Class 4 IMO (2011-2015)

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1

INSTANT

CLASS

4

5 Years

Solved Papers

(2011-2015)

e b

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Disclaimer : The information in this book is to give you the path to success but it does not guarantee 100% success as the strategy is completely dependent on its execution. And it is based on last years papers of IMO exam.

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CLASS 4

5 5 Â thth_{IMO 2011}_{IMO 2011} 6 6

Â thth_{IMO 2012 - SET A}_{IMO 2012 - SET A} 6

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Â thth_{IMO 2012 - SET B}_{IMO 2012 - SET B} 7

7

Â thth_{IMO 2013 -}_{IMO 2013 - SET A}_{SET A} 7

7

8

9

Â thth_{IMO 2015 - SET B}_{IMO 2015 - SET B}

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5

5 th

th

Year 2011

Class 4

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2 5th IMO - 2011

SECTION I : LOGICAL REASONING

1. , ×2 = 18. Find th e valu e of .

(A) 72 (B) 81 (C) 9 (D) 48

2. Four bus es P, Q, R and S arrived at a bus terminal at four d ifferent timing s. The given chart shows the arrival times of buses P,Q,R and S respectively. Which bus was the rst to arrive respectively. Which bus was the rst to arrive at the bus terminal ?

(A) P (B) Q

Bus Arrival time

P Quarter past 5

Q 5

R 10 minutes to 5

S Quarter to 5

(C) R (D) S

3. The numb ers giv en below fol low a pattern. 39, 55, 71, 87, 103, ?

If the patte rn continues in the same way , which numbe r should come next ?

(A) 117 (B) 119 (C) 127 (D) 130

4. The giv en chart shows the numb er of markers on the desk of some students.

Which two students have number of marke rs that could be shared equally among three students?

(A) Harsh and Mohit (B) Mohit and Tanuj

Markers on Desks Stu dent Num be r o f M ark ers

Sanjay 12

Harsh 19

Mohit 13

Tanuj 9

(C) Sanjay and Mohit (D) Sanjay and Tanuj 5. A number line is shown below.

Wha t is the missing number?

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3 5th_{IMO - 2011}

6. Bittoo is usi ng three cards shown be low to make a three -digit number . Which list shows all the possible three-digit numbers Bittoo can make using each card if repetition of cards is not allowed ?

(A) 367, 673, 736

(B) 367, 376, 673, 736

7 3 6

(C) 367, 376, 637, 673, 736, 763

(D) 367, 376, 637, 673, 736, 763, 777, 333, 666 7. Given map is showing the dist ances between

Rehaan's house, his school and shopping mall. Which of the following statements is CORRECT ?

(A) The distance between Rehaan’s house and his school is 1600 m.

(B) The distance between Rehaan’s house and his school is greater than the distance between his school and the shopping mall.

(C) The distance between the shopping mall and Rehaan’s house is 3535 m.

(D) The distance between the shopping mall and Rehaan’s house is shorter than the distance between his school and the shopping mall.

8. How ma ny people in the pict ure a re wit hout spectacles?

(A) 14 (B) 15 (C) 16 (D) 17

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4 5th IMO - 2011 9. Pre eti is sele cting a be ad for a ne ckla ce. Her

Star eart Shapes Colours Gold Silver Purple Orange White choices of shape s and colo urs of bea d are shown

here. Which tree diagram shows all the possible combinations of 1 shape and 1 colour?

(A) (B)

(C) (D) one o t ese

10. Eve ry class that visits Lif e Science Muse um is divi ded into groups of 4 stude nts for each tour guide. Which of the following classes would not be able to form

groups of 4 students with none left over?

(A) c ass o stu ents (B) c ass o stu ents (C) c ass o stu ents (D) c ass o stu ents

SECTION II : MATHEMATICAL REASONING

11. It is now 11:3 0 a.m. W here will the hour hand be pointing 1 hour late r ? (A) Between 11 and 12(B) Between 12 and 1 (C At 12 (D) At 1 12. Which pa ir of lines rese mbles a railway tra ck?

(A) (B) (C (D) ot an

13. Each st and s fo r 10 g. Fin d th e mass of th ree .

(A) g (B) g

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5 5th_{IMO - 2011}

14. The give n list shows the numbe r of cars of each colour in a

parking lot.

There a re 18 red cars. ••

There are 16 bl ue cars. ••

There are 6 whi te cars. ••

There a re 10 gr een cars . ••

Which key correctly completes the pictograph?

(A) Each means 5 cars. (B) Each means 4 cars. (C) Each means 2 cars. (D) Each means 3 cars.

15. Veena wanted to take the bus at 5:10 p.m. She arriv ed a t th e bus sto p 25 min utes before 5 : 10 p.m. W hat time did Ve ena arrive a t the bus stop?

(A) 5:35 p.m. (B) 4:45 p.m. (C) 4:40 p.m. (D) 4:25 p.m. 16. The models given below are shaded to show 3 fractions.

7/8 7/10 7/9

Which list shows these fractions in order from the greatest to the least? (A) 7 10 7 9 7 8 > > (B) 7 9 7 8 7 10 > > (C) 7 8 7 9 7 10 > > (D) 7 10 7 8 7 9 > > 17.

17. Which of Which of the following the following  gures corgures cor rectly shows rectly shows a line of a line of symmetry?symmetry?

(A) (B) (C) (D)

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6 5th IMO - 2011 18. The given table shows the number of buttons that

Buttons Made

Week Number o f B uttons

Week 1 84,503

Week 2 80,968

Week 3 84,551

were made at a button factor y each wee k fo r th ree wee ks. W hich of the followin g shows c orrect order of the week with the greatest number of buttons made to the wee k wit h the least number of b uttons made?

(A) Week 1, Week 3, Week 2 (B) Week 2, Week 3, Week 1 (C) Week 2, Week 1, Week 3 (D) Week 3, Week 1, Week 2

19. I am thin king of a number . If I a dd 85 to the number and then subtract 15 0 from the result, the answer is 130. What is the number I am thinking of ?

(A) 20 (B) 105 (C) 195 (D) 365

20. Wha t is t he place value of 7 in the number given below ? 32,074

(A) 7 ones (B) 7 tens (C) 7 hundreds (D) 7 thousands 21. Which number is a common factor of 42 and 7 0?

(A) 7 (B) 10 (C) 21 (D) 8

22. Mohit place d points t hat re prese nt the ve rtices of a gure on the grid. Which gure can be made by a gure on the grid. Which gure can be made by conn ecting th ese vertic es alph abe tic ally, starti ng and ending with point P?

(A) Pentagon (B) Hexagon (C) Triangle (D) Square

23. Anjali put 50 pickles on 10 sandwiches. She put the same number of pickles on each sandwich. Which of the following number sentences can be used to nd how each sandwich. Which of the following number sentences can be used to nd how many pickles Anjali put on each sandwich?

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7 5th_{IMO - 2011}

24. Jama l's clues a bout his myst ery numbe r are shown in the box. What is Jamal's mystery number?

(A) 58,260 My number has 5 tens • 8 thousands • 2 ones • 6 ten thousands • 0 hundreds • (B) 62,850 (C) 68,052 (D) 86,520

25. Look at the numbers shown below. Subtract 2 from the 3 rd_{number from the left.} The answer is the same as the ______ number from the right.

(A) 1st

(B) 2nd

(C) 3rd

(D) 4th

SECTION III : EVERYDAY MATHEMATICS

26. Nihal rode his bike on two days. He rode a total of 12 kilometres in two days. On the rst day, Nihal rode

the rst day, Nihal rode 7 1

2 kilometres. How many kilometres did Nihal ride on

the second day ? (A) 191 2kilometres (B) 5 1 2kilometres (C) 4 1 2kilometres (D) 31 2kilometres

27. Tanmay ordered 18 boxes of shirts for his store. Each box had 12 shirts. What was the total number of shirts in these boxes?

(A) 54 (B) 216 (C) 378 (D) 30

28. There are a total of 516 trees in 6 parks. There are an equal number of trees in each park. Exactly how many trees are there in each park?

