Download Section A - Mathematics

MATHEMATICS OLYMPIAD 2002
Section A
Team Name: _________________________________
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Answer ALL questions.
Calculators are NOT allowed.
Time allowed: 1 hour
Write the answers the space below.
1
1.
Score:
2
3
4
5
6
What is the size of angle x?
7
8
9
11
12
13
14
15
5.
In a bag there are some red balls and 6
blue balls. The probability of getting a
red ball is ¾. How many balls are there
in the bag?
A. 32
C. 16
B. 24
D. 8
6.
What is the value of x?
40
x
10
120
A. 10
B. 30
2.
A. 10
B. 1
Work out
4.3  17 + 3.8  17 + 1.9  17
A. 17.0
C. 170
3.
4.
1 2 3 4 5 6 7 8 9
        x
2 3 4 5 6 7 8 9 10
C. 20
D. 40
7.
Only one of the following statements is
certainly true. Which?
A. The square root of any number is
smaller than the original number.
B. If you multiply any two numbers the
answer will be a whole number.
C. When you square any number the
answer is always positive.
D. All prime numbers are odd.
8.
How many
squares are
there in the
diagram?
A. 9
B. 12
C. 13
D. 14
B. 1700
D. 1.7
The diameter of
the circle is10 cm.
What is the
perimeter of the
hexagon?
A. 30 cm
B. 40 cm
C. 50 cm
D. 60 cm
Which is the largest number?
A. 1999
C. 11999
B. 19  99
D. 1999
C. 0.1
D. 0.01
9.
The radii of the three circles are 4 cm,
2 cm and 1 cm. What fraction of the
large circle is shaded?
A. ¼
B. 1/3
3
C. /8
D. 3/16
12.
What is the value of n?
55+ 55 + 55 + 55+ 55 = 5n
A. 6
13.
B. 25
C. 5
D. 4
What is the value of x?
1 – 2 + 3 – 4 + ... + 19  20 = x
A. 10
14.
10.
11.
Which of the following has the greatest
perimeter?
A. An equilateral triangle with side
4.2 cm.
B. A circle of diameter 4 cm
C. A right-angled triangle with shorter
sides of lengths 3 cm and 4 cm.
D. A square of side 3 cm.
The five numbers 1, 2, 3, 4 and 5 are put
in the five squares so that the horizontal
and vertical lines both add up to 8.
Which number will be in the middle
square?
A. 1
B. 2
C. 4
D. 5
B. –9
D. 10
C. 9
ABCDEF is a regular hexagon. Which
triangle has the largest area?
A. ABD
C. ABC
B. CDF
D. BFD
E
D
F
C
A
15.
B
The area of a square is equal to the area
of the triangle shown below. What is the
perimeter of the square?
A. 20 cm
B. 24 cm
C. 28 cm
D. 36 cm
9 cm
8 cm