Q8 (Calculate the estimate, actual and the percentage error from these)

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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 Q7 (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 two 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 two decimal place.

Give any introductory information the student needs.

			Name	Type	Generated Value

num1	number	35.9
num2	number	26.85
num3	number	0.0096
num4	integer	74
num5	integer	159
num7	number	88.5
num6	integer	229
num8	number	7.53
num9	number	21.765
num10	number	14.45
num11	integer	415
num12	number	22.25
num13	number	22.65
num14	number	23.39
num15	integer	309
num16	integer	239
num17	integer	53
num18	integer	274
num19	number	6.6
num20	number	43.61
num21	number	890.1
ans11	number	937.5
ans21	number	4.3820224719
ans31	number	11.7857142857
ans41	number	401.7391304348
ans51	number	0.2857142857
ans61	number	2.1777777778
ans12	number	942.7083333333
ans22	number	4.384180791
ans32	number	11.341899654
ans42	number	407.6710816777
ans52	rational	70/327
ans62	number	2.1342002022
ans13	number	0.5524861878
ans23	number	0.0492297
ans33	number	3.9130537677
ans43	number	1.4550826658
ans53	decimal	dec("3.346938775510203414285714285714285714284e+1")
ans63	number	2.0418691512

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(33.1..36.9#0.1 except 34 except 35 except 36)

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: `number`

35.9

→ 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

Gap-fill

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

$\frac{\var{num1} - \var{num2}}{\var{num3}}$

Estimate: Gap 0.

Actual: Gap 1.

% Error: Gap 2.%

Advice

When rounding off a number to two significant place, round to the left 2 most figure of the number, like below;

$367 = 370$

$381 = 380$

$715 = 720$

$3.79 = 3.8$

$65.13 = 65$

$215 = 220$

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(num1,2)}

$\var{num2} =$ {siground(num2,2)}

$\var{num3} =$ {siground(num3,2)}

$\var{num4} =$ {siground(num4,2)}

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:

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
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
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
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
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Number entry
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This question is used in the following exams:

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Q8 (Calculate the estimate, actual and the percentage error from these)

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: `number`

Parts

Gap-fill

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Error

Q8 (Calculate the estimate, actual and the percentage error from these)

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: number

Parts

Gap-fill

Generated value: `number`