(A) 96 (B) 86 (C) 81 (D) 68

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8 5th IMO - 2011 29. The stud ents at a scho ol col lected cans of food. The fou rth -grade stud ents coll ected

564 cans. The fth-grade students collected 2 times of fourth-grade students. 564 cans. The fth-grade students collected 2 times of fourth-grade students. What was the total number of cans collected by these students?

(A) 1,692 (B) 1,293 (C) 175 (D) 1,801

30. Mrs. G upta is buyi ng pencils for the students in her class. The re a re 2 3 students in the class. Each students will receive 2 pencils. Pencils are sold in a packet of 6. What is the least number of packets Mrs. Gupta needs to buy?

(A) 4 (B) 7 (C) 8 (D) 9

31. Samrat spe nt `8,762 to paint his house. He also spent ` 987 to repair the roof. What was the total amount Samrat spent to paint his house and repair the roof?

(A) `7,775 (B) `9,749 (C) `9,750 (D) `18,632

32. All the students in Mr. Kapoor’s class are working in groups. There are 6 groups of 4 students and 1 group of 3 students. What is the total number of students in Mr. Kapoor’s class?

(A) 18 (B) 24 (C) 26 (D) 27

33. At a local fair in Delhi, Katrina had `_{500 to spend. She spent} `_{140 on video}

games, ` 45 on large popcorn and `15 on small lemonade. How much money is left with Katrina ?

(A) `₃₀₀ _(B)`₁₅₀ _(C)`₂₀₀ _(D)`₁₃₀

34. There are 48 scouts in a training camp. Initially 6 scouts were sharing a tent. How many more tents are needed if 4 scouts are to share a tent ?

(A) 2 (B) 4 (C) 6 (D) 12

35. There are 140 tricycles and 276 bicycles in a park. How many wheels are there in all ?

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6

6 th

th

Year 2012

Class 4

Set A

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2 6th_{IMO - SET A}

SECTION I : LOGICAL REASONING

1. Which of th e g ive n re cta ngle has the la rge st perimeter? (A) P P Q R S 0 1 2 3 4 5 (B) Q (C) R (D) S

2. Which o ne of the follow ing ha s N O line of symm etry ?

(A) (B) (C) (D)

3. Fin d the values of P and Q res pectively .

8800 10200 P 13000 Q 15800

(A) 13400, 14400 (B) 12600, 14800 (C) 10600, 15000 (D) 11600, 14400 4. Which h ouse has the la rge st va lue ?

(A) 5 thousands5 thousands 7 hundreds 7 hundreds 25 ones 25 ones (B) 7 thousands7 thousands 72 tens 72 tens 115 ones 115 ones (C) 50 tens 50 tens 99 ones 99 ones (D)

5. 12 friends me t at a pa rty . Eac h friend shook hand s with eac h other ex actly once . Number of handshakes took place is _____.

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3

th

-6. Riya is 17th_{from the front in a queue. She is 19} th_{from the end. Then how many} students are there in the queue?

(A) (B) (C (D)

7. Removin g whic h of the follow ing sq uare will re sult no change in the perimeter of the given gure? no change in the perimeter of the given gure?

(A) (B)

(C) (D)

8. If the re a re 6 cells arou nd one cell, 8 cells a round two cells in a row, then number of cells around a row of three cells is _____.

(A) (B)

1 2

(C) (D)

9. Rohan wa nts to move just one matchstick to ma ke the e qua tion correc t. W hich part will he take out ?

(A) Q

P Q R S

(B) (C) (D)

10. Find the missing nu mber in F ig. ( X). 64

32 Fig. (X) 40 5 8 ? 4 8 56 (A) (B) (C) (D)

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4 6th_{IMO - SET A}

SECTION II : MATHEMATICAL REASONING

11

11.. Which of the followWhich of the follow ing is equivalent ing is equivalent to "ve lakhs to "ve lakhs one hundreone hundre d and nine"?d and nine"?

(A) 50109 (B) 501009 (C) 500109 (D) 510090 12.

12. The giveThe give n bar grn bar gr aph shoaph sho ws the hews the he ight of veight of ve chil dren. Wha t is the diff erence betwee n the height of the tallest child and the shortest child ?

(A) 45 cm (B) 30 cm (C) 60 cm (D) 105 cm

13. The perimeter of the star equals t he perimeter of t he hexagon (a ll s ides are e qual). If each side of the hexagon is 20 cm long, then each side of the star is ____.

(A) 12 cm (B) 10 cm (C) 8 cm (D) 9 cm 14. If + + = 120 and × = 100, then – = ? (A) 15 (B) 110 (C) 45 (D) 65

15. Which of the following shows all the fac tors of 30?

(A) 1, 2, 3, 5, 6, 10, 15, 30 (B) 2, 3, 5, 6, 15, 30 (C) 1, 2, 3, 5, 6 (D) 1, 2, 5, 6, 15, 30, 60

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5 6th_{IMO - SET A}

16. Find the va lue of Y to ma ke the e xpression tr ue. 8000 = 50 × 80 × Y

(A) 2 (B) 10 (C) 20 (D) 100

17. Arr ange the boxes in order, beginnin g from the heaviest to lightest.

(A) P, Q, R, S (B) Q, R, S, P (C) R, P, S, Q (D) S, Q, R, P

18. How much does the cost ?

(A) ` 100 + + = 720 ` + + = 960` (B) `320 (C) `200 (D) `240 19.

19. Which frWhich fr actioactio n of the given of the give n gurn gur e is unshae is unsha ded?ded? (A) 2 3 (B) 3 4 (C) 1 4 (D) 1 3

20. Whe re will the minute ha nd point after 1 hour 4 5 minutes from the time shown on the clock ? (A) 9 12 6 9 3 10 11 8 7 1 2 4 5 (B) 1 (C) 6 (D) 12

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6 6th_{IMO - SET A}

21. Roman numeral e qui valent to 89 is ___ ___.

(A) LXIL (B) IXC (C) XIC (D) LXXXIX

22. What is the we ight of ea ch box? (A) 40 g

(B) 60 g (C) 240 g (D) 90 g

23. In which of the following dotted lines shows a line of symmetry?

P Q

R S

(A) P (B) Q (C) R (D) S

24. The product X = 2 × 2 × 3 × 5 × 7 × 7 × 11 × 13 × 17 × 19 is NOT divisible by a number. Which is the number?

(A) 220 (B) 51 (C) 65 (D) 54

25. Fin d the value o f X. (A) 0

(B) 3 (C) 5 (D) 4

SECTION III : EVERYDAY MATHEMATICS

26. Jenny a nd He nry sol d together 90 chocolates during a sale s promo tion. He nry sold twice as many chocolates than Jenny. How many chocolates did Jenny sell?

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7 6th_{IMO - SET A}

27. The capacity of a small container is 380 mL and the capacity of a big container is 1250 mL. If Aakash uses 8 small containers and 1 big container of water to ll is 1250 mL. If Aakash uses 8 small containers and 1 big container of water to ll up an empty tank, then what is the capacity of the tank?

(A) 3750 mL (B) 4290 mL (C) 3040 mL (D) 4190 mL 28. Priya is practicing fo r a ra ce. She uses the

given map to nd the possible routes. The given map to nd the possible routes. The route must start from her home a nd end at the park. She wants to run exactly 7 km. Which of the following is the best route?

(A) Home - Bank - Museum - Park School

Home Museum Park Lake Bank 2 k m 1 k m 2 k m 2 k m 1 k _m 3 k m 2 2 kkmm 2 2 k k m m 1 _k m 1 k m 1 1 kkmm 2 k _m Club

(B) Home - Museum - Park

(C) Home - Club - School - Lake - Park (D) Home - Bank - School - Lake - Park 29.

29. The length of a The length of a square eld square eld is 480 m. Vishis 480 m. Vish al runs 5 roal runs 5 ro unds around unds around the eld. Findthe eld. Find the total distance ran by Vishal.

(A) 2400 m (B) 960 m (C) 9600 m (D) 4800 m 30.

