Q7 Track shape problems

Error

There was an error loading the page.

Contributors

TEAME CIT

Feedback

From users who are members of David's workspace :

TEAME CIT

said

Ready to use

8 years, 9 months ago

History

○

TEAME CIT 8 years, 9 months ago

Published this.

○

TEAME CIT 8 years, 9 months ago

Gave some feedback: Ready to use

○

TEAME CIT 9 years, 3 months ago

Created this.

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	[ 27.8, 46.4 ]
size2	integer	61
size3	integer	25
ans11	number	142.9362757698
ans12	number	1379.8271166001
ans21	number	258.4849495633
ans22	number	3930.6844416
ans31	number	200.5398163397
ans32	number	2015.8738521234

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`

[ 27.8, 46.4 ]

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

Part 1

$(2 \times \pi \times \frac{\var{size[0]}}{2}) + (2 \times \var{size[0]}) = \var{ans11}m$

$(\pi \times (\frac{\var{size[0]}}{2})^2) + (\var{size[0]}^2) = \var{ans12}m^2$

Part 2

$(\pi \times \frac{\var{size[1]}}{2}) + (2 \times \var{size[1]}) + (2 \times \var{size[1]}) = \var{ans21}m$

$\frac{(\pi \times (\frac{\var{size[1]}}{2})^2)}{2} + (\var{size[1]}^2) +(\frac{\sqrt(3)}{4} \times (\var{size[1]}^2)) = \var{ans22}m^2$

Part 3

$(2 \times \pi \times \frac{\var{size3}}{2}) + (2 \times \var{size2}) = \var{ans31}m$

$(\pi \times (\frac{\var{size3}}{2})^2) + (\var{size2} \times \var{size3}) = \var{ans32}m^2$

Give a worked solution to the whole question.

URL

Text alternative
URL

Text alternative
URL

Text alternative
URL

Text alternative

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
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
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:

Math6000 (WS8) Mensuration by TEAME CIT in MATH6000 Essential Mathematical Skills.
Math6000 (WS5-8) by Julie Crowley in MATH6000 Essential Mathematical Skills.
Mensuration by Deirdre Casey in Deirdre's workspace.
Area and Volume by Katie Bullen in Katie's workspace.

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

TEAME CIT 8 years, 9 months ago

TEAME CIT 8 years, 9 months ago

TEAME CIT 9 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Gap-fill

Loading...

Error

Q7 Track shape problems

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

TEAME CIT 8 years, 9 months ago

TEAME CIT 8 years, 9 months ago

TEAME CIT 9 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`