Q4 & 5 Arithmetic

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TEAME CIT

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9 years, 5 months ago

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TEAME CIT 8 years, 7 months ago

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TEAME CIT 9 years, 5 months ago

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TEAME CIT 9 years, 8 months ago

Created this as a copy of Q3 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	4
a2	integer	2
Ans1a	number	214
b1	integer	3
B2	integer	9
Ans2b	number	990
C1	integer	9
C2	integer	6
Ans3b	integer	36
D1	integer	7
D2	integer	6
Ans4b	integer	40
E1	integer	10
E2	integer	9
Ans5	integer	5684
a3	integer	9
a4	integer	7
b3	integer	4
b4	integer	3
b5	integer	10
c3	integer	1
c4	integer	12
c5	integer	6
d3	integer	5
e3	integer	8
a5	integer	7
a6	integer	3
b6	integer	1
b7	integer	1
b8	integer	11
b9	integer	7
c6	integer	5
c7	integer	10
c8	integer	5
c9	integer	4
d4	integer	12
d5	integer	10
d6	integer	2
d7	integer	5
d8	integer	4
d9	integer	2
e4	integer	11
e5	integer	5
e6	integer	3
e7	integer	11
e8	integer	7
e9	integer	3
e10	integer	8
e11	integer	10
e12	integer	6
f1	integer	9
f2	integer	4
f4	integer	10
f5	integer	4
f3	integer	2
f6	integer	1
ans1b	number	252
ans6	integer	152
ans2a	number	4859
ans3a	integer	4235
ans4a	integer	2684
ans4c	integer	1880
ans4d	integer	16104
ans3c	number	180
ans3d	number	19231
ans5a	integer	45
ans5b	integer	6880
ans5c	integer	70
ans5d	integer	397880
ans5e	integer	309600
ans6a	integer	164
ans1	integer	0
ans11	number	214
ans2	number	4
ans22	number	899
ans3	integer	106
ans33	number	151
ans4	integer	0
ans44	number	1880
ans555	integer	1
ans55	number	88280
ans666	integer	0
ans66	number	152

Automatically regenerate variables?

Name

Data type

Value

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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.

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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
resources/question-resources/

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This question is used in the following exams:

math6000 (ws1) by TEAME CIT in David's workspace.
MATH6000 Assessment 1 by TEAME CIT in MATH6000 Essential Mathematical Skills.
Math6000(ws1) Basic Arithmetic by Julie Crowley in MATH6000 Essential Mathematical Skills.
Arithmetic by Deirdre Casey in Deirdre's workspace.
Fundamentals of Arithmetic Assessment by Aoife O'Brien in Aoife's workspace.
Apprentice Year 1 Arithmetic by Aoife O'Brien in Aoife's workspace.
Arithmetic by Katie Bullen in Katie's workspace.

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Taxonomy: mathcentre

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Taxonomy: Context

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TEAME CIT 8 years, 7 months ago

TEAME CIT 9 years, 5 months ago

TEAME CIT 9 years, 8 months ago

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Generated value: `integer`

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Q4 & 5 Arithmetic

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

TEAME CIT 8 years, 7 months ago

TEAME CIT 9 years, 5 months ago

TEAME CIT 9 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`