Problems for children
on development of logic thinking
Problems for
preschool children
0.001. The giraffe, the crocodile and the hippopotamus lived in different
small houses. The giraffe lived not in red and not in a dark blue house.
The crocodile lived not in red and not in an orange house. In which houses
did the animals live?
0.002. Three small fishes floated in different aquariums. The
red fish floated not in round and not in a rectangular aquarium. A gold
fish - not in square and not in round. In which aquarium did the green fish
float?
0.003. There lived-were three girls: Kat, Helen and Rooty. Kat
is above Helen, Helen is above Rooty. Who from girls is the highest, and
who is the lowest?
0.004. Michael has three carriages of different color: red, yellow
and dark blue and three toys: a ball, a robot and a car. In the red
carriage he will carry not a car and not a robot. In yellow - not a car and
not a ball. What will Michael carry in each of carriages?
0.005. The mousy goes not in the first and not in last car. A
chicken - not in the average and not in last car. In which cars do a mousy
and a chicken go?
0.006. The dragonfly sits not on a flower and not on a leaf.
The grasshopper sits not on a fungus and not on a flower. The ladybird sits
not on a leaf and not on a fungus. Who on what sits? (it is better to draw
all)
0.007. Bill, Alex and Michael live on different floors. Bill
lives not on the uppermost floor and not on the lowermost. Alex lives not
on an average floor and not on bottom. On which floor does each of boys
live?
0.008. Mum has bought dresses to Ann, Julia and Kat. Ann received
not green and not red dress. Julia - not green and not yellow. Kat - not
yellow and not red. What dress was bought by mum to each of girls?
0.009. In three plates different fruits lay. Bananas lay not
in dark blue and not in an orange plate. Oranges - not in dark blue and in
a pink plate. In what plate do plums lay? And bananas and oranges?
0.010. The flower does not grow under a
fur-tree; the fungus does not grow under a birch. What does grow under a fur-tree and
what under a birch?
0.011. Tony and Danny have decided to play. One with cubes,
and another machines. Tony has taken not the machine. What did Tony and
Danny play?
0.012. Vick and Kat have decided to draw. One girl drew
paints, and another pencils. Vick has not taken paints. What did Kat begin
to draw?
0.013. Red and black clowns acted with a ball and a sphere.
The red clown acted not with a ball, and the black clown acted not with a
sphere. With what subjects did Red and Black clowns act?
0.014. Eliza and Peter have gone to a wood to collect
mushrooms and berries. Eliza did not collect mushrooms. What did Peter
collect?
0.015. Two machines went on wide and on narrow roads. The
lorry went not on narrow road. On what road did the car go? And lorry?
0.016. We have fifty-fifty matches. I have given to you 2 matches.
By how many matches do you have more?
0.017. How many time is it necessary to cut a sausage to cut
it on 3 parts?
0.018. Three matches lay on a table. How to make 4 of them?
0.019. Transpose
one match so that piggy went to the opposite party:

0.020. On a fur-tree two branches are. On each branch one apple
grows. How many all apples do grow on a fur-tree? (The answer:
apples do not grow on a fur-tree).
0.021. Lena has a brother. The brother has only one sister.
What does his sister name?
0.022. Mum has bought 4 pears and apples. Apples were more,
than pears. How many pears and how many apples mum has bought? (it is
better to draw all)
0.023. Each of two brothers has one sister. How many children
are in the family?
0.024. John, Alex and Bill like to play tennis. John plays better
Alex, and Alex plays better Bill. Who plays the best?
0.025. Alla, Iren and Helen have learned to sew. Alla sews
worse Iren, and Iren is worse Helen. Who sews the best? And who sews the
worse?
0.026. Mum, daddy and I
sat on a bench. I sat to the left of daddy, and mum – to the left of me. In
what order we sat?
0.027. A beetle has 2 right paws
and 2 left, 2 paws behind and 2 in front. How many paws a beetle has?
0.028. From a mink 4
mouse ears were put out. How many mousses were in a mink?
0.029.
A
cord was cut in three places. How many parts have turned out?
0.030.
Two
cucumbers, three carrots
and
four tomatoes lay on a plate. How many all vegetables are on a plate? How
many green? How many not round?