30. LookLooking at the adjing at the adj oinioining gung gu re, how mare, how ma nyny ance stor s did Garima had four genera tions ago? (A) 64 Garima Father Grand father Grand father Grand mother Grand mother Mother (B) 16 (C) 32 (D) 20

31. Arshan packed 726 burgers into packets of 3. He sold them at `_{2 per packet. How}

much did he get in all?

(A) `7542 (B) `484 (C) `242 (D) `712

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8 6th_{IMO - SET A}

32. There are 2 00 people in a hall. They are divi ded equally in to 7 gro ups o f adult s and 3 groups of children. If there are 2 adults in each group, then how many children

are there in each group ?

(A) 30 (B) 60 (C) 70 (D) 62

33.

33. Three friendsThree friends , Payal, Latika , Payal, Latika and Megha and Megha are at the are at the corners ocorners o f a rectanguf a rectangu lar eld.lar eld. At which point should they meet so that the distan ces they wal k to that point is

minimized? _Payal 4 km P Q R Latika Megha F E D 3 3 k k m m (A) Q (B) P (C) D (D) R

34. Prerna boug ht 80 pea ches. S he found ou t that out of every 10 peache s, 2 are rotten and had to be thrown away. How many peaches in the end are left with her ?

(A) 70 (B) 56 (C) 60 (D) 64

35.

35. In a grazing eIn a grazing e ld there are 60 ld there are 60 goats, 30 deers goats, 30 deers and 10 childreand 10 childre n. How many legs n. How many legs areare there in the eld ?

there in the eld ?

(A) 200 (B) 360 (C) 380 (D) 400

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6

6 th

th

Year 2012

Class 4

Set B

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2 6th_{IMO - SET B}

SECTION I : LOGICAL REASONING

1. Which o f the follo wing p arts mus t be sha ded so that line PQ becomes the line of symmetry? (A) I and II

(B) I and III (C) I and IV (D) II and III 2.

2. Which of the Which of the answer guranswer gur e is the e is the mirror image mirror image of g. (X), of g. (X), if the mirror if the mirror is placedis placed along PQ?

(A) (B) (C) (D)

3. Study th e a djoi ning di agra m to an swe r the question given below.

Grape tr ee is sou th-east of _______. (A) Mango tree

(B) Peach tree (C) Apple tree (D) Banana tree

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3 6th_{IMO - SET B}

4. Look the alpha bet se rie s be low :

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Which of the following is 9 th_{to the left of 3} rd_{alphabet from right end?}

(A) P (B) O (C) N (D) M

5.

5. Find the Find the next gnext gure in ure in the the gure pgure pattern battern b elow.elow.

(A) (B) (C) (D)

6. Complete the pattern in the Fig. (X) by selecting a gure Complete the pattern in the Fig. (X) by selecting a gure from the four options.

(A) (B)

(C) (D)

7. Which of th e follow ing p arts i s NOT embedded in the Fig. (X)?embedded in the Fig. (X)?

(A) (B) (C) (D)

8.

8. If in a If in a month of month of 30 days, 30 days, third Tthird Tuesday falls uesday falls on 17on 17th

, what will be the last day of , what will be the last day of the month?

(A) 5th_Tuesday _{(B) 4}th_Sunday _{(C) 5}th_Monday _{(D) 4}th_Wednesday

(26)

4 6th_{IMO - SET B}

9. How many pos sible comb ination s of one da y and one month are the re with 5 days and 5 months?

(A) 20 (B) 25 (C) 10 (D) 22

10. Find th e valu e of 15 × 50 × 80 × 40 × 20 × 10 × 10 × 100 × 0 × 100 × 20 × 100. (A) 15800 (B) 15000 (C) 168000 (D) 0000

SECTION II : MATHEMATICAL REASONING

11. I am a four digit number. Sum of my digits is 28. My thousand's digits is twice of my ten's digit. Who am I?

(A) 8947 (B) 6835 (C) 4687 (D) 3869

12. The ______ value of a digit is the digit itself, whereas the ______ value of a digit 12. The ______ value of a digit is the digit itself, whereas the ______ value of a digit

is determined by the place it occupies in the numeral.

(A) Face, Face (B) Place, Face (C) Face, Place (D) Place, Place 13. Find the va lue of expre ssion P + Q ÷ R × S, where P, Q, R, S R × S, where P, Q, R, S

are to be found from given division problem. (A) 10

(B) 8 (C) 6 (D) 4

14. Which of the following gures has fraction of shaded part more 14. Which of the following gures has fraction of shaded part more

than fraction of unshaded part of the g. (X)? than fraction of unshaded part of the g. (X)?

(27)

5 6th_{IMO - SET B} 15. If + + + + = 2780 and + + = 1960. Find th e valu e of + + + + + = ? (A) 4560 (B) 4650 (C) 4950 (D) 410 16.

16. Find the value of X, if the perimeter of the gure below (not drawn to scale) is 50 Find the value of X, if the perimeter of the gure below (not drawn to scale) is 50 cm.cm.

(A) 10 cm (B) 5 cm (C) 15 cm (D) 6 cm 17. The number bond below shows the common factors of 36 and 54. Find the sum

of P, Q and R. of P, Q and R.

(A) 16 (B) 15 (C) 20 (D) 18

18. Which of the following state ments is CO RRECT? (A) There are seven basic symbols of the Roman numerals.

(B) A symbol of greater value is written to the right of a symbol of smaller value, the smaller value is added to the larger value.

(C) A symbol of smaller value is written to the right of a symbol of greater value, the smaller value is subtracted from the larger value.

(D) V is never written on the right of X.

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6 6th_{IMO - SET B}

19. Study the given ba r graph ca refully and answer the question that follows.

Find the difference in the highest and the lowest score.

(A) 80 (B) 64 (C) 32 (D) 72

20. Add 936 to the product of 343 and 76. Round off the answer to the nearest ten. (A) 27004 (B) 27010 (C) 28004 (D) 27000 21. The diff erence betwee n eight thou sands six hundr eds f ive o nes and

six thousands seventy seven ones is _______.

(A) 1880 (B) 2880 (C) 2528 (D) 1528

22. The sixth mult ipl e of a num ber is the quo tient of 378 a nd 9. What is t he number?

(A) 9 (B) 6 (C) 8 (D) 7

23. Four small square s of sid e 5 cm are cut from ea ch of the corners of a big square with side 20 cm. The perimeter of remaining gure is _______.

with side 20 cm. The perimeter of remaining gure is _______.

(A) 80 m (B) 8 m (C) 80 cm (D) 8 cm

24. Which sig n belon gs in the e mpty box?

29 × 0 7 × 10 × 0

(A) < (B) =

(29)

7 6th_{IMO - SET B}

25. The gure shows the weight of different groups of objects. What is the total weight 25. The gure shows the weight of different groups of objects. What is the total weight

of a ball, a teddy, and a gift box? of a ball, a teddy, and a gift box?

(A) 137 kg (B) 147 kg (C) 150 kg (D) 117 kg

SECTION III : EVERYDAY MATHEMATICS

26. At a grocery store, there were 350 cereal boxes on shelves. There were 10 different 26. At a grocery store, there were 350 cereal boxes on shelves. There were 10 different brands of cereals, and there were an equal number of boxes of each brand. What brands of cereals, and there were an equal number of boxes of each brand. What is the way of determining the number of cereal boxes of each brand on these shelves ?

(A) Subtract 10 from 350 (B) Add 10 and 350 (C) Multiply 350 by 10 (D) Divide 350 by 10

27. Neha's room has two chairs of 4 legs each, one table of 4 legs each and three 27. Neha's room has two chairs of 4 legs each, one table of 4 legs each and three

stools of 3 legs each. How many legs are there altogether of the furniture in her room ?

(A) 20 (B) 21 (C) 16 (D) 13

28. Javed has 21 comics. He got two more from his aunt, 12 more on his birthday and 28. Javed has 21 comics. He got two more from his aunt, 12 more on his birthday and

bought 3 more with his pocket money. How many comics does he have now?

(A) 38 (B) 40 (C) 36 (D) 28

29. Mohit went for a walk and returned home at 7:00 a.m. If it took him 1 hour and 30 minutes, at what time did he start to walk ?

