Simon's copy of Q4 & 5 Arithmetic

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Simon Thomas 6 years, 1 month 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.

Give your answers as mixed fractions, writing the whole number part in the first box, and the fraction part in the second box.

If there is no whole number part, place 0 in the first box.

E.g. $\frac{7}{2} = 3\frac{1}{2} =>$ first box $=3$ , second box $=\frac{1}{2}$

E.g. $\frac{1}{3} =>$ first box $=0$ , second box $=\frac{1}{3}$

Give any introductory information the student needs.

			Name	Type	Generated Value

A1	integer	5
a2	integer	3
Ans1a	number	27
b1	integer	4
B2	integer	3
Ans2b	number	15
C1	integer	4
C2	integer	3
Ans3b	integer	9
D1	integer	3
D2	integer	6
Ans4b	integer	15
E1	integer	7
E2	integer	7
Ans5	integer	1650
a3	integer	3
a4	integer	2
b3	integer	1
b4	integer	5
b5	integer	5
c3	integer	1
c4	integer	9
c5	integer	3
d3	integer	3
e3	integer	1
a5	integer	9
a6	integer	6
b6	integer	4
b7	integer	3
b8	integer	3
b9	integer	2
c6	integer	2
c7	integer	5
c8	integer	6
c9	integer	2
d4	integer	6
d5	integer	5
d6	integer	4
d7	integer	6
d8	integer	3
d9	integer	1
e4	integer	4
e5	integer	7
e6	integer	5
e7	integer	5
e8	integer	7
e9	integer	5
e10	integer	7
e11	integer	4
e12	integer	3
f1	integer	6
f2	integer	6
f4	integer	4
f5	integer	6
f3	integer	3
f6	integer	4
ans1b	number	45
ans6	integer	234
ans2a	number	97
ans3a	integer	377
ans4a	integer	646
ans4c	integer	315
ans4d	integer	3876
ans3c	number	18
ans3d	number	658
ans5a	integer	49
ans5b	integer	1240
ans5c	integer	28
ans5d	integer	46200
ans5e	integer	60760
ans6a	integer	168
ans1	integer	0
ans11	number	27
ans2	number	6
ans22	number	7
ans3	integer	36
ans33	number	10
ans4	integer	0
ans44	number	315
ans555	integer	0
ans55	number	46200
ans666	integer	1
ans66	number	66

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
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2. Gap Gap 1. Number entry
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Part c) Gap-fill
1. Gap Gap 0. Number entry
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2. Gap Gap 1. Number entry
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Part d) Gap-fill
1. Gap Gap 0. Number entry
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2. Gap Gap 1. Number entry
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Part e) Gap-fill
1. Gap Gap 0. Number entry
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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 convert any mixed numbers to improper fractions e.g. $1\frac{2}{3} = \frac{5}{3}$

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

Next, transform each fraction into an equivalent fraction with the denominator equal to this 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 multiplying fractions, multiply 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 there are more 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, flip the SECOND fraction upside down and then follow the rules for multiplying fractions 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.

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

Give a worked solution to the whole question.

URL

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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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This question is used in the following exam:

Arithmetic 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 6 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Simon's copy of Q4 & 5 Arithmetic

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Simon Thomas 6 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`