Number puzzle (8)

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Adelle Colbourn

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Adelle Colbourn

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Ready to use

5 years ago

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Adelle Colbourn 4 years, 6 months ago

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Adelle Colbourn 5 years ago

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Adelle Colbourn 5 years ago

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Question statement

Jill is thinking of a number. If this number is doubled, then reduced by one, then squared, the answer is $\var{answer}$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

			number	integer	10
			answer	number	361

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(3..10)

JME function reference

Description

The answer to the puzzle. That is, the original number.

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`

→ Used by:

answer

This variable doesn't seem to be used anywhere.

Parts

Choose one from a list

Choose one from a list

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

Which number was Jill thinking of?

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Show correct answer on reveal?

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Advanced settings

Selection type

Number of display columns

Custom marking matrix?

$\var{number}$

Marks: Distractor Message:
$\var{number-1}$

Marks: Distractor Message:
$\var{number+1}$

Marks: Distractor Message:
$\var{number*2}$

Marks: Distractor Message:

Advice

This problem can be solved with algebra, or by carefully working backwards.

However, this is an example of a problem where it might be quicker to test each answer, and see which one works. Did you use this strategy?

For example, test the number $\var{number-1}$ to see if it is the solution.

First we double the number: $2 \times \var{number-1} = \var{2*(number-1)}$ .

Then we reduce it by one: $\var{2*(number-1)} - 1 = \var{2*(number-1)-1}$ .

Next we square this answer: $\var{2*(number-1)-1}^2 = \var{2*(number-1)-1} \times \var{2*(number-1)-1} = \var{(2*(number-1)-1)*(2*(number-1)-1)}$ .

However, we were expecting $\var{answer}$ , so $\var{number-1}$ (the number we just tested) is not the correct solution.

If you continue in this way to test the other options, you will discover that the number $\var{number}$ works.

Give a worked solution to the whole question.

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This question is used in the following exam:

LANTITE workshop pre-quiz by Adelle Colbourn in Odds and Ends.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Adelle Colbourn 4 years, 6 months ago

Adelle Colbourn 5 years ago

Adelle Colbourn 5 years ago

Error in variable testing condition

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Generated value: `integer`

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Number puzzle (8)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Adelle Colbourn 4 years, 6 months ago

Adelle Colbourn 5 years ago

Adelle Colbourn 5 years ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Choose one from a list

Advanced settings

Generated value: `integer`