30 minutes, at what time did he start to walk ?

(A) 8:30 a.m. (B) 4:30 a.m. (C) 5:30 a.m. (D) 6:30 a.m.

(30)

8 6th_{IMO - SET B}

30. Suma n uses 15 tomatoes to make ha lf a lit re of tomato sauce. How much sauce can she make from 45 tomatoes?

(A) One and a half litres (B) Two litres

(C) Three litres (D) Two and a half litres

31. There are 54 marbles and they are put into 6 bags, so that the number of marbles 31. There are 54 marbles and they are put into 6 bags, so that the number of marbles

in each bag is same. How many marbles would 2 bags contain?

(A) 9 marbles (B) 108 marbles (C) 18 marbles (D) 12 marbles

32. 1 kg of po ta to cost

`

25. If 3 kg of potatoes cost as much as 5 kg of carrots, how 25. If 3 kg of potatoes cost as much as 5 kg of carrots, how much will it cost to buy 12 kg each of potatoes and carrots?

(A) ` 400 (B) ` 180 (C) ` 480 (D) ` 300

33. Garima and Latika had an equal number of marbles. Garima gave 35 marbles to Latika. How many fewer marbles did Garima have than Latika now?

(A) 35 (B) 76 (C) 105 (D) 70

34. Ms. Megha needs 96 eggs for cake. In shop A, the cost of a carton of 12 eggs is 34. Ms. Megha needs 96 eggs for cake. In shop A, the cost of a carton of 12 eggs is

` 18 while in shop B, cost of 12 eggs is 18 while in shop B, cost of 12 eggs is ` 15. From which shop should she buy the eggs and how much will she save?

(A) Shop A and` 18 (B) Shop B and` 24 (C) Shop B and` 26 (D) Shop A and` 15

35. A toy soldier costs `_{28 more than a toy policeman. If the cost of the two toys is} `_{1290, how much does the toy policeman cost?}_{1290, how much does the toy policeman cost?}

(A) `₅₃₉ _(B)`₆₅₉ _(C)`₆₃₁ _(D)`₅₃₁ SPACE FOR ROUGH WORK

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7

7 th

th

Year 2013

Class 4

Set A

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2 7th_{IMO - Set A}

1. Which wo rd CA NNOT be mad e fro m the le tters of th e giv en wo rd?

EXPERIMENTAL

A. PARENT B. RELAX C. METER D. METHANE 2. Three of th e follo wing f our are alike in a certain way an d so fo rm a group. C hoose the

odd one out.

A. ACE B. DFH C. IKM D. NPS

3. Complete the number pattern given below.

11000 10000 10100

_?

9200

A. 9000 B. 9100 C. 10000 D. 11100

4. If in a cert ain cod e '97452' i s writ ten as 'PRIM E', '50 3' is w ritte n as 'M UG' an d '681 3' is written as 'TANG', then how will '304687' be written in the same code?

A. GUTIAR B. GUIATR C. GUITAR D. GUITRA 5. Select a gure from the options which forms th e correct mirror image

of Fig. (X), if the mirror is placed along MN.

A. B.

C. D.

Space for Rough Work

LOGICAL REASONING LOGICAL REASONING

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3 7th_{IMO - Set A}

6. Select a gur e from the options in which Fig. (X) is embedded as one of its part.

A. B.

C. D.

7. Riya sc ored m ore tha n Mohit . Yash sco red as much a s Tarun. An jali scor ed less than Priti. Mohit scored more than Yash. Priti scored less than Tarun. Who scored the highest?

A. Anjali B. Riya C. Yash D. Mohit

8. Look at the given gure. Wh ich point is to the South of Point Q? A. Point P

B. Point S C. Point F D. Point B

9. Which line is the line of symmetry of the given gure ? A. AB

B. CD C. EF D. GH

10. If the give n matrix foll ows a certai n rule row- wise or column-wise, then nd the missing number.

A. 112 8 4 12 10 15 1 74 ? 145 B. 82 C. 14 D. 31

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4 7th_{IMO - Set A}

11. The given gure is obtained by removing some small squares from a big rectangle. The length of one side of a small square is 2 cm. Find the perimeter of the gure.

A. 28 cm B. 42 cm C. 56 cm D. 160 cm

12. The smal lest num ber of squar es that mus t be shaded so th at the gure has a line of symmetry is _____.

A. 2 B. 3 C. 4 D. 5

DIRECTION (13-14) : The given graph shows the number of boys and girls enrolled in four tuition centres. Study it carefully and answer the following questions.

13. Which tuition centre has the highest enrollment of students?

A. P B. Q C. R D. S

14. What would be the total number of st udents at tuition centr e P, if another 46 students want to enrol in it?

A. 256 B. 296 C. 346 D. 356

MA

(35)

5 7th_{IMO - Set A}

Space for Rough Work 15. What fraction of the given gure is shaded?

A. 1/2 B. 3/7 C. 4/7 D. 5/7

16. How many t imes mu st 40 be add ed to itse lf to get 200 000?

A. 100000 B. 80000 C. 40000 D. 5000 17. What is t he miss ing numb er in the nu mber line ?

52134 52534 52934 53334 53734

?

A. 53049 B. 53490 C. 53094 D. 50934 18. Find th e sum of 4 08, 90 10 and 3 8413.

A. 43781 B. 47831 C. 48713 D. 48731

19. There are _______ symmetrical gures and _______ non-symmetrical gures.

A. 2, 4 B. 4, 2 C. 5, 1 D. 3, 3

20. Express 5

12 of a day in hours.

A. 2 hours B. 10 hours C. 12 hours D. 22 hours

EVERYDAY MATHEMATICS EVERYDAY MATHEMATICS

21. A box contains 86 compact discs. A fac tory shipped out 12 boxes of compact discs. Find the total number of compact discs shipped out.

(36)

6 7th_{IMO - Set A}

22. Mohit has 245 more marbles tha n Rohit. If Rohit has 1429 marbles , how many marbles do they have altogether?

A. 3116 B. 2874 C. 1345 D. 3103

23. 120 adul ts and 345 chi ldren we nt to a concert. If eac h person pai d `_{350, how much did}

they pay altogether?

A. `₁₆₂₇₅₀ _B. `₁₆₂₇₈₀ _C. `₁₀₆₂₇₈ _D. `₁₆₀₂₇₅

24. Mrs. Pr iya bake d a choco late ca ke. She ga ve 1

2 of it to her neighbour and ate 1 4 of it. What fraction of the cake is left with Mrs. Priya?

A. 1 2 B. 1 7 C. 1 4 D. 1 8

25. Garima had`_{42700 in the bank. She put in another} `_{250. How much more money must}

she put in, if she wants to have a sum of `_60000?

A. `₁₇₈₀₀ _B. `₁₇₀₅₀ _C. `₁₄₀₈₀ _D. `₁₀₄₈₀

26. Anuj' s weigh t is 64 kg an d his si ster is 1 1

4 times to his weight. What is the total weight of both of them?

A. 109 kg B. 102 kg C. 112 kg D. 144 kg

27. Latika started her part time job at 9:30 and nished at 17:45. Her tea break was 45 minutes long. How much time did she spend doing her job?

A. 7 hrs 45 mins B. 7 hrs 30 mins C. 8 hrs 15 mins D. 8 hrs 30 mins 28. There are 18 pupils in a queue. If the distance between two pupils is 80 cm, how long

is the queue?

A. 1063 cm B. 1036 cm C. 1630 cm D. 1360 cm 29. Raj scored a total of 267 marks for three subjects in the Mid-year Examination. He

obtained 80 marks for English and 94 marks for Science. How many marks did he score for Mathematics?

