Mathematics Olympiad Model Test Paper - 2 | 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: If the second day after tomorrow will be Sunday, then what was the day before yesterday?(a) Monday
(b) Tuesday
(c) Wednesday
(d) Thursday
View AnswerAns: (b)
Monday
Tuesday ________ Day before yesterday
Wednesday ________ Yesterday
Thursday ________ Today
Friday ________ Tomorrow
Saturday ________ 1st day after tomorrow
Sunday ________ 2nd day after tomorrow
So, day before yesterday will be 'Tuesday'.
Q2: Which of the following words cannot be formed from the letters of the given word?
EVALUATOR
(a) VALET
(b) VALUE
(c) LATER
(d) INVOLVE
View AnswerAns: (d)
'INVOLVE' cannot be formed from the letters of 'EVALUATOR' because the given word does not include letters 'I' and 'N'.
Q3: Find the missing number in the given series.
205, 190, 175, _____, 145
(a) 150
(b) 155
(c) 165
(d) 160
View AnswerAns: (d)
The following pattern can be seen in the given series:
205 - 15 = 190
190 - 15 = 175
175 - 15 = 160
160 - 15 = 145
So, the missing number is 160.
Q4: Select a figure from the answer figures which will complete the pattern given in figure (N).
(a) (a)
(b) (b)
(c) (c)
(d) (d)
View AnswerAns: (b)
It is clear from the above figure that figure (b), which is highlighted by red, completes the pattern of given figure (N).
Q5: In the figure, there are ____ possible combinations of a man and a woman.
(a) 7
(b) 10
(c) 12
(d) 14
View AnswerAns: (c)
Possible combinations are:
(Ram, Billo); (Ram, Lalli); (Ram, Jiti);
(Titu, Billo); (Titu, Lalli); (Titu, Jiti);
(Tallu, Billo); (Tallu, Lalli ); (Tallu, Jiti);
(Romi, Billo); (Romi, Lalli); (Romi, Jiti);
Therefore, option C is the answer.
Q6: Which of the following shapes is missing in the given figure?
(a) Square
(b) Circle
(c) Triangle
(d) Rectangle
View AnswerAns: (b)
Therefore, it is clear that circle is missing in the given figure.
Q7: Four students ran in a school playground. Preet is not third and Reet is not second. Jeet stood immediately before Reet. Meet stood last. Who stood at the first position?
(a) Jeet
(b) Preet
(c) Meet
(d) Reet
View AnswerAns: (b)
Order from first to last is:
Preet, Jeet , Reet, Meet
So, Preet stood at the first position.
Q8: Find the odd one out.
(a) (A)
(b) (B)
(c) (C)
(d) (D)
View AnswerAns: (a)
(A) is odd because it has 5 sides (which is odd number). Rest all shapes have even number of sides.
Q9: Find the odd one out.
(a) Jug
(b) Bucket
(c) Tub
(d) Tap
View AnswerAns: (d)
Water comes out from tap. Rest all others are used to store water.
Q10: If 'Sun' is called 'Moon', 'Moon' is called 'Star', 'Star' is called 'Tube light' and 'Tube light' is called 'Candle', then which of the following needs electricity to run?
(a) Bulb
(b) Candle
(c) Moon
(d) Star
View AnswerAns: (b)
As per the question, 'Tube light' is called 'Candle' and 'Tube light' runs on electricity. So, the answer is 'Candle'.
Mathematical Reasoning
Q11: If in a class, the number of rows of benches is the same as the number of columns of benches, then what can be the total number of benches in the class?(a) 6 x 6
(b) 3 x 6
(c) 2 x 5
(d) 5 x 4
View AnswerAns: (a)
Since the number of rows and the number of columns are equal, the best suitable option is 6 x 6.
Number of rows = 6
Number of columns = 6
Q12: Study the following pictograph and answer the following question.
Who has the maximum number of things?
(a) Rosy
(b) Khushi
(c) Eva
(d) Jasmine
View AnswerAns: (a)
Number clips with Eva = 3
Each clip = 5
Total number of clips with = 3 x 5 = 15
Number of dresses with Khushi = 4
Each dress = 2
Total number of dresses = 2 x 4 = 8
Number of nail paints with Rosy = 5
Each nail paint = 4
Total number of nail paints = 4 x 5 = 20
Number of eye glasses with Jasmine = 4
Each eye glass = 1
Total number of eye glasses = 4 x 1 = 4
Therefore, Rosy has the maximum number of things which is 20.
Q13: Which of the following thermometers shows the temperature of 68oC?
(a) (a)
(b) (b)
(c) (c)
(d) (d)
View AnswerAns: (d)
In the given picture, number of divisions between 0°C and 10°C = 5
Therefore, 1 division = 2°C
Now,
Thermometer (a) shows: 10 + 4 divisions = 10 + 2 x 4 = 18°C
Thermometer (b) shows: 60 + 2 divisions = 60 + 2 x 2 = 64°C
Thermometer (c) shows: 0 + 3 division = 3 x 2 = 6°C
Thermometer (d) shows: 60 + 4 divisions = 60 + 2 x 4 = 68°C
Therefore, thermometer (d) shows the temperature of 68°C.
