Class 4 Imo (2011-2015) 5kt2j

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1

ok INTERNATIONAL MATHEMATICS OLYMPIAD

CLASS

4

5

Years (2011-2015) Solved Papers

INSTANT

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CLASS 4

Contents ÂÂ 5th IMO 2011 ÂÂ 6th IMO 2012 - SET A ÂÂ 6th IMO 2012 - SET B ÂÂ 7th IMO 2013 - SET A ÂÂ 7th IMO 2013 - SET B ÂÂ 8th IMO 2014 - SET A ÂÂ 8th IMO 2014 - SET B ÂÂ 9th IMO 2015 - SET A ÂÂ 9th IMO 2015 - SET B

MTG WorkBooks / olympiad books CLASS 1

International English Olympiad

National Science Olympiad

International Mathematics Olympiad

Learning Science

Reasoning

Learning & Knowing

Learning Mathematics

Learning Computers

Anubhuti

CLASS 2

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

International English Olympiad

Learning Computers

Learning Science

Learning Mathematics

Learning & Knowing

Reasoning

Anubhuti

MTG WorkBooks / olympiad books CLASS 3

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

International English Olympiad

Learning Computers

Learning Science

Learning Mathematics

Learning & Knowing

Reasoning

Anubhuti

CLASS 4 CLASS 3

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

International English Olympiad

Reasoning

Learning Computers

Learning Science

Learning Mathematics

Learning & Knowing

Anubhuti

MTG WorkBooks / olympiad books CLASS 5

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

International English Olympiad

Reasoning

Learning Computers

Learning Science

Learning Mathematics

Learning & Knowing

Anubhuti

National Science Olympiad

National Cyber Olympiad

International English Olympiad

Reasoning

Learning Computers

Learning Mathematics

Learning & Knowing

CLASS 6

International Mathematics Olympiad

Class 4 5th

Year 2011

2

5th IMO - 2011

Section I : Logical Reasoning 1.

, (A) 72

× 2 = 18. Find the value of (B) 81

.

(C) 9

(D) 48

2. Four buses P , Q , R and S arrived at a bus terminal at four different timings. The given chart shows the arrival times of buses P, Q, R and S respectively. Which bus was the first to arrive at the bus terminal ? (A) P (B) Q (C) R (D) S

Bus P Q R S

Arrival time Quarter past 5 5 10 minutes to 5 Quarter to 5

3. The numbers given below follow a pattern.

39, 55, 71, 87, 103, ? If the pattern continues in the same way, which number should come next ? (A) 117 (B) 119 (C) 127 (D) 130

4. The given chart shows the number of markers on the desk of some students.

Which two students have number of markers that could be shared equally among three



students? (A) Harsh and Mohit (B) Mohit and Tanuj (C) Sanjay and Mohit (D) Sanjay and Tanuj

Markers on Desks Student Number of Markers Sanjay 12 Harsh 19 Mohit 13 Tanuj 9

5. A number line is shown below.

What is the missing number? (A) 580 (B) 640

(C) 720

SPACE FOR ROUGH WORK

(D) 760

5th IMO - 2011

3

6. Bittoo is using three cards shown below 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 (C) 367, 376, 637, 673, 736, 763 (D) 367, 376, 637, 673, 736, 763, 777, 333, 666

7 3 6

7. Given map is showing the distances 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 many people in the picture are without spectacles?

(A) 14



(B) 15



(C) 16



(D) 17 SPACE FOR ROUGH WORK

4 9.

5th IMO - 2011 Shapes

Preeti is selecting a bead for a necklace. Her choices of shapes and colours of bead are shown

Star

here. Which tree diagram shows all the possible

colours gold Silver Purple

combinations of 1 shape and 1 colour?

Heart

Orange White

(a)

(B)

(c)

(D) None of these

10. every class that visits Life Science Museum is divided into groups of 4 students for each tour guide. Which of the following classes would not be able to form groups of 4 students with none left over? (a) A class of 36 students (B) A class of 40 students (c) A class of 46 students (D) A class of 52 students

SectIOn II : MatHeMatIcaL ReaSOnIng 11. It is now 11:30 a.m. Where will the hour hand be pointing 1 hour later ? (a) Between 11 and 12 (B) Between 12 and 1 (c) At 12 (D) At 1 12. Which pair of lines resembles a railway track? (a)

13. each (a) 10 g (c) 60 g

(B)

(c)

stands for 10 g. Find the mass of three (B) 30 g (D) 120 g SPace FOR ROUgH WORK

(D) Both A and C

.

5th IMO - 2011

5

14. The given list shows the number of cars of each colour in a parking lot. • There are 18 red cars. • There are 16 blue cars. • There are 6 white cars. • There are 10 green 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 arrived at the bus stop 25 minutes before 5 : 10 p.m. What time did Veena arrive at 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 7 7 > > 10 9 8

(B)

7 7 7 > > 9 8 10

(C)

7 7 7 > > 8 9 10

(D)

7 7 7 > > 10 8 9

17. Which of the following figures correctly shows a line of symmetry? (A)

(B)

(C)

SPACE FOR ROUGH WORK

(D)

6

5th IMO - 2011

18. The given table shows the number of buttons that were made at a button factory each week for three weeks. Which of the following shows correct order of the week with the greatest number of buttons made to the week with the least number of buttons made? (A) Week 1, Week 3, Week 2 (C) Week 2, Week 1, Week 3

Buttons Made Week Number of Buttons Week 1 84,503 Week 2 80,968 Week 3 84,551

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

19. I am thinking of a number. If I add 85 to the number and then subtract 150 from the result, the answer is 130. What is the number I am thinking of ? (A) 20 (B) 105 (C) 195 (D) 365 20. What is the 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 70? (A) 7 (B) 10 (C) 21

(D) 8

22. Mohit placed points that represent the vertices of a figure on the grid. Which figure can be made by connecting these vertices alphabetically, starting 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 find how many pickles Anjali put on each sandwich? (A) 50 – 10 =



(B) 50 × 10 =



(C) 50 + 10 =

SPACE FOR ROUGH WORK



(D) 50 ÷ 10 =

5th IMO - 2011

7

24. Jamal's clues about his mystery number are shown in the box. What is Jamal's mystery number?

My number has 5 tens 8 thousands 2 ones 6 ten thousands 0 hundreds

• • • • •

(A) 58,260 (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 first day, Nihal rode 7 the second day ? (A) 19

1 kilometres 2

(B) 5

1 kilometres. How many kilometres did Nihal ride on 2

1 kilometres 2

(C) 4

1 kilometres 2

(D) 3

1 kilometres 2

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 SPACE FOR ROUGH WORK

(D) 68

8

5th IMO - 2011

29. The students at a school collected cans of food. The fourth-grade students collected 564 cans. The fifth-grade students collected 2 times of fourth-grade students. What was the total number of cans collected by these students? (B) 1,293 (C) 175 (D) 1,801 (A) 1,692 30. Mrs. Gupta is buying pencils for the students in her class. There are 23 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 spent ` 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? (B) 24 (A) 18

(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 ? (B) 4 (C) 6 (D) 12 (A) 2 35. There are 140 tricycles and 276 bicycles in a park. How many wheels are there in all ? (A) 416

(B) 832

(C) 972 SPACE FOR ROUGH WORK

(D) 1248

Class 4 6th

Set A Year 2012

2

6th IMO - SET A

Section I : Logical Reasoning 1.