A. 80 B. 93 C. 89 D. 94

30. Mrs. Beena had 4 kg of our. She used 3 kg 60 g our to bake some cakes. How much our had she left?

A. 930 g B. 940 g C. 40 g D. 960 g

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7 7th_{IMO - Set A}

31. What is the number represented by ?

A. 6 28 40 30 30 48 20 B. 8 C. 10 D. 16

32. What is the weig ht of marble P?

A. 300 g B. 250 g C. 240 g D. 350 g

33. Find the sum of the shaded p arts below and expr ess the answ er as a mixed n umber.

+ + + ? = A. 31 2 B. 3 1 8 C. 2 3 4 D. 21 2

34. Which o f the follow ing sta temen ts is CORR ECT? A. 3965÷ 8 leaves a remainder of 5. B. 3

4 is greater than 1

5 but less than 13. C. Sum of 13

4 + 2 3

8 is 2 + 1 1

8. D. There are 86 hundreds in 86439. 35. Which of the following is the greates t 1-digit n umber that has 4 factors?

A. 6 B. 7 C. 8 D. 9

ACHIEVERS SECTION ACHIEVERS SECTION

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7

7 th

th

Year 2013

Class 4

Set B

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7th IMO - Set B

2 2

1. How many unit cubes are there in the given gure? A. 18

B. 19 C. 20 D. 17

2. Find the odd one out.

A. BCDE B. PQRS C. WXYZ D. STUW

3. Look at the given number-letter codes.

Number 5 1 3 0 2 4 7

Letter codes X L M D P B F

The code for 430521 is ______.

A. BDFMXP B. BMDXPL C. BMDXLP D. BMXPDL 4. Select the com binat ion of n umber s so th at let ters a rrange d acco rding ly form a mean ingful

word. P I G R S N P I G R S N 1 2 3 4 5 6 1 2 3 4 5 6 A. 1, 4, 5, 2, 3, 6 B. 5, 1, 4, 2, 3, 6 C. 5, 1, 4, 2, 6, 3 D. 5, 1, 2, 4, 3, 6 5. Find the m issing n umber, if a mat rix fo llows ce rtain tr end

row-wise or column-wise. A. 10 1 18 8 4 4 1111 1 16 6 118 8 1177 8 8 2 2 ?? B. 5 C. 6 D. 3

6. How ma ny 6's are there in the g iven s eries , each o f which is imm ediat ely fol lowed b y 3 but not preceded by 7?

12635986763485163456736534

A. None B. One C. Two D. Three

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3 3

7th IMO - Set B

7. Which of the fol lowing s hapes i s NOT emb edded in Fig. (X) ?

Fig. (X)

A. B. C. D.

8. Which of the following numbers is the wrong term in the given series? A. 15389 1 14433889 9 115533889 9 116644889 9 117755889 9 1188998899 B. 16489 C. 17589 D. 18989

9. There is a denite relationship between gures P and Q. Establish a similar relationship between gures R and S by selecting a suitable gure from the options that would replace the (?) in Fig. (S).

?

P Q R S

A. B. C. D.

10. If Mohi t is facin g north- east an d he makes an anti-clockwise 3

4-turn, where will he be

facing now? A. Post Ofce

Library

Bus Stop Bank

Park Swimming Pool Shopping Mall Post Ofce Petrol Pump B. Petrol Pump C. Park D. Shopping Mall

(41)

7th IMO - Set B

4 4

MA

MATHEMATHEMATICAL TICAL REASONIREASONINGNG

11. What is the sum of the rst and second common multiple of 4 and 6 ?

A. 36 B. 144 C. 72 D. 288

12. Rohit us ed a piece of wir e to form the giv en shap e. What was the length of wire that he had used?

A. 23 cm 8 cm 2 cm 2 cm 2 cm 7 cm B. 25 cm C. 32 cm D. 34 cm

13. Which of the following squares must be shaded so that the given gure is symmetrical?

A. P P Q

R S B. Q

C. R D. S

DIRECTION (14-15) : Study the given table carefully and answer the following questions. Number of books borrowed by each pupil 0 1 2 3 4

Number of pupils 98 136 184 95 28

14. What is the total number of books borrowed during the week? A. 443

B. 901 C. 541 D. 999

15. How many pupils borrowed more than 2 books? A. 307

B. 123 C. 418 D. 320

(42)

5 5

7th IMO - Set B

16. Select the INCOR RECT match . A. LVIII = 58

B. CII = 102 C. XCVIII = 108 D. LXII = 62

17. Sheela reached the library at 12 : 05. The bus ride t o the Library lasted 45 minu tes. At what time did she board the bus ?

A. 11 : 20 a.m. B. 12 : 50 a.m. C. 11 : 20 p.m. D. 12 : 50 p.m.

18. 43 thou sands l ess tha n 47374 3 is ____ _. A. 43000

B. 430743 C. 443074 D. 437430

19. Find the v alue of P – Q + R in the num ber line sh own below .

5 6 P Q R 7 8 A. 62 5 B. 7 3 5 C. 2 4 5 D. 7 2 5

20. There is a numb er between 80 and 90 . When the numbe r is divided by 7, it leaves a remainder of 5. What is the twice of that number among the given options?

A. 162 B. 166 C. 176 D. 178

(43)

7th IMO - Set B

6 6

21. There wer e 180 apples in a box. 15 of them were rot ten and the rest wer e packed into packets of 8. How many packets of apples were there in the end?

A. 20 B. 21 C. 22 D. 23

22. Sarah bought 6 boxes of mu ffins. The re were a dozen mu ffins in each box . Her friends ate some and there were 5 muffins left. How many muffins were eaten by her friends?

A. 18 B. 31 C. 67 D. 77

23. Harsh placed 14 c hairs in a row at equal dis tances. The dis tance betwe en the first and fourth chair was 6 m. What was the distance between the fourth chair and fourteenth chair?

A. 20 m B. 26 m C. 22 m D. 24 m

24. Akshat needs 7 2 ice-cream s for a party . For every 5 ice-crea ms he buys, he gets one free. How many ice-creams will he need to buy for?

A. 70 B. 55 C. 65 D. 60

25. In a ra ce, M ohit ran 1

5 km, jogged 1

10 km and walked 2

5 km. What was the total dist ance

he covered? A. 3 5 km B. 4 5 km C. 7 10 km D. 4 10 km

26. An aeropla ne took off at 1 0 : 20 p.m. It flew for 1 h our and 35 minu tes. At what t ime did the aeroplane arrive at its destination?

A. 11 : 55 p.m . B. 1 : 55 p.m. C. 11 : 55 a.m. D. 1 : 55 a.m. 27. Ajay buys a piggy bank. He has 52 one rupee coin s, 26 fifty pais e coins and 32

twenty-five paise coins. How much money does he have? A. `

74 B. ₇₃ ` _C. ₆₈ ` _D. `₈₀

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7 7

7th IMO - Set B

28. Of his collection of books, Sandeep ga ve 350 books to th e local library and 25 books to each of his 7 grandchildren. How many books did Sandeep had in his collection?

A. 530 B. 425 C. 525 D. 500

29. Shruti had 52 6 stamps in her co llection. If each p age in her album can h old 25 stamps , how many pages has she used if all the stamps are pasted in the album?

A. 20 B. 23 C. 21 D. 22

30. A school field measur es 42 m by 36 m. How far does Lat ika run if she runs 4 time s round the field?

A. 624 m B. 524 m C. 182 m D. 156 m

31. Find the pe rimeter of th e given figu re, if all t he sides ar e of length 3 tens – (10 ones + 4 ones) cm.

A. 110 cm B. 128 cm C. 138 cm D. 150 cm 32. 2 3 of 6 m is same as ______. A. 2 3 1 2 3 5 × m + × m B. 1 3 5 1 3 1 × m + × m C. 2 3 2 3 2 3 2 3 2 3 2 3 m m m m m m_{× × × × ×} D. 2 3 2 3 2 3 2 3 2 3 2 3 m m m m m m+ + + + +

(45)

7th IMO - Set B

8 8

33. A number that is less than 100 is a common multiple of 6 and 8. The sum of its digit is 9 but the difference between them is 5. What is the number?

A. 45 B. 72 C. 84 D. 94

34. Which of the following statements is INCORRECT? A. 8/12 lies between 1/12 and 3/4.

B. 5 ten thousands, 48 tens, 16 ones written in numerals is 50496. C. 56 × 36 is same as 50 × 36 + 6.

D. A square has 4 lines of symmetry.

35. Aarav started working in the m orning as shown on the clock. He stopped working after 93

4 hours. When did Aarav stopped working?

