Simon's copy of Summation notation 2

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Simon Thomas 5 years, 11 months ago

Created this as a copy of Summation notation 2 .

Name	Status	Author	Last Modified
Summation notation 2	Ready to use	Julie Crowley	08/10/2016 21:51
Summation notation 3	Ready to use	Julie Crowley	23/04/2020 22:34
Simon's copy of Summation notation 2	draft	Simon Vaughan	10/10/2018 22:41
Simon's copy of Summation notation 2	draft	Simon Thomas	27/03/2019 10:50

There are 9 other versions that do you not have access to.

Question statement

Six adults spent {x1}, {x2}, {x3}, {x4}, {x5} and {x6} euros on lottery tickets last month. Let $y$ denote last month's lottery ticket expenses for an adult.

Give any introductory information the student needs.

			Name	Type	Generated Value

x2	integer	10
x3	integer	7
x1	integer	1
x6	integer	6
x4	integer	10
x5	integer	8

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

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`

→ Used by:

Statement
Advice
"Unnamed part" → "Gap 0." - Minimum accepted value
"Unnamed part" → "Gap 0." - Maximum accepted value
"Unnamed part" → "Gap 1." - Minimum accepted value
"Unnamed part" → "Gap 1." - Maximum accepted value
"Unnamed part" → "Gap 2." - Minimum accepted value
"Unnamed part" → "Gap 2." - Maximum accepted value

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add

Gap-fill

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

Find

(a)

$\sum y =$ Gap 0.

(b)

$(\sum y)^2 =$ Gap 1.

(c)

$\sum y^2 =$ Gap 2.

Advice

The symbol $\Sigma$ means 'sum of' or 'total'.

(a)

$\sum y$ means add up the $y$ values.

$\var{x1}+\var{x2}+\var{x3}+\var{x4}+\var{x5}+\var{x6}=\var{x1+x2+x3+x4+x5+x6}$

(b)

$(\sum y)^2$ means add up the $y$ values and then square your answer.

Using your answer in part (a), $\var{x1+x2+x3+x4+x5+x6}^2=\var{(x1+x2+x3+x4+x5+x6)^2}$

(c)

$\sum y^2$ means square each of the $y$ values then add them up.

$\var{x1}^2+\var{x2}^2+\var{x3}^2+\var{x4}^2+\var{x5}^2+\var{x6}^2=\var{x1^2}+\var{x2^2}+\var{x3^2}+\var{x4^2}+\var{x5^2}+\var{x6^2}=\var{x1^2+x2^2+x3^2+x4^2+x5^2+x6^2}$

Note this does not give the same answer as the calculation in (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

This question is used in the following exam:

Descriptive statistics by Simon Thomas in Maths support.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Simon Thomas 5 years, 11 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Simon's copy of Summation notation 2

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Simon Thomas 5 years, 11 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`