NUMBAS - Circles - Numbas at mathcentre.ac.uk

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Katy Dobson 6 years, 9 months ago

Created this as a copy of Graphing: circles - simple recognition of radius and centre.

Name	Status	Author	Last Modified
Graphing: circles - simple recognition of radius and centre	Ready to use	Ben Brawn	20/03/2025 02:30
NUMBAS - Circles	draft	Katy Dobson	31/07/2018 09:40
Identificar el centro y radio de una Circunferencia ....	Ready to use	Luis Hernandez	19/06/2023 01:39
Circunferencia - simple reconocimiento del radio y centro	draft	Xiaodan Leng	10/07/2019 22:41
Circle - radius, centre and extreme points	draft	Xiaodan Leng	10/07/2019 22:56
Circle - radius, centre and extreme points	draft	Xiaodan Leng	10/07/2019 22:56
Graphing: circles - simple recognition of radius and centre	draft	Xiaodan Leng	11/07/2019 00:13

There are 13 other versions that do you not have access to.

Question statement

You are given the equation $\simplify{(x-{a})^2+(y-{b})^2={rs}}$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	5
b	integer	9
r	integer	6
rs	number	36

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(-12..12)

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`

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
3. Gap Gap 2. Number entry
  Add
Part b) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add
4. Gap Gap 3. Number entry
  Add
5. Gap Gap 4. Number entry
  Add
6. Gap Gap 5. Number entry
  Add
7. Gap Gap 6. Number entry
  Add
8. Gap Gap 7. Number entry
  Add

Gap-fill

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

The equation $\simplify{(x-{a})^2+(y-{b})^2={rs}}$ is the equation of a circle with radius Gap 0. centred at the point $\large($ Gap 1., Gap 2. $\large)$ .

Advice

The equation of a circle with radius $r$ and centre $(a,b)$ is $(x-a)^2+(y-b)^2=r^2$ .

This means the top of the circle will be at the point $(a,b+r)$ .
This means the bottom of the circle will be at the point $(a,b-r)$ .
This means the far left of the circle will be at the point $(a-r,b)$ .
This means the far right of the circle will be at the point $(a+r,b)$ .

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
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
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		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 exam:

RESIT problem set - circles and trig by Katy Dobson in Katy's workspace.

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Error

NUMBAS - Circles

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Katy Dobson 6 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

NUMBAS - Circles

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Katy Dobson 6 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`