1.
Part A: Each correct answer is worth 3 points
John looks through the window. He sees half of the kangaroos in the park (see the picture).
How many kangaroos are there in the park?
4.
What number is hidden behind the panda?
5.
Dolly accidentally broke the mirror into pieces. How many pieces have exactly four sides?
7.
How many triangles (of any size) are there in the figure?
8.
In the table, correct sums are shown. Ink was spilled over some of the table. What is the result in the box with the question mark?
10.
A five-digit number has four equal digits and the sum of the digits is 43. Which one is the different digit?
12.
Balloons are sold in packs of 5, 10 and 25. Marius buys exactly 70 balloons. What is the smallest number of packs he could buy?
14.
There is a tournament at the pool. First 13 children signed up and then another 19 signed up. Six teams with an equal number of players are needed for the tournament. At least how many more children need to sign up so that the six teams can be formed?
15.
The Modern Sofa Furniture store is selling a sofa and a loveseat made from identical modular pieces as shown in the picture.
The width, including the seating and the armrests, is given below each item. How wide is an armrest?
16.
David wants to cook 5 dishes on a stove with only 2 burners. The times needed to cook the 5 dishes are 40 min, 15 min, 35 min, 10 min and 45 min. What is the shortest time in which he can do it? (Once he starts cooking a dish, he may remove it from the stove only when it is cooked.)
17.
Part C: Each correct answer is worth 5 points
A mathematical test consists of 20 problems. At the beginning, everybody starts with 20 points. For a correct answer one gets 1 point, while for an incorrect or missing answer 1 point is subtracted. Mary’s final result is 24 points. How many correct answers did Mary have?
18.
Identical cubes are glued together. The figures below show the structure seen from the front, from the left, and from above.
What number of cubes does the structure contain?
19.
Ten bags each contain a different number of candies from one to ten. Five boys each took two bags of candies. Alex got five candies, Bob got seven candies, Charles got nine, and Dennis got fifteen. How many candies did Eric get?
21.
A small zoo has a giraffe, an elephant, a lion and a turtle. Susan wants to plan a tour where she sees exactly two different animals. She does not want to start with the lion. How many different tours can she plan?
22.
Zosia has hidden smileys
in some of the cells of the table. In some of the other cells she writes the number of smileys in the neighbouring cells as shown in the picture. Two cells are said to be neighbouring if they share a common side or a common corner. How many smileys has she hidden?
23.
Kate has 4 flowers, one with 6 petals, one with 7 petals, one with 8 petals and one with 11 petals.
Kate choose three flowers and tears off one petal from each flower. She does this several times, choosing any three flowers each time. She stops when she can no longer tear one petal from three flowers. What is the smallest number of petals which can remain?
24.
In how many ways can Josie cut out a T-shape like
with exactly one shaded cell from the rectangle in the figure below?
