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Dulwich International College Phuket Welcomes
SEAMC 2005
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Team round
This round will last for approximately 2 hours.
There will be no break. If you wish to leave for
a toilet break or to get some water then you may
do so at any time, but the competition will be
ongoing.
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• There will be 15 questions.
• Each question has a time limit, given before the
  question is shown.
• Answer on white paper and hand in when the time
  is up.
• Hand in an answer on coloured paper for bonus
  marks. Raise your hand with the paper in your
  hand for collection.

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You have 8 minutes for the next question.
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1.How many squares are in this picture?
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Please hand in answers You have 5 minutes
for the next question.
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2. Complete the final row in the table below.
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Please hand in answers You have 8 minutes
for the next question.
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3. The pentagon below is constructed by drawing
an equilateral triangle on each side of a right
angled triangle with an angle of 30 degrees and
the length of the hypotenuse is 12cm. What is the
area of the pentagon?
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Please hand in answers You have 6 minutes
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4. A square has sides of length 16 cm.
A circle is drawn through A and D so that it is
tangent to BC, as shown. What is the radius of
the circle?
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Please hand in answers You have 7 minutes
for the next question.
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5. Find the volume of a regular tetrahedron with
an edge of 1 cm.
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Please hand in answers You have 10 minutes
for the next question.
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• 6. A man is walking across a railroad bridge that
  goes from point A to point B. He starts at point
  A, and when he is of the way across the
  bridge, he hears a train approaching. The train's
  speed is 60 mph (miles per hour).
• The man can run fast enough so that if he turns
  and runs back toward point A, he will meet the
  train at A, and if he runs forward toward point
  B, the train will overtake him at B.
• How fast can the man run?

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Please hand in answers You have 5 minutes
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• 7. (? 2) means the square root of 2 rounded to
  the nearest integer. 
• Find,
• (?2) (?3) (?5) (?7) (?23) (?29)

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Please hand in answers You have 5 minutes
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• 8. The numbers 1, 2, 3, 4, 5, and 6 are printed
  on cards and arranged to form a 6-digit number.
• Find the probability that the number is
  divisible by 3 or 7.

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Please hand in answers You have 5 minutes
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9. Which is the first term in the fibonacci
series to be a multiple of 10?
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Please hand in answers You have 8 minutes
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• 10. A new monument is to be made in the shape of
  a cuboid.Only three of the faces are to be
  decorated.To allow for thisone face has to
  have an area of 48 square metresanother to have
  an area of 72 square metresand another of 96
  square metres.
• What will be the volume of the monument?

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Please hand in answers You have 7 minutes
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• 11.If S A V E M O R E M O N E Y
• give the value of SOME.
• No letter has the same number.

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Please hand in answers You have 6 minutes
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• ABCD is a rectangle and point E lies on AB. The
  triangle DEC has angle DEC 90 degrees, DE 3
  cm, EC 4 cm.
• Find the length of AD.

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Please hand in answers You have 7 minutes
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13.Study the grid below.
Find the sum of the diagonal of a 10x10 grid.
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Please hand in answers You have 10 minutes
for the next question.
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14. Lost Lake Road lies 300 yards north of
Vanda's house and runs straight east and west.
Art lives 600 yards south of Lost Lake Road and
1200 yards down the road from Vanda. Neither Art
nor Vanda has a phone. Art's carrier pigeon
just arrived at Vanda's screeching loudly with an
emergency message from Art. He has fallen and
broken his leg at home. Vanda decides to ride her
dirt bike from her home to Lost Lake Road to try
to flag down a passing motorist with a cell phone
so that an ambulance can be sent to pick up Art.
Vanda wants to ride in a straight line to Lost
Lake Road, and then go straight from that point
to Art's house. Where must Vanda hit Lost Lake
Road (in the 1200 yard stretch) to make the
distance she travels the shortest?
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Please hand in answers You have 8 minutes
for the next question.
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15. can be simplified to give by simply
cancelling out the 6 in the numerator with the 6
in the denominator. Find one more example in the
form where .
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Well done ..... enjoy your evening.