Mathematics Olympiad Previous Year Paper - 1 | Mathematics Olympiad for Class 3 PDF Download

Note: The questions provided in this document are similar to the questions that were asked in the actual Olympiad exam. So, we recommend you study these for your Olympiad preparation. 

Logical Reasoning

Q1: Find the odd one out from the following:
6, 18, 36, 44, 54
(a) 6
(b) 18
(c) 36
(d) 44

View Answer  

Ans: (d)
44 is the odd one out as 44 does not come in the table of 6 whereas 6, 18 and 36 come in the table of 6.

Q2: In a certain language, PRINT is coded as OQHMS. How will you code LASER in that language?
(a) KZRDQ
(b) KZRDE
(c) GDJFK
(d) KSDHJ

View Answer  

Ans: (a)
Each new letter is just the preceding letter of original letter in the alphabetical series.
O comes before P.
Q comes before R.
H comes before I.
M comes before N.
S comes before T.
So, PRINT is OQHMS.
Going through the same pattern, in LASER:
K comes before L.
Z comes before A.
R comes before S.
D comes before E.
Q comes before R.
Hence, the answer is KZRDQ.

Q3: Which of the following is an alternative figure which contains figure (x) as its part.

(a) A
(b) B
(c) C
(d) D

View Answer  

Ans: (a)

Figure x completely embeds into figure A.

Q4: Which of the following is the sixth image from the last?

(a)

(b)

(c)

(d)

View Answer  

Ans: (b)

Hence, option (b) is correct.

Q5: Choose the one that shows the correct water image of figure 'X'.

(a) a
(b) b
(c) c
(d) d

View Answer  

Ans: (c)
The correct water image of figure 'X' is figure 'c'.

Q6: Rearrange the following letters to make a single word and then choose the category to which it belongs.
O J Y U S O
(a) Animal
(b) Fruit
(c) Utensil
(d) Feeling

View Answer  

Ans: (d)
O J Y U S O = J O Y O U S
Joyous is a feeling that means being happy.

Q7: Kiran is seated ahead of Sham & Ram but Ram is ahead of Sham. Sachin is seated in the last. Who is seated first among these four ?

(a) Kiran
(b) Ram
(c) Sham
(d) Sachin

View Answer  

Ans: (a)
Kiran before Sham & Ram.
Ram before Sham >> Kiran, Ram, Sham.
Sachin is in the last of all >> Kiran Ram Sham and Sachin.
Hence Kiran is first of the four.

Q8: Complete the following series:
4, 6, 8, _, _, 14, 16, _, 20
(a) 9, 10, 19
(b) 9, 11, 19
(c) 10, 12, 18
(d) 10, 11, 18

View Answer  

Ans: (c)
The series is adding 2 in each term. So, series will be:
4, 6, 8, 10, 12, 14, 16, 18, 20
So the missing numbers are 10, 12 and 18.

Q9: Ankit's birthday is 12 days before the last day of the last month of the year. When is Ankit's birthday?
(a) 19^th December
(b) 21^st December
(c) 20^th December
(d) 18^th December

View Answer  

Ans: (a)
Total number of days in the month of December = 31
Ankit's birthday = 31 – 12 = 19th December

Q10: In the row of numbers given below, which is the 8th number to the right of 2nd number from the left end :

Left 150, 460, 670, 240, 720, 810, 980, 330, 190, 850 Right

(a) 190
(b) 670
(c) 330
(d) 850

View Answer  

Ans: (d)

The 2^nd number from the left is 460. The 8^th number from the right of the 2^nd number is 850.

Mathematical Reasoning

View Answer  

Ans: (b)
Number of sweets in one box = 7
Number of sweets in 9 boxes = 9 × 7 = 63
Alternate Solution:

Q12: Write the numeral for 'three thousand four hundred and fifty seven'.
(a) 3457
(b) 3450
(c) 4357
(d) None of the above

View Answer  

Ans: (a)
Three thousand four hundred and fifty seven is 3000 + 400 + 50 + 7 = 3457.

Q13: What fraction of the figure is unshaded, if it is divided into parts?

