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Taken from question 37 of the book Problem Solving in GCSE Mathematics by Daniel Griller.
Given bearings and lengths of two straight lines, work out the bearing and distance back to the starting point.
A Eukleides diagram shows the setup visually.
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
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From users who are members of Demos :
Christian Lawson-Perfect
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said | Ready to use | 5 years, 10 months ago |
History
Ben Brawn commented 2 years ago
in the hint_diagram length_2 is hard coded as 5.
Christian Lawson-Perfect 5 years, 10 months ago
Published this.
Christian Lawson-Perfect 5 years, 10 months ago
Gave some feedback: Ready to use
Christian Lawson-Perfect 5 years, 10 months ago
Created this.There is only one version of this question that you have access to.
There are 8 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| solved_diagram | html |
HTML node
|
||||
| h1 | integer |
95
|
||||
| h2 | integer |
190
|
||||
| person | dict |
Dictionary with 3 entries
|
||||
| name | string |
Emily
|
||||
| they | string |
she
|
||||
| neutral | boolean |
false
|
||||
| their | string |
her
|
||||
| abc | number |
1.4835298642
|
||||
| x | number |
6.1248485932
|
||||
| theta | number |
54.4137330121
|
||||
| bearing | number |
329.4137330121
|
||||
| hint_diagram | html |
HTML node
|
||||
| length_2 | integer |
3
|
Generated value: html
- h1
- h2
This variable doesn't seem to be used anywhere.
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
{name} walks on a bearing of {deg(h1)} for 4 km, then turns and walks on a bearing of {deg(h2)} for {length_2} km.
If {they} {if(neutral,'wish','wishes')} to return directly to {their} starting point, on what bearing should {they} walk, and for what distance?
Walk for
Give your answer to 3 significant figures.
Use this tab to check that this question works as expected.
| Part | Test | Passed? |
|---|---|---|
| Gap-fill | ||
| Hasn't run yet | ||
| Number entry | ||
| Hasn't run yet | ||
| Number entry | ||
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| Information only |
This question is used in the following exams:
- Eukleides extension by Christian Lawson-Perfect in Demos.
- More advanced demo by Christian Lawson-Perfect in Demos.
- Melissa's copy of Eukleides extension by Melissa Heath in Melissa's workspace.
- Paul's copy of Interactive graphics - MSP away day 2023 by Paul Verheyen in Paul's workspace.
- Interactive graphics - MSP away day 2023 by Christian Lawson-Perfect in MSP Away day May 2023.