<< Chapter < Page Chapter >> Page >


Number patterns

Educator section



a) 96

b) 61

c) 53

d) 13

e) 12

f) 54

g) 82

h) 24

i) 80

j) 178

k) 2 700

l) R90

m) R60,80

n) 24 000

o) 90

p) R237




t) 34.25

  • increases with one (+1)
  • increases with 7 (+7)
  • increases with 8 (+8)

8.4 increases with 6 (+6)

  • 6; 27; 48
  • 24; 27; 30

The total is different

  • 27; 27

8.5.4 The total is the same

it is the same as above

Leaner section


Activity 1: number patterns (mental calculations) [lo 2.2]

  • Let us see how you cope with the following mental calculations. Try and complete the test in less than two minutes.

a) 12 × 8 = _________________

b) 23 + 38 = _________________

c) 48 + _________________ = 61

d) 132 ÷ _________________ = 11

e) 71 – 18 = _________________

f) _________________ ÷ 6 = 9

g) 63 + 19 = _________________

h) 39 + . _________________ = 63

i) 7 × _________________ = 560

j) Double 89: _________________

k) 90 × 30 = _________________

l) R4,50 × 20 = _________________

m) 400 × 60 = _________________

n) 2 700 ÷ . _________________ = 30

o) R6,08 × 10 = _________________

p) R2,37 × 100 = _________________

q) 3/8 of 64 = _________________

r) 4/5 of 45 = _________________

s) 6/7 of 42 = _________________

t) Halve 68,5: _________________

I have . ________________________________________. correct.

  • Colour in the face that shows how you feel:

8 . Look at the interesting pattern we can find on a calendar.

  • Work with a friend and discuss:

a) What pattern can you see in each row? (horizontal)




b) What pattern can be seen in each column? (vertical)



c) What patterns do you see in the diagonal from left to right?



d) What patterns do you see in the diagonal from right to left?



e) Look at the block marked with a dark line on the calendar. Now determine:

f) The sum of each row: ________________________________________________

g) The sum of each column: _____________________________________________

  • What do you notice? _______________________________________________________________

h) The sum of the diagonals: ____________________________________________

  • What do you notice? _______________________________________________________________

i) Test now for other "blocks" of numbers on the calendar. What is your conclusion?








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 2.2: We know this when the learner describes, explains and justifies observed relationships or rules in own words.

Questions & Answers

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
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 ?
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?
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
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Privacy Information Security Software Version 1.1a
Berger describes sociologists as concerned with
Mueller Reply
Got questions? Join the online conversation and get instant answers!
QuizOver.com Reply

Get the best Algebra and trigonometry course in your pocket!

Source:  OpenStax, Mathematics grade 7. OpenStax CNX. Sep 16, 2009 Download for free at http://cnx.org/content/col11075/1.1
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Mathematics grade 7' conversation and receive update notifications?