NC NA box of chocolates ratios (10+)

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Adelle Colbourn

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Adelle Colbourn 4 years, 5 months ago

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Question statement

A family received a box of chocolates as a gift. There were five different kinds of chocolates inside: Plain, nut, caramel, dark and coconut.

Give any introductory information the student needs.

			Name	Type	Generated Value

chocs	integer	70
p	integer	2
n	integer	4
d	integer	6
c	integer	3
rob	integer	12
ratio_coconut	number	1
ratio_rest	number	4
gcd2	number	3

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

Description

Total number of chocolates in the box before eating.

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

Can an exam override the value of this variable?

Generated value: `integer`

Parts

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

Gap-fill

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

The box initially contained equal numbers of each kind of chocolate, and there were $\var{chocs}$ chocolates in the box altogether.

Caramel flavoured chocolate is the family favourite, and so all of these chocolates were eaten first.

Over the next few days, the remaining chocolates in the box were slowly devoured so that by the start of day three, all that remained was:

$\var{p}$ plain chocolates, $\var{n}$ nutty chocolates, $\var{c}$ coconut chocolates and $\var{d}$ dark chocolates.

What is the ratio of coconut chocolates to the rest of the box, at the start of day three? Give your answer in its simplest form.

Coconut Gap 0. : Gap 1. Rest of the box

Advice

You are asked you to compare coconut chocolates to the rest of the box. It states that there are {c} coconut chocolates. To calculate the number of chocolates in the rest of the box, add together the stated amounts of plain, dark and nutty chocolates:

$\var{p}+\var{d}+\var{n}$ = $\var{rob}$ .

Insert these two figures into the gaps.

Coconut $\var{c}$ : $\var{rob}$ Other chocolates

From this, we should look to see if this answer can be simplified down. To do this, we need to find the greatest common divisor of $\var{c}$ and $\var{rob}$ .

The greatest common divisor is $\var{gcd2}$ .

Using this value to simplify the ratio by dividing each term by the value, the final answer is

Coconut $\var{ratio_coconut}$ : $\var{ratio_rest}$ Other chocolates.

This states that for every {ratio_coconut} coconut {if(ratio_coconut=1,"chocolate","chocolates")}, there {if(ratio_rest=1,"is","are")} {ratio_rest} other {if(ratio_rest=1,"chocolate","chocolates")} in the box.

Therefore, it is not possible to simplify further and the final answer is

Coconut $\var{c}$ : $\var{rob}$ Other chocolates.

This states that for every {c} coconut {if(c=1,"chocolate","chocolates")}, there {if(rob=1,"is","are")} {rob} other {if(rob=1,"chocolate","chocolates")} in the box.

Note that this question contains additional information that is not required to answer the question.

Give a worked solution to the whole question.

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

This question is used in the following exams:

Timed Practice Quiz by Adelle Colbourn in Ed questions to share.
Untimed Practice questions by Adelle Colbourn in Ed questions to share.
Practice questions from menu by Adelle Colbourn in Ed questions to share.
Timed Practice Quiz v2 by Adelle Colbourn in Odds and Ends.
Timed Practice Quiz v3 by Adelle Colbourn in Odds and Ends.
Lantite (Numeracy) 75 minute practice quiz by Ben Brawn in LANTITE (Numeracy).

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Adelle Colbourn 4 years, 5 months ago

Adelle Colbourn 4 years, 11 months ago

Adelle Colbourn 5 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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NC NA box of chocolates ratios (10+)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Adelle Colbourn 4 years, 5 months ago

Adelle Colbourn 4 years, 11 months ago

Adelle Colbourn 5 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`