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Rough Name _______________________ Roll No. __________

21th RAMANUJAN SOCIETY OF BORN MATHEMATICIANS (JR)

Inter School Mathematics Competition 2013

Class 5

Max. Time: 2 hrs Max. Marks: 100

1. Please write your name and roll number carefully and clearly, on
the question paper and answer sheet.

2. Read the questions carefully. Do the rough work on the last three
blank sheets.

3. Think before you mark/write the answer. Mark/write the answer

at the correct place and within the limited space provided using a
pencil.
4. There is no negative marking.

5. The question paper has: Part I – Q. 1 to Q. 50 - 1 to 20 pages

Part II- Q. 1 to Q. 10 - 1 to 3 pages

Part III- Q. 1 to Q. 6 - 4 to 6 pages

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PART – I Max Mark (1x50=50) Rough

1. For Question 1 to 50 decide the correct answer from the choices

given. Darken/shade your choice on the separate answer sheet

provided, with a pencil as shown below in the correct method.

2. Follow the Correct Method. There is only one correct answer for

each question. Answers having more than one/none circle

shaded will not be given marks.

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1. A printer can print 12 pages per minute. At those rates, how
Rough many seconds will the printer require to print 30 pages?

a) 2.5 sec c) 24 sec

b) 6 sec d) 150 sec

2. A piece of string is 25.2 cm long. It is 4 times as long as a

pole and twice as long as a piece of rope. What would be their
total length?

a) 18.9 cm c) 37.8 cm
b) 25.2 cm d) 44.1 cm

3. The given wooden block is made of nine identical pieces.

What is the volume of each piece?

a) 3 cu ft. c) 9 cu ft.
b) 6 cu ft. d) 54 cu ft.
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4. The population of tadpoles in a pond doubles every two days.
If there are 200 tadpoles in the pond six days ago, how many 48. Viraj’s watch is showing 14:15 and Varsha’s watch is
tadpoles will there be four days from now? showing 14: 53 when the actual time is 2:28 pm. What would
be the time on Viraj’s watch when the time on Varsha’s watch
will be 5 minutes to midnight?
a) 3200 c) 6400
b) 3300 d) 204800
a) 11:17 pm c) 11:55 pm
b) 11:30 pm d) 11: 42 pm
5. If has a remainder of 4, what is the smallest possible value
of a+b? 49. A shopkeeper bought 400 items. The price of each item was
` 298.75. He paid ` 100000 to the owner. How much more
a) c) 9 does he have to pay?
a) ` 1950 c) ` 19500
b) 6 b d) 22
b) ` 8805 d) ` 109500
6. Leena started doing her homework at 11.30 a.m. and finished
it by 1.10 p.m. on Sunday. If she took 20 min more to finish
her Science homework than her Math homework, how long
50. During the day the normal body temperature rises by about
did she take to finish her Science homework?
1° C. The temperature of the body is lowest in the morning
and the highest in the late afternoon. What would Arnav’s
temperature be in the late afternoon if it was 93.2° F in the
a) 10 min c) 40 min
morning?
b) 20 min d) 1 hr.
a) 34° C c) 36°
b) 35° C d) 36° C
7. What is the value of ʘ?

∆+∆+ʘ = 215
ʘ-∆ = 20

a) 65 c) 75
b) 70 d) 85
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45. Shalini began her diary by writing five pages the first day, 8. 15 of the water from a 30 l tub evaporated. How much
eight pages the second day, ten pages the third day, thirteen water is left in the tub?
pages the fourth day and so on. How many pages will she
write on the tenth day?
a) 0.5 l c) 25.5 l
a) 26 pages c) 30 pages b) 4.5 l d) 29.5 l
b) 28 pages d) 32 pages

9. A restaurant menu has five snacks, six main dishes and three
46. Beginning in town A, Bhaskar rides his bike 10 miles west, 3 sweet dishes. If an order of only one snack, one main dish and
miles north, 5 miles east, 9 miles north and then 5 miles east. one sweet dish can be placed for dinner then how many
How far apart are town A and town B? different orders are possible?

a) 12 miles c) 17 miles
b) 15 miles d) 32 miles a) 1 c) 30
b) 3 d) 90

47. What fraction of the figure is shaded?

10. Share ` 96.36 between 2 persons so that one gets five times
as much as the other. How much does each get?

a) ` 16.06, 80.30 c) ` 24.09, 52.27

b) ` 16.6, 79.76 d) ` 24.9, 52.46

a) c)
11. If 25 are less than 10 % of ‘a’, which of the following could
be the value of ‘a’?
b) d)
a) 25 c) 250
b) 125 d) 300
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12. What will be the value of ‘?’ 41. What number am I if I am a two digit, even, common
multiple of 6 and 7 having total 8 factors?

a) 35 c) 36
b) 42 d) 84

42. Girish the fence-maker needs to fence a rectangular field. He

fences in the entire field, except for one 40-feet side of it. The
field has an area of 280 square feet. How many feet of fence
does Girish use?

a) 11 ft. c) 240 ft.

b) 54 ft. d) 320 ft.

a) 6 c) 10
b) 9 d) 12 43. An oil can of 18 l is filled with 8 l of oil. More oil is poured
so that the can is full. How much more oil is poured in the
can?
13. Ishika can complete of her home-work in 15 hours.
What would be the time taken to complete her home-work?
a) 3 l c) 8 l

a) 1.2 hr. c) 23 hr. b) 7 l d) 15 l

b) 10.2 hr. d) 46 hr.