0.031. Kat and Natalia
are of identical growth. Kat is above Nicole, and Julia is above Natalia.
Who is above: Nicole or Julia?
0.032.
Who
was born with a beard? (The answer: a goat)
0.033.
At
whom ears are on legs? (The answer: at a grasshopper)
0.034.
What
animal runs most quickly? (The answer: a cheetah)
0.035.
At
whom eyes are on horns? (The answer: at a snail)
0.036.
What
bird is not able to fly? (The answer: a hen)
0.037. Who carries the
cubs in a bag?
0.038. Who sleeps
headfirst? (The answer: a bat)
0.039.
We
beat it by a leg, a hand and a stick. It is not a pity to anybody. And for
what we beat the poor creature? And that it is inflated! (The answer:
a ball)
0.040.
We
run at night, we run in the afternoon, but we’ll not leave anywhere. (The
answer: a watch)
Problems
for younger school children
0.101.
If a penguin will depart from
North Pole on the south in what direction it needs to move? (The answer:
in any)
0.102. The boy costs on two legs and weighs 12 kg. How many
kilograms will he weigh, costing on one leg?
0.103. A thermometer
shows 10 degrees of heat. How many degrees do such two thermometers show?
0.104. The adult person
speaks the child: «You are my son, but I am not father to you». Who is the
adult to the child?
0.105.
There
are two fathers and two sons, they bear 3 oranges. How many oranges
everyone bear? (The answer: one)
0.106. Sam spends for
road from the house up to school of 10 minutes. What time does he spend for
a back way?
0.107. A sister is 5
years old; her brother is 7 years old. How old will the brother be when his
sister will be 7 years old? (The answer: 9 years)
0.108. There were 15
sweets. One of brothers has eaten 2 sweets, and another – 3. How many
sweets will to their sister get?
0.109. You have got in
a dark room, in which a paraffin lamp, a gas
cooker and a candle are. What will you ignite all over again? (The
answer: a match)
0.110. Three brothers
are in family. Each of them has 2 native sisters. How many all children are
in family? (The answer: 5)
0.111. What is heavier:
one kilogram of cotton wool or half a kilogram of iron?
0.112. Five apples lay
in a basket. How to divide them between 5 girls that everyone has received
on 1 apple and that 1 apple remains in a basket?
(The answer: to four
girls to give on one apples, and the fifth – a basket with the remained
fifth apple)
0.113. There are 5
candles on a table. Two from them died. How many
candles remain on a table?
0.114. Two boys played
chess 2 hours. What time did each of them play?
0.115. There were 2
glasses with a cherry, 3 glasses with a strawberry and 4 glasses with a
raspberry on a table. Alex and Jack have eaten a cherry from 1 glass, a
strawberry from 2 glasses and a raspberry from 3 glasses. How many glasses
remain on a table?
0.116. To weld one egg
10 minutes are necessary. What time is necessary to weld 2 eggs?
0.117. Three horses
have run 30 kilometers. How many kilometers each horse has run?
0.118. A plane flied 80
minutes from city A to city B, and in the opposite direction - 1 hour and
20 minutes. Why?
0.119. There was a
strong rain in midnight. Whether is possible to hope, that in 72 hours
there will be a solar weather?
(The answer: it is
impossible, as in 72 hours there will be again a midnight, and the sun does
not happen at night)
0.120. Sam is below
Nick and Nick is not above Alex. Who from boys is the highest, and who is
the smallest?
0.121.
At
a stop of a bus two persons cost. One them is the father of the son of
another. How it is possible?
0.122. Each match has
length 4 centimeters. As from 18 matches to combine METER?
0.123.
For
the book have paid 100 dol. And it is necessary still so much, how many it
would be necessary to pay, if for it would pay so much, how many it is
necessary to pay. How many there is a book? (The answer: 200 dol.)
0.124. Diameter of deep
round lake is equal 200 meters. In the middle of lake there is an island on
which a tree grows. On coast of lake also there is a tree. The person, not
able to float, wishes to get from coast on island. It has a cord in length
hardly more than 200 meters. How can he get from coast on island by means
of this cord?
