Q4 & 5 Arithmetic

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TEAME CIT

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9 years, 2 months ago

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TEAME CIT 8 years, 5 months ago

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TEAME CIT 9 years, 2 months ago

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TEAME CIT 9 years, 5 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	7
a2	integer	6
Ans1a	number	542
b1	integer	3
B2	integer	8
Ans2b	number	56
C1	integer	9
C2	integer	6
Ans3b	integer	72
D1	integer	11
D2	integer	9
Ans4b	integer	132
E1	integer	5
E2	integer	7
Ans5	integer	1900
a3	integer	12
a4	integer	10
b3	integer	7
b4	integer	4
b5	integer	7
c3	integer	2
c4	integer	11
c5	integer	12
d3	integer	4
e3	integer	3
a5	integer	10
a6	integer	4
b6	integer	6
b7	integer	1
b8	integer	7
b9	integer	1
c6	integer	4
c7	integer	8
c8	integer	6
c9	integer	1
d4	integer	11
d5	integer	12
d6	integer	5
d7	integer	4
d8	integer	11
d9	integer	10
e4	integer	4
e5	integer	11
e6	integer	6
e7	integer	6
e8	integer	7
e9	integer	2
e10	integer	3
e11	integer	4
e12	integer	3
f1	integer	4
f2	integer	12
f4	integer	5
f5	integer	10
f3	integer	4
f6	integer	6
ans1b	number	420
ans6	integer	520
ans2a	number	425
ans3a	integer	7616
ans4a	integer	7398
ans4c	integer	13596
ans4d	integer	66582
ans3c	number	72
ans3d	number	7028
ans5a	integer	77
ans5b	integer	660
ans5c	integer	28
ans5d	integer	53200
ans5e	integer	50820
ans6a	integer	672
ans1	integer	1
ans11	number	122
ans2	number	7
ans22	number	33
ans3	integer	97
ans33	number	44
ans4	integer	0
ans44	number	13596
ans555	integer	1
ans55	number	2380
ans666	integer	0
ans66	number	520

Automatically regenerate variables?

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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.

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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

Taxonomy: Kind of activity

Taxonomy: Context

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TEAME CIT 8 years, 5 months ago

TEAME CIT 9 years, 2 months ago

TEAME CIT 9 years, 5 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, 5 months ago

TEAME CIT 9 years, 2 months ago

TEAME CIT 9 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`