Q7 (Calculate the estimate, actual and from these the percentage error)

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TEAME CIT

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TEAME CIT 8 years, 5 months ago

Published this.

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TEAME CIT 9 years, 3 months ago

Created this as a copy of Q16 (Calculate the estimate, actual and from these the percentage error).

Name	Status	Author	Last Modified
Q9 (Percentage error in area of circle)	draft	TEAME CIT	11/10/2016 22:42
Q11 & 12 (Percentage Error with multipling and rounding-off)	draft	TEAME CIT	11/10/2016 22:47
Q1 (Percentage Error)	draft	TEAME CIT	07/10/2016 23:19
Q4 (Percentage error when estimating total cost of shop items)	draft	TEAME CIT	07/10/2016 23:18
Q5 percentage error	draft	TEAME CIT	08/10/2016 19:57
Q6 (Calculate the minimum and maximum approximations of an estimate)	draft	TEAME CIT	08/10/2016 19:57
Q7 (Calculate the estimate, actual and from these the percentage error)	draft	TEAME CIT	08/10/2016 19:58
Q8 (Calculate the estimate, actual and the percentage error from these)	draft	TEAME CIT	08/10/2016 19:58
Simon's copy of Q1 (Percentage Error)	draft	Simon Thomas	20/02/2019 11:19
Simon's copy of Q4 (Percentage error when estimating total cost of shop items)	draft	Simon Thomas	20/02/2019 11:53
Simon's copy of Q5 percentage error	draft	Simon Thomas	20/02/2019 11:58
Simon's copy of Q6 (Calculate the minimum and maximum approximations of an estimate)	draft	Simon Thomas	20/02/2019 12:09
Simon's copy of Q7 (Calculate the estimate, actual and from these the percentage error)	draft	Simon Thomas	20/02/2019 12:34
Simon's copy of Q8 (Calculate the estimate, actual and the percentage error from these)	draft	Simon Thomas	20/02/2019 11:35

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

Question statement

By rounding each number correct to one significant figure, estimate the answer to each of the problems given below. Then use your calculator to accurately evaluate each of them.

Calculate the percentage error in using the estimate, correct to one decimal place.

Give any introductory information the student needs.

			Name	Type	Generated Value

num1	integer	437
num2	integer	458
num3	number	42
num4	integer	79
num5	number	133.98
num7	number	62.42
num6	number	26.07
num8	number	67.7
num9	number	62.6
num10	number	16.6
num11	number	71.2
num12	number	3.8
num13	number	3.6
num14	number	11.6
num15	integer	372
num16	integer	294
num17	integer	59
num18	integer	261
num19	number	5.23
num20	number	74.61
num21	number	847.1
ans11	number	62.5
ans21	number	2.1666666667
ans31	number	210
ans41	number	4.7142857143
ans51	number	0.2777777778
ans61	number	2.1875
ans12	number	60.3212778782
ans22	number	2.564082025
ans32	number	255.3024096386
ans42	number	4.4342105263
ans52	rational	39/160
ans62	number	2.4091605112
ans13	number	3.6118633398
ans23	number	15.4993231282
ans33	number	17.7446071515
ans43	number	6.3162356931
ans53	decimal	dec("1.396011396011396923076923076923076923077e+1")
ans63	number	9.2007365275

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
hun()

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`

437

→ Used by:

ans11
ans12

Advice
"Part a)" - 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
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
Part c) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add
Part d) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add
Part e) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add
Part f) 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.

$\frac{\var{num1} \times \var{num2}}{\var{num3} \times \var{num4}}$

Estimate: Gap 0.

Actual: Gap 1.

% Error: Gap 2.%

Advice

When rounding off a number to one significant place, round to the left most figure of the number, like below;

$367 = 400$

$38 = 40$

$71 = 70$

$3.79 = 4$

$65.13 = 70$

$215 = 200$

Part 1:

Estimate value with each number rounded to one significant place:

$\frac{(\var{num1} \times \var{num2})}{(\var{num3} \times \var{num4})}$

Round numbers to one significant number:

$\var{num1} =$ {siground(num1,1)}

$\var{num2} =$ {siground(num2,1)}

$\var{num3} =$ {siground(num3,1)}

$\var{num4} =$ {siground(num4,1)}

Answer:

$= \var{ans11}$

Part 2:

Actual value:

$\frac{(\var{num1} \times \var{num2})}{(\var{num3} \times \var{num4})} = \var{ans12}$

Part 3:

Percentage error:

$abs(\frac{\var{ans12} - \var{ans11}}{\var{ans11}}) \times 100 = \var{ans13}$ %

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:

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Q7 (Calculate the estimate, actual and from these the percentage error)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

TEAME CIT 8 years, 5 months ago

TEAME CIT 9 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Q7 (Calculate the estimate, actual and from these the percentage error)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

TEAME CIT 8 years, 5 months ago

TEAME CIT 9 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`