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CORE, FUR1 2016 VCAA 1-2 MC

The blood pressure (low, normal, high) and the age (under 50 years, 50 years or over) of 110 adults were recorded. The results are displayed in the two-way frequency table below.
 

     

Part 1

The percentage of adults under 50 years of age who have high blood pressure is closest to

  1.  11%
  2.  19%
  3.  26%
  4.  44%
  5.  58%


Part 2

The variables blood pressure (low, normal, high) and age (under 50 years, 50 years or over) are

  1. both nominal variables.
  2. both ordinal variables.
  3. a nominal variable and an ordinal variable respectively.
  4. an ordinal variable and a nominal variable respectively.
  5. a continuous variable and an ordinal variable respectively.
Show Answers Only

`text(Part 1:)\ B`

`text(Part 2:)\ B`

Show Worked Solution

`text(Part 1)`

`text(Percentage)` `= text(Under 50 with high BP)/text(Total under 50)`
  `= 11/58`
  `~~ 19text(%)`

 
`=> B`

 

`text(Part 2)`

♦♦ Mean mark (part 2): 31%.
MARKER’S COMMENT: Many students incorrectly identified the age (under 50, 50 or over) as nominal.

`text(Blood pressure is an ordinal variable)`

`text(because it is categorical data that can)`

`text(have an order.)`

`text(Under 50 and over 50, likewise, is an)`

`text(ordinal variable.)`

`=> B`

Measurement, NAP-B1-08

The minute hand is missing.
 


 

What time could this clock be showing?

`text(8 o'clock)` `text(half past 8)` `text(9 o'clock)` `text(half past 9)`
 
 
 
 
Show Answers Only

`text(half past 8)`

Show Worked Solution

`text(S)text(ince the hour hand is halfway between the 8 and 9,)`

`text(the clock could be showing half past 8.)`

Measurement, NAP-D1-12

Children at a Summer Camp are split into four colour teams, red, yellow, blue and green.

Which team has archery lessons first?

`text(Red)` `text(Yellow)` `text(Blue)` `text(Green)`
 
 
 
 
Show Answers Only

`text(Blue)`

Show Worked Solution

`text(Archery is earliest at 11:00 am.)`

`:.\ text(Blue has archery first.)`

Number and Algebra, NAP-D1-11

Melinda placed some shells in rows of 8.

She then put the same number of shells into bags of 6 and had some left over.

How many shells were left over?

`4` `3` `2` `1`
 
 
 
 
Show Answers Only

`2`

Show Worked Solution

`text(Total number of shells)`

`=8 xx 4`

`= 32`
 

`32 ÷ 6 = 5\ text(remainder 2)`

`:. 2\ text(shells were left over.)`

Geometry, NAP-D1-09

Kelly has sorted a number of shapes into groups.

How did Kelly sort her shapes?

 
 `text(by length of sides)`
 
 `text(by type of pattern)`
 
 `text(by number of sides)`
 
 `text(by height)`
Show Answers Only

`text(by number of sides)`

Show Worked Solution

`text(Every figure in each box has the same number)`

`text(of sides.)`

`=>\ text(Kelly has sorted them by number of sides.)`

Number and Algebra, NAP-D1-04

Chantelle showed this number on her calculator

She changed it so that it became this number.

What did Chantelle do to change 376 to 306?

 
 `text(added 7)`
 
 `text(subtracted 7)`
 
 `text(added 70)`
 
 `text(subtracted 70)`
Show Answers Only

`text(subtracted 70)`

Show Worked Solution

`376 – 70 = 306`

`=>\ text(subtracted 70)`

Measurement, NAP-E1-17

Rose called a restaurant on 3 November.

She booked dinner in exactly 3 weeks.
 

 
 

What date did Rose book the restaurant for?

 
 `text(6 November)`
 
 `text(10 November)`
 
 `text(23 November)`
 
 `text(24 November)`
Show Answers Only

`text(24 November)`

Show Worked Solution

`text(24 November)`

Measurement, NAP-F1-07

Six students line up side by side.

   

The teacher can make a line of shortest to tallest by swapping two students.

Which two students need to swap positions with each other?

 
 `text(Catherine and Justin)`
 
 `text(Catherine and Luke)`
 
 `text(Justin and Luke)`
 
 `text(Paddy and Luke)`
Show Answers Only

`text(Catherine and Luke)`

Show Worked Solution

`text(Catherine and Luke)`

Number and Algebra, NAP-I1-06

A boat hire shop has 5 paddle boats.

Each paddle boat can fit 4 people in it.

If all the paddle boats are hired out and have 4 people in them, how many people are in paddle boats altogether?

`5` `9` `15` `20`
 
 
 
 
Show Answers Only

`20`

Show Worked Solution
`text(Total people)` `=5 xx 4`
  `=20`

Statistics, NAP-I1-15

Cybil and Therese lived in different streets.

They were each counting different coloured cars that drove past their house one morning.

They drew a correct picture graph to show the number of coloured cars they saw altogether.

Which picture graph did they draw?  

 
 
 
 
Show Answers Only

Show Worked Solution

`text(Adding up the columns:)`

`text(White = 3, Blue = 5, Red = 4.)`

Number and Algebra, NAP-I1-14

The world record for the most push-ups ever completed in one hour is three thousand and ninety-two.

The number of push-ups can be written as:

`392` `3092` `3920` `30\ 092`
 
 
 
 
Show Answers Only

`3092`

Show Worked Solution

`text(Three thousand and ninety-two contains:)`

`=>\ text(3 “thousands”)`

`=>\ text(0 “hundreds”)`

`=>\ text(9 “tens”)`

`=>\ text(2 “ones”)`

`:. 3092`

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`
 
 
 
 
Show Answers Only

`12\ text(players)`

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

Number and Algebra, NAP-I1-10

Andrew is travelling from Brisbane to Mackay.

He knows that it is more 968 kilometres but less than 986 kilometres.

Which of these could be the number of kilometres that Andrew has to travel?

`946` `964` `984` `988`
 
 
 
 
Show Answers Only

`984`

Show Worked Solution

`text(S)text(ince)\ 968 < 984 < 986,`

`:. 984\ text(km could be the number.)`

Measurement, NAP-B2-01

The minute hand is not shown.
 


 

What time could this clock be displaying?

`text(10 o'clock)` `text(half past 10)` `text(11 o'clock)` `text(half past 11)`
 
 
 
 
Show Answers Only

`text(half past 10)`

Show Worked Solution

`text(The hour hand is halfway between 10 and 11.)`

`:.\ text(The time could be half past 10.)`

Measurement, NAP-C2-01

Peter is packing soup cans into a box for charity.

The box is the same height as a soup can.
 

 

 
How many cans of soup will fit into the box?

`8`    `9`  `15` `20`
 
 
 
 
Show Answers Only

`20\ text(cans)`

Show Worked Solution

`text(4 rows of cans will fit inside the box)`

`text(and each row will have 5 cans.)`

`:.\ text(Number of cans)` `=4 xx 5`
  `=20`