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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.

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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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