2.
Jacky wants to insert the number 3 somewhere between the digits of the number 2014, to make a five-digit number that is as small as possible. Where should Jacky insert the number 3?
3.
When Koko the Koala is not sleeping, he eats 50 grams of leaves per hour. If Koko slept 20 hours yesterday, how many grams of leaves did he eat?
4.
Adam built fewer sandcastles than Martin but more than Susan. Lucy built more
sandcastles than Adam and more than Martin. Dana built more sandcastles than
Martin but fewer than Lucy. Who built the most sand
castles?
5.
Monica writes numbers in the diagram so that each number is the product of the two numbers below it. Which number should she write in the grey cell?
9.
Part B: Each correct answer is worth 4 points
There were some candies in a bowl. Sally took half of the candies. Then Tom took half of the candies left in the bowl. After th at, Clara took half of the remaining candies. In the end there were 6 candies in the bowl. How many candies were there in the bowl at the beginning?
10.
Ann has four pieces as shown.
With these pieces she can completely cover the shape:
.
Where should she put the piece
12.
Mary had equal numbers of white, black and striped tokens. She used some of the tokens to make the pile shown in the figure.
She still has five tokens which are not in the pile . How many black tokens did she have in total?
14.
On planet Kangaroo, each kangyear has 20 kangmonths and each kangmonth has 6 kangweeks. How many kangweeks are there in on e quarter of a kangyear?
15.
Nick has written each of the numbers from 1 to 9 in the cells of the 3 × 3 table. Only four of these numbers can be seen in the figure. Nick has noticed that for the number 5, the sum of the numbers in the neighbouring cells equals 13 (neighbouring cells are cells sharing a side). He noticed the same applies to the number 6. Which number has Nick written in the shad ed cell?
16.
The sum of the digits of the number 2014 is 7. How many numbers between 100 and 1000 also have 7 as the sum of their digits?
17.
Part C: Each correct answer is worth 5 points
Rabbit Borya likes cabbage and carrots very much. E ach day, he eats either 9 carrots, or 2 heads of cabbage, or 1 head of cabbag e and 4 carrots. Last week, Borya ate 30 carrots. How many heads of cabbage did he eat last week?
18.
Seven children are standing in a circle. No two boy s are standing next to each other. No three girls are standing next to each other. How many girls are there standing in the circle?
19.
Eve arranged cards in a line as it is shown in the figure below. At each move, Eve is allowed to interchange any two cards. What i s the smallest number of moves Eve needs to get the word KANGAROO?
20.
The first three stages of a pattern are shown in the picture. How many black diamonds does the figure in stage 6 have?
21.
Kangaroo Hamish bought toys and gave the shop-assistant 150 dollars. He received 20 dollars back. Then he changed his mind and exchanged one of the toys for another. He got back an additional 5 dollars. What toys did Hamish leave the store with?
22.
Ann threw seven darts at the dartboard, shown in the figure, and scored 32 points in total. How many darts did not hit the dartboard?
23.
A soccer coach is selecting a team among players who are from 20 to 35 years old. At least how many players should be selected f or the team so that, for certain, two players are of the same age?
24.
Four workers are building a house. In five days the y built half the house. But winter is coming and they want to finish building t he house in two more days. How many friends should the workers call for help, if they do not want to bother more people than is necessary?
