Mathematics Olympiad Model Test 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: If the code for 'CANDY' is 'ECPFA', what will be the code for 'RESIN'?(a) TGRKP
(b) TYUKP
(c) TGNKP
(d) TGUKP
View AnswerAns: (d)
The pattern followed is as follows:
Similarly
Q2: Sheena, Anu, Piya and Reena, who are friends, appeared for a test. Sheena scored less marks in the test than Reena. Sheena did not come last. Piya did not come first. Anu didn't score the least.
Who scored the most among all the friends?
(a) Sheena
(b) Piya
(c) Anu
(d) Reena
View AnswerAns: (c)
The order of friends from first to last is:
Anu, Reena, Sheena, Piya
Q3: Find the figure from the options which will complete the given figure matrix.
(a) 
(b) 
(c) 
(d) 
View AnswerAns: (b)
In each row, the number of shapes is increased by one in each next column from the previous column.
Q4: Which of the following shapes is not present in the given figure?
(a) Circle
(b) Rectangle
(c) Square
(d) Triangle
View AnswerAns: (c)
So, the square shape is not present in the given figure.
Q5: Find the odd one out.
(a) Starfish
(b) Whale
(c) Shark
(d) Frog
View AnswerAns: (d)
Frogs can survive out of water. It means that they can survive on land but rest can only live in water but not on land.
Q6: Out of 24 students, Neha is standing at 20th position from starting of a queue. What is her position from last?
(a) 5th
(b) 7th
(c) 8th
(d) 9th
View AnswerAns: (a)
From the figure, there are 4 students behind Neha .
So, Neha is standing at 5th position from last.
Q7: If 'plate' is called 'cup', 'cup' is called 'bottle', 'bottle' is called 'glass', 'glass' is called 'fork' and 'fork' is called 'bowl', then noodles are eaten with a ______.
(a) bowl
(b) glass
(c) fork
(d) cup
View AnswerAns: (a)
Noodles are eaten with a 'fork' but 'fork' is called as 'bowl'. Therefore, bowl will come in the blank.
Q8: Find the next term in the given pattern.
28, 35, 42, 49, _____
(a) 61
(b) 55
(c) 56
(d) 62
View AnswerAns: (c)
The terms are increasing by 7.
28 + 7 = 35
35 + 7 = 42
42 + 7 = 49
49 + 7 = 56
Q9: Which of the following letter will replace the question mark (?) to make one word as the name of a vegetable and the other word as name of a vehicle?
(a) C
(b) R
(c) S
(d) M
View AnswerAns: (b)
Name of vegetable = Beetroot
Name of vehicle is = Truck
So, 'R' will come at the place of question mark.
Q10: Find out the category of the word which is formed after arranging the given letters.
TPURIJE
(a) Plant
(b) Planet
(c) Flower
(d) Animal
View AnswerAns: (b)
The word 'JUPITER' can be formed by re-arranging 'TPURIJE' and the category of Jupiter is planet.
Mathematical Reasoning
Q11: Rohit buys two toys, one for Rs. 48 and the other for Rs. 36. If he gives Rs. 100 to the shopkeeper, then how much money will he receive back?(a) Rs. 12
(b) Rs. 14
(c) Rs. 16
(d) Rs. 18
View AnswerAns: (c)
Total amount of the two toys = Rs. (48 + 36) = Rs. 84
Amount of money received back from the shopkeeper = Rs. (100 – 84) = Rs. 16
Q12: There are 12 classrooms in a school and in each classroom, there are 40 students. How many benches are required for the school if 2 students can sit on one bench?
(a) 960
(b) 480
(c) 240
(d) 220
View AnswerAns: (c)
Number of classes in the school = 12
Number of students in each class = 40
Total number of students = 12 × 40 = 480
Number of benches required for two students = 1
Number of benches required for 480 students = 480 ÷ 2 = 240
Q13: Rahul got his pocket money for the month of June. He bought the following things and gave the shopkeeper Rs. 300. How much amount money did he get back?
(a) Rs. 35
(b) Rs. 25
(c) Rs. 50
(d) Rs. 45
View AnswerAns: (b)
Amount of money Rahul had = Rs. 300
Cost of Bottle = Rs. 50
Cost of Paper Bag = Rs. 25
Cost of Headphones = Rs. 80
Cost of Basket = Rs. 120
Now,
Total cost of all the items = 50 + 25 + 80 + 120 = Rs. 275
Amount of money he got back = 300 - 275 = Rs. 25
Hence, option B is correct.
Q14:Ritika got Rs. 500 to buy three notebooks for Rs. 75 each and one bag for Rs. 150. How much money does she has now if she bought the given items?
