Mathematics Olympiad Model Test Paper - 3 | 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: There are ____ groups of balloons with 5 balloons in each group.
(a) 7
(b) 8
(c) 9
(d) 11
View AnswerAns: (a)
There are 7 balloons in each group and total number of groups is 5.
So, total number of balloons is 7 x 5 = 35
Now, if in each group number of balloon is 5, then total number of such group = 35 ÷ 5 = 7
Q2: Find the missing number in the given series.
212, 182, 152, 122, 92, ?
(a) 62
(b) 72
(c) 82
(d) 52
View AnswerAns: (a)
212 - 30 = 182
182 - 30 = 152
152 - 30 = 122
122 - 30 = 92
92 - 30 = 62
So, the missing number is 62.
Q3: In the given figure, there are ______ possible combinations of 1 boy and 1 girl.
(a) 11
(b) 12
(c) 13
(d) 15
View AnswerAns: (b)
Possible number of combinations is 12, i.e.
(Rahul, Jasmin); (Rahul, Ritu); (Rahul, Nidhi); (Rahul, Manu);
(Suraj, Jasmin); (Suraj, Nidhi); (Suraj, Ritu); (Suraj, Manu);
(Sachin, Jasmin); (Sachin, Nidhi); (Sachin, Manu) and (Sachin, Ritu).
Therefore, there are 12 possible combinations.
Q4: In how many ways can Gaurav reach his house?
(a) 8
(b) 9
(c) 12
(d) 15
Ans: (b)
View Answer
Possible ways are ABCDEFGH, ABCDJIGH, ABCDGH, ACDEFGH, ACDGH, ACDJIGH, AKCDGH, AKCDJIGH, AKCDEFGH.
So, there are maximum 9 possible ways Gaurav can reach home.Q5: Four friends A, B, C and D are going to watch a movie. They are all sitting in one line besides each other. A is sitting first. B is not siting on second. C is sitting next to A and D is sitting at last.
On which position is B sitting?
(a) First
(b) Second
(c) Third
(d) Fourth
View AnswerAns: (c)
Sitting arrangement is:
A - C - B - D
From this arrangement it is clear that B is third from the left side of the line.
Q6: If the code of 'MOUSE' is 'NPVTF', then what will be the code of 'PENCIL'?
(a) QEODJM
(b) QFODJN
(c) QFODJM
(d) QFOBJM
View AnswerAns: (c)
Here the pattern is writing the next alphabet in the series.
For example:
Next alphabet to M is N.
Next alphabet to O is P.
Next alphabet to U is V.
Next alphabet to S is T.
Next alphabet to E is F.
Therefore, following the same pattern, the code for PENCIL is QFODJM.
Q7: Find the odd one out from the following:
(A) Scissors
(B) Knife
(C) Key
(D) Iron
(a) (A)
(b) (B)
(c) (C)
(d) (D)
View AnswerAns: (d)
Scissors, knife and key are all made of iron. So, the odd one out is iron.
Q8: If 'hammer' is called 'scissor', 'scissor' is called 'screw', 'screw' is called 'helmet' and 'helmet' is called 'hammer', then Ankit should wear a ________ while driving a scooter.
(a) scissors
(b) hammer
(c) helmet
(d) screw
View AnswerAns: (b)
While driving a scooter, a person wears a helmet. Since 'helmet' is called 'hammer' here, so the answer is 'hammer'.
Q9: In a row, 19 students are standing for morning prayer. If Amit is standing at 9th position from the left end, then what is his position from the right end?
(a) 9th
(b) 10th
(c) 11th
(d) 12th
View AnswerAns: (c)
The figure below represents students standing in a row for morning prayer.
From the above figure, it is clear that Amit is standing at 9th position from the left end. So, he is standing at 11th position from the right end of the row.
Q10: We have the following number series:
2, 13, 24, 35, ?
If the given number series were to continue further, then what would be the next number in the series?
(a) 45
(b) 46
(c) 47
(d) 48
View AnswerAns: (b)
The pattern followed in the series is:
2 + 11 = 13
13 + 11 = 24
24 + 11 = 35
35 + 11 = 46
Therefore, next number in series would be 46.
