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Level 2 IMO Class 3 SOF 2022-23 Mathematics Olympiad solved paper #maths #olympiad #sof #imo

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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

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

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

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

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

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คำบรรยาย YouTube:Level 2 IMO Class 3 SOF 2022-23 Mathematics Olympiad solved paper #maths #olympiad #sof #imo