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Maths olympiad questions for grade three

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

Grade three – round one 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. 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

Find the value of Δ %DELTA to make this sentence true:

40 Δ 8 = 20 40 - %DELTA - 8 = 20

(A) 10 (B) 11 (C) 12

Exercise 2

My cellphone number is 0833571267. The sum of the digits of my cellphone number is:

(A) 40 (B) 41 (C) 42

Exercise 3

Write down the 7 th number of this pretty number pattern:

6; 11; 16; 21...

(A) 36 (B) 41 (C) 46

Exercise 4

Thelma counted in 3's as follows:

3; 6; 9; 12...

She stopped at the 31 st number.What number did she count last?

(A) 87 (B) 90 (C) 93

Exercise 5

Which number is out of order?

2; 5; 9; 20; 14; 27

(A) 9 (B) 14 (C) 20

Exercise 6

Harry needs R215 to buy a game. He has two R50 notes, three R20 notes and a R5 coin. How much more does he need to buy this game?

(A) 40 (B) 50 (C) 60

Exercise 7

Harry receives R36 every week as spending money. How much money does he receive in one month (4 weeks)?

(A) 144 (B) 152 (C) 160

Exercise 8

The total number of cubes in this arrangement is

(A) 12 (B) 13 (C) 14

Exercise 9

If 4 × Δ = 65 4 times %DELTA = 65 then:

8 × Δ 8 times %DELTA is

(A) 120 (B) 130 (C) 140

Exercise 10

How many numbers in the rectangles below give an answer of more than 200 when multiplied by 5 ?

(A) 2 (B) 3 (C) 4

Exercise 11

How many triangles of all sizes are there in this figure?

(A) 8 (B) 9 (C) 10

Exercise 12

Guess the number I stand for:

* I am a 3 digit number.

* Y is 3 less than X multiplied by Z.

* X + Y + Z = 14

(A) 394 (B) 296 (C) 275

Exercise 13

For every 3 red beads in a chain there are 2 green beads.

RRRGGRRRGGRRRGGRRR...

The chain has 70 beads. How many red beads does this chain have?

(A) 28 (B) 40 (C) 42

Exercise 14

There are 4 girls: Amy, Claire, Diane and Bess. Each of the 4 girls participates in one activity only. The activities are swimming; chess; dancing and art.

* Amy does not swim.

* Claire used to play chess and does not like dancing.

* Diane does not like dancing.

* Bess does well in art.

Who takes part in chess?

(A) Diane (B) Claire (C) Amy

Exercise 15

In the game below no number must appear more than once in a row or column. Use only 1; 2; 3; 4; 5. What is X + Y?

(A) 7 (B) 8 (C) 9

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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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