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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

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
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
characteristics of micro business
for teaching engĺish at school how nano technology help us
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
what is the actual application of fullerenes nowadays?
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
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?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
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
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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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