MATHS KANGOUROU 2009 Level: 5-6 - Thales Foundation Cyprus

24) ΑΒCD is a square with side 10. The distance between Ν and Μ is 6. Each shape
of the shaded part is either a square or an isosceles right triangle. Find the area of
the line shaded region.
Α
Ν
Μ
Β
Α) 42 Β) 46
C) 48 D) 52
Ε) 58
25) In the figure the symbols represent numbers. The sum of the
digits in each row and in each column is written on the figure. What is the value of the
number + − ;
Α) 2 Β) 3 C) 4 D) 5 Ε) 6
D
10 8 9
C
11
8
8
26) Kangaroo thinks an integer number and places it in box A. Then follows one of the possible paths
indicated by arrows and perform the corresponding operations. Can
×7 ×7
Kangaroo obtain the number 2009 when arriving to the box B?
Α
( A) Yes, going for the three possible paths
(B) Yes, going for two of the paths, and beginning with the same number in
×7
×6
×7
×6
both paths
(C) Yes, going for two of the paths, and beginning with different number in
both paths
− 49
×6
×7
Β
− 49
(D) Yes, only going for one of the possible path
(E) No, it's not possible
27) A complete set of 28 dominoes contains every possible combination of two
numbers of dots between 0 and 6 included, including twice the same number. How
many dots are there all together on a set of dominoes?
Α) 84 Β) 105 C) 126 D) 147 Ε) 168
28) In a 4 x 2 table, two numbers are written in the first row. Each next row contains the sum
and the difference of the numbers written in the previous row (see the picture for an example).
In a table 7 x 2, filled in the same way, the numbers of the last row are 94 and 64. What is the
sum of the numbers in the first row of the 7 x 2 table?
Α) 8 Β) 10 C) 12 D) 20 Ε) 24
10 3
13 7
20 6
26 14
29) A clock is quite strange. Firstly, it has only one hand. Every minute the hand jumps and moves five
numbers further. In some occasion it was showing 12. One minute later the hand jumped to the number 5.
After another one minute it jumped to 10 and so on. After how many minutes, since it was showing 12, it will
show 12 again for the first time.
Α) never Β) 4 minutes C) 6 minutes D) 8 minutes Ε) 12 minutes
30) We want to colour the squares in the grid using colours A , B , C and D in such
a way that neighbouring squares do not have the same colour (squares that share a
vertex are considered neighbours). Some of the squares have been coloured as
shown. What are the possibilities for the shaded square?
Α) Α Β) Β C) C D) D Ε) there are two different possibilities
A B
A
C D
Kangourou Mathematics 2009 – Level: 5-6 - page 4 of 4