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Olympiad questions for grade 3

Institute for advancement of mathematics and science (iams) national foundation phase mathematics olympiad

Grade three – final round paper: 2007 question booklet

DURATION: 1 HOUR 15 MINUTES

MARKS: 20

NAME OF LEARNER:___________________________________

NAME OF SCHOOL:____________________________________

Instructions to learners:

1. You are expected to answer 15 questions.

2. Use the answer booklet for your answers.

3. Use the space provided for your working.

4. You are not allowed to use the calculator.

5. Read the question carefully before answering. Don’t rush.

6. Your teacher will read the question to you.

7. First 10 questions – 1 mark each.

8. Questions 11-20: 2 marks each.

Test questions:

Exercise 1

What is the 15 th number of this sequence ?

7 ; 12; 17 ; 22 ; . . .

Exercise 2

Virginia counted in 4’s as follows:

4; 8; 12; 16; . . .

She stopped at the 64th number. What number did she count last?

Exercise 3

Find the value of Δ %DELTA :

Δ + Δ + Δ + O = 42 + Δ + O %DELTA + %DELTA + %DELTA + %OMICRON = 42 + %DELTA + %OMICRON

Exercise 4

Each letter in the following subtraction problem represents a digit. What is the value of A?

Exercise 5

Sally said that 3 4 3 over 4 of the health biscuits is 27. What is half the number of health biscuits ?

Exercise 6

Matchsticks were used to make the following blocks:

How many blocks are there in the 10 th figure?

Exercise 7

How many blocks are there in this stack?

Exercise 8

5 different counting numbers (starting from 4) were added to give 70. What is the largest possible number that could have been added?

Exercise 9

Liz makes 4 cones in 9 minutes. Taz makes 5 cones in 12 minutes. If both work together and at the same rate then how many cones could be made in 72 minutes.

Exercise 10

Guess the number I stand for:

* I am a 3 digit number.

* My unit’s digit is 1 more than my ten’s digit.

* My hundred’s digit is 1 less than twice the ten’s digit.

* The sum of my digits is 12.

Exercise 11

Try to work out what * is doing to the 2 numbers.

5 * 4 = 7

1 * 1 = 2

2 * 3 = 2

5 # 5= 6

Now find the answer to:

10 * 5

Exercise 12

In the following game the rule is double the number in the left block and subtract the number in the right block to give the number in the block above it.

Find the number in block A.

Exercise 13

Prince collected R20 more than Fred.

Bessy collected R20 less than Jenny.

Fred collected R10 less than Jenny.

Who collected the most money for charity?

Exercise 14

Calculate:

10+11+12+13+14+………+48+49+50.

Exercise 15

Guess the mystery number in box 3, using the information given:

* The number in box 3 is twice the number in box 1.

* The number in box 2 is 6 more than box 3.

* The number in box 4 is 3 less than half the number in box 3.

* The sum of the numbers in all 4 boxes is 75.

Questions & Answers

anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
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.
Bharti
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
Daniel
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
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
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
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
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.
Tarell
what is the actual application of fullerenes nowadays?
Damian
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.
Tarell
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.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
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.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, National foundation phase maths olympiad - grade3. OpenStax CNX. Sep 22, 2010 Download for free at http://cnx.org/content/col11231/1.1
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