A. 4 : 55 p.m. B. 5 : 12 p.m. C. 4 : 58 p.m. D. 5 : 02 p.m.

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8

8 th

th

Year 2014

Class 4

Set A

(47)

8th

I SET - MO

A 1

1. Mohit was facing the library. He made a 3/4 turn anticlockwise. Where would he be facing?

A. Park School School Mohit Mohit Park

Park _Hospital_Hospital

House House O O f f   c c e e Ofce Ofce Post ofce Post ofce Police station Police station L i b r a r y Library Library B. Home C. Hospital D. Ofce

2. Given below is the folded form of paper. Which of the following is t he correct gur e when the paper is unfolded along the dotted line?

A. B. C. D.

3. Which of the following gures will continue the given gur e pattern?

___?__

A. B. C. D.

4. Find the missin g number, if a certain ru le is followe d in the given gure. A. 342 B. 339 25 24 26 27 318 325 332 ? C. 456 135D.

5. Find the m irror image of gure (X), if the mirr or is placed along the dotted line MN . M M Figure (X) Figure (X) N N A. B. C. D.

(48)

8th_{IMO - SET A}

2

Space for Rough Work 6. In a pl ay com petit ion, th ere are 5 na lists .

Priya : She has only one girl behind her. Beena : She is not the rst.

Garima : She is just after Latika. Megha : She is just before Priya.

_____ and ____ stood at rst and last positions respectively.

A. Garima, Latika B. Latika, Beena C. Garima, Megha D. Megha, Beena 7. Which of the following gures is symmetrical along the dotted line?

A. B. C. D.

8. Select a gur e in which shape (X) is exactly em bedded as one of its part.

(X)

A. B. C. D.

9. Varun, Tarun and Akash are standing i n a qu eue.

● Varun is standing at one of the ends.

● There are ve persons between Varun and Akash. ● Tarun is standing midway between Varun and Akash.

How many people are standing in a queue?

A. 5 B. 6 C. 7 D. 8

10. Some letters ar e given which are number ed 1, 2, 3, 4, 5 and 6 followed by four options containing combinations of these numbers. Find the combination of numbers so that letters arranged accordingly form a meaningful word.

A U I G R T 1 2 3 4 5 6

(49)

8th

I SET - MO

A 3

11. How many m ore sq uares must be sh aded so tha t

1

3 of the gure is shaded?

A. 1 B. 2 C. 3 D. 4

12. The difference between (eighty s ix thousand and forty) and (seven thousan d nine hundred and sixty four) is _______.

A. 80686 B. 78076 C. 67607 D. 70976 13. The common factors of 40 and 96 which are also multiples of 4 ar e ______.

A. 4, 8, 12, 16 B. 4, 8 C. 1, 4, 8 D. 1, 4, 40, 96 14. Find the values of X, Y and Z respectively in the given

multiplication problem. A. 2, 7, 9 2 2 3 3 88 × × X X 99 2 2 1 1 4 4 22 + + 44 Y Y 6 6 00 6 6 ZZ 0 0 22 B. 7, 3, 6 C. 2, 7, 8 D. 7, 4, 6

15. Find the perimeter of the given gure (not drawn to scale). 20 cm

24 cm 13 cm 16 cm 5 cm 8 cm A. 88 cm B. 93 cm C. 98 cm D. 103 cm

16. Which of the following gures has only two lines of symmetry?

A. B. C. D.

MATHEMATICAL REASONING MATHEMATICAL REASONING

(50)

8th_{IMO - SET A}

4

Space for Rough Work 17. Latik a is practi cing for a rac e. She use s the give n

map to nd the possible routes. The route must start from her school and end at home. She wants to run the shortest route. Which of the following is the best route?

A. School – Park – Bank – Home SchoolSchool

6 k m 2 km 2 km 2 km 2 km 3 km 3 km 3 km 3 km 1 km 1 km Home Home Park Park Library Library Bank Bank 5 5 k k m m 4 km 4 km Museum Museum L i b r a r y B Baannk k Lake Lake 4 4 k k m m 3 3 k k m m

B. School – Lake – Home

C. School – Library – Lake – Home D. School – Library – Museum – Home

18. The numb er shown in the aba cus is rea d as ______ ____.

H

HTThThT TThh TThh HH TT OO

A. Five hundred forty two thousand seven hundred and ninety six.

B. Five ten thousand forty two hundred thousand seven hundred ninety six. C. Five lakhs forty two thousand seven hundred ninety six.

D. Fifty four thousand two thousand seven hundred ninety six. 19. Which of the following statements is INCORRECT?

A. V, L, D can never be subtracted while writing roman numerals. B. Symbol I can be subtracted from V and X only once.

C. X cannot be subtracted from L. D. None of these

20. The weigh t of each of th e 6 identic al balls is _ ___.

5 0 0 g 5 0 0 g 5 0 0 g

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8th

I SET - MO

A 5

21. Shonali started play ing the piano at 14:45. She played for 45 minutes before starting her homework. If Shonali nished doing her homework at 5:30 pm, how long did she take to nish her homework?

A. 2 hours B. 2 hours 30 minutes

C. 3 hours D. 3 hours 30 minutes

22. There were 160 balls in a box. 50 of the balls were red. There were 5 more red balls than green balls. The rest of the balls were blue. How many blue balls were there?

A. 44 B. 52 C. 55 D. 65

23. There are 5 1

4 m red cloth in the shop and 2 2

3 m red cloth is sold. How much cloth

is left? A. 3 1 2m B. 28 9m C. 3 1 3m D. 2 7 12m

24. On Friday , 6759 people watched the football match. On Saturday , the attendance was 8513 and on Sunday, the attendance was 9876. How many people in all watched the match on three days?

A. 25184 B. 25148 C. 21548 D. 21584

25. Two candidates contested an election. 83,457 votes were polled in all. 49,682 votes were polled in favour of one candidate and 2,974 votes were found invalid. How many votes were polled in favour of the other candidate?

A. 30,711 B. 30,811 C. 30,801 D. 38,001 26. Each day 31 airplanes depart from an airport. If same number of planes depart on each

day, then how many planes depart in a year (365 days)?

A. 11315 B. 13115 C. 15131 D. 18132

27. The book stor e-kee per orders 25 boo ks of Mathem atics for `_{90 each and 32 books}

of Hindi for `80 each. How much does he have to pay in all?

A.4830 ` B. 8480 ` C. 4810 ` D. ` 5210

(52)

8th_{IMO - SET A}

6

28. Sneha has 4 m 30 cm of cloth. If she needs on ly 2 m 70 cm of cloth to m ake a dress, then how much cloth will remain after making the dress?

A. 2 m 60 cm B. 1 m 60 cm C. 1 m 30 cm D. 5 m 60 cm 29. A train leaves Delhi at 11:00 a.m. and reach es Ambala at 2:20 p.m. How long is the

journey?

A. 3 hrs 20 mins B. 4 hrs 40 mins C. 4 hrs 10 mins D. 4 hrs 20 mins 30. Neha spent her holidays of 6 weeks 2 days in Kerala, Jaipur and Goa altogether. She

stayed in Kerala for 1 week 3 days and in Jaipur for 2 weeks 6 days. How much time did she spend in Goa?

A. 2 weeks B. 14 days C. 1 week 5 days D. Both A and B

31. Sanch i thinks of two numbers.

The difference between the numbers is 8. •

The product of the numbers is 128. •

Both the numbers are even numbers. •

What is the sum of the value of numbers and value of smaller number?

A. 28, 4 B. 24, 8 C. 32, 8 D. 24, 16 32. The given table s hows the amount spent by Vansh and Veer in a month .

Items Vansh (in ` ) Veer (in` )

Food 2450 2560 Transport 1120 1160 Shopping ? ? Insurance 300 250 Miscellaneous 1450 1850 Total 6000 6200

Who spent more on shopping and by how much?

