Consumer Arithmetic - Rounding and estimating calculations - adding up prices in a shop

Error

There was an error loading the page.

Contributors

History

○

Paul Hancock 6 years, 9 months ago

Created this as a copy of Rounding and estimating calculations - adding up prices in a shop.

Name	Status	Author	Last Modified
Rounding and estimating calculations 2	Should not be used	Stanislav Duris	20/11/2019 14:42
Rounding and estimating calculations - adding up prices in a shop	Ready to use	Christian Lawson-Perfect	20/11/2019 14:42
Rounding and estimating calculations - painting a room	Ready to use	Christian Lawson-Perfect	20/11/2019 14:42
Consumer Arithmetic - Rounding and estimating calculations - adding up prices in a shop	draft	Paul Hancock	24/07/2018 03:04
David's copy of Rounding and estimating calculations - painting a room	draft	David Rickard	07/11/2018 21:04

There are 3 other versions that do you not have access to.

Question statement

Imagine you are shopping at the supermarket. You only have ${cash} in cash. There are two items in your basket so far, costing {currency(p[0],"$","c")} and {currency(p[1],"$","c")}.

Just before checkout, you notice a tasty {flavour} ice cream on the shelf. It costs {currency(ice_cream,"$","c")}. Can you put this in your basket without going over your limit?

Give any introductory information the student needs.

			Name	Type	Generated Value

p	list	[ 169/100, 89/50 ]
ice_cream	rational	139/100
total_rounded_up	decimal	dec("4.9")
can_afford	boolean	false
cash	decimal	dec("4")
flavour	string	cookie dough

			Name	Type	Generated Value

			Name	Type	Generated Value

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
repeat((random(30..200 #10) + random(1..9))/100,2)

JME function reference

Description

Prices of the first two items.

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `list`

[ 169/100, 89/50 ]

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Choose one from a list
  Add
Part b) Gap-fill
1. Gap Number entry
  Add
Part c) Gap-fill
1. Gap Choose one from a list
  Add

Gap-fill

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

If we don't want to underestimate the total price of these items, do we round the individual prices up, or down?

Unnamed gap

Advice

a)

We want to ensure we won't go over the limit, so it is better to overestimate. If we underestimated, we could potentially think we have enough money when we don't.

To overestimate our total, we round each price up.

b)

We round up all our values to 1 decimal place:

Original prices	£{p[0]}	£{p[1]}	£{ice_cream}
Rounded up	{pounds(precround(p[0]+0.05,1))}	{pounds(precround(p[1]+0.05,1))}	{pounds(precround(ice_cream,1))}

Now we calculate the total of these rounded numbers:

$\var{pounds(precround(p[0]+0.05,1))} + \var{pounds(precround(p[1]+0.05,1))} + \var{pounds(precround(ice_cream,1))} = \var{pounds(total_rounded_up)}$

c)

As the estimated total, £{dpformat(total_rounded_up,2)}, is {if(can_afford,'lower','higher')} than £{cash}, we {if(can_afford,'do have','may not have')} enough money to purchase the {flavour} ice cream.

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

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

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet

This question is used in the following exam:

Consumer Arithmetic - Quiz by Paul Hancock in Stage 5.

Loading...

Error

Consumer Arithmetic - Rounding and estimating calculations - adding up prices in a shop

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Paul Hancock 6 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Gap-fill

a)

b)

c)

Loading...

Error

Consumer Arithmetic - Rounding and estimating calculations - adding up prices in a shop

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Paul Hancock 6 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

a)

b)

c)

Generated value: `list`