Which of the given rectangle has the largest

P

perimeter? (A) P

Q

(B) Q

R S

(C) R (D) S 2.

0

(B)

(A) 13400, 14400

4

5

(C)

(D)

10200

P

(B) 12600, 14800

13000

Q

15800

(C) 10600, 15000

(D) 11600, 14400

(C)

(D)

Which house has the largest value ?

(A)

5.

3

Find the values of P and Q respectively. 8800

4.

2

Which one of the following has NO line of symmetry ? (A)

3.

1

5 thousands 7 hundreds 25 ones

(B)

7 thousands 72 tens 115 ones

50 tens 99 ones

12 friends met at a party. Each friend shook hands with each other exactly once. Number of handshakes took place is _____. (A) 66

(B) 50

(C) 45 SPACE FOR ROUGH WORK

(D) 40

3

6th IMO - SET A 6.

Riya is 17th from the front in a queue. She is 19th from the end. then how many students are there in the queue? (a) 35

7.

(B) 36

(c) 7

(D) 20

Removing which of the following square will result no change in the perimeter of the given figure?

8.

(a) Y

(B) P

(c) Z

(D) U

P

Q

R

S

t

U

V

W

X

Z

D

Y

if there are 6 cells around one cell, 8 cells around two cells in a row, then number of cells around a row of three 1

cells is _____.

9.

(a) 12

(B) 10

(c) 11

(D) 9

2

Rohan wants to move just one matchstick to make the equation correct. Which part will he take out ? (a) Q (B) R (c) P (D) S

P

Q

10. Find the missing number in Fig. (X). (a) 5 (B) 6 (c) 7 (D) 8 SPace FoR RoUgH WoRK

R

S 64 8 40 5 8 ? 4 32 Fig. (X)

56

4

6th IMO - SET A

section II : mathematical reasoning 11. Which of the following is equivalent to "five lakhs one hundred and nine"? (A)

50109

(B)

501009

(C)

500109

(D)

510090

12. The given bar graph shows the height of five children. What is the difference between 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 the perimeter of the hexagon (all sides are equal). 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 (A) 15

+

+

= 120 and (B) 110

×

= 100, then (C) 45

–

=

(D) 65

15. Which of the following shows all the factors 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 SPACE FOR ROUGH WORK

?

5

6th IMO - SET A 16. Find the value of Y to make the expression true. 8000 = 50 × 80 × (A) 2

Y

(C) 20

(B) 10

(D) 100

17. Arrange the boxes in order, beginning 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 (A) ` (B) ` (C) ` (D) `

cost ?

100 320 200 240

+ +

+

= ` 720

+

= ` 960

19. Which fraction of the given figure is unshaded? 3 2 (B) (A) 4 3 1 1 (D) (C) 3 4 20. Where will the minute hand point after 1 hour 45 minutes from the time shown on the clock ? (A) 9 (B) 1 (C) 6 (D) 12

11

12

1

10

8

SPACE FOR ROUGH WORK

2

3

9

4 7

6

5

6

6th IMO - SET A

21. Roman numeral equivalent to 89 is ______. (A) LXIL (B) IXC (C) XIC

(D) LXXXIX

22. What is the weight of each 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 (A) P

R

Q (B) Q

(C) R

S (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? (B) 51 (A) 220

(C) 65

(D) 54

25. Find the value of X. (A) 0 (B) 3 (C) 5 (D) 4

Section IIi : everyday mathematics 26. Jenny and Henry sold together 90 chocolates during a sales promotion. Henry sold twice as many chocolates than Jenny. How many chocolates did Jenny sell? (A) 30 (B) 60 (C) 46 (D) 23 SPACE FOR ROUGH WORK

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 fill up an empty tank, then what is the capacity of the tank? (B) 4290 mL (C) 3040 mL (D) 4190 mL (A) 3750 mL 28. Priya is practicing for a race. She uses the

2 km

given map to find the possible routes. The

2 km

2 km

the park. She wants to run exactly 7 km.

Club 1 km

1 km

Which of the following is the best route? (A) Home - Bank - Museum - Park (B) Home - Museum - Park (C) Home - Club - School - Lake - Park (D) Home - Bank - School - Lake - Park

m 3k

route must start from her home and end at

Home

School

1 km

1

km

Bank 2

2 km

km

1 km

Museum

Lake 2 km

Park

29. The length of a square field is 480 m. Vishal runs 5 rounds around the field. Find the total distance ran by Vishal. (A) 2400 m (B) 960 m

(C) 9600 m

(D) 4800 m

30. Looking at the ading figure, how many

Garima

ancestors did Garima had four generations ago? (A) 64 (B) 16 (C) 32

Father

Grand father

Grand mother

Mother

Grand father

Grand mother

(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

SPACE FOR ROUGH WORK

(D) ` 712

8

6th IMO - SET A

32. There are 200 people in a hall. They are divided equally into 7 groups of adults and 3 groups of children. If there are 2 adults in each group, then how many children are there in each group ? (B) 60 (A) 30

(C) 70

(D) 62

33. Three friends, Payal, Latika and Megha are at the corners of a rectangular field. At which point should they meet so that the distances they walk to that point is Payal E

4 km

P

D (A) Q

(B) P

3 km

minimized?

Q R Latika

F Megha (C) D

(D) R

34. Prerna bought 80 peaches. She found out that out of every 10 peaches, 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. In a grazing field there are 60 goats, 30 deers and 10 children. How many legs are there in the field ? (A) 200

(B) 360

(C) 380 SPACE FOR ROUGH WORK

(D) 400

Class 4 6th

Set B Year 2012

2

6th IMO - SET B

Section I : Logical Reasoning 1.

Which of the following parts must be shaded 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.

Which of the answer figure is the mirror image of fig. (X), if the mirror is placed along PQ?

(A)

3.

(B)

(C)

Study the ading diagram to answer the question given below.

Grape tree is south-east of _______. (A) Mango tree (B) Peach tree (C) Apple tree (D) Banana tree SPACE FOR ROUGH WORK

(D)

3

6th IMO - SET B 4.

