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Maths olympiad questions for grade two

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

Grade two – final round paper: 2006 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. These are multiple choice questions. Circle the correct answer.

3. Use blank pages for working. Circle the answer after you have done the 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.

ENJOY THE OLYMPIAD

Test questions:

Exercise 1

Write down the 7 th term of the sequence:

7; 10; 13; 16; . . .

Exercise 2

Write down the unit’s digit of the 45 th number.

5; 10; 15; 20; . . .

Exercise 3

Terry counted in 2’s as follows:

2; 4; 6; 8; 10; . . .

What position does the number 130 occupy?

Exercise 4

Each letter in the following addition problem represents a digit. Find the digit B.

Exercise 5

Find the value of Δ %DELTA :

45 Δ = Δ + Δ + Δ + Δ + Δ Δ 45 - %DELTA = %DELTA + %DELTA + %DELTA + %DELTA + %DELTA - %DELTA

Exercise 6

To move from one block to the next the rule is double the number and subtract one.

What number is in block 4?

Exercise 7

Give the largest two digit even number such that the sum of the digits is 9 .

Exercise 8

How many blocks are there in this stack?

Exercise 9

2 more than ¼ of the cakes is 6. How many cakes are there?

Exercise 10

Guess the number I stand for.

* I am a 3 digit number.

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

* My ten’s digit can be counted in 3’s.

* The sum of my digits is 16.

Exercise 11

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

3 * 4 = 5

7 * 3 = 8

1 * 1 = 0

4 * 4 = 6

Now determine the answer to :

8 * 5

Exercise 12

In a 50 metre race Jen beat Tara by 4 metres. Tara beat Cindy by 3 metres. If all three walk at the same pace then how far will Cindy be behind Jen in a 100 metre race ?

Exercise 13

White and green beads are arranged as in the following diagram.

W W G G G W W G G G W W ….

If this arrangement has 102 beads then work out the number of green beads .

Exercise 14

Five friends live on the same straight road. Ren lives to the right of Lindy. Pat lives to the right of Lindy but to the left of Jessy. Al lives to the left of Lindy. Pat lives between Al and Ren. Who lives between Pat and Jessy ?

Exercise 15

Stan collected R10 more for charity than Liz. Liz collected R20 less for charity than Connie. A total of R270 was collected for charity.What amount was collected by Liz ?

Questions & Answers

what is math number
Tric Reply
x-2y+3z=-3 2x-y+z=7 -x+3y-z=6
Sidiki Reply
Need help solving this problem (2/7)^-2
Simone Reply
x+2y-z=7
Sidiki
what is the coefficient of -4×
Mehri Reply
-1
Shedrak
the operation * is x * y =x + y/ 1+(x × y) show if the operation is commutative if x × y is not equal to -1
Alfred Reply
An investment account was opened with an initial deposit of $9,600 and earns 7.4% interest, compounded continuously. How much will the account be worth after 15 years?
Kala Reply
lim x to infinity e^1-e^-1/log(1+x)
given eccentricity and a point find the equiation
Moses Reply
12, 17, 22.... 25th term
Alexandra Reply
12, 17, 22.... 25th term
Akash
College algebra is really hard?
Shirleen Reply
Absolutely, for me. My problems with math started in First grade...involving a nun Sister Anastasia, bad vision, talking & getting expelled from Catholic school. When it comes to math I just can't focus and all I can hear is our family silverware banging and clanging on the pink Formica table.
Carole
I'm 13 and I understand it great
AJ
I am 1 year old but I can do it! 1+1=2 proof very hard for me though.
Atone
hi
Adu
Not really they are just easy concepts which can be understood if you have great basics. I am 14 I understood them easily.
Vedant
find the 15th term of the geometric sequince whose first is 18 and last term of 387
Jerwin Reply
I know this work
salma
The given of f(x=x-2. then what is the value of this f(3) 5f(x+1)
virgelyn Reply
hmm well what is the answer
Abhi
If f(x) = x-2 then, f(3) when 5f(x+1) 5((3-2)+1) 5(1+1) 5(2) 10
Augustine
how do they get the third part x = (32)5/4
kinnecy Reply
make 5/4 into a mixed number, make that a decimal, and then multiply 32 by the decimal 5/4 turns out to be
AJ
how
Sheref
can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
ninjadapaul
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
ninjadapaul
I don't understand what the A with approx sign and the boxed x mean
ninjadapaul
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
ninjadapaul
oops. ignore that.
ninjadapaul
so you not have an equal sign anywhere in the original equation?
ninjadapaul
hmm
Abhi
is it a question of log
Abhi
🤔.
Abhi
I rally confuse this number And equations too I need exactly help
salma
But this is not salma it's Faiza live in lousvile Ky I garbage this so I am going collage with JCTC that the of the collage thank you my friends
salma
Commplementary angles
Idrissa Reply
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
hii
Uday
hi
salma
hi
Ayuba
Hello
opoku
hi
Ali
greetings from Iran
Ali
salut. from Algeria
Bach
hi
Nharnhar
A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
Kimberly Reply
Jeannette has $5 and $10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
August Reply
What is the expressiin for seven less than four times the number of nickels
Leonardo Reply
How do i figure this problem out.
how do you translate this in Algebraic Expressions
linda Reply
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
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Source:  OpenStax, National foundation phase maths olympiad - grade2. OpenStax CNX. Sep 22, 2010 Download for free at http://cnx.org/content/col11230/1.1
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