Q14: If today is Tuesday, then the day before yesterday was ____________.
(a) Thursday
(b) Monday
(c) Sunday
(d) Wednesday
View AnswerAns: (c)
If today is Tuesday, then the daybefore yesterday was Sunday.
Q15: Which of the following readings is closest to the reading shown in the figure below, given that all the readings are in ml?
(a) 20 ml
(b) 40 ml
(c) 50 ml
(d) 60 ml
View AnswerAns: (c)
In the given figure, there is one division between 20 and 40; this means the middle of the two is 30 ml.
Now, the water level is showing above 40 ml and below 60 ml, and close to the middle value, that is 50 ml.
This means the closest reading of water level is 50 ml.
Q16: Find the weight of one apple.
(a) 1.3 kg
(b) 1.4 kg
(c) 1.5 kg
(d) 1.6 kg
View AnswerAns: (c)
Weight of 1 watermelon = 6 kg
Weight of 3 watermelons = 6 x 3 = 18 kg
Now, 12 apples weigh the same as 3 watermelons.
Therefore, weight of 12 apples = 18 kg
Weight of 1 apple = 18 kg ÷ 12 apples = 1.5 kg
Q17: There are 56 people standing in a queue. If the people are evenly divided among 8 groups, then how many people are standing in each group?
(a) 5
(b) 6
(c) 7
(d) 8
View AnswerAns: (c)
Divide the number of people by the number of groups.
56 ÷ 8 = 7
There are 7 people standing in each group.
Q18: Shalini went for shopping to a shopping mall. She reached the mall at 10:00 A.M. While there, she visited two clothing stores, a departmental store, and a toy store. Shalini left the mall at 2:00 P.M. For how long was she at the mall?
(a) 4 hours
(b) 5 hours
(c) 6 hours
(d) 7 hours
View AnswerAns: (a)
Reaches the mall - 10:00 A.M.
Leaves the mall - 2:00 P.M.
Time spent there = 10:00 A.M. to 2:00 P.M. = 4 hours.
Q19: Ram was supposed to pack a box of chocolates. The chocolates were placed at regular intervals of 5 cm. If the distance between the first and last chocolates was 150 cm, then how many chocolates were there in the box?
(a) 31
(b) 20
(c) 40
(d) 50
View AnswerAns: (a)
Distance between two adjacent chocolates = 5 cm
Distance between first and last chocolates = 150 cm
So, number of chocolates = 150 ÷ 5 = 30+1= 31
Q20: Ronit has Rs. 200 with him. How much money will be left with him if he buys 2 milkshakes, 3 cookies, 2 sharpeners and 4 chips?
(a) Rs. 48
(b) Rs. 44
(c) Rs. 34
(d) Rs. 40
View AnswerAns: (b)
Cost of 1 milkshake = Rs. 20
Cost of 2 milkshakes = Rs. (20 x 2) = Rs. 40
Cost of 1 cookie = Rs. 6
Cost of 3 cookies = Rs. (6 x 3) = Rs. 18
Cost of 1 sharpener = Rs. 13
Cost of 2 sharpeners = Rs. (13 x 2) = Rs. 26
Cost of 1 packet of chips = Rs. 18
Cost of 4 packets of chips = Rs. (18 x 4) = Rs. 72
Total cost = Rs. (40 + 18 + 26 + 72) = Rs. 156
Money left with Ronit = Rs. (200 - 156) = Rs. 44
Q21: Rohan bought 12 chocolates costing Rs. 12 each and 5 packets of chips costing Rs. 15 each. What is the total money he has to pay?
(a) Rs. 180
(b) Rs. 200
(c) Rs. 219
(d) Rs. 220
View AnswerAns: (c)
Cost of 1 chocolate = Rs. 12
Number of chocolates = 12
Total cost of chocolates = 12 x 12 = Rs. 144
Cost of 1 packet of chips = Rs. 15
Number of packet of chips = 5
Total cost of chips = 5 x 15 = Rs. 75
Total money payable by Rohan = 144 + 75 = Rs. 219
Q22: Following images show the amount of money with Monika before shopping.
Monika buys some items for home and the money left with her is shown below.
What is the amount of money which Monika spent on shopping?
(a) Rs. 2140
(b) Rs. 2340
(c) Rs. 2540
(d) Rs. 2640
View AnswerAns: (b)
Amount of money Monika had before shopping = 2000 + 500 + 200 = Rs. 2700
Amount of money left with Monika after shopping = 200 + 100 + 50 + 10 = Rs. 360
So, money spent on shopping by Monika = 2700 - 360 = Rs. 2340
Q23: Which of the following shows the fraction of encircled stars?
(a) 3/8
(b) 4/8
(c) 6/8
(d) 5/8
View AnswerAns: (c)
There are 8 stars and 6 out of 8 are encircled stars.
