2. Mary has 4 candy bars more than Alex. Mary would like
to share with Alex so that the number of candy each of them has is the same.
How many candy Mary needs to give to Alex?_____________
3. In a family, each of 3 sisters has a brother. How
many children are there in the family?
4. The following picture shows a planar representation of
the cube where some of the edges where cut through with the scissors. Numbers 1
and 2 are already assigned to two sides of the cube. Assign numbers3, 4, 5, 6 to the remaining sides in such a way, that the sum of the numbers on two opposite sides were equal to 7.
4. Winnie the Pooh has 3 pockets and 1 coin in each: nickel, dime or a quarter. The biggest pocket doesn’t contain the nickel, the middle pocket
doesn’t contain the dime, while the smallest pocket doesn’t contain
the dime nor it contains the nickel. Can you tell which coin is in which
pocket?
5. Alex has 7 blocks with red and blue letters. The blue
letters are written on 5 of them, the red letters are on 4 of them. How many
blocks have letters of both colors?
7-8 year olds
Advanced
Problems in Math
1. How many triangles are there on the picture?
2. Alex has1 7 blocks with red and blue letters. The blue
letters are written on 12 of them, the red letters are on 9 of them. How many
blocks have letters of both colors?
3. The ice cream costs
as much as two gums, while 3 gums cost the same as two chocolate bars. What is
more expensive 2 gums or 3 chocolate bars?
4. Insert one “+” and one “=”
sign in the following sequence of digits 15628733029 to get the equality. Show at least one way of doing
so.
5. Thomas the train was
going to Duncan
for a birthday party. When he drove half way he recalled that he’d
forgotten the present at home. So he went back and was 20 minutes to Duncan’s party. How
long would it take Thomas to get to Duncan
if he’d not had to return.
6. Bob’s granny
was baking pancakes. When Bob came from school, there were 12 pancakes in the
common plate, and he immediately started to eat them. It takes him the same
time to eat 3 pancakes as it takes his granny to bake 2 pancakes. How many
pancakes did Bob have, if when he left the table, only 7 pancakes
where left?
8-10 year olds
Advanced
Problems in Math
1. Pete and his Dad are playing the following game. Dad
gives Peter 1 candy. If Pete likes it, Dad gives him two more,
otherwise Pete has another candy from his candy jar. Pete didn’t like the
25th candy and he didn’t have any more candy in his jar, so
the game was over. How many candy that Pete had he
liked?
2. Boys
and girls from the 5th grade were playing snowballs. When they
decided to stop and go home, it turned out that the number of boys who got hit by
a snowball in the game was equal to the number of girls that were not hit with
a snowball. Which is greater: the number of those hit with a snowball or the
girls?
3. The
elevator goes from the 1st to 3rd floor in 7 seconds. How
much time would it take it to go from 1st to 9th floor?
4. Spud
paints the fence in 12 hours, while Bob the Builder paints the fence twice as
fast. Fast would it take them to do the job if they were painting together?
5. Six
kids in the class were asked how many computers there were in the classroom.
The first said more than 1, the second – more than 2, the third said more
than 3, the fourth said more than 4, the fifth said less than 4, and the last
said less than 3. How many computers were there in the classroom, if only half
of kids said the truth?