Look the alphabet series below : 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 9th to the left of 3rd alphabet from right end? (A) P (B) O (C) N (D) M

5.

Find the next figure in the figure pattern below.

(A)

6.

(B)

(C)

(D)

Complete the pattern in the Fig. (X) by selecting a figure from the four options. (A)

(B)



(C) 7.

Which of the following parts is not embedded in the Fig. (X)?

(A) 8.

(D)

(B)

(C)

(D)

If in a month of 30 days, third Tuesday falls on 17th, what will be the last day of the month? (A) 5th Tuesday

(B) 4th Sunday

(C) 5th Monday

SPACE FOR ROUGH WORK

(D) 4th Wednesday

4 9.

6th IMO - SET B How many possible combinations of one day and one month are there with 5 days and 5 months? (A) 20

(B) 25

(C) 10

(D) 22

10. Find the value 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 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 value of expression P + Q ÷ 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 figures has fraction of shaded part more than fraction of unshaded part of the fig. (X)? (A)

(B)

(C) SPACE FOR ROUGH WORK

(D)

5

6th IMO - SET B 15. If

+

+

+

Find the value of (A) 4560

+

= 2780 and

+ + (B) 4650

+

+

+

+

+ = ? (C) 4950

= 1960. (D) 410

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

(A) 16

(B) 15

(C) 20

(D) 18

18. Which of the following statements is correct? (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. SPACE FOR ROUGH WORK

6

6th IMO - SET B

19. Study the given bar graph carefully 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 difference between eight thousands six hundreds five ones and six thousands seventy seven ones is _______. (A) 1880

(B) 2880

(C) 2528

(D) 1528

22. The sixth multiple of a number is the quotient of 378 and 9. What is the number? (A) 9

(B) 6

(C) 8

(D) 7

23. Four small squares of side 5 cm are cut from each of the corners of a big square with side 20 cm. The perimeter of remaining figure is _______. (A) 80 m

(B) 8 m

(C) 80 cm

(D) 8 cm

24. Which sign belongs in the empty box? (A) < (C) >

29 × 0

7 × 10 × 0 (B) = (D) Can't be determined

SPACE FOR ROUGH WORK

7

6th IMO - SET B

25. The figure shows the weight of different groups of objects. What is the total weight 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 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 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 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 ? (A) 8:30 a.m.

(B) 4:30 a.m.

(C) 5:30 a.m.

SPACE FOR ROUGH WORK

(D) 6:30 a.m.

8

6th IMO - SET B

30. Suman uses 15 tomatoes to make half a litre 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 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 potato cost ` 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? (B) ` 180 (C) ` 480 (D) ` 300 (A) ` 400 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? (B) 76 (C) 105 (D) 70 (A) 35 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 ` 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? (A) ` 539

(B) ` 659

(C) ` 631

SPACE FOR ROUGH WORK

(D) ` 531

Class 4 7th

Set A Year 2013

2

7th IMO - Set A

logical reasoning 1.

Which word CANNOT be made from the letters of the given word? EXPERIMENTAL A. PARENT

2.

B. DFH

A. 9000

C. IKM

D. NPS

10000

B. 9100

10100

?

C. 10000

9200

D. 11100

If in a certain code '97452' is written as 'PRIME', '503' is written as 'MUG' and '6813' is written as 'TANG', then how will '304687' be written in the same code? A. GUTIAR

5.

D. METHANE

Complete the number pattern given below.

11000

4.

C. METER

Three of the following four are alike in a certain way and so form a group. Choose the odd one out. A. ACE

3.

B. RELAX

B. GUIATR

C. GUITAR

D. GUITRA

Select a figure from the options which forms the correct mirror image of Fig. (X), if the mirror is placed along MN.

A.

B.

C.

D. Space for Rough Work

3

7th IMO - Set A

6.

7.

Select a figure from the options in which Fig. (X) is embedded as one of its part. A.

B.

C.

D.

Riya scored more than Mohit. Yash scored as much as Tarun. Anjali scored less than Priti. Mohit scored more than Yash. Priti scored less than Tarun. Who scored the highest? A. Anjali

8.

B. Riya

C. Yash

D. Mohit

Look at the given figure. Which 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 figure? A. B. C. D.

AB CD EF GH

10. If the given matrix follows a certain rule row-wise or column-wise, then find the missing number. A. B. C. D.

112 82 14 31 Space for Rough Work

8

4

12

10

15

1

74

?

145

4

7th IMO - Set A

MATHEMATICAL REASONING 11. The given figure 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 figure. A. 28 cm B. 42 cm C. 56 cm D. 160 cm 12. The smallest number of squares that must be shaded so that the figure 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 students at tuition centre P, if another 46 students want to enrol in it? A. 256 B. 296 C. 346 D. 356 Space for Rough Work

5

7th IMO - Set A

15. What fraction of the given figure is shaded? A. B. C. D.

1/2 3/7 4/7 5/7

16. How many times must 40 be added to itself to get 200000? A. 100000 B. 80000 C. 40000

D. 5000

17. What is the missing number in the number line?

52134

52534

52934

53334

53734

? A. 53049

B. 53490

18. Find the sum of 408, 9010 and 38413. A. 43781 B. 47831

C. 53094

D. 50934

C. 48713

D. 48731

19. There are _______ symmetrical figures and _______ non-symmetrical figures.

A. 2, 4

B. 4, 2

5 of a day in hours. 12 A. 2 hours B. 10 hours

C. 5, 1

D. 3, 3

C. 12 hours

D. 22 hours

20. Express

EVERYDAY MATHeMATICS 21. A box contains 86 compact discs. A factory shipped out 12 boxes of compact discs. Find the total number of compact discs shipped out. A. 1302 B. 1032 C. 1023 D. 1320 Space for Rough Work

6

7th IMO - Set A

22. Mohit has 245 more marbles than Rohit. If Rohit has 1429 marbles, how many marbles do they have altogether? B. 2874 C. 1345 D. 3103 A. 3116 23. 120 adults and 345 children went to a concert. If each person paid ` 350, how much did they pay altogether? A. ` 162750 B. ` 162780 C. ` 106278 D. ` 160275 1 1 of it to her neighbour and ate of it. 2 4 What fraction of the cake is left with Mrs. Priya?

24. Mrs. Priya baked a chocolate cake. She gave

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

1 26. Anuj's weight is 64 kg and his sister is 1 times to his weight. What is the total weight 4 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 finished 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 flour. She used 3 kg 60 g flour to bake some cakes. How much flour had she left? A. 930 g B. 940 g C. 40 g D. 960 g Space for Rough Work

7

7th IMO - Set A

Achievers section

31. What is the number represented by A. B. C. D.

28

?

