Math Olympiad IMO Class 4 QuestionsÂ
Syllabus for Math Class 4 International Mathematical OlympiadÂ
Section 1: Logical Reasoning
Patterns: Identify patterns in sequences of numbers, letters, or shapes.
Alphabet Test: Understand the order of letters in the alphabet and solve related problems.
Coding-Decoding: Decode messages based on given codes or create codes for given messages.
Ranking Test: Determine the position of an object in a given sequence.
Mirror Images: Identify the correct mirror image of a given figure.
Geometrical Shapes and Solids: Recognize and differentiate between various shapes and solids.
Embedded Figures: Find hidden shapes within larger shapes.
Direction Sense Test: Solve problems based on directions (north, south, east, west).
Days and Dates & Possible Combinations: Calculate days, weeks, months, and years.
Analogy and Classification: Identify relationships between objects or concepts and classify them.
Section 2: Mathematical Reasoning
Numerals and Number Names: Write numbers in numerals and words.
Number Sense: Understand place value, compare numbers, and perform basic operations.
Computation Operations: Add, subtract, multiply, and divide numbers.
Fractions: Understand the concept of fractions and perform operations on them.
Length, Weight, Capacity, Time, Money: Solve problems involving measurement units.
Geometry: Identify and draw various shapes, calculate area and perimeter.
Perimeter of Various Shapes: Calculate perimeters of different shapes.
Symmetry: Identify lines of symmetry in shapes.
Conversions: Convert units of measurement.
Data Handling: Interpret and analyze data presented in graphs and charts.
Section 3: Everyday Mathematics
Similar to Section 2, but with more emphasis on real-life applications of mathematical concepts.
Section 4: Achievers Section
Higher-order thinking questions based on the syllabus of Sections 2 and 3.
201 Questions For Class 4 International Mathematical OlympiadÂ
1.If 'CAT' is coded as 'XZW', then how will 'DOG' be coded?
(A) HLM
 (B) JKL
 (C) MNPÂ
(D) VUT
2.Find the odd one out:
(A) 25
 (B) 36
 (C) 49Â
 (D) 61
3.In a row of children, A is 10th from the left end and B is 15th from the right end. If there are 30 children in the row, how many children are there between A and B?
4.What is the place value of 7 in 78542?
(A) 70000Â
(B) 7000
 (C) 700Â
(D) 70
5.Simplify: 25 + 15 ÷ 3 - 2 × 4
(A) 19
 (B) 21Â
(C) 23Â
(D) 25
6.If 2/3 of a number is 16, what is the number?
 (A) 12
 (B) 20
 (C) 24
 (D) 30
7.The perimeter of a square is 36 cm. What is its area?
 (A) 36 sq cm
 (B) 64 sq cmÂ
(C) 81 sq cmÂ
(D) 100 sq cm
8. A shopkeeper bought a watch for Rs. 500 and sold it for Rs. 600. What is his profit percentage?
(A) 10%Â
(B) 15%Â
(C) 20%Â
(D) 25%
20.If a train travels 120 km in 2 hours, what is its speed in km/hr?
(A) 40 km/hrÂ
(B) 50 km/hr
(C) 60 km/hrÂ
(D) 70 km/hr
21.A rectangular garden is 20 m long and 15 m wide. What is its area in square meters?
22.Identify the missing number in the sequence: 2, 5, 8, 11, ___.
23.What comes next in the series: A, C, E, G, ___.
24.Find the odd one out: 13, 17, 23, 29, 31.
25.Which letter is 8th to the right of the 17th letter from the left end of the English alphabet?
26.If ‘CAT’ is coded as ‘XZW’, then how will ‘DOG’ be coded?
27.If ‘APPLE’ is coded as ‘ZXYLO’, then how will ‘GRAPE’ be coded?
28. Decode the following: YFBMUI
29.If Ram is taller than Shyam, and Shyam is taller than Mohan, who is the tallest?
30.How many faces does a cube have?
31.Which shape has 5 sides?
32.A man walks 10 m towards North, then turns right and walks 5 m. In which direction is he facing now?
33.If East becomes North, North becomes West, West becomes South, and South becomes East, then what will be the direction of a person facing South?
34.If today is Monday, what will be the day after tomorrow?
35.How many days are there in the month of February in a leap year?
36.Find the pair which is different from the others: (A) Dog-Bark (B) Cow-Moo (C) Lion-Roar (D) Fish-Swim
37.Classify the following into two groups: Apple, Mango, Car, Bus, Orange, Bike
38.Write the numeral for ‘Nine thousand eight hundred seventy-six’.
39. Write the number name for 5678.
40.What is the place value of 7 in 78542?
41.Compare the numbers: 3456 and 3546.
42.Round off 876 to the nearest tens.
43.Add: 345 + 231
44.Subtract: 567 - 234
45.Multiply: 23 × 12
46. Divide: 63 ÷ 7
47.How many centimeters are there in 1 meter?
48.What is the weight of a 10-rupee coin?
49.How many hours are there in a day?
50.How many 5-rupee coins make 20 rupees?
51.Identify a quadrilateral with all sides equal.
52. Calculate the perimeter of a square with side 5 cm.
53.What is the area of a rectangle with length 6 cm and breadth 4 cm?
54.Find the perimeter of an equilateral triangle with side 7 cm.
55.Calculate the perimeter of a rectangle with length 10 cm and breadth 8 cm.
