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National Foundation Phase Maths Olympiad - Grade two - final round- 2007

Module by: The Association for Mathematics Education of South Africa - Kwa-Zulu Natal. E-mail the author

Summary: Maths olympiad questions for grade two

INSTITUTE FOR ADVANCEMENT OF MATHEMATICS AND SCIENCE (IAMS) NATIONAL FOUNDATION PHASE MATHEMATICS OLYMPIAD

Figure 1
Figure 1 (graphics1.png)

GRADE TWO – 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

Write down the 9th term of the sequence:

7; 11; 15; 19; . . .

Exercise 2

Write down the unit’s digit of the 80th number.

5; 10; 15; 20; . . .

Exercise 3

Lindiwe counted in 3’s as follows:-

3; 6; 9; 12; 15; . . .

What position does the number 75 occupy ?

Exercise 4

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

Figure 2
Figure 2 (graphics3.png)

Exercise 5

Find the value of ΔΔ%DELTA:

60 − Δ = Δ + Δ + Δ + Δ + Δ 60 − Δ = Δ + Δ + Δ + Δ + Δ 60 - %DELTA = %DELTA + %DELTA + %DELTA + %DELTA + %DELTA
(1)

Exercise 6

Find the value of ΔΔ%DELTA:

Δ + Δ + Δ + Δ = Δ + Δ + 48 + Δ Δ + Δ + Δ + Δ = Δ + Δ + 48 + Δ %DELTA + %DELTA + %DELTA + %DELTA = %DELTA + %DELTA + 48 + %DELTA
(2)

Exercise 7

Neels counted in 9’s as follows:

9; 18; 27; 36; 45; . . .

Write down the 45th number.

Exercise 8

How many blocks are there in this stack?

Figure 3
Figure 3 (graphics2.png)

Exercise 9

5 health bars cost R23. How many health bars could you get for R69?

Exercise 10

Machine A takes 20 minutes to make 7 large boxes. Machine B takes 10 minutes to make 3 small boxes. If both machines run for 1 hour, how many more large boxes than small boxes will there be?

Exercise 11

Figure 4
Figure 4 (graphics4.png)

4 matchsticks are used to make 1 square. 7 matchsticks are used to make 2 squares. 10 matchsticks are used to make 3 squares. How many squares can be made from 61 matchsticks ?

Exercise 12

Molly has 2 secret numbers.

* When she subtracted the 2 numbers she had 15.

* When she doubled the smaller number she found it was same as the larger number.

What is the larger number?

Exercise 13

How many squares of all sizes are there in the figure below:

Figure 5
Figure 5 (graphics5.png)

Exercise 14

Jeremy wrote down all the numbers from 1 to 50. He then struck off all the numbers that can be counted in 2’s and 3’s. How many numbers were not struck off?

Exercise 15

Given the following, guess the day of the week:

* Yesterday was not Tuesday.

* Tomorrow is not Tuesday.

* The name does not start with S or F.

* The day after tomorrow is not Thursday.

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