<< Chapter < Page Chapter >> Page >


Number patterns

Educator section




a) 0; -50

b) 1 and a quarter; 1 and a half

c) 22’ 30

d) 38; 26


a) number row

b) kwadraatgetalle

c) sequence

d) terms


a) horizontal

b) vertical


a) 13; 21

b) Fibonacci


a) 2 926

b) 8

6. 10; 15

7. 7; 17; 23

Leaner section


Activity: number patterns (module test) [lo 2.1, lo 2.3, lo 2.4]

8. problem

Work with a friend. Find the solution to the following problem by making use of number patterns

A farmer started farming with two rabbits in January. Once each pair of rabbits is two months old, they produce a new pair of rabbits monthly.

How many pairs of rabbits will the farmer have by the end of December of the same year?

(Suggestion: draw a diagram)


1. Complete the following number patterns:

a) 150 ; 100 ; 50 ; _______________________ ; _________________

b) a half ; three quarters ; one ; ________________ ; _________________

c) 4 ; 9 ; 15 ; ________________ ; _________________

d) 80 ; 65 ; 51 ; ________________ ; _________________ (8)

2. Fill in the missing words:

a) A set of numbers which is acquired by following a particular rule is called a


b) Square numbers are also called ____________________________________

c) Number patterns are also called____________________________________

d) The numbers in a number sequence are also called ___________________(4)

3. Underline the correct word within brackets:

a) a sequence is (horizontal; vertical; diagonal)

b) a column is (horizontal; vertical; diagonal) (1)

4. a) Complete the following pattern:

8 ; _______________ ; ______________ ; 34 ; 55 ; 89 (2)

b) This number sequence is known as the _______________________ sequence. (1)

5. Use Gauss’ method to determine the sum of the natural numbers from 1 to 76.




6. What is the sum of the numbers in the fourth row of Pascal's triangle?


7. Complete the following triangular number pattern:

1; 3; 6; ________________________ ; _______________________ (2)


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 2.1: We know this when the learner investigates and extends numeric and geometric patterns looking for a relationship or rules, including patterns;

Assessment Standard 2.3: We know this when the learner represents and uses relationships between variables in order to determine input and/or output values in a variety of ways using;

Assessment Standard 2.4: We know this when the learner constructs mathematical models that represent, describe and provide solutions to problem situations, showing responsibility toward the environment and the health of others (including problems within human rights, social, economic, cultural and environmental contexts).

Questions & Answers

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
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
While the American heart association suggests that meditation might be used in conjunction with more traditional treatments as a way to manage hypertension
Beverly Reply
Got questions? Join the online conversation and get instant answers!
Jobilize.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?