40

6 8 10 16

30 30

48

20

32. What is the weight of marble P?

A. 300 g

B. 250 g

C. 240 g

D. 350 g

33. Find the sum of the shaded parts below and express the answer as a mixed number. +

A. 3

1 2

B. 3

+

1 8

+

C. 2

3 4

=

?

D. 2

1 2

34. Which of the following statements is correct? A. 3965 ÷ 8 leaves a remainder of 5. C. Sum of 1 

3 3 1 + 2  is 2 + 1  . 4 8 8

B.

1 3 is greater than but less than 1 . 5 4 3

D. There are 86 hundreds in 86439.

35. Which of the following is the greatest 1-digit number that has 4 factors? A. 6

B. 7

C. 8 Space for Rough Work

D. 9

Class 4 7th

Set B Year 2013

2

7th IMO - Set B

logical reasoning 1.

How many unit cubes are there in the given figure? A. B. C. D.

2.

3.

18 19 20 17

Find the odd one out. A. BCDE B. PQRS

C. WXYZ

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 4.

B. 5, 1, 4, 2, 3, 6

C. 5, 1, 4, 2, 6, 3

Find the missing number, if a matrix follows certain trend row-wise or column-wise. A. B. C. D.

6.

C. BMDXLP

D. BMXPDL

Select the combination of numbers so that letters arranged accordingly form a meaningful word. P I G R S N 1 2 3 4 5 6 A. 1, 4, 5, 2, 3, 6

5.

D. STUW

10 5 6 3

D. 5, 1, 2, 4, 3, 6

18

4

11

16

18

17

8

2

?

How many 6's are there in the given series, each of which is immediately followed by 3 but not preceded by 7? 1 2 6 3 5 9 8 6 7 6 3 4 8 5 1 6 3 4 5 6 7 3 6 5 3 4 A. None B. One C. Two D. Three Space for Rough Work

3

7th IMO - Set B

7.

Which of the following shapes is NOT embedded in Fig. (X)?

Fig. (X) A.

8.

B.

C.

D.

Which of the following numbers is the wrong term in the given series? A. 15389 B. 16489

14389

C. 17589 D. 18989 9.

15389

16489

17589

18989

There is a definite relationship between figures P and Q. Establish a similar relationship between figures R and S by selecting a suitable figure from the options that would replace the (?) in Fig. (S). ? P A.

Q

R

B.

S

C.

D.

10. If Mohit is facing north-east and he makes 3 -turn, where will he be an anti-clockwise 4 facing now? A. Post Office

Park

B. Petrol Pump

Library

Swimming Pool

Bus Stop

Bank

Post Office

C. Park

Shopping Mall

D. Shopping Mall Space for Rough Work

Petrol Pump

4

7th IMO - Set B

mathematical Reasoning 11. What is the sum of the first and second common multiple of 4 and 6 ? A. 36

B. 144

C. 72

D. 288 8 cm

12. Rohit used a piece of wire to form the given shape. What was the length of wire that he had used? A. B. C. D.

23 25 32 34

2 cm

2 cm 2 cm

cm cm cm cm

7 cm

13. Which of the following squares must be shaded so that the given figure is symmetrical? A. B. C. D.

P Q R S

P

Q

R

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. B. C. D.

443 901 541 999

15. How many pupils borrowed more than 2 books? A. B. C. D.

307 123 418 320 Space for Rough Work

5

7th IMO - Set B

16. Select the INCORRECT match. A. B. C. D.

LVIII = 58 CII = 102 XCVIII = 108 LXII = 62

17. Sheela reached the library at 12 : 05. The bus ride to the Library lasted 45 minutes. At what time did she board the bus ? A. B. C. D.

11 12 11 12

: : : :

20 50 20 50

a.m. a.m. p.m. p.m.

18. 43 thousands less than 473743 is _____. A. B. C. D.

43000 430743 443074 437430

19. Find the value of P – Q + R in the number line shown below. P 5 A. 6

2 5

R 6

B. 7

3 5

Q

7 C. 2

8 4 5

D. 7

2 5

20. There is a number between 80 and 90. When the number is divided by 7, it leaves a remainder of 5. What is the twice of that number among the given options ? A. B. C. D.

162 166 176 178 Space for Rough Work

6

7th IMO - Set B

Everyday mathematics 21. There were 180 apples in a box. 15 of them were rotten and the rest were 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 muffins. There were a dozen muffins 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 chairs in a row at equal distances. The distance between 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 72 ice-creams for a party. For every 5 ice-creams he buys, he gets one free. How many ice-creams will he need to buy for? A. 70

B. 55

C. 65

D. 60

1 1 2 km, jogged km and walked km. What was the total distance 25. In a race, Mohit ran 10 5 5 he covered? 7 4 4 3 km B. km C. km D. km A. 10 10 5 5 26. An aeroplane took off at 10 : 20 p.m. It flew for 1 hour and 35 minutes. At what time 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 coins, 26 fifty paise coins and 32 twenty-five paise coins. How much money does he have? A. ` 74

B. ` 73

C. ` 68 Space for Rough Work

D. ` 80

7

7th IMO - Set B

28. Of his collection of books, Sandeep gave 350 books to the 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 526 stamps in her collection. If each page in her album can hold 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 measures 42 m by 36 m. How far does Latika run if she runs 4 times round the field? A. 624 m

B. 524 m

C. 182 m

achievers section 31. Find the perimeter of the given figure, if all the sides are of length 3 tens – (10 ones + 4 ones) cm. A. 110 cm B. 128 cm C. 138 cm D. 150 cm 32.

2 of 6 m is same as ______. 3 2 2 × 1m + × 5 m 3 3 1 1 B. × 5 m + × 1m 3 3 2 2 2 2 2 2 m× m× m× m× m× m C. 3 3 3 3 3 3 2 2 2 2 2 2 D. m+ m+ m+ m+ m+ m 3 3 3 3 3 3

A.

Space for Rough Work

D. 156 m

8

7th IMO - Set B

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 morning as shown on the clock. He stopped 3 working after 9 hours. When did Aarav stopped working? 4 A. 4 : 55 p.m.

B. 5 : 12 p.m.



C. 4 : 58 p.m.



D. 5 : 02 p.m. Space for Rough Work

Class 4 8th

Set A Year 2014

8th IMO - Set A

1

logical reasoning 1.

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

School ffi

A. Park

C. Hospital

Mohit

Park

D. Office 2.

rar

y

Post office

Hospital Police station

Given below is the folded form of paper. Which of the following is the correct figure when the paper is unfolded along the dotted line?

A.

3.

Lib

ce

House

B. Home

Library

Office O

B.

C.

D.

Which of the following figures will continue the given figure pattern? ___ ?__ A.

4.

B.

C.

Find the missing number, if a certain rule is followed in the given figure. A. 342 C. 456

5.

