hotel)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 7, smc-3175-70-Decimals – Word problems, smc-663-70-Decimals - Word problems

Number, NAP-J4-CA20 SA

A high school has 1000 students enrolled.

37 of the 1000 students have the first name John.

Write this as a decimal.

Show Answers Only

`0.037`

Show Worked Solution

`37/1000 = 0.037`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 8, smc-3175-70-Decimals – Word problems, smc-663-70-Decimals - Word problems

Number, NAP-C4-CA13

A pile of paper is 35 mm high.
 

  
If each sheet is 0.08 mm thick, how many sheets of paper are in this pile?

`127` `350` `437` `500`
 
 
 
 
Show Answers Only

`437`

Show Worked Solution

`text(Number of sheets in the pile)`

`=35 ÷ 0.08`

`= 437.5`

`=437\ text(sheets.)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 7, smc-3175-70-Decimals – Word problems, smc-663-70-Decimals - Word problems

Number, NAP-D4-NC18

Jamie buys a 200 gram bag of pumpkin seeds at the market for making muesli.

Each pumpkin seed has a mass of 0.19 grams.

Which of these is the best estimate for the number of seeds in the 200 gram bag?

`100` `500` `1000` `5000`
 
 
 
 
Show Answers Only

`1000`

Show Worked Solution

`text(Mass of 10 seeds = 1.90 g)`

`text(Mass of 100 seeds = 19 g)`

`text(Mass of 1000 seeds = 190 g)`

`:. 1000\ text(is the best estimate.)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 8, smc-3175-70-Decimals – Word problems, smc-663-70-Decimals - Word problems

Number, NAP-G4-NC11

4 groups of backpackers picked blueberries over two hours.

The weight of the blueberries collected (in kg) by the groups in each hour is shown in the table below.

  Group 1 Group 2 Group 3 Group 4
1st Hour 2.57 2.89 2.5 2.87
2nd Hour 2.35 2.06 2.92 2.53

Which group picked the greatest mass over the two hours?

`text(Group 1)` `text(Group 2)` `text(Group 3)` `text(Group 4)`
 
 
 
 
Show Answers Only

`text(Group 3:  5.42 kg)`

Show Worked Solution

`text(A possible strategy:)`

`text(A quick estimate of the 1st 2 options shows)`

`text(that both sums will be lower than 5 kg.)`

`=>\ text(Evaluate only the last 2 options:)`

`text(Group 3:)\ \ 2.5 + 2.92 = 5.42\ text(kg)`

`text(Group 4:)\ \ 2.87 + 2.53 = 5.40\ text(kg)`

 

`:.\ text(Group 3 picked the greatest mass.)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 7, smc-3175-70-Decimals – Word problems, smc-663-70-Decimals - Word problems

Number, NAP-G4-CA20 SA

The table below gives the lengths of two similar fleas.
 


 

One inch equals 25.4 millimetres.

What is the difference in millimetres between the length of a Cat Flea and a Pulex Flea?

Give your answer to three decimal places.

millimetres
Show Answers Only

 `0.825\ text(mm)`

Show Worked Solution

`1/8 xx 25.4 = 3.175`

`4 – 3.175 = 0.825\ text(mm)`

Filed Under: Fractions and Decimals, Fractions and Decimals Tagged With: Band 9, smc-3175-30-Fractions – Word problems, smc-3175-70-Decimals – Word problems, smc-663-30-Fractions - Word problems, smc-663-70-Decimals - Word problems

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