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8th

I SET - MO

A 7

33. Two rectangles and a square f orm the gi ven gure. The length of rectangle P is thrice that of square R.

Find the perimeter of the entire gure. A. 100 cm B. 25 cm R 1 5 c m P Q C. 50 cm D. 40 cm

34. 64 thousands 80 hundreds 75 tens – 17 thousands 9 2 hundreds 68 tens 19 ones = ____.

A. 45831 B. 45841 C. 45851 D. 45861 35. Read the given clues and nd out the answer.

As I was passing by,

I saw four men walking together having 2 kids. Each kid had two bags.

In each bag, there were four dogs. Every dog had four puppies.

How many eyes were there altogether?

A. 174 B. 108 C. 178 D. 184

(54)

8

8 th

th

Year 2014

Class 4

Set B

(55)

8th

I SET - MO

B 1

1. Select the correct mirror image of Fig. (X).

A. B. C. D.

2. How ma ny tri angles are there in the given gure? A. 11

B. 12 C. 10 D. 14

3. If Nisha is 2nd_{from the left end and Preeti is 3} rd_{from the right end, and 4 girls are}

standing between them, then number of girls in the row is ________.

A. 10 B. 11 C. 8 D. 9

4. Which of the following shows the correct gur e when the paper given below is unfolded along the dotted line?

A. B. C. D.

5. Latika is facing towards her home. How many turns she must move in the clockwise direction to face the school? A. 5/4

B. 3/8 C. 5/8 D. 3/4

(56)

8th_{IMO - SET B}

2

6. Which of the following gures has exactly four lines of symmetry?

A. Only (v) B. Both (ii) and (iv) C. Both (iii) and (iv) D. Only (ii)

7. There is a denite relationship between Fig. (i) and (ii). Establish a similar relationship between Fig. (iii) and (iv) by selecting a suitable gure from the o ptions which will replace the (?) in g. (iv).

A. B. C. D.

8. Study the given arrangement carefully .

Which ower is second to the right of sixth ower from the left end?

A. B. C. D.

9. Select the gur e from th e options which when placed in blank space of Fig. (X) would complete the pattern.

Fig. (X)

(57)

8th

I SET - MO

B 3

MA

MATHEMATICAL REASTHEMATICAL REASONINGONING

10. In which of the following options, Shape (X) is exactly embedded as one of its part?

Shape (X)

A. B. C. D.

11. What fraction of the gure is unshaded ? A. 3/8 B. 1/4 C. 1/2 D. 1/3 12. Weight of a pineapple is ______ g. A. 33 B. 22 C. 28 D. 9

13. Mohit went for swimming at 2:30 pm and returned back home 3 1

2 hours later. The time

he came back home is ______.

A. B. C. D.

14. The perimeter of the given gure (not drawn to scale) is 65 cm. Find the length of PY.

A. 3 cm B. 4 cm C. 5 cm D. 2 cm

(58)

8th_{IMO - SET B}

4

Space for Rough Work 15. Fill i n the c orrect s ign.

LXXVI + XLIII – XV LXXXVII – LIV + X

A. > B. <

C. = D. Can't be determined

16. 12 thousands + 12 hundreds + 12 tens + 12 = _________.

A. 12228 B. 12252 C. 13308 D. 13332

17. Which of the following numbers has the least number of factors?

A. 12 B. 15 C. 13 D. 20

18. In 46832, the place value of the digit '6' is how many times as much as the place value of the digit '3'?

A. 2 B. 20 C. 200 D. 2000

19. Which of the foll owing is NOT equal to 84 × 47?

A. 80 × 47 + 4 × 47 B. 84 × 40 × 7 C. 84 × 40 + 84 × 7 D. 82 × 47 + 2 × 47 20. The given table shows the number of chairs sold by 2 factories over a period of

4 months.

Months Factory P Factory Q

September 2545 1389 October 1864 1354 November 900 1268 December 1217 2513

How many more chairs did factory Q sell than factory P in December?

A. 1864 B. 1183 C. 1296 D. 1543

21. Sanchi ea rned ` 1500 in 5 days. She spent 3/10 of it and saved the rest. If she earns equal amount of money everyday, then how much did she save in a day?

A. `

(59)

8th

I SET - MO

B 5

22. Mr. Kapoor lled 3L 500mL petrol in his car on 1 st_{December, 2L 750 mL on 5}th_December

and 4L 250 mL on 9th_{December. How much petrol did he ll in his car in the rst week}

of December?

A. 6 L 250 mL B. 10 L 500 mL C. 1 L 500 mL D. 105000 mL 23. Last year, Mini celebrated her twelfth birthday . This year , her brother is twice as old as

Mini. How old will be her brother in three years time?

A. 26 years B. 27 years C. 29 years D. 32 years 24. Varun has some stickers. He can share them equally with 6 friends. He can also share

them equally with 8 friends. What is the fewest possible number of stickers he can have?

A. 12 B. 32 C. 24 D. 48

25. Rohan's school is 2 1

2 kilometres from his house. He cycles this distance daily. One day,

his cycle tyre got punctured after he had gone 11

4 kilometres. What was the distance

he had to walk? A. 13 4km B. 2 1 2km C. 3 3 4km D. 1 1 4km

26. Saurabh bought 56 kg 500 g of rice from one shop and 48 kg 750 g of rice from another. How much rice did he buy?

A. 105 kg 150 g B. 105 kg 250 g C. 250 kg 105 g D. 1052500 g 27. In a farm, ther e are 9 hens and some cows. If t here are 26 legs altogether , how many

cows are there?

A. 5 B. 6 C. 4 D. 2

28. If one notebook contains 260 pages, how many pages do 185 notebooks contain?

A. 4450 B. 4810 C. 48100 D. 5100

29. 4600 people were to be transported in 100 buses. How many people could 1 bus carry, if each bus carry equal number of people?

A. 46 B. 460 C. 4500 D. 200

(60)

8th_{IMO - SET B}

6

30. Gautam wakes up at 6:15 a.m., takes 45 minutes to get dressed, 12 minutes to eat breakfast and 20 minutes to reach school. At what time does he reach the school? A. 7:30 a.m. B. 7:32 a.m. C. 7:28 a.m. D. 7:35 a.m.

31. The given bar graph shows the favourite ice-cream avours of a group of children. _____ of the children prefer strawberry avour.

A. 1/4 B. 1/5 C. 1/6 D. 4/15

32. Alia is thinking of a fraction. The numerator is 4 more than the denominator . The numerator and the denominator have only three common factors 1, 2 and 4. The denominator is a number greater than 4 but smaller than 10. What is the fraction Alia is thinking of?

A. 4/8 B. 8/4 C. 12/8 D. 16/12

33. Find the value of

P Q R S − + .

)

1 19 38 72954 38 349 3 2 75 38 3 4 342 2 P Q R S − − − −

(

A. 3 B. 4 C. 6 D. 7

34. The movie tickets of 8 people cost `_{1000. What will be the cost of 24 tickets?}

(61)

8th

I SET - MO

B 7

35. The given gure (not drawn to scale) is made up of square PQRS and a rectangle LMNO. LR is thrice the length of LQ. LM = RO.

(a) Find the sum of PS and RO. (b) Find the length of LM.

(a) (b)

A. 12 cm 6 cm B. 16 cm 8 cm C. 12 cm 8 cm D. 14 cm 6 cm

(62)

9

9 th

th

Year 2015

Class 4

Set A

(63)

2 | 9th_{IMO | Class-4 | Set-A | Level 1}

1. Some letters are given which are numbered 1, 2, 3, 4, 5 and 6 followed by four option s containing combinations of these numbers. Find the combination of numbers so that letters are arranged accordingly to form a meaningful word.

