1
a. 6
b. 8
c. 12
d. 13
e. 14
e. 14
Mother bought 16 mandarins. Karl ate half of them, Eva ate two, and Dana ate the rest. How many mandarins did Dana eat?
a. 4
b. 6
c. 8
d. 10
e. 12
b. 6
Sophie rolled a die four times and scored a total of 23 points. How often did she roll a six?
a. 0
b. 1
c. 2
d. 3
e. 4
d. 3
A certain film lasts 90 minutes. It begins at 17:10. During the film there are two advert breaks, one lasting eight minutes and the other five minutes. At what time will the film end?
a. 18:13
b. 18:27
c. 18:47
d. 18:53
e. 19:13
d. 18:53
2*9+200+9=
a. 292
b. 209
c. 290
d. 272
e. 227
e. 227
In a dance group there are 25 boys and 19 girls. Every week 2 more boys and 3 more girls join the group. After how many weeks will there be the same number of boys as girls in the dance group?
a. 6
b. 5
c. 4
d. 3
e. 2
a. 6
Peter shared a bar of chocolate. First, he broke off a row with five pieces for his brother. Then he broke off a column with 7 pieces for his sister. How many pieces were there in the entire chocolate bar?
a. 28
b. 32
c. 35
d. 40
e. 54
d. 40
A farmer has 30 cows, some chickens and no other animals. The total number of chicken legs is equal to the total number of cow legs. How many animals does the farmer have?
a. 60
b. 90
c. 120
d. 180
e. 240
b. 90
The length of a rectangle is 8cm. The width is half as long. How long are the sides of a square that has the same perimeter as the rectangle?
a. 4cm
b. 6cm
c. 8cm
d. 12 cm
e. 24cm
b. 6cm
Three squirrels Anni, Asia and Ellis have collected 7 acorns. They have all collected a different amount of acorns, and everybody has collected at least one acorn. Anni has collected the least and Asia the most. How many acorns has Elli collected?
a. 1
b. 2
c. 3
d. 4
e. not possible to answer
b. 2
Double Jeopardy
Barbara wrote "KAENGURUWETTBEWERB" on the blackboard. For some letters she used the same color, for different letters she used different colors. How many different colors did she use?
a. 7
b. 8
c. 9
d. 10
e. 11
d. 10
Double Jeopardy
On the 24th of February 2012 Grandfathers chicks hatched. There are 29 days in February in 2012. How old are the chicks today, the 15th of March 2012?
a. 29 days
b. 24 days
c. 22 days
d. 20 days
e. 15 days
d. 20 days
The number three should be added to the number 6. This amount is the doubled and the result is increased by 1. Which of the following sums fits this description?
a. (6+3*2)+1
b. 6+3*2+1
c. (6+3)*(2+1)
d. (6+3)*2+1
e. 6+3*(2+1)
d. (6+3)*2+1
In the school for animals there are 3 cats, 2 ducks, 2 sheep and some dogs. The teacher counted the legs of all the animals and got 44. How many dogs go to the school?
a. 6
b. 5
c. 4
d. 3
e. 2
b. 5
The last row in an airplane is row 25. There is no row 13 and row 15 has one 4 seats. Every other row has 6 seats. How many passengers are there on this airplane?
a. 120
b. 138
c. 142
d. 144
e. 150
c. 142
A wristwatch lies on the table with its face upwards. The minute hand points towards north-east. How many minutes have to pass for the minute hand to point towards north-west for the first time?
a. 45
b. 40
c. 30
d. 20
e. 15
a. 45
Take four cards and on each one write one of the numbers: 2, 5, 7, 12. On the back of each card write one of the following properties: "divisible by 7", "prime number", "odd", "greater than 100" so that the number on the other side does not have this property. Every number and every property is used exactly once. Which number is on the card with the property "greater than 100"?
a. 2
b. 5
c. 7
d. 12
e. It is impossible to state the number
c. 7
In which of the following expressions can one exchange each number 8 with 8 different sets of equal positive numbers without changing the result?
a. (8+8)/8+8
b. 8*(8+8)/8
c. 8+8-8+8
d. (8+8-8)*8
e. (8+8-8)/8
e. (8+8-8)/8
The lazy tomcat Garfield observes some mice stealing cheese. Each mouse carries away at least one piece of cheese but less than ten pieces. Each mouse steals a different amount of cheese pieces. No mouse steals exactly twice as many pieces as another mouse. What is the maximum number of mice Garfield can have observed?
a. 4
b. 9
c. 6
d. 7
e. 8
c. 6
At an airport there is a "rolling pavement" which is 500m long and transports people with a speed of 4km/h. Anna and Peter step onto the rolling pavement at the same time. While Peter is standing still, Anna continues to walk with a speed of 6km/h. How big is Anna's head start on Peter when she leaves the rolling pavement after 500m?
a. 100m
b. 160m
c. 200m
d. 250m
e. 300m
e. 300m
In a group of kangaroos the two lightest ones weigh 25% of the total weigh of the whole group. The three heaviest ones weigh 60% of the total weight. How many kangaroos are in this group?
a. 6
b. 7
c. 8
d. 15
e. 20
a. 6
Five positive whole numbers, which are not necessarily all different, are written on five cards. Peter calculates the sum of each pair of cards. He obtains only three different results, namely 57, 70 and 83. What is the biggest number that is written on one of the cards?
a. 35
b. 42
c. 48
d. 53
e. 82
c. 48
On a straight line there are five points. Alex measures all the distances between every possible pair of points. He obtains in ascending order 2, 5, 6, 8, 9, k, 15, 17, 20, and 22. What is the value of k?
a. 10
b. 11
c. 12
d. 13
e. 14
e. 14
I have noted down six digits of Eric's seven-digit phone number in the correct order. I don't know which digit I have missed out and where I have missed it out. What is the maximum number of tries that I have to make to be sure that I have used the correct phone number? (Note: the first digit could also be 0!)
a. 55
b. 60
c. 64
d. 70
e. 80
c. 64
Double Jeopardy
Maria divides 2015 by 1. Then she divides 2015 by 2 and then in order by 3, 4, etc. up to and including 1000. For each division she writes down the remainder. What is the biggest remainder she has noted down?
a. 15
b. 215
c. 671
d. 1007
e. another value
c. 671