D. 25 26

B. 339 D. 135

24

27

?

318 332 325

Find the mirror image of figure (X), if the mirror is placed along the dotted line MN. Figure (X)

M

N

A.

B.

C. Space for Rough Work

D.

2

6.

8th IMO - Set A

In a play competition, there are 5 finalists. Priya : She has only one girl behind her. Beena : She is not the first. Garima : She is just after Latika. Megha : She is just before Priya. _____ and ____ stood at first and last positions respectively. A. Garima, Latika

7.

C. Garima, Megha

D. Megha, Beena

Which of the following figures is symmetrical along the dotted line?

A.

8.

B. Latika, Beena

B.

C.

D.

Select a figure in which shape (X) is exactly embedded as one of its part.

(X) A. 9.

B.

C.

D.

Varun, Tarun and Akash are standing in a queue. ● Varun is standing at one of the ends. ● There are five 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 are given which are numbered 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 A. 4, 3, 5, 6, 1, 2

B. 4, 3, 2, 1, 5, 6

C. 4, 2, 3, 1, 6, 5

Space for Rough Work

D. 4, 2, 3, 6, 1, 5

8th IMO - Set A

3

mathematical Reasoning 11. How many more squares must be shaded so that

A. 1

B. 2

1 of the figure is shaded? 3

C. 3

D. 4

12. The difference between (eighty six thousand and forty) and (seven thousand 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 are ______. 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. B. C. D.

2, 7, 2, 7,

7, 3, 7, 4,

2 × 2 + 4 6

9 6 8 6

15. Find the perimeter of the given figure (not drawn to scale).

1 Y Z

5 cm

B. 93 cm

24 cm 16 cm

C. 98 cm D. 103 cm

8 cm

16. Which of the following figures has only two lines of symmetry? B.

C.

Space for Rough Work

8 9 2 0 2

20 cm

A. 88 cm

A.

3 X 4 6 0

D.

13 cm

4

8th IMO - Set A

17. Latika is practicing for a race. She uses the given map to find 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 B. School – Lake – Home C. School – Library – Lake – Home D. School – Library – Museum – Home

k

Park

Ban

2 km

Home

3 km

Bank Lake

4 km School

6k

m 1 km Museum

5 km

3k

m

4 km

Library

2 km Lib

rar

y

3 km

18. The number shown in the abacus is read as __________.

HTh TTh A. B. C. D.

Th

H

T

O

Five hundred forty two thousand seven hundred and ninety six. Five ten thousand forty two hundred thousand seven hundred ninety six. Five lakhs forty two thousand seven hundred ninety six. 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 weight of each of the 6 identical balls is ____. 500 g 500 g

A. 250 grams

B. 350 grams

500 g

C. 450 grams

Space for Rough Work

D. 500 grams

8th IMO - Set A

5

Everyday mathematics 21. Shonali started playing the piano at 14:45. She played for 45 minutes before starting her homework. If Shonali finished doing her homework at 5:30 pm, how long did she take to finish her homework? A. 2 hours C. 3 hours

B. 2 hours 30 minutes 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

23. There are 5

B. 52

C. 55

D. 65

1 2 m red cloth in the shop and 2 m red cloth is sold. How much cloth 4 3

is left? 1 A. 3 m 2

1 C. 3 m 3

8 B. 2 m 9

D. 2

7 m 12

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 store-keeper orders 25 books of Mathematics 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

Space for Rough Work

D. ` 5210

6

8th IMO - Set A

28. Sneha has 4 m 30 cm of cloth. If she needs only 2 m 70 cm of cloth to make 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 reaches 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

achievers section 31. Sanchi 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 shows 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? A. Veer, ` 300

B. Vansh, ` 380

C. Veer, ` 250

Space for Rough Work

D. Vansh, ` 300

8th IMO - Set A

7

33. Two rectangles and a square form the given figure. The length of rectangle P is thrice that of square R. Find the perimeter of the entire figure. 100 cm 25 cm 50 cm 40 cm

15 cm

A. B. C. D.

R

P Q

34. 64 thousands 80 hundreds 75 tens – 17 thousands 92 hundreds 68 tens 19 ones = ____. A. 45831

B. 45841

C. 45851

35. Read the given clues and find out the answer. As I was ing 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 Space for Rough Work

D. 45861

D. 184

Class 4 8th

Set B Year 2014

8th IMO - Set B

1

logical reasoning 1.

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

A. 2.

B.

C.

D.

How many triangles are there in the given figure? A. 11 B. 12 C. 10 D. 14

3.

If Nisha is 2nd from the left end and Preeti is 3rd from the right end, and 4 girls are standing between them, then number of girls in the row is ________. A. 10

4.

B. 11

C. 8

D. 9

Which of the following shows the correct figure when the paper given below is unfolded along the dotted line?

A. 5.

B.

C.

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 Space for Rough Work

D.

2

6.

8th IMO - Set B

Which of the following figures has exactly four lines of symmetry?

A. Only (v) 7.

C. Both (iii) and (iv) D. Only (ii)

There is a definite relationship between Fig. (i) and (ii). Establish a similar relationship between Fig. (iii) and (iv) by selecting a suitable figure from the options which will replace the (?) in fig. (iv).

A.

8.

B. Both (ii) and (iv)

B.

C.

D.

Study the given arrangement carefully.

Which flower is second to the right of sixth flower from the left end? A.

9.

B.

C.

D.

Select the figure from the options which when placed in blank space of Fig. (X) would complete the pattern.

Fig. (X) A.

B.

C. Space for Rough Work

D.

8th IMO - Set B

3

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

Shape (X) A.

B.

C.

D.

mathematical Reasoning 11. What fraction of the figure 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 he came back home is ______.

A.

B.

C.

14. The perimeter of the given figure (not drawn to scale) is 65 A. 3 B. 4 C. 5 D. 2

cm. Find the length of PY. cm cm cm cm Space for Rough Work

1 hours later. The time 2

D.

4

8th IMO - Set B

15. Fill in the correct sign. LXXVI + XLIII – XV

LXXXVII – LIV + X

A. > C. =

B. < D. Can't be determined

16. 12 thousands + 12 hundreds + 12 tens + 12 = _________. A. 12228

B. 12252

D. 13332

C. 13308

17. Which of the following numbers has the least number of factors? A. 12

B. 15

D. 20

C. 13

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 following 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

Everyday mathematics 21. Sanchi earned ` 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. ` 40

B. ` 210

C. ` 450 Space for Rough Work

D. ` 1050

8th IMO - Set B

5

22. Mr. Kapoor filled 3L 500mL petrol in his car on 1st December, 2L 750 mL on 5th December and 4L 250 mL on 9th December. How much petrol did he fill in his car in the first 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

1 kilometres from his house. He cycles this distance daily. One day, 2 1 his cycle tyre got punctured after he had gone 1 kilometres. What was the distance 4 he had to walk? 3 1 3 1 B. 2 km C. 3 km D. 1 km A. 1 km 4 2 4 4

25. Rohan's school is 2

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, there are 9 hens and some cows. If there 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 Space for Rough Work

D. 200

6

8th IMO - Set B

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.

achievers section 31. The given bar graph shows the favourite ice-cream flavours of a group of children. _____ of the children prefer strawberry flavour.