So, the required fraction is 6/8
Q24: Rohan received Rs. 559 from his father for buying a gift for her sister. Which of the following is the CORRECT number name for 559?
(a) Five hundred nine
(b) Five hundred and five nine
(c) Five hundred and fifty nine
(d) Five hundred and nine
View AnswerAns: (c)
CORRECT number name for 559 is five hundred and fifty nine.
Q25: The bar graph shows the number of books sold from a library in different months. Study the graph and answer the following question .
How many books are sold together in July and October?
(a) 3950
(b) 4000
(c) 3250
(d) 3550
View AnswerAns: (c)
In the above graph, number of divisions between 0 and 500 = 2
Therefore, each division represents = 500/2 = 250 books
Now,
Number of book sold in July = 2000
and the number of books sold in October = 1000 + 250 = 1250
Total number of books sold in July and October = 2000 + 1250 = 3250
Hence, option C is correct.
Q26: Rita decorated her room with stars. She put each star 3 cm apart. If the distance between the first and the second star was 126 cm, then how many stars did she put?
(a) 43
(b) 42
(c) 41
(d) 40
View AnswerAns: (a)
She put each star 3 cm apart.
The distance between the first and the second star was 126 cm.
So, total number of stars she put = 1 + (126 ÷ 3) = 43
Q27: Which of the following options represents 2 hours and 30 minutes less than the time shown in the clock?
(a) 4:15
(b) 4:00
(c) 3:45
(d) 3:00
View AnswerAns: (c)
Time shown in the clock = 6:15
2 hours and 30 minutes less than 6:15 means 3:45.
Q28: Sanya eats 12 chocolates everyday. If she eats same number of chocolates everyday, what could be the total number of chocolates she would have eaten after a week?
(a) 72
(b) 94
(c) 61
(d) 84
View AnswerAns: (d)
Number of chocolates Sanya eats everyday = 12
Number of chocolates Sanya eats in a week = 12 x 7 = 84
Q29: An ice-cream needs to be stored at a temperature which is 5oC less than the temperature indicated by the thermometer below. At what temperature should the ice-cream be stored?
(a) 10°C
(b) 7°C
(c) 5°C
(d) 3°C
View AnswerAns: (c)
Temperature indicated by the thermometer = 10°C
5°C less than 10°C = 10°C - 5°C = 5°C
Q30: Samir owns a toy shop and he sells 1 toy aircraft at a cost of Rs. 450. How much money can he make selling 8 such aircraft toys?
(a) Rs. 3000
(b) Rs. 2600
(c) Rs. 3800
(d) Rs. 3600
View AnswerAns: (d)
Cost of 1 aircraft toy = Rs. 450
Number of toys sold by Samir = 8
Total cost of 8 toys = 450 x 8 = Rs. 3600
Achievers Section
Q31: A rectangular grid is shown with different shapes in it. On the basis of the given figure, which of the following is true?
(a) The fraction of triangles is 8/24.
(b) The fraction of the circles is 10/24.
(c) The fraction of the triangles is 15/24 .
(d) The fraction of the stars is 8/24.
View AnswerAns: (d)
There are 8 stars, 9 circles and 7 triangles.
Total figures in the rectangular grid are 24.
Fraction of the stars = 8/24.
Q32: Which digits must be written in the blanks to make the below given equations CORRECT?
P: 547 < 5_ 6
Q: 874 > 87 _
R: 874 = _ 74
(a) P = 6, Q = 2, R = 8
(b) P = 3, Q = 2, R = 8
(c) P = 6, Q = 8, R = 2
(d) P = 9, Q = 0, R = 5
View AnswerAns: (a)
P: 547 < 566
Q: 874 > 872
R: 874 = 874
We can see that above statements are true with the digits given in option 1.
Q33: The pictograph shows different sizes of popcorn buckets sold in a movie theatre. Study the following graph and answer the following question.
Of which size were 18 buckets sold?
(a) Small
(b) Medium
(c) Large
(d) Both small and medium
View AnswerAns: (c)
Since, each bucket (in picture) = 6 buckets
Then,
Number of large popcorn buckets shown in pictograph = 3
Total number of large popcorn buckets sold = 6 x 3 = 18
Q34: Anand's sister's birthday is on the third Friday of July of 20xx. His own birthday is ten days after his sister's birthday.
When is Anand's birthday?
(a) 22nd July
(b) 29th July
(c) 25th July
(d) 19th July
View AnswerAns: (c)
The third Friday in the month of July lies on 15th July.
Now, by adding ten days to 15th July, we get 25th July.
So, Anand's birthday is on 25th July.
Q35: A man is standing on one of the identical concrete blocks. The height of the man is 156 cm. Find the height of the top of the uppermost block from the ground.
(a) 220 cm
(b) 240 cm
(c) 250 cm
(d) 260 cm
View AnswerAns: (d)
The man is standing on one block.
Height of the person = Height of 3 blocks = 156 cm
So, height of 1 block = 156 ÷ 3 = 52 cm
Now, all the blocks are identical.
So, height of the top of the uppermost block from the ground = 52 x 5 = 260 cm
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