(a) 5/12
(b) 7/12
(c) 12/5
(d) 12/7

View Answer  

Ans: (a)
Total parts = 12
Unshaded parts = 5
So, unshaded fraction =  5/12

Q14: Which of the following shapes has exactly 8 vertices?

(a)

(b)

(c)

(d)

View Answer  

Ans: (c)
A vertex (plural: vertices) is a point where two or more lines meet.
Hence, from among the given shapes, the cube has 8 vertices.

Q15: If 96 baskets of guavas weigh 4008 kilograms, what will be the weight of 48 baskets of guavas?
(a) 2004 kg
(b) 204 kg
(c) 2008 kg
(d) None of these

View Answer  

Ans: (a)
Weight of 96 baskets of guavas = 4008 kg
(As 48 is half of 96, so weight gets halved.)
Weight of 48 basket of guavas = 4008 ÷ 2 = 2004 kg

Q16: Red shade shows the chocolate pieces eaten by Rohit. What fraction has he eaten, if size of each piece is the same?

(a) 3/8
(b) 5/8
(c) 8/3
(d) 8/5

View Answer  

Ans: (a)
Total parts = 8
Eaten/Shaded parts = 3
Therefore, fraction of eaten part = 3/8

Q17: How would the given block model look from the top?

(a)
(b)
(c)

(d) None of the above

View Answer  

Ans: (c)
The given image would look as if three boxes are placed side to side.
Hence, option (c) is correct.

Q18: Find the odd one out from the following:

(a) 3
(b) 9
(c) 17
(d) 15

View Answer  

Ans: (c)
17 is the odd one out because this is the only number from among the given ones which is not a multiple of 3.

Q19: There are 21 students sitting in a classroom. If 15 more join them, then how many total students will be sitting in the classroom?
(a) 36
(b) 37
(c) 38
(d) 35

View Answer  

Ans: (a)
Number of students (in beginning) = 21
Number of students joined later = 15
New number of students in classroom = 21 + 15 = 36

Q20: A restaurant completes 9 servings in an hour. In how many hours will it complete 369 servings?
(a) 41 hours
(b) 40 hours
(c) 42 hours
(d) 43 hours

View Answer  

Ans: (a)
Time taken for 9 servings = 1 hour
Time taken for 369 servings = 369 ÷ 9 hours = 41 hours

Q21: Which of the following shapes has three vertices?
(a) Trapezium
(b) Triangle
(c) Pentagon
(d) Square

View Answer  

Ans: (b)
Vertex typically means a corner or a point where two lines meet. Hence, a triangle has three vertices as shown:

Q22: Which of the following is true?
(a) 7024 - 1824 = 5280
(b) 1084 - 108 = 0004
(c) 7058 - 1584 = 5474
(d) 1478 - 1259 = 2190

View Answer  

Ans: (c)
7024 - 1824 = 5200
1084 - 108 = 976
7058 - 1584 = 5474
1478 - 1259 = 219
Hence, only option c is correct.

Q23: Which of the following properties is shown in the calculation below:
12 + (5 + 4) = (12 + 5) + 4
(a) Commutative property of addition
(b) Associative property of addition
(c) Identity property of addition
(d) Repetitive property of addition

View Answer  

Ans: (b)
According to the associative property of addition, changing the grouping of addends does not change the sum.
For example,
12 + (5 + 4) = 21
Whereas
(12 + 5) + 4 = 21
Hence, option b is correct.

Q24: What will be the standard form of the following?
1 × 10,000 + 5 × 1,000 + 3 × 100 + 4 × 10 + 8 × 1
(a) 1,848
(b) 13,548
(c) 13,584
(d) 15,348

View Answer  

Ans: (d)
Using place value chart, we get
1 × 10,000 + 5 × 1,000 + 3 × 100 + 4 × 10 + 8 × 1 = 15,348

Q25: Last year, Danielle donated Rs. 724 to her favourite charity. This year, she donated another Rs. 744. How much money did Danielle donate in all?
(a) Rs. 1,448
(b) Rs. 1,468
(c) Rs. 1,488
(d) Rs. 1,648

View Answer  

Ans: (b)
Amount donated by Danielle = Rs. 724 and Rs. 744
Total amount donated = Rs. (724 + 744) = Rs. 1468
By using addition:
Rs. 724 + Rs. 744
= Rs. 1,468

Q26: Nupur baked 14 cupcakes. If she planned to serve this equally to her seven guests, which of the following figures shows each friend's share?
(a)
(b)
(c)
(d)

View Answer  

Ans: (b)
Number of cupcakes Nupur baked = 14
Number of guests = 7
Number of cupcakes each guest can have = 14 ÷ 7 = 2
Each guest will have 2 cupcakes.

