Bạn đang xem bản rút gọn của tài liệu. Xem và tải ngay bản đầy đủ của tài liệu tại đây (71.34 KB, 4 trang )
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?
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?
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?
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?
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:
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?
8. Which of the following numbers is odd for every integer n ?
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.
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?
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?
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
13. What is the sum of the 10 angles in the picture?
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?