Mathematical Reasoning
Q11: Sudhir and Karan are at Dominos. Sudhir is very hungry and wants to eat 5/8of a pizza. How many parts should he eat?
(a) 4
(b) 5
(c) 6
(d) 7
View AnswerAns: (b)
There are total 8 parts of the pizza. To eat 5/8 of a pizza, he must eat 5 parts.
Q12: Which of the following shows CORRECT number of Mr. Gupta's car number?
Mr. Gupta's Car Number:
4 3 5 6
(a) Four thousand fifty six
(b) Four thousand three hundred and sixty five
(c) Three thousand five hundred and fifty six
(d) Four thousand three hundred and fifty six
View AnswerAns: (d)
Mr. Gupta's car number is four thousand three hundred and fifty six.
Q13: Which of the following statements is incorrect?
(a) Object D is heavier than object C.
(b) Object E is heavier than object F.
(c) Object C is lighter than object D.
(d) Object A is heavier than object B.
View AnswerAns; (d)
'Object A is heavier than object B' is an incorrect statement.
Object A is equal to object B in terms of weight.
Q14: What will be the cost of 250 gm of strawberries?
(a) Rs. 25
(b) Rs. 30
(c) Rs. 60
(d) Rs. 40
View AnswerAns: (b)
Cost of 1000 gm or 1 kg of strawberries = Rs. 120
Cost of 250 gm = 1/4 of Rs. 120 = 1/4 x 120 = Rs. 30
Therefore, the cost of 250 gm of strawberries = Rs. 30
Q15: Four students namely Sonu, Ravi, Riya and Mira have drawn four different shapes. They shaded their different parts. Which of the four students shaded their shapes as equivalent to each other?
(a) Sonu - Ravi and Riya - Mira
(b) Sonu - Riya and Ravi - Mira
(c) Sonu - Mira and Ravi - Riya
(d) Mira - Riya and Ravi - Sonu
View AnswerAns: (b)
Sonu shaded 4 parts out of 8, i.e. (1/2)
Riya shaded 2 parts out of 4, i.e. (1/2)
Ravi shaded 3 parts out of 4, i.e. (3/4)
Mira shaded 6 parts out of 8, i.e. (3/4)
Sonu - Riya and Ravi - Mira
Q16: The greatest four digit even number that can be formed using digits 4, 1, 2 and 9 without repeating the digits is:
(a) 9421
(b) 4912
(c) 1249
(d) 9412
View AnswerAns: (d)
To write the biggest number start from the largest number, then write second largest and so on.
But we need to write the even number. So, we will write 2 at the one's place.
9412 is the greatest four digit even number that can be formed using digits 4, 1, 2 and 9 without repeating the digits.
Q17: Which place value will determine the larger number among the given two numbers?
8125, 8252
(a) Thousands
(b) Tens
(c) Hundreds
(d) Ones
View AnswerAns: (c)
Hundreds will determine the larger number among the two given numbers.
So, 1 < 2 which means 8125 < 8252
Q18: Look at the images given below and answer the following question.
What is the weight of the carton?
(a) 1 kg
(b) 2 kg
(c) 3 kg
(d) 4 kg
View AnswerAns: (c)
In the given question,
Weight of 1 chocolate = 50 gm
Weight of 1 pack of chocolates = Weight of 3 chocolates = 3 x 50 = 150 gm
Weight of 1 box of chocolates = Weight of 4 packs = 4 x 150 = 600 gm
Weight of 1 carton of chocolates = Weight of 5 boxes = 5 x 600 = 3000 gm
And,
1000 gm = 1 kg
3000 gm = 3 kg
Hence, option C is correct.
Q19: Rahul wants to buy a gift for his father for Father's Day. He wants to give him a razor which costs Rs. 1600. He saves Rs. 64 every week. Find out for how many weeks will he have to save the money to buy the razor?
(a) 22
(b) 25
(c) 26
(d) 30
View AnswerAns: (b)
Money saved by Rahul in 1 week = Rs. 64
Cost of razor = Rs. 1600
Total number of weeks = 1600/64 = 25 weeks
Q20: Roy distributed Rs. 13,500 equally among his 5 friends. What is the amount that each of his friend will get?
