This content is a walkthrough of the Level 2 IMO (International Mathematical Olympiad) question paper for Class 3, covering both the Mathematics and Achiever sections. It aims to explain the solutions to various problems, including geometry, arithmetic, fractions, time, and data interpretation.
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hello everyone today we are going to
solve level two IMO question paper of
2022 for class three if you have not yet
subscribed the Channel please do so and
now let's solve the question
paper level two question paper will have
two sections one would be mathematics
and the other one would be achiever
section so let's first solve the
mathematics section question one how
many of the following shapes are 3D shapes
shapes
that's the easy one so we have one that's
that's
Square two that's Cube three that's your
cone and four that is your cuboid rest
all are 2D shapes so we got only four 3D
shapes our right answer would
be option b
four moving to the question two the
given thermometer
shows so what does it show it show
70° okay it's 70° Celsius now we have to
find out of these four equations or four
Expressions which one will give you 70°
let's see 48 + 24° C gives you 72 65 +
8° C will give you 73 45 + 25° C is
giving you 70 and then 30 + 50 will give
you 80 so we already got our right
answer that is option
C option C is giving you the same degree
which this thermometer is
showing question three Kika has the
following Stones so how many stones are
there they are in total 25 Stones if she
gave 10 stones to her brother then what
fraction of the total Stones is left
with her we have to find the fraction of
the left Stones so when she gave 10
stones the left stones
are 25 - 10 which is equal to 15 now
let's understand about fraction a
fraction is used to represent the
portion or part of the whole thing the
number on the top is called numerator
and the number on the bottom is called
the denominator and the number defines
the number of equal parts taken left or
asked whereas a denominator defines the
total number of equal parts in a whole
so how do we have to write this we have
to write the left Stone as numerator and
then the total number as denominator so
left Stone fraction is 15 by
25 which is option
D okay got it moving to the next
question direction for question four and
five is the given pictograph shows the
number of different different flowers
fall in the garden study the pictograph
carefully and answer the following
questions okay so we have a pictograph
where flowers are names are written and
then number of flowers are marked each
number of pictorial flower is equal to
actual five flowers so let's find row
are 2 into 5 that is 10 roses are there
tulip 3 into 5 15 tulips are there then
you have sunflower which is just 5 Lotus
3 into 5 15 Jasmine 4 into 5 20 so now
we know the actual number of fls now
let's see the question there were Dash
less tulips Fallen than jasms okay so we
have to do the substraction because
whenever we have to find the difference
of something we do the subtraction okay
so Jasmine is 20 and then two lips are
15 20 - 15 is equal to 5 so the answer
is option A let's see question five how
many roses and flowers and lotuses were
Fallen all together let's add them 10
which is roses five that is Sunflower
and then we have 15 that is uh lotuses
so in total we got 30 the right option
C question six which of the following
options shows the greatest four digigit
number that can be formed from the
digits 4 09 and 1 using each digit only
once so for such kind of questions when
it is asked that you have to form a
greatest number we have to follow the
descending order so as per the
descending order if we have to arrange
4091 the answer should be
941 0 that is option C we get 9,000 410
as the greatest 4digit number from these
digits question seven which of the
following options is incorrect let's see
25 minutes equal to 1500 seconds let's
solve it so 1 minute is equal to 60
seconds so 25 minutes will be equal to
25 into 60 that is
15500 seconds so this is correct it is
not incorrect let's see B 144 hours
equal to 6 days again we have to solve
it in one day how many hours are there
24 right so we have to divide 144
into 24 let's do that and we get 6 days
this is also correct option C 3900
minutes equal to 65 hours in 1 hour
there are 60 minutes so we have to
find how many hours would be there in
3900 minutes so in if if in 60 minutes
it is 1 hour
3900 / by 60 will give you the number of
hours which is equal to 65 hours this is
also correct that means none of these
are incorrects for us option D is the
right answer now let's see the question
eight there are Dash slanting lines in
the given figure let's find out so we
can see 1 2 3 4 5 six six slanting lines
are here because they are not horizontal
they are not vertical they are slanting
lines okay so six are here same way six
