BODMAS: Percentages

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Hayley Moore

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Chris Graham 3 years, 9 months ago

Published this.

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Hayley Moore 9 years, 8 months ago

Created this.

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Question statement

Answer the following questions on percentages.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	20
b	integer	70
mint	integer	18
chocolate	integer	2
sweets	integer	20
num	integer	20
den	integer	99
n	integer	2
d	integer	6
per	decimal	dec("33")
marks	integer	97
increase	integer	15
new_mark	rational	2231/20
decimal	rational	20/99
gcd_per100	number	1
numerator	decimal	dec("33")
denominator	number	100
marks_increased	rational	291/20
p	integer	75
dec	rational	3/4
deciamal

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xxxxxxxxxx
 
random(1..20)*5

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Description

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Generated value: `integer`

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Parts

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Part e) Gap-fill
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Gap-fill

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

Find $\var{a}\%$ of $\var{b}$

Answer: Unnamed gap (2.d.p)

Advice

Questions of the form "find $\var{a}\%$ of $\var{b}$ ".

In order to answer this you multiply the number, $\var{b}$ , by the percentage over 100, $\dfrac{\var{a}}{100}$

$\var{b} \times \dfrac{\var{a}}{100} = \simplify{{a}*{b}/100}$

Remember: Give you answer to 2 decimal places.

Questions of the form "if a mixed bag of $\var{sweets}$ sweets contains $\var{mint}$ mints and $\var{chocolate}$ chocolates. What percentage of the contents is chocolate"

To calculate the percentage of chocolate sweets in the bag you must divide the number of chocolates by the total number of sweets and then multiply by $100%$ .

$\dfrac{\var{chocolate}}{\var{sweets}}\times 100 = \simplify{100*{chocolate}/{sweets}}.

Remember: Give you answer to 2 decimal places.

Questions of the form "convert $\dfrac{\var{num}}{\var{den}}$ into a percentage"

This question is very similar to part b). We already have the number in fractional form if we covert this into a decimal and multiply by $100\%$ we obtain the percentage

$\dfrac{\var{num}}{\var{den}} = \var{deciamal}\times 100\% = \simplify{{decimal}*100}\%$

Remember: Give you answer to 2 decimal places.

Questions of the form "convert $\var{per}\%$ into a fraction"

To do this you simply divide by $100$ .

$\var{per}\% = \dfrac{\var{per}}{100} = \dfrac{\var{numerator}}{\var{denominator}}$

Questions of the form "Last year the average mark in an exam was $\var{marks}$ . They have now increased by $\var{increase}$ percent. What is the current average mark?"

We start by finding $\var{increase}$ % of $\var{marks}$ .

$\var{marks}\times\dfrac{\var{increase}}{100} = \var{marks_increased}$

We then add this onto last years average marks to find this years

$\var{marks} + \var{marks_increased} = \var{new_mark}$

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This question is used in the following exams:

Percentages and Ratios by Hayley Moore in Hayley's workspace.
BODMAS by Hayley Moore in Hayley's workspace.
Yoav - Test BODMAS by Yoav Tadmor in Yoav's workspace.
Percentages and Ratios (Animal Science) by Stephanie Greaves in Stephanie's workspace.
Yoav - Practice BODMAS by Yoav Tadmor in Yoav's workspace.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Chris Graham 3 years, 9 months ago

Hayley Moore 9 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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BODMAS: Percentages

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Chris Graham 3 years, 9 months ago

Hayley Moore 9 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`