Q27: Rahul is at a distance of 35 km and 150 m from his house. He travelled 22 km and 260 m by bus and the rest on an auto. Find the distance travelled by him on auto (in km).
(a) 12.11 km
(b) 12.89 km
(c) 13.11 km
(d) 14.51 km

View Answer  

Ans: (b)
1 km = 1,000 m
Total distance (meters only) = (35,000 + 150) m = 35,150 m
Distance covered by bus (meters only) = (22,000 + 260) m = 22,260 m
Distance covered by auto = (35,150 - 22,260) m = 12,890 m
12,890 m = 12.89 km

Q28: Paul and Ronn attended a meeting. The meeting ended at 03:00 p.m. The meeting was of 5 hours. At what time did they join the meeting?
(a) 10 a.m.
(b) 11 a.m.
(c) 12 p.m.
(d) 10 p.m.

View Answer  

Ans: (a)

5 hours before 3 p.m. would be 10 a.m.

Q29: Ajay bought 48 jigsaw puzzles. Each puzzle had 24 pieces. How many jigsaw puzzle pieces did Ajay get in all?
(a) 72
(b) 258
(c) 1125
(d) 1152

View Answer  

Ans: (d)
Number of pieces in each puzzle = 24
Number of puzzles = 48
Total number of pieces = 24 × 48 = 1152

Q30: Amit's mom wants to make a recipe for a dinner. She goes to the market and buys 9 apples, 2 bags of sugar, 3 bags of flour and 2 jars of honey. She gives 2 rupees to buy a polybag.
How much money (in total) does she spend in the market?

(a) Rs. 197
(b) Rs. 199
(c) Rs. 563
(d) Rs. 565

View Answer  

Ans: (d)

= Rs. 563

As she gave Rs. 2 for a polybag, so, total amount spent = Rs. 563 + Rs. 2 = Rs. 565

Achievers Section

View Answer  

Ans: (b)
Half of the ice-cream is 4475 g.
So, total quantity of ice-cream = 4475 × 2 g = 8950 g
As 1000 g = 1 kg
So, 8950 g = 8950 / 1000  kg = 8.95 kg
Hence, total quantity of ice-cream (in kilograms) = 8.95 kg

Q32: Rahul earns Rs. 25 per hour. If Rahul worked for 8 hours, which of the items can he buy with his earning such that he does not spend all of his money?
(a)
(b)
(c)
(d)

View Answer  

Ans: (a)
Earning for 1 hour = Rs. 25
Earning for 8 hour = Rs. 25 × 8 = Rs. 200
If he wants to save some amount, then he should go for toy helicopter of Rs. 150.

Q33: The following is the representation of a pictogram:

How many more carrots does Arjun have than Raghunath?
(a) 3
(b) 24
(c) 36
(d) 44

View Answer  

Ans: (c)
Number of carrots with Arjun = 5 × 12 = 60
Number of carrots with Raghunath = 2 × 12 = 24
Difference between the numbers of carrots = 60 – 24 = 36

Q34: From the number bond, find the value of (P + Q + R).
(a) 17
(b) 15
(c) 14
(d) None of these

View Answer  

Ans: (a)

So, P = 10, Q = 2 and R = 5

Hence, P + Q + R = 10 + 2 + 5 = 17

Q35: Directions: In the following question, a figure marked (A) is followed by four figures (a), (b), (c) and (d) which show the possible water-images of the figure (A). Choose one out of these four figures which shows the correct water-image of the figure (A).

(a) (a)
(b) (b)
(c) (c)
(d) (d)

View Answer  

Ans: (c)