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 33. Find the value of

B. 8/4

C. 12/8

P −Q +R . S

D. 16/12 1P 19 38 72954 −38 349 −3 Q 2 75 − 38

)

A. 3 B. 4 C. 6

(

3R 4 − 342

D. 7

S2

34. The movie tickets of 8 people cost ` 1000. What will be the cost of 24 tickets? A. ` 300

B. ` 5000

C. ` 3000

Space for Rough Work

D. ` 4500

8th IMO - Set B

7

35. The given figure (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. B. C. D.

12 16 12 14

cm cm cm cm

6 8 8 6

cm cm cm cm Space for Rough Work

Class 4 9th

Set A Year 2015

logical Reasoning 1.

Some letters are given which are numbered 1, 2, 3, 4, 5 and 6 followed by four options 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

2.

D. 1, 6, 5, 4, 3, 2

B.

C.

D.

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

4.

C. 3, 4, 1, 6, 5, 2

Select the odd one out. A.

3.

B. 5, 4, 1, 6, 2, 3

B. Butter

C. Toffee

How many possible combinations of 1 color and 1 dress is possible from the given colors and dresses? A. 12 B. 35 C. 21

D. Chocolate Dress

Color

Frock

Blue

Saree

Red

Suit

Black White

D. 49 5.

Which of the following figure is obtained when Figure (X) is folded along the dotted line?

Figure (X) A.

B.

C.

D.

Space for Rough Work

2

| 9th IMO | Class-4 | Set-A | Level 1

6.

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

Figure (X) N

A.

7.

B.

C.

D.

In which of the following figures, Figure (X) is exactly embedded as one of its part?

Figure (X)

A.

8.

B.

C.

Study the ading diagram carefully.

D.

Police Station

Mohit is facing towards Park. If Theatre and Hospital interchange their positions, 1 and Mohit takes turn anticlockwise, 4 then he will be facing towards ________.

Library Hospital

Book Store

Mohit

Office

A. Park B. Theatre C. Police Station D. Hospital 9.

Theatre

MTG Mall

Park

Mall

Find the missing number, if a certain rule is followed in all the three figures. 15 6

A. 8

12 12

B. 9

8

10 13

?

C. 12

14

D. 13

Space for Rough Work

9th IMO | Class-4 | Set-A | Level 1 |

3

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

mathematical Reasoning 11. Find P, Q, R and S respectively.

P 4 44 6 2 5 _ 4S R85 _ 1 7 Q 9

A. 1, 6, 1, 4 B. 1, 4, 6, 1 C. 1, 4, 1, 6 D. 4, 1, 1, 6 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 fifty-six

B. Nine thousand, four hundred and fifty six

C. Nine thousand, five hundred and sixty

D. Ninety-four thousand, five hundred and sixty

14. What fraction of the flowers are red? A. 9/20 B. 1/2 C. 1/4 D. 19/40 15. If

+ +

A. 25

+ +

+ +

+

= 125 and

=

+ 4, then find the value of

. B. 45

C. 50

D. 92

Space for Rough Work

4

| 9th IMO | Class-4 | Set-A | Level 1

16. If the weight of each

is same, then weight of

is ______ g.

A. 33 B. 22

0 g

25

C. 28

20

D. 9 17. The bar graph shows the savings of five children. Akansha needs to save another ______ so that she has twice as much money as Mohit. A. ` 50 B. ` 150 C. ` 100 D. ` 200

15

5

25

10

20

0 g

15

5 10

Kiran Jyoti Mohit Akansha Shalini 0

50 100 150 200 250 300 350 400 Amount (in `)

18. How long did Varun take to complete his homework? A. 1 hr 45 mins B. 1 hr 30 mins C. 1 hr 50 mins

Start doing homework

D. 1 hr 40 mins 19. The given figure is made up of three rectangles.

A

Find the length of CD.

Completed homework

5 cm

B E

A. 10 cm B. 7 cm

C

C. 8 cm

F

D G

H

D. 13 cm

?

4 cm

17 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 figures? A. 2 cm B. 6 cm

2 cm

C. 4 cm

X

Y 10 cm (i)

D. 8 cm

X

Y

(ii)

Space for Rough Work

9th IMO | Class-4 | Set-A | Level 1 |

5

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

25. Charu had 36 cookies. She gave she left with her? A. 32

B. 28

C. 4620

D. 8460

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

Space for Rough Work

6

| 9th IMO | Class-4 | Set-A | Level 1

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 office in a month. If she works for 28 days in the month, find 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

achievers section 31. Fill in the blanks. A multiple of a number is __P ____ smaller than the number. A multiple of an even number is __Q ____ odd. 1 is the __R ____ of every number. Q

R

A. Sometimes

Never

Factor

B. Never

Never

Factor

C. Always

Always

Multiple

D. Never

Always

Multiple

P

32. The figure shows the amount of water in 3 beakers at first. 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?

500 mL

500 mL

500 mL

400

400

400

300

300

300

200

200

200

100

100

100

P

Q

R

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. Space for Rough Work

9th IMO | Class-4 | Set-A | Level 1 |

7

33. Find P, Q, R and S respectively. A. IX, XI, IV, II

B. II, III, VIII, IV

C. IV, VII, VIII, II

D. VIII, VII, IV, II

_

P 8 5 Q 3 R S 5 5

4 3 2

34. The figure is obtained by removing some small identical squares from a big rectangle. The length of each side of a small identical square in the obtained figure is 2 cm. Find the perimeter of the figure. A. 40 cm

B. 56 cm

C. 64 cm

D. 128 cm

2 cm 2 cm

35. The table shows the number of points scored by different teams at a sports meet. Which two teams had a total of 538 points? Team(s)

Yellow

Green

Red

Blue

Purple

Points

351

187

308

402

298

A. Yellow and Purple B. Red and Purple

C. Yellow and Green D. Red and Green

Space for Rough Work

8

| 9th IMO | Class-4 | Set-A | Level 1

Class 4 9th

Set B Year 2015

logical reasoning 1. Which of the following series is following the given rule? Rule : Number of letters skipped in between adjacent letters in the series decreases by one.

