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1. a) 5% b) 12%

  1. 73, 3 . size 12{ {3} cSup { size 8{ "." } } } {} %

2. a) 2 25 size 12{ { { size 8{2} } over { size 8{"25"} } } } {} b) 9 20 size 12{ { { size 8{9} } over { size 8{"20"} } } } {}

3. 0,5; 1 4 size 12{ { { size 8{1} } over { size 8{4} } } } {} ; 1 5 size 12{ { { size 8{1} } over { size 8{5} } } } {} ; 15%

4. a) R70

  1. R58,50

5. 42%

6. R297,50

7. R36,29 (ronded off)

8. 20%



Leaner section


Activity: research task and module test [lo 1.5, lo 2.6, lo 5.9]

25. A bigger challenge!

Do the following as a separate research task. Use your own paper, or folio supplied by your educator. Remember to work neatly!

a) You are going to start a business – open a shop. Decide on your own what kind of shop it will be.

b) Do market research and supply a list of items that you will buy for your shop. (choose only five) Give each item a realistic cost price.

c) Now add 14 % VAT to each item and list it in a table, e.g.:

Item Cost Price With VAT

d) Decide what you will sell each item for. Give a clear explanation of your cost price and selling price by means of a line graph. (Hint : use different colours)

e) Calculate how much % profit you will make on each item, e.g.

Item % Profit

f) Design an advertisement that will announce the opening of your new shop.

g) Now work out a monthly budget for your shop – how much money you need to let everything go smoothly. (Hint : think about water and lights, telephone, employees, etc.)


1. Write the following as percentage (%):

a) 0,05 : ......................... b) 3 25 size 12{ { { size 8{3} } over { size 8{"25"} } } } {} : ......................... (2)

c) 11 15 size 12{ { { size 8{"11"} } over { size 8{"15"} } } } {} : ......................... (2)

2. Convert to a common fraction and simplify:

a) 8% : ......................... b) 45% : .........................

......................... ......................... (4)

3. Rearrange from big to small:

1 5 size 12{ { { size 8{1} } over { size 8{5} } } } {} ; 15% ; 0,5 ; 1 4 size 12{ { { size 8{1} } over { size 8{4} } } } {}


4. Calculate:

a) 20% of R350


b) 12 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {} % of R468


5. What % is 840 g of 2 kg?


6. I get 15 % discount on a pair of shoes that are marked at R350. How much must I pay for the shoes?


7. The price of cheese is R32,99 / kg at present. It will increase by 10 % shortly. What is the new price / kg going to be?


8. A furniture dealer buys a lounge suite for R12 000 and sells it for R15 000. What % profit does he make?


9. Write down the formula for % discount.



Learning Outcome 1: The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.

Assessment Standard 1.5: We know this when the learner solves problems in context including contexts that may be used to build awareness of other Learning Areas, as well as human rights, social, economic and environmental issues;

Learning Outcome 2: The learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.

Assessment Standard 2.6: We know this when the learner describes a situation by interpreting a graph of the situation, or draws a graph from a description of a situation (e.g. height of a roller-coaster car over time; the speed of a racing car going around a track);

Learning Outcome 5: The learner will be able to collect, summarise, display and critically analyse data in order to draw conclusions and make predictions, and to interpret and determine chance variation.

Assessment Standard 5.9: We know this when the learner critically reads and interprets data presented in a variety of ways to draw conclusions and make predictions.

Questions & Answers

how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
many many of nanotubes
what is the k.e before it land
what is the function of carbon nanotubes?
I'm interested in nanotube
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
what is system testing
what is the application of nanotechnology?
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
anybody can imagine what will be happen after 100 years from now in nano tech world
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
silver nanoparticles could handle the job?
not now but maybe in future only AgNP maybe any other nanomaterials
I'm interested in Nanotube
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
can nanotechnology change the direction of the face of the world
Prasenjit Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Mathematics grade 7. OpenStax CNX. Sep 16, 2009 Download for free at http://cnx.org/content/col11075/1.1
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