Simon's copy of Q7 Track shape problems

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Simon Thomas 6 years, 1 month ago

Created this as a copy of Q7 Track shape problems.

Name	Status	Author	Last Modified
Q7 Track shape problems	Ready to use	TEAME CIT	06/10/2016 16:13
Simon's copy of Q7 Track shape problems	draft	Simon Thomas	21/02/2019 12:07

There is one other version that you do not have access to.

Question statement

Solve the following questions to 2 decimal places:

Give any introductory information the student needs.

			Name	Type	Generated Value

size	list	[ 57.2, 39.4 ]
size2	integer	67
size3	integer	36
ans11	number	294.0990997853
ans12	number	5841.5371269303
ans21	number	219.4893752757
ans22	number	2834.1619443752
ans31	number	247.0973355292
ans32	number	3429.8760197631

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
shuffle(25..77#0.2)[0..2]

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`

[ 57.2, 39.4 ]

→ Used by:

ans11
ans12
ans21
ans22

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
Part b) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
Part c) 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 figure above shows a running track which is made up of a square of side $\var{size[0]}$ metres and a semi-circle on each end.

(i) Calculate the perimeter of the running track.

Gap 0.m

(ii) Calculate the area enclosed by the running track.

Gap 1.m $^2$

Advice

(a)

Perimeter = 2 semicircles + 2 straight lines = $(2 \times \pi \times \frac{\var{size[0]}}{2}) + (2 \times \var{size[0]}) = \var{precround(ans11,2)}$ m

Area = 2 semicircles + 1 square = 1 circle + 1 square = $(\pi \times (\frac{\var{size[0]}}{2})^2) + (\var{size[0]}^2) = \var{precround(ans12,2)}$ m $^2$

(b)

Perimeter = 1 semicircle + 4 straight lines = $(\pi \times \frac{\var{size[1]}}{2}) + (2 \times \var{size[1]}) + (2 \times \var{size[1]}) = \var{precround(ans21,2)}$ m

The area of an equilateral triangle with side length $a$ is given by $A =\frac{\sqrt{3}}{4} a^2$

Area = 1 semicircle + 1 square + 1 triangle = $\frac{(\pi \times (\frac{\var{size[1]}}{2})^2)}{2} + (\var{size[1]}^2) +(\frac{\sqrt(3)}{4} \times (\var{size[1]}^2)) = \var{precround(ans22,2)}$ m $^2$

(c)

Perimeter = 2 semicircles + 2 straight lines = $(2 \times \pi \times \frac{\var{size3}}{2}) + (2 \times \var{size2}) = \var{precround(ans31,2)}$ m

Area = 2 semicircles + 1 rectangle = 1 circle + 1 rectangle = $(\pi \times (\frac{\var{size3}}{2})^2) + (\var{size2} \times \var{size3}) = \var{precround(ans32,2)}$ m $^2$

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
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Gap-fill
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This question is used in the following exam:

Mensuration by Simon Thomas in Maths support.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Simon Thomas 6 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Gap-fill

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Simon's copy of Q7 Track shape problems

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: list

Parts

Gap-fill

Generated value: `list`