are here so 6 + 6 12 we got 12 13
14 15 16 17 18 19 20 21 22 23 24 25 26
27 and 28 so in total there are 28
slanting lines so if you see this one
this is not considered as slanting L
because this is horizontal same for
this so these two are excluded and we
28 question nine what fraction of the
letters of the given word is Vel so
first of all we have to count the total
letters in this word and then we have to
to find how many vbls are there and then
we will form the fraction let's count
the total number in
intertainment 1 2 3 4 5 6 7 8 9 10 11 12
13 so total letters in entertainment is
13 so we know our denominator now let's
find the numerator numerator would be
vels so we have e e a i e in total five
time WBLS are coming over here so the
fraction would be option D 5 by 13
moving to the next one question 10 the
number shown on the given Abacus is
let's see the number so at th000 place
it is 4 which is
4,000 then
200 then
35 so
4,2 35 is our option D which is our
correct answer question 11 read the
given statements carefully and select
the correct option p is a book book
looks like a sphere not at all it's not
sphere so this is incorrect Q cone has
no vertex this is also wrong because
vertex is a corner where line segments
meet and we can see on the top of cone
there's a Vertex so this is also
incorrect p and Q both are incorrect so
for us option D is the correct answer
that is neither P nor Q is
is
correct question 12 study the numbers
carefully so we have certain set of
numbers and we have to find the greatest
number and the smallest number over here
all we can see are in Thousand so let's
find the greatest number here out of
these the greatest number would be
9,248 because we can see the th000 value
highest in this and the smallest number
2,145 so for us the right answer is
option A let's see 13 find the value of
x - y okay so here is one equation and
then we have to find the value of x - 5
so before that we have to find value of
x and value of y let's see 7 X5 - 30 y
will give you 490 4 okay now let's first
see this one we'll see the ones 5 minus
something will give you four so what do
we subtract from five that gives us four
it's very easy it's 1 so 5 - 1 is equal
4 so we got the value of y which is 1
same way in the T we can
see something - 0 gives you 9 if any we
subtract Zero from a number we get the
same number so we got X = to 9 now we'll
do x - Y which is 9 - 1 which is equal
to 8 so the right option is option B8
let's see the next one find the sum of
shaded fractions of the given figure
okay let's see the Shaded fractions
first figure will give you 1 2 3 4 4 so
four shaded divide by or by total total
is 8 so 4 by 8 is the Shaded fraction of
the first figure same way 5 by 8 is the
Shaded fraction of the second figure now
we have to add them now here let me
explain you if the denominators are same
then we simply add the numerators and we
keep the denominator same so for this 4X
8 + 5x 8 will give you 4 + 5 by 8 which
is equal to 9 by 8 for us the right
a 15 which of these options shows 1 hour
15 minutes less than the time shown in
the clock and in the clock we have
12:15 now let's go back 1 hour and 15
minutes so 12 hours will get converted
to 11 hours we are we are substracting 1
hour and then we are taking those 15
minutes also so it will give you only 11
hours 0 minutes right option here is option
option
a moving to question 16 find the sum of
place values of the ncircle digits of
the given number here in circle digits
are 5 and 7 what is the place value of
five it is 500 place value of seven is
1es that is only 7even so 500 + 7 is
57 we got the answer as option b let's
see the next one Amit went for his car
service on the day just before the third
Sunday of
March 20xx on which of the following
date did he go for his car service so
let's first find the third Sunday of
this calendar this is first Sunday which
is 6 second is 13 and third Sunday is
20th March and when did he go for the
car service a day before that so the
right answer is going to be 19th of
C question 18 find the minimum number of
straight lines that are required to draw
the given figure it's just the twisting
of the question because all the straight
lines in the figure are minimum required
we need them to make this kind kind of
figure and before we proceed Let Me
Clear one thing that vertical horizontal
and slanted all these kinds of line are
straight lines until and unless any
curve is there the line is a straight
line so let's now count 1 2 3 4 5 6 7 8
9 10 11 12 13 14 15 16 17 18 and 19 in
total we have 19 straight line but
there's no option of 19 but there's
option of none of these right answer is
option D because 19 is not there so none
of these is the right answer question 19
identify the three digigit number using
given Clues oh wow its 10 Place digit is
largest on digigit OD number so which
one is largest on digigit odd number
