Unicus Non-Routine Mathematics Olympiad (UNRMO) Class 3 Sample Paper

Sample Paper
(2020-21)

Class 3 & 4
Unicus Non-Routine Mathematics Olympiad

Section – Class* Total Marks per
Total Marks
*Syllabus covered Questions Question
Classic Section – Class 3 & 4 10 3 30

Scholar Section – Class 3 & 4 10 6 60

Grand Total 20 90
Note: There will be negative marking of 1/3rd of the marks allotted for that question if the answer is incorrect.

1. If Sunita wanted to number her house as the smallest 5-digit number which can be
formed by using the digits 2,4,5,1,0,9. What will be her house number if any one
number can be repeated twice?
a) 12341
b) 11234
c) 10024
d) 11024

Correct Answer: c 3 Marks

2. 504 can be expressed as a product of primes numbers as:
a) 2 x 2 x 2 x 3 x 3 x 7
b) 2 x 2 x 2 x 2 x 3 x 7
c) 2 x 2 x 3 x 3 x 3 x 7
d) 2 x 3 x 3 x 3 x 3 x 7

Correct Answer: a 3 Marks

3. The difference between the number of horizontal and vertical lines in the figure is?

a) 5
b) 3
c) 4
d) 0

Correct Answer: c 3 Marks

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4. 4 pies of equal sizes were cut as follows: pie 1 was cut into 12 pieces, pie 2 was cut
into 8 pieces, pie 3 was cut into 14 pieces while pie 4 was cut into 6 pieces. From which
pie should you eat so that you get the smallest piece?
a) Pie 1
b) Pie 2
c) Pie 3
d) Pie 4

Correct Answer: c 3 Marks

5. A small bottle of oil can hold 130ml of oil. How many oil bottles will be required to fill an
oil can of capacity 5l 200 ml?
a) 40
b) 38
c) 30
d) 42

Correct Answer: a 3 Marks

6. Pulkit is 10 years old and Hari is four years younger to Pulkit. How old will Pulkit be
when Hari is 25 years old?
a) 21
b) 15
c) 19
d) 29

Correct Answer: d 3 Marks

7. Aarav jogged 2 rounds around a square field. If the total distance covered was 1km
800m, find the distance of one side of the square field?
a) 200m
b) 450m
c) 600m
d) 225m

Correct Answer: d 3 Marks

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8. Rahul purchased 11 balloons to share with his classmates. If it cost him 1320p to buy
them, then the price of one balloon is?
a) Rs.12
b) Rs.1.2
c) Rs.11
d) Rs.1.1

Correct Answer: b 3 Marks

9. How many lines of symmetry is/are there in the given figure?

a) 1
b) 6
c) 3
d) 4

Correct Answer: c 3 Marks

10. The sum of 2009 and a 3-digit number is a square number. What will be the smallest
possible value of the 3-digit number?
a) 116
b) 107
c) 110
d) 114

Correct Answer: b 3 Marks

11. The simplest form of
1/5th of the product of 333 thousands and 33 hundreds is?
a) 336300
b) 7320
c) 67260
d) 36600

Correct Answer: c 6 Marks

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12. Shanaya bought a new Harry Potter book which had 234 pages. What is the total of all
the page numbers of her book?
a) 27495
b) 27261
c) 54990
d) 54522

Correct Answer: a 6 Marks

13. What is the maximum number of pieces a pizza can be cut into by using 3 straight cuts?
(note: the pieces need not be of equal sizes)
a) 5
b) 6
c) 7
d) 4

Correct Answer: c 6 Marks

14. Three friends shared a pizza. If Hari ate 5/12th of the pizza while Sara ate 1/3rd of the
remaining pizza, what fraction of the pizza did Ali eat?
a) 3/12
b) 6/12
c) 7/18
d) 10/18

Correct Answer: c 6 Marks

5

15. The street vendor sells 153.97 litres of milk on Monday and 16.03 litres more than this
quantity on Tuesday. The following day, 12.14 litres less milk was sold than the quantity
sold on Tuesday. How many litres was sold on Wednesday?
a) 1578.6 litres
b) 157.86 litres
c) 156.68 litres
d) 156.12 litres

Correct Answer: b 6 Marks

16. Savita’s vacations started on 30th November 2018 till the end of next month. If 8th
January 2019 was a Tuesday on which day did Savita’s vacation start?
a) Friday
b) Saturday
c) Sunday
d) Thursday

Correct Answer: a 6 Marks

17. The perimeters of two squares ae 24cm and 32cm. Find the perimeter of the third
square whose area is equal to the sum of areas of the two squares.
a) 40cm
b) 160cm
c) 224cm
d) 200cm

Correct Answer: a 6 Marks

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18. Radha got rs.500 on her birthday. She wanted to spend as much money as she could.
If she buys at least one of every item in the shop, how much money is left with her?

Rs. 15 Rs. 300 Rs.3

a) 182
b) 2
c) 128
d) 1

Correct Answer: b 6 Marks

19. Parul had 45_ _ sequences. If she can divide the sequences into groups of 2,3,4,5, and
9. Find the missing digits.
a) 4,0
b) 2,0
c) 0,0
d) 8,0

Correct Answer: c 6 Marks

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20. The diagram is divided into 3 smaller rectangles and a square. If the perimeter of the
unshaded rectangle is 42cm and the area of the square is 16𝑐𝑚2 , find the total area of
the shaded region.

a) 42𝑐𝑚2
b) 84𝑐𝑚2
c) 60𝑐𝑚2
d) 72𝑐𝑚2

Correct Answer: b 6 Marks

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