(a) Rs. 2700
(b) Rs. 2500
(c) Rs. 2200
(d) Rs. 2750
View AnswerAns: (a)
Amount of money with Roy = Rs. 13,500
Number of friends among whom money has to be distributed equally = 5
Amount of money each friend gets = 13500 / 5 = Rs. 2700
Q21: Jerry had Rs. 150 but he bought a notebook, which cost him Rs 35. How much money was left with him?
(a) Rs. 150
(b) Rs. 115
(c) Rs. 70
(d) Rs. 40
View AnswerAns: (b)
He had Rs. 150
Cost of notebook = Rs. 35
Money left = 150 - 35 = Rs. 115
Q22: The given pictograph shows the number of teachers who went on a school trip in the following months. Study the pictograph and answer the question.
In which month only 4 teachers went on the trip?
(a) January
(b) March
(c) April
(d) May
View AnswerAns: (b)
One smiley represents 4 teachers.
Hence, in March only, 4 teachers went on trip.
Q23: Seema got some money for shopping. On asking, she said three statements about the money.
I : It is a 4 digit number but not the greatest.
II : It is a successor of the greatest 3 digit number.
III : It is having all same digits.
If only one statement is wrong, then what could be the answer?
(a) 9999
(b) 9997
(c) 1254
(d) 1000
View AnswerAns: (d)
From statement 2 it is clear that number is 1000, for this number statement 1 is also correct and Statement 3 is wrong.
So answer is 1000.
Q24: Anand bought three items shown in the figure.
What is the total cost of all the three items?
(a) Rs. 150
(b) Rs. 155
(c) Rs. 145
(d) Rs. 135
View AnswerAns: (b)
Cost of burger = Rs. 50
Cost of chocolate = Rs. 60
Cost of cold drink = Rs. 45
So, the total cost of the three items = Rs. (50 + 60 + 45) = Rs. 155
Q25: If 1 packet of pencils costs Rs. 50, then what would be the cost of 5 packets?
(a) Rs. 200
(b) Rs. 225
(c) Rs. 250
(d) Rs. 270
View AnswerAns: (c)
Cost of 1 packet = Rs. 50
Cost of 5 packets = 50 x 5 = Rs. 250
Q26: Raja decides to start cycling. He records his distance covered each day in a graph. The given graph shows the distance covered by Raja in a week. Study the graph and answer the question that follows.
How much more did he cycle on Friday than on Thursday?
(a) 2 km
(b) 5 km
(c) 8 km
(d) 10 km
View AnswerAns: (b)
On Friday he cycled for 35 km.
On Thursday he cycled for 30 km.
He cycled (35 - 30 = 5 km) more on Friday
Q27: Arshdeep has four number cards with him. What can be the biggest number he can make with the help of these cards? Choose the number name from the given options.
(a) Nine thousand six hundred and eighty-five
(b) Nine thousand eight hundred and sixty-five
(c) Nine thousand six hundred and fifty-eight
(d) Nine thousand eight hundred and fifty-six
View AnswerAns: (b)
With the help of the digits 5, 8, 6 and 9, the biggest number that can be formed is 9865, which can be written as: Nine thousand eight hundred and sixty-five.
Q28: Monika goes to shopping mall and she has Rs. 300 with her. Which of the following combination of items can she buy so that no money left with her?
A. A teddy and a book
B. A toy car and a book
C. A book and a toy aircraft
D. A teddy and a toy aircraft
(a) A
(b) B
(c) C
(d) D
View AnswerAns: (b)
Total money Monika had = Rs. 300
Cost of toy car = Rs. 250
Cost of book = Rs. 50
So, total money for the combination of a toy car and a book = 250 + 50 = Rs. 300
Therefore, the combination of a toy car and a book is the correct answer.
Q29: Mr. Verma bought some burgers for a party at home. The total cost of the burgers he bought is Rs. 800. How many burgers did he buy if each burger costs Rs. 80?
