Unicus Non-Routine Mathematics Olympiad (UNRMO) Class 5 Sample Paper

Sample Paper
(2020-21)

Class 5 & 6
Unicus Non-Routine Mathematics Olympiad

Section – Class* Total Marks per
Total Marks
*Syllabus covered Questions Question
Classic Section – Class 5 & 6 10 3 30

Scholar Section – Class 5 & 6 10 6 60

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

1. It P = A X B and Q = C X D where 2A = 3B = 4C = 6D = 24 then P/(Q X 5) is
a) 2/5
b) 3/5
c) 4/5
d) 1/5

Correct Answer: c 3 Marks

2. The value of 0. 23 ̅̅̅̅ X 1000 =
̅
a) 23.(23)̅̅̅
b) 232.(32 ̅̅̅̅)
̅̅̅̅)
c) 2. (32
d) 232.32

Correct Answer: b 3 Marks

3. The sum of interior angle of the regular pentagon is
a) 640
b) 740
c) 540
d) 620

Correct Answer: c 3 Marks

4. In the given figure, what are the values of ∠b, ∠c and ∠a respectively

a) 18o, 70o, & 92o
b) 92o, 70o, & 18o
c) 70o, 92o, & 18o
d) 70o, 18o, & 92o

Correct Answer: c 3 Marks

2

5. What is the mean of x, x + 3, x + 6, x + 9 and x + 12?
a) x + 3
b) x + 6
c) x + 9
d) x + 12

Correct Answer: b 3 Marks

6. When a number is reduced by 4, it becomes 80% of itself. Find the number?
a) 20
b) 30
c) 40
d) 50

Correct Answer: a 3 Marks

7. In an examination 96% of the candidates passed and 50 failed. What is the number of
candidates who appeared for the examination?
a) 1520
b) 1250
c) 1530
d) 1350

Correct Answer: a 3 Marks

8. The length & breadth of a rectangular plot are l and b. Two rectangular paths each of
width 'w' run inside the plot one parallel to the breadth. What is the total area of the
paths?
a) (l + w) (b + w) - lb
b) lb - (l - w) (b - w)
c) (l + b - w) w.
d) lb - (l - 2w) (b - 2w)

Correct Answer: c 3 Marks

3

9. X packets of 6 sweets each are divided equally among 10 children. How many sweets
does each child get?
a) 6x
b) 6x – 10
c) 3x/5
d) 3x - 5

Correct Answer: d 3 Marks

10. How many KMs does a bicycle wheel of radius 30 cm cover in 70 revolutions?
a) 0.0132 KM
b) 1.32 KM
c) 13.2 KM
d) 0.132 KM

Correct Answer: d 3 Marks

11. (1/4 of 2 2/7) when multiplied by 6 3/10 X 2 1/7 X 35/9 gives x and if y = 5/6. then x/y is
_____.
a) 22 X 32
b) 23 X 32
c) 22 X 33
d) 2 X 34

Correct Answer: a 6 Marks

12. The number of pieces obtained when 1 3/4 meters can be cut from a roll of ribbon of
length 56 meters are 30 + x. then x = _____
a) 1
b) 2
c) 4
d) 6

Correct Answer: b 6 Marks

4

13. The area of parallelogram is 60m2 base is 12cm then the distance between the parallel
sides is _______.
a) 10
b) 3
c) 5
d) 12

Correct Answer: c 6 Marks

14. It 4L + 2B + 3H = 228 mts. Where L : B : H = 3 : 2 : 1, then the area of four walls
__________
a) 1480m2
b) 1440m2
c) 1460m2
d) 1420m2

Correct Answer: b 6 Marks

15. The number of seats for admission is increased by 10% every year. It the number of
seats in 2001 was 400. What was the number of seats in 2003?
a) 824
b) 484
c) 500
d) 480

Correct Answer: b 6 Marks

16. It (1 + x + x2)/(1 - x + x2) = 13(1 + x)/14(1 - x), then x = __________
a) 1/3
b) 3
c) 2/3
d) 3/2

Correct Answer: a 6 Marks

5

17. A = Pxa.yb : B = Qxc.yd where a = 2b = 3c = 4d = 12, P = 3Q = 12, then A ÷ B is
a) 3x8.y3
b) 3x3.y8
c) 3x2.y3
d) 3xy

Correct Answer: a 6 Marks

18. If (x + 1/x)2 - 2(x + 1/x) (x - 1/x) + (x - 1/x)2 is simplified as
a) 8/x2
b) 16/x2
c) 4/x2
d) 2/x2

Correct Answer: c 6 Marks

19. Sum of 10 observations is 250, If one observation, 25 is deleted, what is the new
mean?
a) 25
b) 20
c) 28
d) 22

Correct Answer: a 6 Marks

20. A car travels 120 KM from A to B at 30 KM/hr. but returns the same distance at 40
km/hr. The Average speed for the round trip is closest to
a) 33 KM/hr
b) 34 KM/hr
c) 36 KM/hr
d) 37 KM/hr

Correct Answer: b 6 Marks

6