Rectangle enlargements

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Simon Thomas 6 years, 1 month ago

Created this as a copy of Q6 Ratio with rectangles .

Name	Status	Author	Last Modified
Q3 Ratios	Ready to use	TEAME CIT	06/10/2016 16:06
Q6 Ratio with rectangles	Ready to use	TEAME CIT	06/10/2016 16:05
Ratio with rectangles L2	draft	steve kilgallon	09/08/2016 17:05
Simon's copy of Q3 Ratios	draft	Simon Thomas	25/02/2019 14:50
Rectangle enlargements	draft	Simon Thomas	25/02/2019 15:47

There are 3 other versions that do you not have access to.

Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

numberone	integer	18
numbertwo	integer	20
ans	rational	-28/5
lent	rational	59/50
width	rational	4/5
area	rational	118/125
numberthree	integer	2
numberthreea	integer	7
numberfour	integer	4
numberfoura	integer	3
numberfive	integer	3
numberfivea	integer	21
numberfiveb	integer	11
ansone	rational	270/7
anstwo	rational	78
ansthree	rational	444/7
num1	integer	2
num2	integer	7
num3	integer	6
a1	integer	24
a2	integer	84
a3	integer	72
sf	integer	9

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(2..25)

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`

→ Used by:

lent
numbertwo

Advice
"Part b)" - prompt
"Part b)" → "Unnamed step" - prompt

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
1. Step Information only
Part b) Gap-fill
1. Gap Number entry
  Add
1. Step Information only

Gap-fill

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

The length and width of a rectangle are both mutiplied by $\var{sf}$

What must we multiply the old area by to find the new area?

Unnamed gap

Advice

(a)

Suppose the original rectangle has length $l$ and width $w$ . This has area $w\times l$ .

The new rectangle has length $\var{sf}l$ and width $\var{sf}w$ .

Therefore it has area $\var{sf}w \times \var{sf}l = \var{sf}^2\times w \times l$ , which is $\var{sf^2}$ times the original area.

In general:

-if we enlarge a 2-d shape by scale factor $k$ , its area will be multiplied by $k^2$

-if we enlarge a 3-d shape by scale factor $k$ , its volume will be multiplied by $k^3$

(b)

An increase in length of $\var{numberone}$ %, is the same as multiplying the length by $\var{lent}$

An decrease in width of $\var{numbertwo}$ %, is the same as multiplying the width by $\var{width}$

Therefore the new area will be $\var{width}w \times \var{lent}l = \var{width*lent}\times w \times l$

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

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

This question is used in the following exam:

Ratio & Proportion by Simon Thomas in Maths support.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

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Comment

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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Rectangle enlargements

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`