A. TOJEZUP

B. VOIDZWU

C. IGECAYW

D. NKHEBV

2. There is a definite relationship between figures (i) and (ii). Establish the same relationship between figures (iii) and (iv) by selecting a suitable figure from the options that would replace the (?) in fig. (iv). ? (i)

(ii)

B.



(iii)

(iv)

C.



D.



A.

3.

Which of the following will be the next term in the given number pattern ? A. 90 B. 65 C. 120 1 2 6 24 D. 29

?

4. In a certain code, '14567' is written as 'LXRZA' and '9823' is written as 'VPIC'. How will '94623' be written in the same code? A. VXZIA



B. VXIAZ

C. VXAIZ

D. VXZIC

5. Which of the following shows the correct mirror image of Fig. (X), if the mirror is placed along PQ? A.





C.













B.

D.

P



Fig. (X)

Q

Space for Rough Work

2

| 9th IMO | Class-4 | Set-B | Level 1

6. Find the option which will complete the given figure pattern.

?



A.



B.



C.



D.

7. In which of the following figures, Fig. (X) is exactly embedded as one of its part?

Fig. (X)

A.



B.



C.

8. Garima faces Mango tree, goes straight and takes a left turn to reach Orange tree. She again takes a left turn to reach Apple tree. In which direction is she facing now?

A. North



B. East



C. West



D. South



D.

Mango tree

Orange tree

Island Garima Apple tree

Papaya tree

Guava tree

9. Mohit’s birthday falls just after 3rd Monday of August 20XX. On which date does Mohit celebrate his birthday?

A. 23rd August



B. 22nd August



C. 15th August



D. 20th August

August 20XX Mon Tue Wed Thu Fri Sat Sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

Space for Rough Work

9th IMO | Class-4 | Set-B | Level 1 |

3

10. Select the correct match. Figure Number of lines of symmetry



Figure

Number of lines of symmetry



A.





2

B.





1



C.





1

D.





4

mathematical Reasoning 11. Which of the given figures has the least perimeter? A. Fig. P

5 cm 2 cm P 2 cm 5 cm



B. Fig. Q



C. Fig. R



D. Can’t be determined

4 cm 2 cm

2 cm 4 cm R 4 cm Q 2 cm 4 cm

12. Which of the following figures has 2 pairs of parallel lines and 2 pairs of perpendicular lines?

A.



B.



C.



D.

13. Which of the following figures represents 3 − 2 shaded fraction? 5 5

A.



B.



C.



D.

14. The number represented by the abacus is written in words as _______.

A. Twenty five thousand three hundred and forty seven



B. T wo ten thousands and five thousand three hundred and forty seven



C. Twenty five thousand three hundred and seven



D. None of these

TTh

Th

H

T

O

Space for Rough Work

4

| 9th IMO | Class-4 | Set-B | Level 1

15. Shailesh is celebrating Diwali with his friends. He knew that firecrackers can be burst only till 10 p.m. The time shown by the clock is the starting time when Shailesh starts bursting crackers in the night. For how much time can Shailesh and his friends enjoy bursting crackers?

A. 20 minutes





B. 45 minutes



C. 40 minutes





D. 56 minutes

16. There are ___________ even factors of 48.

A. 4

B. 5

C. 6

D. 8

17. Read the menu of a hotel and answer the question. Menu Item

Cost (in `)

Item

Cost (in `)

Soup

30.00

Chips

10.00

Juice

10.00

Coffee

3.00

Pizza

70.00

Tea

2.00

Cutlet

12.00

Water bottle

12.00



Rohan has given a party to two of his friends. He bought 2 packets of chips, 1 pizza and 2 juices. How much he has to pay ?



A. ` 150

B. ` 100

C. ` 110

D. ` 120

18. Difference between the place values of 4 and 5 in the number given below is _____. 409500

A. 1

B. 399500

C. 39500

D. 39590

19. This is a part of biscuit packet wrapper. Which of these informations can be found out from this?

A. The number of biscuits in this pack



B. The price of each biscuit



C. The total weight of biscuits



D. The weight of each biscuit

TIGER



Biscuits Net. wt. 100 g MRP: ` 7

Space for Rough Work

9th IMO | Class-4 | Set-B | Level 1 |

5

20. Find the symbol in the box. CX + XXXVI – XXIII

LX – XXXVIII + XI



A. >





B. <



C. =





D. Can’t be determined

Everyday mathematics 21. Shikha has 22 m of green ribbon and Priya has 7 m of yellow ribbon. Who has more 3 3 ribbon and by how much?

A. Shikha, 5 m

B. Priya, 5 m

C. Shikha, 7 m

D. Priya, 7 m

22. Samrat was given one week time to complete his geometry project. He realized that 3 days and 17 hours had already gone by. How much time is left for Samrat to complete his project?

A. 3 days 7 hours

B. 3 days 9 hours

C. 4 days

D. 3 days 6 hours

23. Varun undertook a pilgrimage on foot. He walked 3 km 550 m on the first day, 5 km on the second day and 2 km 675 m on the third day. Find the total distance he walked in the three days. A. 10 km 500 m



B. 10 km 225 m

C. 11 km 225 m

D. 11 km 500 m

24. Nimmi’s baby sister weighed 3 kg 250 g at birth. After a month she was found to be 4 kg 175 g. How much weight did she gain in a month? A. 820 g



B. 925 g

C. 1 kg 25 g

D. 1 kg 250 g

25. Vinay filled one-fourth of a glass with fruit juice and two-fourths with water. What part of the glass is filled?

A. 1/2

B. 2/3

C. 3/4

D. 1/5

26. A restaurant can accommodate 2500 guests. If there are 931 adults and 602 children in the restaurant, how many more guests can be accommodated in the restaurant?

A. 645

B. 792

C. 854

D. 967

27. Mr. Das earns ` 9,876 per month. What would be his annual income?

A. ` 1,23,052

B. ` 1,11,082

C. ` 1,18,512

D. ` 1,25,432

Space for Rough Work

6

| 9th IMO | Class-4 | Set-B | Level 1

28. Parking space in theatre P is for 79,407 cars, while the same in theatre Q is for 58,868 cars. How many more cars can be parked in theatre P than in theatre Q?

A. 38,275

B. 21,549

C. 21,461

D. 20,539

29. 990 cold drink bottles are to be placed in crates. Each crate can hold 18 bottles. How many crates would be needed?

A. 50

B. 55

C. 60

D. 65

30. A library has 35 shelves. Each shelf has 455 books. Find the number of books in the library.

A. 15925

B. 15625

C. 14825

D. 13965

achievers section 31. Pinku, Ravi, Brijesh and Raghu are friends. The graph shows the toy cars each of them have. What can we conclude from the given graph? Pinku A. Brijesh has one-third the number of toy cars Pinku has. Ravi Raghu B. Three children have more than 20 toy cars.