that is nine we will put nine at the
10's place okay let's do that its 100s
Place digit is 5 less than its 10 Place
digit very good so 9 - 5 is equal to 4
so at the place of 100 it is 4 now let's
see the third clue the sum of all of its
digits is 16 okay so 4 + 9 + something
will give you 16 so that something is
going to be 16 - 13 which which is equal
to three we also got our ones that is
three now here it is
493 the right option is option C moving
to question 20 which of the following
items can be bought with a given amount
of money let's first see the total
amount of money it is 200 + 200 that is
400 + 100 is 500 + 50
550 + 10 is
560 let's see which option is less than
560 or equal to
560 that is the only thing which we can
buy right and out of a b c and d the
right answer is option A because it only
rupe question 21 Diva collected
1,256 playing cards in first year if she
collected 115 less playing cards in
second year than the first year then how
many total playing cards did she collect
in the two years now let's see the data
which is already given in the question
we have the offer value of cards of
first year that is 1256 now we have to
calculate the card she got in the second
year which is less than the first year
be
1,256 minus 115 which is equal to
1,141 cards now we have to add cards of
both the years which is equal to
1,256 +
2,397 and that is option C question 22
which of the following options shows the
correct descending order descending
order is the decreasing order the
highest value number First and the
lowest value number at the last so P
is500 ml Q is 2 L 5 ml okay now here we
have to convert everything in ml because
these units need to be same to put it
into a OD an order okay so Q is 2 L 5 ml
1 L is equal to 1,000 ML and 2 L is
equal to 2,000 ml so Q is actually 2005
1,350 ml now let's do the descending
order and the descending order is going
to be QP R because Q has highest value
and R has smallest value question 23
which of the following letters has least
number of
sides okay least means minimum number of
sides let's see a a is
1 2 3 4 5 6 7 8 9 and 10 a has 10 sides
just remember this B has 1 2 3 4 5 six
sides so B is less than a let's see c 1
2 3 4 5 6 7 8 9 10 11 12 13 okay till
now B is having the minimum number that
is six let's see d 1 2 3 4 5 6 7 8 okay
so B is having the least number of sides
b question 24 SN has two 500 notes with
her okay so one note is 500 so two notes
of 500 is equal to 1,000 now she has
rupees thousands with her she buys the
following items now let's see how many
items cost how much and then we'll add
so that we will know that how much money
was spent by snaha 250 + 21 + 250 + 50
is equal to 571 so she spent 571 rupees
out of her 1,000 rupees the amount left
with her would be we have to do the
subtraction so 1,000 minus
571 gives you 429 rupees so the money
left is 429 rupees which is option
C question 25 compare the following and
fill the Box using less than greater
than or equal to sign let's see 900s 251
and 3 1s let's convert it 900 + 250
because 251 is 250 + 3 is equal to
1,153 the other one is 900s 310 and 41s
which is equal to 900 + 30 + 40 = 970 so
1,153 is greater than
a question 26 RMA went to Market to buy
some fruits she buys 3 Kg apples 1 kg
watermelon 2 kg oranges and 3 Kg grapes
how much money is spent by her here in
the table we have items and they cost
per kg per kg means per 1 kg now let's
see how much she B bought she bought 3
Kg apples 1 kg Apple equal to 80 rupe so
3 Kg apples will be equal to 240 rup
same way she bought 1 kg water Mill so
it is 65 rupees then she bought 2 kges
oranges if 1 kg is equal to 50 rupees
then 2 KS will be equal to 2 into 50
which is equal to rup 100 and she bought
3 Kg grapes so 3 into 55 is equal to rupes
rupes
165 how much money is spent by her means
we have to add all this amount that is
240 + 65 + 100 + 165 is equal to
570 which is option
D okay let's see question 27 the sum of
lengths of kitchen knife and crayon is
Dash longer than the length of painting
brush so let's first find the length of
crayon length of crayon is from here
till here which is equal to two
right two rectangles now let's find the
length of kitchen knife which is from
here till here that is 1 2 3 4 5 6 six
rectangles so 6 + 2 is equal to 8 so sum
of length of kitchen knife and crayon is
eight let's see the painting brush
length it is is from here till here
which is 1 2 3
4 right so 8 - 4 is equal
to 4 the right option is option
b the sum of length of kitchen knife and crayon
crayon
is four rectangles longer than the
length of painting
brush 28 cin B 30 pink fluids and 12
blue fluids she tied all the fluids
equally into bundles of six flues how
many bundles did she have in all so
let's find the total number of flues
which is equal to 30 + 12 = to 42 flues
now what is
given it is given that how many fluids
would be there in each bundle and we
