Q3.Homework7

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Patrick Joyce

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Patrick Joyce 7 years, 8 months ago

Created this as a copy of Calculate powers of ten.

Name	Status	Author	Last Modified
Square and cube numbers	Ready to use	Stanislav Duris	20/11/2019 14:43
Calculate powers of ten	Ready to use	Stanislav Duris	20/11/2019 14:34
Always, sometimes or never: square and cube numbers	Ready to use	Stanislav Duris	20/11/2019 14:32
Positieve en negatieve machten van 10	draft	Johan Maertens	30/12/2022 10:15
Q3.Homework7	draft	Patrick Joyce	07/08/2017 16:32
Q17.(new)	draft	Patrick Joyce	10/08/2017 15:53
Q18.(new)	draft	Patrick Joyce	10/08/2017 15:56
Q17.(new)	Ready to use	Patrick Joyce	05/12/2017 12:47
Q18.(new)	Ready to use	Patrick Joyce	05/12/2017 12:48
Q19.(new)	Ready to use	Patrick Joyce	05/12/2017 12:50
Q20.(new)	Ready to use	Patrick Joyce	30/11/2017 17:16
Grainne's copy of Q19.(new)	draft	Grainne Scanlon	16/01/2018 13:45
Louise's copy of Calculate powers of ten	draft	Louise Lynch	26/01/2022 19:48
Always, sometimes or never: square and cube numbers	draft	Xiaodan Leng	11/07/2019 01:45
Square and cube numbers 1	draft	Leonardo Juliano	19/09/2019 16:05
Immer, manchmal oder nie? (Quadratzahlen und dritte Potenzen)	Ready to use	Ulrich Görtz	30/09/2024 20:07

There are 10 other versions that do you not have access to.

Question statement

Answer the following:

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	2
g	list	[ 3, 1, 2 ]
gp	list	[ 2, 3, 3 ]
h	list	[ 3, 2, 1 ]
hp	list	[ -3/2, -3/2, 3 ]
b	integer	1
k	integer	2
l	integer	3
m	integer	3
n	integer	-3
o	integer	-3
p	integer	3

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`

This variable doesn't seem to be used anywhere.

Parts

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

Gap-fill

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

Use the table below to find $f'(\var{a})$ and $w'(\var{b})$ if $f(x)=g(h(x))$ and $w(x)=h(g(x))$ .

$x$	$g(x)$	$g'(x)$	$h(x)$	$h'(x)$
1	3	$\var{gp[0]}$	3	$\var{hp[0]}$
2	1	$\var{gp[1]}$	2	$\var{hp[1]}$
3	2	$\var{gp[2]}$	1	$\var{hp[2]}$

$f'(\var{a})=$ Gap 0.

$w'(\var{b})=$ Gap 1.

Advice

When $n$ is positive, we multiply $10$ by itself $n$ times,

$\text{e.g. } 10^3 = 10 \times 10 \times 10 = 1000 \text{ .}$

When $n$ is negative, we can think of $10^{-n}$ as $\frac{1}{10^{n}}$ ,

$\text{e.g. } 10^{-3} = \frac{1}{10^3} = \frac{1}{1000} = 0.001\text{ .}$

When $n = 0$ :

$10^{0} = 1 \text{ .}$

Generally, we can think of $10^n$ as a number in standard form $1 \times 10^n$ . Then $n$ always tells us the number of decimal places to move the decimal point in $1.0$ , for example

$10^{-3} = 1.0 \times 10^{-3} \text{ and since } n = - 3 \text{, we go } 3 \text{ places back as follows: } 1.0 ⇒ 0.1 ⇒ 0.01 ⇒ 0.001 \text{ .}$

A complete table of powers of ten for $n$ from $-6$ to $6$ is:

$n$	$10^n$
$-6$	$0.000001$
$-5$	$0.00001$
$-4$	$0.0001$
$-3$	$0.001$
$-2$	$0.01$
$-1$	$0.1$
$0$	$1$
$1$	$10$
$2$	$100$
$3$	$1000$
$4$	$10000$
$5$	$100000$
$6$	$1000000$

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

This question is used in the following exam:

Problem Set 7.(old) by Patrick Joyce in Problem Sheet 7.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Patrick Joyce 7 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Q3.Homework7

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Patrick Joyce 7 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`