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Educator section


  • a) (i) 1 8 size 12{ { { size 8{1} } over { size 8{8} } } } {} / 12 , 5 100 size 12{ { { size 8{"12",5} } over { size 8{"100"} } } } {} / 125 1000 size 12{ { { size 8{"125"} } over { size 8{"1000"} } } } {}

(ii) 3 20 size 12{ { { size 8{3} } over { size 8{"20"} } } } {}

  1. 15

( 1 4 size 12{ { { size 8{1} } over { size 8{4} } } } {} of 60)

  1. 9


22.2 a) 1 10 size 12{ { { size 8{1} } over { size 8{"10"} } } } {} of 24 = 2,4

2 hour 24 minutes

b) Fieldwork


c) 1 8 size 12{ { { size 8{1} } over { size 8{8} } } } {}

  1. 3,6 hour

3 hour 36 minutes

Leaner section


Activity: pie graph with percentage (%) [lo 2.6, lo 5.8, lo 5.9]


22.1 Study the following pie graph with a friend and then answer the questions that follow:

The music taste of a Grade 7 class:

a) What fraction of the learners likes

(i) classical music? .........................

(ii) spiritual music? .........................

b) If there are 60 learners in the class, how many listen to “rap”?

c) What is the difference between the number of learners who listen to “Boere” music and to “rap”?

d) What kind of music is your favourite?

22.2 Now look at this pie graph that shows the South African cricket team’s daily routine. Answer the following questions:

a) How many hours each day is allowed for relaxing?

b) What do they spend the equal amount of time on?

c) What fraction of the day is spent on bowling practise?

d) How many hours per day are allocated to fitness exercises?


Can you draw a column graph from one of the pie graphs?

24. Time for self-assessment

  • Tick the applicable block:
I can calculate % of amounts (15.1 – 15.3).
I can write one amount as a % of another amount (16.1 – 16.3).
I can calculate % discount.
I can calculate % increase.
I can calculate profit.
I can calculate loss.
I can calculate VAT on items.
I can interpret pie graphs and answer questions based on them.
I can draw a column graph.


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 5.8: We know this when the learner draws a variety of graphs by hand/technology to display and interpret data (group and ungrouped) including:

5.8.3 pie charts;

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

what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
yes that's correct
I think
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
scanning tunneling microscope
how nano science is used for hydrophobicity
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
what is differents between GO and RGO?
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
The nanotechnology is as new science, to scale nanometric
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
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 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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