Simon's copy of Q1 Intro to Ratios

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Simon Thomas 6 years, 1 month ago

Created this as a copy of Q1 Intro to Ratios.

Name	Status	Author	Last Modified
Q1 Intro to Ratios	Ready to use	TEAME CIT	06/10/2016 16:05
Q5 Paint and Alloy Ratio	Ready to use	TEAME CIT	06/10/2016 16:06
Paint and Alloy Ratio L1+2	draft	steve kilgallon	09/08/2016 16:59
Simon's copy of Q1 Intro to Ratios	draft	Simon Thomas	25/02/2019 15:18
Simon's copy of Q5 Paint and Alloy Ratio	draft	Simon Thomas	25/02/2019 15:16

There are 14 other versions that do you not have access to.

Question statement

Solve the following ratio questions:

Give any introductory information the student needs.

			Name	Type	Generated Value

num11	integer	24
ans11	integer	3
ans12	integer	5
k	integer	8
num12	integer	40
boy	integer	9
number0	integer	6
number1	integer	11
number2	integer	10
low	number	330
ans21	integer	3
ans22	integer	5
ans23	rational	90
l	integer	3
girl	integer	15
student	integer	144
ans31	number	55
ans32	number	150
ans33	number	231

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
ans11*k

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`

← Depends on:

ans11
k

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Gap 0. Number entry
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2. Gap Gap 1. Number entry
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1. Step Information only
Part b) Gap-fill
1. Gap Gap 0. Number entry
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2. Gap Gap 1. Number entry
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3. Gap Gap 2. Number entry
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1. Step Information only
Part c) Gap-fill
1. Gap Gap 0. Number entry
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2. Gap Gap 1. Number entry
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3. Gap Gap 2. Number entry
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1. Step Information only

Gap-fill

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

Express the ratio $\var{num11}$ : $\var{num12}$ in its simplest form.

Gap 0.:Gap 1.

Advice

Watch the following video to understand ratios better!

Ratios Video

(a)

The highest common factor of $\var{num11}$ and $\var{num12}$ is $\var{gcd(num11,num12)}$ .

Divide both numbers by $\var{gcd(num11,num12)}$ gives the simplest ratio as $\var{num11/gcd(num11,num12)}:\var{num12/gcd(num11,num12)}$

(b)

The highest common factor of $\var{girl}$ and $\var{boy}$ is $\var{l}$ . Divide both the number of boys and girls by this to give:

Ratio = $\frac{\var{boy}}{\var{l}}$ : $\frac{\var{girl}}{\var{l}}=\var{ans21}$ : $\var{ans22}$

To work out the number of girls we note that there are $\var{ans21}+\var{ans22}=\var{ans21+ans22}$ parts in total.

We can divide the total number of pupils by $\var{ans21+ans22}$ to give $\var{student}\div\var{ans21+ans22} = \var{student/(ans21+ans22)}$ . So each part of the ratio is worth $\var{student/(ans21+ans22)}$ pupils.

Since girls make up $\var{ans22}$ parts of the ratio, then the total number of girls is:

$\var{ans22}\times\var{student/(ans21+ans22)} = \var{ans23}$

(c)

First find the lowest common denominator = $\var{low}$

Now we can multiply each fraction by $\var{low}$ and we will end up with a whole number:

$(\frac{1}{\var{number0}}) \times \var{low} = \var{ans31}$

$(\frac{5}{\var{number1}}) \times \var{low} = \var{ans32}$

$(\frac{7}{\var{number2}}) \times \var{low} = \var{ans33}$

So the ratio is $\var{ans31}:\var{ans32}:\var{ans33}$

Give a worked solution to the whole question.

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This question is used in the following exams:

Ratio & Proportion by Simon Thomas in Maths support.
Practice Test - MN1105 by Abdul Rehman Shahid in Practice Test - MN1105.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

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Checkpoint description

Simon Thomas 6 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Simon's copy of Q1 Intro to Ratios

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Simon Thomas 6 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`