Simon's copy of Q2 Convert from one measurement scale to another

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Simon Thomas 6 years, 1 month ago

Created this as a copy of Q2 Convert from one measurement scale to another.

Name	Status	Author	Last Modified
Q1 Convert from one measurement scale to another	draft	TEAME CIT	07/10/2016 23:08
Q2 Convert from one measurement scale to another	draft	TEAME CIT	15/11/2016 16:48
Simon's copy of Q1 Convert from one measurement scale to another	draft	Simon Thomas	20/02/2019 10:05
Simon's copy of Q2 Convert from one measurement scale to another	draft	Simon Thomas	20/02/2019 10:00

Question statement

Convert the following.

Do not answer in scientific notation.

Give any introductory information the student needs.

			Name	Type	Generated Value

num	list	List of 6 items
ans1	number	20000000
ans2	number	0.0447
ans3	number	15.5
ans4	number	26600000
ans5	number	11
ans6	number	49400000000
num2	list	List of 5 items
ans31	number	12.2
ans32	number	1.5
ans33	number	0.12
ans34	number	0.001305
ans35	number	0.00000105

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
shuffle(2000..60000#100)[0..6]

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`

[ 20000, 44700, 15500, 26600, 11000, 49400 ]

→ Used by:

ans1
ans2
ans3
ans4
ans5
ans6

Advice
"Part b)" - prompt

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
4. Gap Gap 3. Number entry
  Add
5. Gap Gap 4. 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

Gap-fill

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

i) $\var{num2[0]}$ $mm^2$ to $cm^2$ .

Gap 0. $cm^2$

ii) $\var{num2[1]}$ $mm^3$ to $cm^3$ .

Gap 1. $cm^3$

iii) $\var{num2[2]}$ $cm^2$ to $m^2$ .

Gap 2. $m^2$

iv) $\var{num2[3]}$ $cm^3$ to $m^3$ .

Gap 3. $m^3$

v) $\var{num2[4]}$ $mm^3$ to $m^3$ .

Gap 4. $m^3$

Advice

1m = 100cm and 1cm = 10mm, so 1m = 1000mm. When we are converting to larger units we must divide. Therefore:

To convert from cm $^2$ to m $^2$ we divide by $100^2$

To convert from mm $^2$ to m $^2$ we divide by $1000^2$

To convert from mm $^2$ to cm $^2$ we divide by $10^2$

To convert from cm $^3$ to m $^3$ we divide by $100^3$

To convert from mm $^3$ to m $^3$ we divide by $1000^3$

To convert from mm $^3$ to cm $^3$ we divide by $10^3$

1 litre is 1000cm $^3$ . Therefore:

To convert from litres we can multiply by 1000 at the start, then convert from cm $^3$ .

To convert to litres we can convert to cm $^3$ , then divide by 1000 at the end.

Part 1

i) $\frac{\var{num2[0]}}{10^2} = \var{ans31}$

ii) $\frac{\var{num2[1]}}{10^3} = \var{ans32}$

iii) $\frac{\var{num2[2]}}{100^2} = \var{ans33}$

iv) $\frac{\var{num2[3]}}{100^3} = \var{ans34}$

v) $\frac{\var{num2[4]}}{1000^3} = \var{ans35}$

Part 2

i) $\frac{\var{num[0]} \times 100^3}{1000} = \var{ans1}$

ii) $\frac{\var{num[1]}}{10^3\times1000} = \var{ans2}$

iii) $\frac{\var{num[2]}}{1000} = \var{ans3}$

iv) $\var{num[3]} \times 1000 = \var{ans4}$

v) $\frac{\var{num[4]}\times 1000}{100^3} = \var{ans5}$

vi) $\var{num[5]}\times 1000 \times 10^3 = \var{ans6}$

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

Conversions and Scientific Notation by Simon Thomas in Maths support.

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Simon's copy of Q2 Convert from one measurement scale to another

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

Loading...

Error

Simon's copy of Q2 Convert from one measurement scale to another

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`