(a) Rs. 125
(b) Rs. 225
(c) Rs. 150
(d) Rs. 375
View AnswerAns: (a)
Amount of money Ritika had = Rs. 500
Cost of 1 notebook = Rs. 75
Cost of 3 notebooks = 75 x 3 = Rs. 225
Cost of 1 bag = Rs. 150
Total money spent on given items = 225 + 150 = Rs. 375
Amount of money left with her = 500 - 375 = Rs. 125
Q15: Which of the following statements is INCORRECT?
(i) 4 x 6 is equal to 6 x 4.
(ii) If there are 5 colours in a box, then there would be 75 colours in 15 boxes.
(iii) If Sonia has 48 gloves, then she has 24 pairs of gloves.
(iv) 3 - 2 is the same as 2 - 3.
(a) (i)
(b) (ii)
(c) (iii)
(d) (iv)
View AnswerAns: (d)
(i) 4 x 6 = 24 is equal to 6 x 4 = 24.
(ii) If there are 5 colours in a box, then there would be 75 colours in 15 boxes.
75 ÷ 5 = 15
(iii) If Sonia has 48 gloves, then she has 24 pairs of gloves.
48 ÷ 2 = 24
(iv) 3 - 2 is the same as 2 - 3' - this statement is incorrect.
3 - 2 = 1
2 - 3 = -1
Q16: Select the incorrect statement from the following:
(a) A cuboid has 4 faces.
(b) A triangular prism has 5 faces.
(c) A pyramid has 6 corners.
(d) A sphere has no face.
View AnswerAns: (a)
A cuboid has 6 faces. So, statement 1 is incorrect.
Q17: Match the following shaded faces with the correct shapes.
(a) P - (2), Q - (1), R - (4), S - (3)
(b) P - (3), Q - (1), R - (4), S - (2)
(c) P - (3), Q - (1), R - (2), S - (4)
(d) P - (2), Q - (3), R - (1), S - (4)
View AnswerAns: (c)
Shape P is rectangular. (3)
Shape Q is circular. (1)
Shape R is triangular. (2)
Shape S is a square. (4)
Q18: Find the missing number in the box.
(a) 300
(b) 250
(c) 100
(d) 150
View AnswerAns: (c)
? x 5 - 3 + 8 ÷ 2 = 501
? x 5 - 3 + 4 = 501
? x 5 + 1 = 501
? x 5 = 501 - 1
? x 5 = 500
? = 500 ÷ 5
? = 100
Q19: The value of ☺ is 9 times the value of ♥. What will be the value of ☺ - 4, if ♥ + 64 = 123?
(a) 578
(b) 527
(c) 531
(d) 536
View AnswerAns: (b)
♥ + 64 = 123
♥ = 123 - 64
♥ = 59
Therefore,
the value of ☺ is 9 times the value of ♥.
☺ = 59 x 9 = 531
☺ - 4 = 531 - 4 = 527
Q20: There are 42 students going on a school trip in a bus. The bus has 7 seats in each row. How many rows are required to seat all the students?
(a) 5
(b) 6
(c) 7
(d) 8
View AnswerAns: (b)
Divide the number of students by the number of seats in each row.
42 ÷ 7 = 6
The students can be seated in 6 rows.
Q21: Shanti is making a calendar so that she can remember the birthday of her brother. Her brother's birthday falls on March 16, 20xx. What day will it be on this date?
(a) Monday
(b) Tuesday
(c) Wednesday
(d) Thursday
View AnswerAns: (d)
Every single day is repeated after 7 days.
9th March is a Thursday, so 16th March will also be a Thursday.
Q22: The graph shows the number of students who participated in different sports in an academy. Study the graph carefully and answer the question.
The highest number of students participated in ________.
(a) swimming
(b) football
(c) badminton
(a) table tennis
View AnswerAns: (a)
According to the graph, the highest number of students, which is 2700, took part in swimming.
Q23: The given pictograph shows 4 different kinds of fruits Daniel bought baskets. Study the graph and answer the following question.
What is the difference between number of bananas and apples that Daniel bought?
(a) 5
(b) 6
(c) 10
(d) 12
View AnswerAns: (b)
Since, each basket has 6 fruits.
So, number of baskets of apples = 3
Total number of apples = 6 x 3 = 18
Now,
Number of baskets of bananas = 4
Total number of bananas = 6 x 4 = 24
So, the difference between number of bananas and apples = 24 - 18 = 6
Q24: If Bottle + Bottle + Bottle + Bottle = 660 ml, then Bottle = ?
(a) 200 ml
(b) 165 ml
(c) 250 ml
(d) 145 ml
View AnswerAns; (b)
Total number of bottles = 4
Total quantity 4 bottles contain = 660 ml
Quantity in each bottle = 660 ÷ 4
= 165 ml
So, Bottle = 165 ml
Q25: The given clocks show the time at which Ajay starts playing and the time at which he finishes playing. How long does he take to play?
(a) 4 hours and 15 minutes
(b) 2 hours and 15 minutes
(c) 4 hours and 45 minutes
(d) 2 hours and 45 minutes
View AnswerAns: (b)
Ajay starts playing at 6:45 p.m.