14. The points of a six pointed star consist of six triangles with 44. 1.82 cm long metal bar weighs 150 gm. What will be the
each side of 4 cm. What is the perimeter of the star? weight of a 9.1 cm long bar?

a) 24 cm c) 48 cm a) 0.013 gm. c) 0.75 kg

b) 36 cm d) 72 cm b) 30 gm. d) 3 kg
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15. What should 2.2 be divided by to get 0.2?
39. Which of the squares must be shaded so that the figure is
symmetrical? a) 0.11 c) 10.1
b) 1.11 d) 11.0

16. An engine pumps out 100 l of water in a minute. How much

time will it take to pump out 144000 l of water?

a) 2 hr. & 40 min c) A day

b) 14 hr. & 40 min d) 26 hr.

17. A school has seven periods in a day. The duration of each

period is hours. What is the total duration of the seven
periods?
a) A c) C
b) B d) D a) 5 hr.15 min c) 8 hr.45 min
b) 5 hr. 25 min d) 525 min

40. of 90 cars in a garage are black. If 22 white cars and 18

red cars are sold, what fraction of the remaining cars is black? 18. Sheela bought 30 lemons for ` 10 and another 30 lemons for
` 15. She mixed them and sold 5 lemons for ` 2. What is her
profit or loss Percent?
a) c)

a) 1 % loss b) 12 % loss
b) d)
c) 4 % loss d) 96 % loss
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19. The given figure shows the original orientation of a circle. If 13
the circle is rotated 1¼ times to the left, what will be its final
position? 36. What is the capacity of the

If =

= 2.5 lt.

a) 10 lt. c) 20 lt.
b) 15 lt. d) 30 lt.
a) A c) C
b) B d) D
37. A box containing 6 bottles of cooking oil weighed 17.2 kg.
20. How many multiples of 11 are there between 100 and 1000 When 2 bottles of oil were removed, it weighed 12.15 kg.
inclusive? What is the weight of the empty box?

a) 80 c) 82
b) 81 d) 901 a) 2.05 kg c) 5.05 kg
b) 2.525 kg d) 15.150 kg

21. A jar contains red marbles and blue marbles. The 38. LCM of two numbers is 504. Which cannot be the HCF?
remaining 25 marbles are white. How many marbles does the
jar contain?
a)10 c) 36
a) 75 c) 175 b) 18 d) 42
b) 150 d) 180
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32. Vansh is 14 years younger than Ansh. In 3 years, Ansh will 22. Jai and Chetan have 362 stamps altogether, if Chetan buys 22
be 3 times as old as Vansh. How old is Ansh now? more stamps, he will then have three times as many stamps as
Jai. How many stamps does Chetan have at first?
a) 7.5 yr. c) 21 yr.
b) 18 yr. d) 22 yr.
a) 74 c) 266
b) 96 d) 288

33. 40 percent of Amar’s living room floor is covered by a carpet

that is 4 feet by 9 feet. What is the area of his living room
floor? 23. Priya uses cup of olive oil instead of every cup of butter
in her pasta recipe. How many cups of olive oil will she use
a) 14.4 s. feet c) 90 sq feet instead of 1 cup of butter?
b) 60 sq feet d) 110 sq feet
a) c)
34. A pentagon has three sides with length x, and two sides with
length 3x. If x is of an inch, what is the perimeter of the
pentagon? b) d) 5

a) 6 inches c) 26 inches
b) 8 inches d) 54 inches
24. A box filled with nuts weighed 12 kg. When half of the nuts
were removed, the box weighed 7 kg. Calculate the weight of
35. How many one-fourths are there in of 12 ? the box when it is empty.

a) c) 7.5
a) 1 kg. c) 3 kg.

b) d) 30 b) 2 kg d) 4 kg
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25. If one-fourth of one- third of two fifths of a number is 15, 28. At a pet shop, there are four kittens, two turtles, eight
then how much is 40% of the number? puppies and six pigeons. If five parakeets are brought
new, what percentage of the store’s animals are kittens?
a) 0.2 c) 180
b) 20 d) 1125 a) 5% c) 20%
b) 16% d) 25%

26. Which statement is correct for the following figure?

29. Which of the following number would complete the series?
MMCLXX > MCCCXLV > _______ > DCLXV > DLVI

a) DCXCV c) LDCXV
b) b) DLCXV d) DCXXV

30. Which of the following is the product of an even prime

number and an odd prime number?

a) 4 c) 8
b) 6 d) 12
i. There are 9 angles in the figure.
ii. There are 3 pairs of parallel lines.
iii. There are 6 right angles. 31. How many zeroes come after 1 in 10 million?
iv. There are 10 pairs of perpendicular lines.
a) 5 c) 7
b) 6 d) 8
a) i c) iii
b) ii d) iv

27. 0.00018 × 600,000 = ? × 100

a) 0. 108 c) 10.8
b) 1.08 d) 108