have total number of flutes and we have
to find the groups the number of bundles
so number of bundles equal to Total
fluids which is 42 divide by flute in
each bundle that is six which will give
you 42 by 6 equal to 7 the right answer
is option D question 29 two milk
containers contain the quantity of milk
as shown okay so P has 19 L and Q has 24
L which container contains more quantity
of milk very clear Q contains it and by
how much that means we have to find the
difference so 24 - 19 is equal to 5 the
right option here is option b
q has more quantity how much more 5 L
more than P question 30 if x is equal to
515 -
515 and when X is multiplied with zero
then the result obtained is that is
something which you need to tell so X is
equal to 515 -
515 that is zero right because we are
substracting the number by itself and if
0 is multiplied by 0o that means nothing
is multiplied by nothing which is equal
to0 the result will be zero option A is
correct answer
moving to the achiever section question
31 observe the given two abacuses
carefully and select the correct option
4,524 okay fine let's see now option A
is the number shown on Aus Q is more
than the number shown on Aus P that's
wrong because Q's number is
4,524 which is smaller than
5,432 so a is
incorrect B the number shown on the
Backus p is
5,431 this is also incorrect because it is
is
5,432 see the expanded form of the
number shown on a backa Q is
3,420 + 4 this is also incorrect so all
of these are
incorrect the correct answer is option D
these question 32 if two apples plus
mango equal to rupees 50 1 mango plus
banana plus strawberry equal to rup 17
banana plus strawberry equal to R 7 then
find the value of a apple plus banana
plus strawberry this type of question
what we do we pick one equation and put
the input into the other equation so a
friend we'll what we'll do first is
we'll take the value of banana plus
strawberry and we will put that in the
second equation let's do
that so we got mango + 7 = to rup 17 so
mango is equal to 17 - 7 is equal to R
10 now we got the value of mango we are
going to inut that in the first equation
two apples plus RUP R 10 = to 50 which
is equal to 2 apples equal to rup 40 now
find the value of one apple it's rup 20
we got all the values to be put in the
final equation Apple R 20 banana plus
strawberry rupe 7 it is equal to
27 we got our answer that is option C
C
the given bar shows the number of toy
bikes five friends have study the given
graph carefully and answer the following
question so Punit has 25 bikes hsh 20
viik 35 anit 20 and then vat has 30
bikes a how many less toy bikes does hsh
has then anit and Virat have together so
what we have to do first we have to find
how many and vat have together which is
equal to 50 then what we have to do is
we have to do the
subtraction because they asking how many
less y byx does hsh has than that total
number so what we'll do we'll do the
subtraction 50 minus yxx with h that is
equal to 20 which is equal to 30 we got
a as 30 B find the total number of toy
bikes all the friends five friends have
we have to Simply do the summation 25 +
20 + 35 + 20 + 30 which is equal to
130 so we have option
A as a 30 and B
130 option A is the right
answer question 34 study the given
figure carefully and select the
incorrect option so p and Q are two
figure and they have some shaded portion
and some unshaded portion let's find the
Shaded fraction and unshaded fraction of
both the figures for p the Shaded
fraction is 4 by 9 unshaded fraction is
5 by 9 for Q shaded fraction is 6 by 9
and unshaded fraction is 3x 9 a the
Shaded fraction of figure Q is more than
the Shaded fraction of figure P which is
correct because in Q it is six and in uh
P the Shaded parts are four B the sum of
unshaded fractions of both the figure is
8 by 9 that is also correct denominator
is same so we'll simply add the
numerator so 5 + 3 by 9 which is 8 by 9
this is also
correct in figure P the unshaded
fraction is less than the Shaded
fraction now this is incorrect because
in figure P unshed fraction is more more
than the Shaded fraction you can clearly
see five parts are unshaded and four
parts are shaded so we got our incorrect answer
answer incorrect
incorrect
statement and the option is option C so
for us the answer is option C question
35 identify me now there are some Clues
I am a 3D shape okay out of a b c and d
AB b c are 3D shape so we are kicking
out D I have six flat
surfaces I have no curved
face all my faces look same it is very
easy the answer is option C which is a
cube it's a 3D shape it has six flat
faces it has no curved line and all
faces look same because it is a cube
with this we have successfully completed
2022 do like the video and subscribe to
the channel if you have not yet done and
stay tuned because we'll be posting many
more question papers for level two as
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