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1. Part A: Each correct answer is worth 3 points.


How many hours are there in half of a third of a quarter of a day?
1/3


1/2
3
2
1


2. The diagram shows a cube with sides of length 12 cm. An ant is walking across the
cube’s surface from A to G using the path shown in bold. How far will it have to walk?


48 cm
40 cm
50 cm
60 cm


It is impossible to determine


3. In triangle ABC, the angle at A is three times greater than the angle at B and half
of the angle at C. What is the angle at A?


30o


36o


54o


60o



72o



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1000 dollars
2000 dollars
5500 dollars
6000 dollars
10000 dollars


5. A straight line is drawn across a 4×4 chessboard. What is the greatest number of
1×1 squares this line can pass through?


3
4
6
7
8


6. In a triangle ABC the angle C is three times bigger then the angle A, the angle B is
two times bigger then the angle A. Then the triangle ABC:


is equilateral
is isosceles


has an obtuse angle
has a right angle
has only acute angles


7. At my school, 50% of students swim. Of those, 30% are on the swim team. What
percent of students at my school are on the swim team?



15%
20%
25%
40%
80%


8. Which of the following numbers is odd for every integer n ?
2011n


n2+2011



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n+2012
2n2+2011


9. In the picture, strips 1, 2 and 3 have the same horizontal width a. These strips
connect two parallel lines. Which strip has the largest area?


All three strips have the same area.
Strip 1


Strip 2
Strip 3


It is impossible to answer without knowing a.


10. A is the number 11111...1111 formed by writing 2003 ones in a row. What is the
sum of the digits of the product 2003 x A?


10000
10015


10020
10030
2003 x 2003


11. When a barrel is 30% empty it contains 30 litres more than when it is 30% full.
How many litres does the barrel hold when full?


60
75
90
100
120


12. In the picture there are four overlapping squares with sides 11, 9, 7 and 5 cm
long. How much greater is the sum of the two grey areas than the sum of the two
black areas?



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13. What is the sum of the 10 angles in the picture?


300o
450o


360o


600o


720o


14. Charles tells the truth every other day; otherwise he lies. Today he stated exactly
four of the following statements. Which one could he not have stated today?



I have a prime number of friends.
I have as many male friends as female
288 is divisible by 12


I always tell the truth


Three of my friends are older than me.


15. You have six sticks of lengths 1 cm, 2 cm, 3 cm, 2001 cm, 2002 cm and 2003 cm.
You have to choose three of these sticks to form a triangle. How many different
choices of three sticks are there that work?


1
3
5
6





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