He finishes playing at 9:00 p.m.
Total time taken by Ajay = Duration from 6:45 p.m. to 9:00 p.m. = 2 hours and 15 minutes
Q26: 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
Q27: There are 3756 sweets in a bag. If all the sweets are in groups of three, then how many groups would be there?
(a) 1245
(b) 1256
(c) 1243
(d) 1252
View AnswerAns: (d)
Number of sweets in the bag = 3756
The sweets are in groups of 3.
Therefore, 3756 ÷ 3 = 1252
Q28: Find the missing digit in the box, if the remainder is equal to 4.
(a) 3
(b) 6
(c) 7
(d) 9
View AnswerAns: (c)
Therefore, the missing digit is 7.
Alternative Method:
Dividend = Quotient x Divisor + Remainder
123 = 17 x ? + 4
17 x ? = 123 - 4
17 x ? = 119
? = 119 ÷ 17 = 7
Q29: The following pictograph shows the number of students attending karate class weekly. Study the graph and answer the following question.
How many more students attended the class in week 3 than in week 4?
(a) 9
(b) 12
(c) 6
(d) 18
View AnswerAns: (a)
Each red belt represents 3 students.
Now,
Number of belts for week 3 = 6
Total number of students in week 3 = 3 x 6 = 18
Number of belts in week 4 = 3
Total number of students in week 4 = 3 x 3 = 9
Difference of students who attended the class in week 3 and in week 4 = 18 - 9 = 9
Q30: Which of the temperature readings given as options is closest to the temperature reading shown by the thermometer?
(a) 60°F
(b) 62°F
(c) 70°F
(d) 68°F
View AnswerAns: (d)
The thermometer indicates a temperature of 68°F.
Achievers Section
Q31: If 12 bananas are put in each bag, how many bananas would be there altogether?
(a) 72(b) 24
(c) 36
(d) 40
View AnswerAns: (a)
Number of bananas in each bag = 12
Number of bags = 6
Number of bananas altogether = 12 x 6 = 72
Q32: The bar graph shows the marks scored by the different classes in an Olympiad exam. Study the graph and answer the following question.
What is difference between the minimum and maximum marks scored by the classes?
(a) 500
(b) 400
(c) 300
(d) 200
View AnswerAns: (a)
According to the bar graph,
The maximum marks scored = 800 by class IV
Minimum marks scored = 300 by class I
Therefore, the difference between the marks of classes getting highest and lowest marks = 800 - 300 = 500
Q33: Daniel purchased a baskets of bread, a basket of fruits and a basket of flowers.
The total weight she carries is ________.
(a) 4 kg 250 g
(b) 5 kg 785 g
(c) 5 kg 652 g
(d) 4 kg 548 g
View AnswerAns: (b)
Weight of the basket of breads = 2 kg 185 g
Weight of the basket of fruits = 3 kg 150 g
Weight of the basket of flowers = 450 g
Total weight = 5 kg 785 g
Q34: In a school, many events were held. A pie-eating contest began at 10:00 A.M. and lasted for 35 minutes. Immediately after that, a swimming contest was held, which ended after 25 minutes. A dance competition was held immediately after swimming competition, and it ended after 1 hour and 20 minutes. Then, immediately afterwards, a race was held, which took another 1 hour and 10 minutes to complete. Right after the race, lunch began and the it ended at 02:35 P.M.
At what time did the lunch begin?
(a) 11:00 A.M.
(b) 12:20 P.M.
(c) 01:30 P.M.
(d) 01:35 P.M.
View AnswerAns: (c)
According to the information given in the question, the following solution is achieved:
- Pie-eating contest began at 10:00 A.M. and lasted for 35 minutes. So, it finished at 10:00 A.M. + 35 minutes = 10:35 A.M.
- Swimming contest began at 10:35 A.M. and ended after 25 minutes. So, it finished at 10:35 A.M. + 25 minutes = 11:00 A.M.
- Dance competition began at 11:00 A.M. and ended after 1 hour and 20 minutes. it finished at (11:00 A.M. + 1 hour and 20 minutes) = 12:20 P.M.
- The race began at 12:20 P.M. and it ended after 1 hour and 10 minutes. So, 12:20 P.M. + 1 hour and 10 minutes = 01:30 P.M.
Therefore, the lunch began at 01:30 P.M.
Q35: While adding up the cost of stuffed toys, Sonia made a mistake.
Step A - Rs. (56 + 75 + 15 + 210)
Step B - Rs. 356
Step C - Total Bill = Rs. 356
She made a mistake at which step?
(a) Step A
(b) Step B
(c) Step C
(d) None of these
View AnswerAns: (a)
The cost of the 3rd stuffed toy has been written as Rs. 15 instead of Rs. 150
Total cost will become = 56 + 75 + 150 + 210 = Rs. 491
Hence, she made a mistake in step A.
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