Basic Percentages 3

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Mark Hodds 5 years, 9 months ago

Created this as a copy of Basic Percentages.

Name	Status	Author	Last Modified
Q1 Percentages	draft	TEAME CIT	11/10/2016 22:23
Q1 percentages	Ready to use	TEAME CIT	06/10/2016 15:47
Q2 Basic Percentages	draft	TEAME CIT	09/10/2016 19:57
Lois's copy of Q1 Percentages	draft	Lois Rollings	07/12/2016 15:46
Simon's copy of Q2 Basic Percentages	draft	Simon Thomas	21/02/2019 14:33
Simon's copy of Q1 percentages	draft	Simon Thomas	21/02/2019 14:26
Basic Percentages	draft	Mark Hodds	05/07/2019 12:32
Basic Percentages 2	draft	Mark Hodds	18/06/2019 13:16
Basic Percentages 3	draft	Mark Hodds	05/07/2019 12:19
Fractions Decimals Percentages	draft	Mark Hodds	05/07/2019 12:07

There are 8 other versions that do you not have access to.

Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	65
b	integer	90
ans	rational	117/2
c	integer	25
d	integer	10
ans1	rational	5/2
ans2	integer	35
ans3	integer	125
ans4	rational	225/2

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(20..90#5)

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: `integer`

This variable doesn't seem to be used anywhere.

Parts

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Part b) Gap-fill
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Part c) Gap-fill
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Part d) Gap-fill
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Part e) Gap-fill
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Gap-fill

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

What is $\var{a}$ % of $\var{b}$ ml ?

Unnamed gapml

Advice

To find the percentage of a number, we need to remember that percentage means "out of $100$ ". There are then several ways to find the answer.

For part a:

Method 1

You can use the formula : $\frac{Original Amount}{100}\times Percentage$

In this question, this will be $\frac{\var{b}}{100}\times\var{a} = \var{ans}$

Method 2

We can use scaling to find the percentage.

Find $50$ % (which is half), $25$ % (which is half of $50$ %), $5$ % (which is $25$ % divided by $5$ ), and/or $1$ % (which is the original divided by $100$ ).

Using these values you can get to ANY percentage amount by then scaling up:

e.g. $2$ % = $1$ % $\times 2$ , $7$ % = $1$ % $\times 7$ , $15$ % = $5$ % $\times 3$ , etc.

For part c, we are removing $\var{a}$ % from the original amount. The original amount is $100$ % of what we had so the new amount is $100 - \var{a} = \var{ans2}$ %

Similarly, for part d, we are adding $\var{c}$ % to the original amount. The original amount is $100$ % of what we had so the new amount is $100 + \var{c} = \var{ans3}$ %

For part d, you can use the same methods as parts a and b but remember, as the percentage is greater than $100$ you should get an answer bigger than what we started with.

Give a worked solution to the whole question.

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This question is used in the following exams:

204AD Week 1 Exam by Mark Hodds in Nursing Questions.
Fractions, Decimals and Percentages by Mark Hodds in Nursing Questions.
Practice Test - MN1105 by Abdul Rehman Shahid in Practice Test - MN1105.
Mixed Percentages by Kwame D Dwamena in Kwame D's workspace.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Mark Hodds 5 years, 9 months ago

Error in variable testing condition

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Warning

Generated value: `integer`

Parts

Gap-fill

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Basic Percentages 3

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Mark Hodds 5 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`