Numerical reasoning - lottery syndicate - Numbas at mathcentre.ac.uk

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Christian Lawson-Perfect

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Christian Lawson-Perfect

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10 years, 1 month ago

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Christian Lawson-Perfect 2 years, 4 months ago

Saved a checkpoint:

Renamed the variable 'name' to 'names' to avoid a conflict with the marking algorithm.

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Christian Lawson-Perfect 10 years, 1 month ago

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Christian Lawson-Perfect 12 years, 5 months ago

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Name	Status	Author	Last Modified
Numerical reasoning - lottery syndicate	Ready to use	Christian Lawson-Perfect	19/12/2022 11:43
Lois's copy of Numerical reasoning - lottery syndicate	draft	Lois Rollings	13/01/2017 10:52

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Question statement

{names[0]}, {names[1]} and {names[2]} agree to buy {numbernames[total]} pounds' worth of lottery tickets, with {names[0]} contributing £{share[0]}, {names[1]} contributing £{share[1]} and {names[2]} contributing £{share[2]}.

They agree that if they win anything with any of these tickets that it should be shared out in the same ratio as their contributions.

Give any introductory information the student needs.

			Name	Type	Generated Value

numbernames	list	List of 20 items
winnings	list	[ 100, 300, 250 ]
names	list	[ "Beryl", "Ethel", "Jim" ]
share	list	[ 2, 6, 5 ]
share0	integer	6
share1	integer	5
share2	integer	2
part	rational	50
win	integer	650
total	integer	13

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
['zero','one','two','three','four','five','six','seven','eight','nine','ten','eleven','twelve','thirteen','fourteen','fifteen','sixteen','seventeen','eighteen','nineteen']

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `list`

[ "zero", "one", "two", "three", "four", "five", "six", "seven", "eight", "nine", "ten", "eleven", "twelve", "thirteen", "fourteen", "fifteen", "sixteen", "seventeen", "eighteen", "nineteen" ]

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

They win £{win}. How much does each get?

{names[0]}	£ Gap 0.
{names[1]}	£ Gap 1.
{names[2]}	£ Gap 2.

Advice

Their agreement means that the winnings should go to {names[0]}, {names[1]} and {names[2]} in the ratio $\var{share[0]}:\var{share[1]}:\var{share[2]}$ . Think of these as being shares in the winnings.

There are $\var{share[0]}+\var{share[1]}+\var{share[2]} = \var{total}$ shares in all for the £{win}.

Hence each share is worth $£\var{win} \div \var{total} = £\var{part}$ .

So {names[0]} gets {share[0]} {pluralise(share[0],'share','shares')} = $\var{share[0]} \times £\var{part} = £\var{winnings[0]}$ , {names[1]} {share[1]} {pluralise(share[1],'share','shares')} = $\var{share[1]} \times £\var{part} = £\var{winnings[1]}$ and {names[2]} {share[2]} {pluralise(share[2],'share','shares')} = $\var{share[2]} \times £\var{part} = £\var{winnings[2]}$ .

Give a worked solution to the whole question.

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Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet

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Numerical reasoning - lottery syndicate

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Christian Lawson-Perfect 2 years, 4 months ago

Christian Lawson-Perfect 10 years, 1 month ago

Christian Lawson-Perfect 12 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Gap-fill

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Numerical reasoning - lottery syndicate

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Christian Lawson-Perfect 2 years, 4 months ago

Christian Lawson-Perfect 10 years, 1 month ago

Christian Lawson-Perfect 12 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`