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More geometry, data handling and probability

Educator section


20.3 (a) (i) a half (one out of 2)

(ii) a half (one out of 2)

(c) one quarter (one out of 6)

(d) 2 out of 21

20.4 (a) one sixth (one out of six)

20.5 six out of 36 (one sixth)



1. Check learner’s effort.

2. glide

3. (a) Only a part of the group was questioned to get information


(b) About the possibility that something might happen.

4. (a) 10

(b) 10

(c) 10,6

5. (a) picture graph / pictogram

(b) Learners are six years and older in grade 1. / Nobody is younger than six years.

(c) 110

(d) 30

(e) 680


7.4 4 out of 32 (one eigth).

Learners section


Activity: probability [lo 5.10, lo 5.9]


20.1 Class discussion

a) What chance do you have of passing Grade 7?

b) What is the chance that it will rain today?

c) What chance does your team (any sport) have of winning the next match?

d) What is your chance of winning the Lotto?

e) What is the chance that one day you will walk on the moon?

20.2.1 Did you know?

In the above cases, you have actually estimated the possibility that something will or will not happen.

20.2.2 Did you also know?

Probability stretches from “no chance” that something will happen to “it will definitely happen”.

A probability of 0 means that the happening will never occur.

A probability of 1 means that the happening will definitely occur.


The probability that something will happen depends on:

The number of times it can happen

Total number of possibilities

The closer you answer is to 1, the more likely it is

that the event/happening will take place.

20.3 Work with a friend and answer the following questions:

a) You throw a coin up into the air. What is the probability that it will fall:

i) heads up? ________________________

ii) tails up? _________________________

b) Throw a coin into the air 50 times. Your friend can help you keep record which side of the coin faced upwards each time it landed.

i) Complete the table:

Heads Tails
Heads Tails
E.g. 4 6 4 10 size 12{ { { size 8{4} } over { size 8{"10"} } } } {} 6 10 size 12{ { { size 8{6} } over { size 8{"10"} } } } {} First 10 throws: ............. ............. ............. ............. Second 10 throws: ............. ............. ............. ............. Third 10 throws: ............. ............. ............. ............. Fourth 10 throws: ............. ............. ............. ............. Fifth 10 throws: ............. ............. ............. .............

ii) What is the average for your throws for:

a) heads: _______________________

a) tails: ________________________

c) What is the probability that both coins will land heads up if you throw them up at the same time?


d) A person participating in the Lotto game must take a blue ball out of the container in order to win a prize. If there are 19 pink balls and 2 blue balls in the container, what is the probability that the contestant will win a prize?


20.4 Work on your own. You will need a di.

a) What is the probability that the 3 will fall on top when you throw the dice? _____________________________________________________________________

Questions & Answers

anyone know any internet site where one can find nanotechnology papers?
Damian Reply
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
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
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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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