N O L E D G 1 2 3 4 5 6

A. 6, 2, 3, 5, 4, 1 B. 5, 4, 1, 6, 2, 3 C. 3, 4, 1, 6, 5, 2 D. 1, 6, 5, 4, 3, 2 2. Selec t the odd one out.

A. B. C. D.

3. If ‘Chocolate’ means ‘Toffee’, ‘Toffee’ means ‘Cake’ and ‘Cake’ mean s ‘Butter’, then what is cut on birthday?

A. Cake B. Butter C. Toffee D. Chocolate 4. How ma ny pos sible combin ations of 1 co lor and 1 dress

is possible from the given colors and dresses? A. 12 B. 35 C. 21 D. 49 Dress Color Frock Blue Saree Red Suit Black White

5. Which of the following gur e is obtained when Figure (X) is folded along the dot ted line?

Figure (X)

A. B. C. D.

SPACE FOR ROUGH WORK

(64)

3 SPACE FOR ROUGH WORK

6. Find the mirror image of Figure (X), if the mirror is placed along MN. M

N Figure (X)

A. B. C. D.

7. In which of the following gures, Figure (X) is exac tly embedded as one of its part?

Figure (X)

A. B. C. D.

8. Study the adjoining diagram carefully . Mohit is facing towards Park. If Theatre and Hospital interchange their positions, and Mohit takes 1

4 turn anticlockwise,

then he will be facing towards ________. A. Park B. Theatre Library Police Station Mall Theatre Book Store MTG MTG Mall Mall Park Hospital Mohit Office C. Police Station D. Hospital

9. Find the m issing number , if a certain rule is followed in all the three gures.

15 6 12 12 8 13 10 ? 14 A. 8 B. 9 C. 12 D. 13

(65)

10. Read the information carefully.

● Manu is taller than Chinku. ● Tanu is taller than Chunnu. ● Chunnu is taller than Manu.

Who among the following is the tallest?

A. Manu B. Chinku C. Tanu D. Chunnu

MA

MATHEMATICAL REASTHEMATICAL REASONINGONING

11. Find P, Q, R and S respectively. A. 1, 6, 1, 4 B. 1, 4, 6, 1 C. 1, 4, 1, 6 D. 4, 1, 1, 6 44 6 4 2 S _ R 8 5 1 5 7 Q _ P 4 9

12. How many multiples of 10 are there from 20 to 150?

A. 13 B. 14 C. 15 D. 12

13. 94560 in words is written as _________.

A. Ninety-four hundred and fty-six B. Nine thousand, four hundred and fty six C. Nine thousand, ve hundred and sixty D. Ninety-four thousand, ve hundred and sixty 14. What fraction of the owers are red?

A. 9/20 B. 1/2 C. 1/4 D. 19/40

15. If + + + + = 125 and = + 4, then nd the value of

+ + + .

A. 25 B. 45 C. 50 D. 92

(66)

5

16. If the weigh t of each is same, then weight of is ______ g. A. 33 B. 22 C. 28 D. 9 0 25 20 10 5 g 15 0 25 20 10 5 g 15 17. The bar graph shows the savings of ve children.

Akansha needs to save another ______ so that she has twice as much money as Mohit. A. `₅₀ B. ` 150 C. `₁₀₀ D. ` 200 Kiran Jyoti Mohit Akansha Shalini 0 50 100 150 20 0 250 300 350 400 Amount (in )` 18. How long did Varun take to complete his homework?

A. 1 hr 45 mins Start doing homework Completed homework B. 1 hr 30 mins C. 1 hr 50 mins D. 1 hr 40 mins

19. The given gure is made up of three rectangles. Find the length of CD.

A. 10 cm B. 7 cm C. 8 cm D. 13 cm ? 4 cm 17 cm A B H F G E C D 5 cm

20. Figures (i) and (ii) shows two identical rectangles X and Y which are arranged differently. What is the difference between the perimeters of both the gures?

A. 2 cm B. 6 cm C. 4 cm D. 8 cm X X YY 10 cm 2 cm (i) X X YY (ii)

(67)

21. The ight from Chennai to Dubai took off at 4:45 hours. It landed at Dubai at 9:15 hours. How long was the ight?

A. 4 hrs 50 mins B. 3 hrs 55 mins C. 4 hrs 30 mins D. 4 hrs 10 mins 22. Mrs. Latika bought 2 L 500 mL of milk. She used 750 mL to make coffee and fed her cat

with 350 mL of milk. Find the quantity of milk that is left over.

A. 1 L 100 mL B. 2 L 50 mL C. 2 L D. 1 L 400 mL 23. The contents in Anaya’s school bag are given below.

Text books – 675 g, Notebooks – 415 g, Pencil box – 175 g. If the empty bag weighs 205 g, calculate how much does the school bag weigh with its contents?

A. 1 kg 520 g B. 1 kg 470 g C. 1 kg 220 g D. 2 kg 24. In a bag, there were 5600 red beads and 6540 white beads. Kavya sold 3680 beads.

How many beads were left in the bag?

A. 12140 B. 6240 C. 4620 D. 8460

25. Charu had 36 cookies. She gave 1

9 of the cookies to her brother . How many cookies had

she left with her?

A. 32 B. 28 C. 30 D. 16

26. Megha collected 324 seashells. She collected 78 more seashells than Beena. How many seashells did they both collected altogether?

A. 246 B. 570 C. 492 D. 726

27. The total number of children in a class is 40. 7 children were absent on Monday. What fraction of the class was present on Monday?

A. 7 40 B. 33 40 C. 40 7 D. 40 33 EVERYDAY MATHEMATICS EVERYDAY MATHEMATICS

(68)

7

28. To decorate a banquet hall, 354 electric bulbs were bought. If the cost of each bulb is

`28, what is the total cost of 354 electric bulbs?

A.9912 ` B. 7660 ` C. 4944 ` D. ` 9940

29. Garima travels 504 km to her ofce in a month. If she works for 28 days in the month, nd the distance she travels in one day.

A. 9 km B. 12 km C. 18 km D. 22 km

30. A music store sold 192 CDs every week. Find the number of CDs sold in 38 weeks.

A. 5376 B. 6144 C. 8064 D. 7296

SPACE FOR ROUGH WORK

31. Fill in the blanks.

A multiple of a number is __P____ small er than the number. A multiple o f an even n umber is __Q____ odd. 1 is the __R____ of every number.

P Q R

A. Sometimes Never Factor

B. Never Never Factor

C. Always Always Multiple

D. Never Always Multiple

32. The figure shows the amount of water in 3 beakers at rst. Karan poured 150 mL of water from beaker P to beaker Q. He then poured 200 mL of water from beaker Q to beaker R. Finally, he poured 100 mL of water from beaker R to beaker P. Which one of the following statements is true?

A. Beaker P contained more water than the other beakers at the end. B. Beaker Q contained more water than the other beakers at the end. C. Beaker R contained more water than the other beakers at the end. D. The three beakers contained the same amount of water at the end.

500 400 300 200 100 mL 500 400 300 200 100 mL 500 400 300 200 100 mL P Q R

Class 4 IMO (2011-2015)

INSTANT

INSTANT

CLASS

CLASS

4

5

Years

Solved Papers

(2011-2015)

e b

o o

k

CLASS 4

CLASS 4

Contents

Contents

CLASS 2

CLASS 2

CLASS 1

CLASS 1

MT

MTG

G WORKB

WORKB OOK

OOKS

S //

OLYMPIAD BOOKS

OLYMPIAD BOOKS

MT

MTG

G WORKB

WORKB OOKS

OOKS //

OLYMPIAD BOOKS

OLYMPIAD BOOKS

CLASS 3

CLASS 3

CLASS 3

CLASS 3

CLASS 4

CLASS 4

CLASS 6

CLASS 6

CLASS 5

CLASS 5

MT

MTG

G WORKB

WORKB OOK

OOKS

S //

OLYMPIAD BOOKS

OLYMPIAD BOOKS

5

5

th

th

Year 2011

Year 2011

Class 4

Class 4

SECTION I : LOGICAL REASONING

7 3 6

SECTION II : MATHEMATICAL REASONING

SECTION III : EVERYDAY MATHEMATICS

6

6

th

th

Year 2012

Year 2012

Class 4

Class 4

Set A

Set A

SECTION I : LOGICAL REASONING

SECTION II : MATHEMATICAL REASONING

SECTION III : EVERYDAY MATHEMATICS

6

_k

_?