0.125. On three tin
banks with cookies labels «Oat cookies», «Chocolate cookies» and «Almond
cookies» are mixed. Banks are closed, so you cannot glance inside. You can
take only one cookie only from one bank, and then correctly arrange labels.
From what bank is it necessary to take cookie?
0.126. In cafe there
were three friends: sculptor White, violinist Black and artist Red. «At one
of us white hair, at another – black, and at the third – red but at anybody
color of hair mismatches a surname» - a dark
haired man has noticed. «You are right » - White have told. What color of
the artist hair?
0.127. Three years ago
Natalia was in 7 times more senior than her sister Maria. Two years ago
Natalia was in 4 times more senior than Maria. One year ago Natalia was in
3 times more senior than Belief. How old are Natalia and Maria?
0.128. Nick, Alex and
John are interrogated in police in connection with theft of a bicycle. Nick
has told, that the bicycle has stolen by Alex. Alex has declared that he is
innocent. John has told, that he also is not the thief. The policeman knew
that only one of them speaks the truth. Who has stolen a bicycle?
0.129. In one city all
people were dealers or potters. Dealers always spoke a lie, and potters –
the truth. When all people have gathered for the area, each of gathered has
told the rest: «All of you are dealers! » How many potters were in this
city? (The answer: 1)
0.130. Michael and Alex
played on an attic, where dirtily enough and darkly. Then they have gone
down downwards. All Alex’s person was dirty, and Michael’s person remains
pure. Despite of it, only Michael has gone to wash. Why?
0.131. Classical
problem: a wolf, a goat and a cabbage. The person needs
to be forwarded through the river on other coast of a wolf, a goat and a cabbage.
He has a boat. In a boat only two places. If to take with itself a wolf,
the goat will eat cabbage if to take cabbage the wolf will eat a goat. How
it can be made, that all have remained are whole and safe? (to make a figure)
0.132. Problem-joke.
How many cakes can be eaten on an empty stomach?
0.133. In each of 4
corners of a room a cat sits. Against each cat sits on three cats, on a
tail at each cat one cat sits. How many cats sit in a room? (The answer:
4 cats)
0.134. What cow lives
more full: having a tail or lacking a tail?
0.135. For the book have
paid 10 dollars and half more to cost. How many there is a book? (The answer:
20 dollars)
0.136. Along the street
there is a bus. At the 1-st stop 3 persons have entered and 2 persons have left,
at a following stop 5 persons have entered and one has left, then 6 persons
have entered and three have left, then 3 persons have entered and 5 have left,
further 4 persons have entered and 1 has left. How many all was stops at
the bus? (The answer: 5 stops)
0.137. A cord has been cut
in 4 places. How many slices of the cord have turned out?
0.138. The brick weighs
1 kg and still half of the brick. How many the brick weighs? (The answer:
2 kg)
0.139. Three pupils
played with each other in chess. How many parties have played everyone? (The answer: 2
parties)
0.140.
For
manufacturing very tasty dish 4 liters of water are required exactly. There
are two saucepans: 3-liter and 5-liter. How to measure exactly 4 litres?
0.141. Classical
problem: a finding of a false coin. There are three coins. One of
them – false, is easier than the others. Find a false coin one weighing on
lever weights without weights.
0.142.
In
February, 2004 there were 5 Saturdays. What day of week was on February,
12th? (recollect, that such leap-year)
0.143. Write down
number 4 in three identical digits, having
connected them by signs on actions.
0.144. There are 100
apartments in the house. How many times does digit 9 meet on doors?
0.145. The saucepan
filled with water up to the top weighs 5 kg, and filled half – 3 kg. How
many waters are contained within a saucepan?
0.146. Problem-joke.
Show, that if to add 4 to 6 it will turn out 11. (use the Roman digits)
0.147. Cross out 9 points by 4 direct lines,
not tearing off a pencil from a paper:

0.148.
When
is it possible to cut a hand about water?
0.149. When the goose
costs on one leg he s 3 kg. How many
does the goose weigh costing on both legs?
0.150.
There
were 5 roses and 10 dahlias In a vase. The grandmother have received all
roses and 3 dahlias. How many roses remain in a vase?
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