Mathematics Olympiad Model Test Paper - 3

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

(a) 35
(b) 48
(c) 40
(d) 60

Q2: Find the missing number in the given series.
212, 182, 152, 122, 92, ?
(a) 62
(b) 72
(c) 82
(d) 52

Q3: In the given figure, there are ______ possible combinations of 1 boy and 1 girl.

(a) 11
(b) 12
(c) 13
(d) 15

Q4: In how many ways can Gaurav reach his house?

(a) 8
(b) 9
(c) 12
(d) 15

Ans: (b)

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

Q6: If the code of 'MOUSE' is 'NPVTF', then what will be the code of 'PENCIL'?
(a) QEODJM
(b) QFODJN
(c) QFODJM
(d) QFOBJM

Q7: Find the odd one out from the following:
(A) Scissors
(B) Knife
(C) Key
(D) Paper
(a) (A)
(b) (B)
(c) (C)
(d) (D)

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

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) 9^th
(b) 10^th
(c) 11^th
(d) 12^th

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

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

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

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.

Q14: What will be the cost of 250 gm of strawberries?

(a) Rs. 25
(b) Rs. 30
(c) Rs. 60
(d) Rs. 40

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

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

Q17: Which place value will determine the larger number among the given two numbers?
8125, 8252
(a) Thousands
(b) Tens
(c) Hundreds
(d) Ones

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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