David's copy of Q4 & 5 Arithmetic

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David Rickard

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David Rickard 8 years, 5 months ago

Created this as a copy of Q4 & 5 Arithmetic.

Name	Status	Author	Last Modified
Q2 Arithmetic	draft	TEAME CIT	07/10/2016 23:12
Q3 Arithmetic	draft	TEAME CIT	07/10/2016 23:13
Q4 & 5 Arithmetic	Ready to use	TEAME CIT	09/10/2016 19:42
David's copy of Q2 Arithmetic	draft	David Rickard	08/10/2016 17:27
David's copy of Q3 Arithmetic	draft	David Rickard	08/10/2016 17:28
David's copy of Q4 & 5 Arithmetic	draft	David Rickard	08/10/2016 17:29
Q2 Arithmetic	draft	Simon Thomas	18/02/2019 12:33
Simon's copy of Q3 Arithmetic	draft	Simon Thomas	18/02/2019 12:37
Simon's copy of Q4 & 5 Arithmetic	draft	Simon Thomas	18/02/2019 15:12

There are 5 other versions that do you not have access to.

Question statement

Evaluate the following without using a calculator:

Answer in whole number and/or fraction!!

Remember the BODMAS rule

N.B.

First box is for whole number and second box is for fraction.

If no whole number place 0 in the first box.

E.g. $\frac{3}{2} =>$ first box $=1$ second box $=\frac{1}{2}$

E.g. $\frac{1}{2} =>$ first box $=0$ second box $=\frac{1}{2}$

Give any introductory information the student needs.

			Name	Type	Generated Value

A1	integer	9
a2	integer	5
Ans1a	number	82
b1	integer	8
B2	integer	5
Ans2b	number	40
C1	integer	7
C2	integer	12
Ans3b	integer	60
D1	integer	4
D2	integer	10
Ans4b	integer	49
E1	integer	7
E2	integer	5
Ans5	integer	3382
a3	integer	11
a4	integer	4
b3	integer	2
b4	integer	6
b5	integer	10
c3	integer	3
c4	integer	9
c5	integer	5
d3	integer	1
e3	integer	3
a5	integer	11
a6	integer	1
b6	integer	1
b7	integer	3
b8	integer	8
b9	integer	6
c6	integer	3
c7	integer	5
c8	integer	10
c9	integer	4
d4	integer	9
d5	integer	7
d6	integer	4
d7	integer	9
d8	integer	7
d9	integer	5
e4	integer	8
e5	integer	10
e6	integer	9
e7	integer	8
e8	integer	10
e9	integer	1
e10	integer	3
e11	integer	7
e12	integer	5
f1	integer	9
f2	integer	6
f4	integer	3
f5	integer	9
f3	integer	4
f6	integer	6
ans1b	number	99
ans6	integer	522
ans2a	number	430
ans3a	integer	4176
ans4a	integer	4556
ans4c	integer	2009
ans4d	integer	45560
ans3c	number	60
ans3d	number	3852
ans5a	integer	50
ans5b	integer	2106
ans5c	integer	70
ans5d	integer	236740
ans5e	integer	105300
ans6a	integer	198
ans1	integer	0
ans11	number	82
ans2	number	10
ans22	number	30
ans3	integer	64
ans33	number	12
ans4	integer	0
ans44	number	2009
ans555	integer	2
ans55	number	26140
ans666	integer	2
ans66	number	126

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
(pos())

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`

→ Used by:

Ans1a
a2
a5
ans1b

"Part a)" - prompt

Parts

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

$\simplify{{a2}/{a1}} + \simplify{{a4}/{a3}} - \simplify{{a6}/{a5}}$

Gap 0.Gap 1.

Advice

When adding and/or subtracting fractions, do the following;

First make sure the number is a fraction, including an improper fraction i.e. $1\frac{2}{3} = \frac{5}{3}$

Find the lowest common multiply of the denominator i.e. $\frac{5}{3} + \frac{1}{2} = \frac{}{6}$

Next, transform each number into the form of the LCM i.e. $\frac{5}{3} + \frac{1}{2} = \frac{10}{6} + \frac{3}{6}$

Add/subtract the numbers above the denominator i.e. $\frac{10}{6} + \frac{3}{6} = \frac{10 + 3}{6} = \frac{13}{6} = 2\frac{1}{6}$

When multipling fractions, multipy the numbers above the line by each other and then the numbers below the line by each other i.e.

$\frac{5}{3} \times \frac{1}{4} = \frac{5}{12}$

If possible simplify the answer i.e.

$\frac{5}{3} \times \frac{1}{5} = \frac{5}{15} = \frac{1}{3}$

If no than 2 fractions follow the same rules:

i.e. $\frac{5}{3} \times \frac{1}{4} \times \frac{2}{5} \times \frac{3}{2} = \frac{30}{120} = \frac{1}{4}$

When dividing fractions, invert the divisor and then follow the rules for multiplying fractions (multipy the numbers above the line by each other and then the numbers below the line by each other) i.e.

$\frac{5}{3} \div \frac{3}{4} = \frac{5}{3} \times \frac{4}{3} = \frac{20}{9}$

If possible simplify the answer i.e.

$\frac{5}{3} \div \frac{4}{21} = \frac{5}{3} \times \frac{21}{4} = \frac{105}{12} = \frac{35}{4} = 8\frac{3}{4}$

If no than 2 fractions follow the same rules:

i.e. $\frac{5}{3} \div \frac{1}{4} \div \frac{2}{5} \div \frac{3}{2} = \frac{5}{3} \times \frac{4}{1} \times \frac{5}{2} \times \frac{2}{3} = \frac{200}{18} = \frac{100}{9} = 11\frac{1}{9}$

$\frac{5}{3} \div \frac{1}{4} \times \frac{2}{7} = \frac{5}{3} \times \frac{4}{1} \times \frac{2}{7} = \frac{40}{21} = 1\frac{19}{20}$

Give a worked solution to the whole question.

URL

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There was an error which means the tests can't run:

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This question is used in the following exam:

Fundamentals of Arithmetic Assessment by Aoife O'Brien in Aoife's workspace.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

David Rickard 8 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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David's copy of Q4 & 5 Arithmetic

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

David Rickard 8 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`