C. Ravi has twice as many toy cars as Brijesh.



D. Brijesh has 1 toy car less than Raghu.

Brijesh

10 20 30 Number of toy cars

40

32. Match the fractional number (P) on number line shown in Column-I with fraction in Column-II. Column-I Column-II (P) (a) p. 7 10 0 1 (P) 2 q. 10 (b) 0 1 (P) 3 r. (c) 10 0 1 (P) 5 s. (d) 10 0 1 A. (a)→p, (b)→q, (c)→r, (d)→s B. (a)→s, (b)→q, (c)→p, (d)→r

C. (a)→s, (b)→r, (c)→q, (d)→p

D. (a)→r, (b)→s, (c)→q, (d)→p Space for Rough Work

9th IMO | Class-4 | Set-B | Level 1 |

7

33. Which of the following statements is INCORRECT ?

A. 1 is a factor of every number.



B. Every multiple of a number is greater than or equal to the number.



C. The greatest factor of every number is the number itself.



D. Number of factors of any number are always one more than the number.

34. Rahul took 162 sweets to school on his birthday. He distributed all sweets to the 32 children in his class equally. How many sweets did each child get? How many sweets were left with him? A. 5, 2



B. 2, 8

C. 9, 5

D. 5, 7

35. Which of the following figures have same perimeter? 42 cm 18 cm

18 cm

(i)

2 cm

2 cm

(ii)

8 cm

8 cm 28 cm



A. (ii) and (iii)



22 cm 6 cm

4 cm

12 cm

14 cm

B. (i) and (iii)

(iii)

2 cm 16 cm



C. (i) and (ii)

16 cm



D. (i), (ii) and (iii)

Space for Rough Work

8

| 9th IMO | Class-4 | Set-B | Level 1

Answer Keys 5th IMO (2011) 1. (B) 11. (B) 21. (A) 31. (B)

2. (D) 12. (D) 22. (A) 32. (D)

3. (B) 13. (B) 23. (D) 33. (A)

4. (D) 14. (B) 24. (C) 34. (B)

5. (B) 15. (B) 25. (A) 35. (C)

6. (C) 16. (C) 26. (C)

7. (C) 17. (D) 27. (B)

8. (B) 18. (D) 28. (B)

9. (B) 19. (C) 29. (A)

10. (C) 20. (B) 30. (C)

7. (C) 17. (C) 27. (B)

8. (B) 18. (C) 28. (C)

9. (A) 19. (D) 29. (C)

10. (C) 20. (D) 30. (B)

7. (D) 17. (A) 27. (B)

8. (C) 18. (A) 28. (A)

9. (B) 19. (C) 29. (C)

10. (D) 20. (D) 30. (A)

7. (B) 17. (C) 27. (B)

8. (B) 18. (B) 28. (D)

9. (A) 19. (D) 29. (B)

10. (D) 20. (B) 30. (B)

7. (A) 17. (A) 27. (B)

8. (C) 18. (B) 28. (C)

9. (A) 19. (A) 29. (D)

10. (B) 20. (D) 30. (A)

7. (C) 17. (D) 27. (C)

8. (C) 18. (A) 28. (B)

9. (C) 19. (C) 29. (A)

10. (D) 20. (A) 30. (D)

7. (D) 17. (C) 27. (D)

8. (D) 18. (C) 28. (C)

9. (B) 19. (B) 29. (A)

10. (A) 20. (C) 30. (B)

7. (D) 17. (A) 27. (B)

8. (D) 18. (D) 28. (A)

9. (B) 19. (C) 29. (C)

10. (C) 20. (B) 30. (D)

7. (C) 17. (C) 27. (C)

8. (D) 18. (B) 28. (D)

9. (B) 19. (C) 29. (B)

10. ( B ) 20. ( A ) 30. ( A )

6th IMO (2012) SET A

1. (B) 11. (C) 21. (D) 31. (B)

2. (A) 12. (A) 22. (B) 32. (D)

3. (D) 13. (A) 23. (B) 33. (A)

4. (B) 14. (C) 24. (D) 34. (D)

5. (A) 15. (A) 25. (C) 35. (C)

6. (A) 16. (A) 26. (A)

1. (C) 11. (A) 21. (C) 31. (C)

2. (C) 12. (C) 22. (D) 32. (C)

3. (A) 13. (C) 23. (C) 33. (D)

4. (B) 14. (D) 24. (B) 34. (B)

5. (D) 15. (B) 25. (B) 35. (C)

6. (D) 16. (B) 26. (D)

SET B

7th IMO (2013) SET A 1. (D) 11. (C) 21. (B) 31. (B)

2. (D) 12. (A) 22. (D) 32. (B)

3. (B) 13. (D) 23. (A) 33. (A)

4. (C) 14. (B) 24. (C) 34. (A)

5. (B) 15. (D) 25. (B) 35. (C)

6. (B) 16. (D) 26. (D)

SET B 1. (B) 11. (A) 21. (B) 31. (B)

2. (D) 12. (D) 22. (C) 32. (A,D)

3. (B) 13. (A,C) 23. (A) 33. (B)

4. (C) 14. (B) 24. (D) 34. (C)

5. (B) 15. (B) 25. (C) 35. (B)

6. (C) 16. (C) 26. (A)

8th IMO (2014) SET A 1. (C) 11. (A) 21. (A) 31. (B)

2. (D) 12. (B) 22. (D) 32. (D)

3. (C) 13. (B) 23. (D) 33. (C)

4. (B) 14. (A) 24. (B) 34. (C)

5. (C) 15. (C) 25. (C) 35. (A)

6. (B) 16. (D) 26. (A)

SET B 1. (B) 11. (C) 21. (B) 31. (B)

2. (C) 12. (B) 22. (A) 32. (C)

3. (D) 13. (B) 23. (C) 33. (B)

4. (B) 14. (A) 24. (C) 34. (C)

5. (C) 15. (A) 25. (D) 35. (D)

6. (B) 16. (D) 26. (B)

9th IMO (2015) SET A

1. (A) 11. (A) 21. (C)

2. (A) 12. (B) 22. (D)

3. (C) 13. (D) 23. (B)

4. (A) 14. (D) 24. (D)

5. (A) 15. (D) 25. (A)

31. (A, B)

32. (C)

33. (D)

34. (A)

35. (C)

1. (B) 11. (B) 21. (A) 31. (C)

2. (C) 12. (D) 22. (A) 32. (C)

3. (C) 13. (C) 23. (C) 33. (D)

4. (D) 14. (A) 24. (B) 34. (A)

5. (A) 15. (C) 25. (C) 35. (C)

6. (A) 16. (B) 26. (B)

SET B

6. (A) 16. (D) 26. (D)