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Dulwich International College Phuket Welcomes
SEAMC 2005
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Individual Competition Part I Questions 1 - 25
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• There are 25 multiple choice questions
• You have 2 minutes to finish each question
• There will be no break in this round
• A trial question will now follow

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Trial Question (2 minutes)
2n1 X 4n1 equals
(a) 2n2 (b) 23n3 (c) 42n2
(d) 42n1 (e) 24n-2
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Get ready to start ........
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• Alexis, Phil, Kit and Terri had a race.
• Their finishing order was 1, 2, 3, 4 with no
  ties.Phil beat Terri, but was not 1st or
  3rdAlexis was just one place in front of
  Terri.What was their finishing order?

A. Kit, Alexis, Terri Phil, B. Alexis, Phil,
Kit, TerriC. Kit, Phil, Alexis, TerriD. Kit,
Phil, Terri, AlexisE. Terri, Phil, Kit, Alexis
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2. An emergency contact phone system is in place
at a school. The headteacher calls 5 teachers who
each call 5 parents. The parents in turn each
call 5 other parents. No person is called more
than once. How many people are informed about
the emergency? (Assume all calls are answered)
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3. A man is aged 71 and his daughter is
34. What age will the daughter be when she is
half the age of her father?
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4. If August 5th falls on a Tuesday, on which day
of the week will New Years Day fall?
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5. How many acute angles can be found in this
drawing?
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6. Find a number whose double is bigger than its
half by 99.
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7. A square lawn has a path 1 metre wide which
goes around the outside of all the four edges.
The area of the path is 40 square metres. What is
the area of the lawn?
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8. How many days are there in the shortest
century?
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9. A car has travelled 24,000 km and, in that
distance, has worn out 6 tyres. Each tyre
travelled the same distance. How many miles did
each separate tyre travel?
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10. The mean average of 6 numbers is 8. If the
numbers 18 and 6 are added to this list the new
mean average will be
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11. 4 ? x ? 3, -3 ? y ? 3, 2 ? z ? 6 and p
, then the largest value that p can be is
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12. A shopkeepers selling price for a jacket is
45 higher than the cost price of the jacket. If
he gives a customer a 20 discount for the jacket
and makes a 10 profit, what was the cost price
of the jacket?
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13. The smallest number with exactly 25 factors
is
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14. Mr Wheeler was exactly 5 years older than his
wife and they had two children.If you multiply
together the parents' ages, and then add together
the twins' ages, and divided one result by
another, the answer is 57 exactly. How old is
Mr Wheeler?
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15. All of the odd numbers from 1 to 1999 are
added together.What is the total?
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16. AB 25 and AC 7. BD DC. Find the value
of AD.
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17. The scale of a map is 11000. The map is
reduced on a photocopier to 25 of its original
area. The new scale will be
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18. The digits 6, 7, 8 and 9 are used to make all
the possible four digit integer numbers. These
numbers are then ordered. What position is the
number 8697 in?
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19. What is the probability that a randomly
selected two-digit number is a multiple of 14?
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20. A portrait of Einstein measures 15 cm x 20
cm. It is placed in a rectangular frame that
measures 20 cm x 25 cm. The percentage of space
in the frame not covered by the picture is
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21. In the diagram the numbers in each quarter
circle is the same. The value of x y z is
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22. A salesman drives from Amsterdam to The
Hague. The first half of his journey, he drives
at a constant speed of 80 km/h. The second half
of his journey, he drives at a constant speed of
120 km/h. Calculate his average speed for the
entire journey.
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23. There are two cubes.For both of them, their
edge-lengths are a whole number of
centimetres.Curiously, the total of their
volumes is exactly equal to the total of all
their edge-lengths.What is their total volume?
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24. Integers from 1 to n are placed evenly around
a circle. The number 6 is opposite 21. The value
of n is
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25. How many times can a coin rotate in rolling
completely about another coin of twice the
diameter?
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Take a break ... you deserve it