(a) 8
(b) 12
(c) 15
(d) 10
View AnswerAns: (d)
Cost of one burger = Rs. 80
Total cost of the burgers = Rs. 800
Therefore, number of burgers Mr. Verma bought = 800/80 = 10
Q30: The following pictograph shows the types of ice-creams served to students at a school party. Study the question and answer the question that follows.
How many more chocolates were served than Vanilla and strawberry together?
(a) 5
(b) 10
(c) 15
(d) 20
View AnswerAns: (a)
One ice cream of table represents 5 students.
Number of chocolate ice cream served = 6 x 5 = 30
Number of vanilla ice cream served = 3 x 5 = 15
Number of strawberry ice cream served = 2 x 5 = 10
Total number of vanilla ice creams and strawberry ice creams = 10 + 15 = 25
Required difference = 30 - 25 = 5
Achievers Section
Q31: A pizza is cut as given in the picture. The cost of the whole pizza is Rs. 80. Ayush eats 3 slices and Yami eats 2 slices. If Amit eats the rest of the slices, how much should he pay for his portion?
(a) Rs. 50
(b) Rs. 40
(c) Rs. 30
(d) Rs. 20
View AnswerAns: (c)
As there are 8 slices and the price of 8 slices is Rs. 80, cost of each slice = 80 ÷ 8 = Rs. 10
Ayush eats 3 slices and pays Rs. 30.
Yami eats 2 slices and pays Rs. 20.
Rest, 8 - (5) = 3 parts of the pizza are left.
So, 3 slices will cost him Rs. 30.
Q32: Match the following:
A. 300 + 30 + 5 ⇒ (1) 555
B. 500 + 50 + 5 ⇒ (2) 3490
C. 3000 + 400 + 90 ⇒ (3) 3870
D. 3000 + 800 + 70 ⇒ (4) 335
(a) A = 3, B = 1, C = 2, D = 4
(b) A = 4, B = 2, C = 1, D = 3
(c) A = 3, B = 2, C = 1, D = 4
(d) A = 4, B = 1, C = 2, D = 3
View AnswerAns: (d)
A = 4, B = 1, C = 2, D = 3 will be correct answer.
A. 300 + 30 + 5 ⇒ (4) 335
B. 500 + 50 + 5 ⇒ (1) 555
C. 3000 + 400 + 90 ⇒ (2) 3490
D. 3000 + 800 + 70 ⇒ (3) 3870
Q33: The pictograph shows the number of pens four children have. Study the graph and answer the following question:
How many pens does all the children have?
(a) 60
(b) 56
(c) 48
(d) 32
View AnswerAns: (b)
Since, each pen represents 4.
Number of pens Raghav has = 3 x 4 = 12
Number of pens Sanjay has = 5 x 4 = 20
Number of pens Riya has = 4 x 4 = 16
Number of pens Anu has = 2 x 4 = 8
Total number of pens all children have = 12 + 20 + 16 + 8 = 56
Q34: Ruby started walking from point A at 1:00 p.m. After 2 hours and 15 minutes, she reached point B. After 1 hour and 30 minutes, she reached point C. At 5:30 p.m, she reached point D. How long did she take to travel from point C to point D?
(a) 1 hour
(b) 1 hour and 15 minutes
(c) 45 minutes
(d) 30 minutes
View AnswerAns: (c)
Starting time for Ruby = 1:00 p.m.
Time taken by her to travel from point A to point B = 2 hours and 15 minutes
Time at which she reached point B = 3:15 p.m.
Time take by her to travel from point B to point C = 1 hour and 30 minutes
Time at which she reached point C = 4:45 p.m.
Time at which she reached point D = 5.30 p.m.
Therefore, time taken by her to travel from point C to point D = 4.45 p.m. - 5.30 p.m. = 45 minutes
Q35: What will be the cost of 26 bouquets of roses if the cost of 1 bouquet of roses is Rs. 47?
(a) Rs. 1222
(b) Rs. 1196
(c) Rs. 1152
(d) Rs. 1465
View AnswerAn s: (a)
Cost of 1 bouquet of roses = Rs. 47
Number of bouquets or roses = 26
Cost of 26 bouquets = Rs. (26 x 47) = Rs. 1222
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