56.Which of the following shapes has rotational symmetry?Â
(A) SquareÂ
(B) RectangleÂ
(C) Scalene Triangle
 (D) Circle
57. Convert 2 meters to centimeters.
58.Convert 5 kilograms to grams.
59. If a pen costs Rs. 5, how much will 10 pens cost?
60.A shopkeeper bought a toy for Rs. 20 and sold it for Rs. 25. What is his profit?
61.If a train travels 120 km in 2 hours, what is its speed in km/hr?
62.A pizza is cut into 8 equal slices. If you eat 2 slices, what fraction of the pizza did you eat?
63.If the day after tomorrow is Thursday, what was the day before yesterday?
64.A man bought 10 chocolates for Rs. 50 and sold them for Rs. 80. What is his profit per chocolate?
65.A bus starts from a station with 40 passengers. At the first stop, 10 passengers get down and 5 passengers get in. How many passengers are there in the bus now?
66.What is the place value of 5 in 5678?
67.Round off 345 to the nearest tens.
68.Multiply: 234 × 12.
69.Divide: 72 ÷ 8.
70.What fraction of a day is 6 hours?
71.How many minutes are there in 2 hours?
72.Calculate the perimeter of a square with side 6 cm.
73.Identify a triangle with all sides equal.
Convert 3 meters to centimeters.
74.If today is Tuesday, what was the day before yesterday?
75.A man bought 15 pencils for Rs. 75 and sold them for Rs. 120. What is his profit per pencil?
76.A train starts from a station with 250 passengers. At the first stop, 50 passengers get down and 30 passengers get in. How many passengers are there in the train now?
77.A rectangular garden is 20 m long and 15 m wide. What is its area in square meters?
If the day after tomorrow is Friday, what was the day before yesterday?
78.Dog : Bark :: Cat : ?
(A) Meow
(B) Roar
(C) Moo
(D) Chirp
79.Book : Read :: Pen : ?
(A) Write
(B) Paint
(C) Sing
(D) Sketch
80.Clock : Time :: Thermometer : ?
(A) Weather
(B) Temperature
(C) Heat
(D) Light
81.If CAT = 3120, what is DOG?
(A) 4157
(B) 4137
(C) 5124
(D) 5234
82.In a certain code language, APPLE is written as ZKOKD. How is MANGO written?
(A) OZMLQ
(B) NZOLQ
(C) LYMLP
(D) NZOLP
83. Randy walks 10 m north, then 5 m east, then 10 m south. How far is he from his starting point?
(A) 5 m
(B) 10 m
(C) 15 m
(D) 20 m
84.Zaiyana starts walking from her house. She walks 15 m south, then 10 m west, and finally 15 m north. Where is she now in relation to her house?
(A) 10 m west
(B) 15 m east
(C) 10 m south
(D) 15 m north
85. In a race, Joseph is 5th from the start and 6th from the end. How many students are in the race?
(A) 10
(B) 11
(C) 12
(D) 9
86. If Paul is taller than Meesha but shorter than Murfi, and Meesha is shorter than Parul, who is the shortest?
(A) Paul
(B) Meesha
(C) Parul
(D) Murti
87.What is the sum of 346 and 215?
(A) 561
(B) 551
(C) 571
(D) 556
88.Subtract 198 from 500.
(A) 302
(B) 312
(C) 322
(D) 342
89.Multiply: 45 × 8
(A) 360
(B) 320
(C) 400
(D) 340
90.Divide 144 by 12.
(A) 10
(B) 12
(C) 14
(D) 16
91.What is 1/4 of 200?
(A) 25
(B) 50
(C) 75
(D) 100
92.Add: 2/3 + 1/3
(A) 3/3
(B) 2/3
(C) 1
(D) 4/3
93.A train leaves the station at 9:15 AM and reaches its destination at 1:45 PM. How long is the journey?
(A) 4 hours 30 minutes
(B) 5 hours 15 minutes
(C) 5 hours 30 minutes
(D) 4 hours 45 minutes
94.Convert 2 hours 45 minutes into minutes.
(A) 165 minutes
(B) 175 minutes
(C) 185 minutes
(D) 195 minutes
95.A farmer has 24 cows and 36 hens. How many legs do all the animals have together?
(A) 180
(B) 192
(C) 200
(D) 216
96.A shopkeeper sold 123 apples on Monday and 157 apples on Tuesday. How many apples did he sell in total?
(A) 270
(B) 280
(C) 290
(D) 300
97.If 8 chocolates cost ₹60, how much does 1 chocolate cost?
(A) ₹7.50
(B) ₹8.00
(C) ₹7.00
(D) ₹6.50
98.Find the perimeter of a rectangle with length 12 cm and breadth 8 cm.
(A) 40 cm
(B) 44 cm
(C) 48 cm
(D) 50 cm
99.A square has a side of 15 cm. What is its area?
(A) 150 cm²
(B) 200 cm²
(C) 225 cm²
(D) 250 cm²
100.A cat 4 legs, if total number of legs are 100,number of cats are-
A. 30
B. 25
C. 35
D. 40
Tips for Preparation:
Practice regularly and consistently.
Understand the concepts thoroughly.
Time management is crucial.
Stay calm and focused during the exam.
More Questions For International Mathematical Olympiad Class 4Â
101.Complete the series: A, C, E, G, ___.
102.Find the odd one out: 2, 4, 6, 8, 10, 13.
103.If ‘DAY’ is coded as ‘14125’, then how will ‘NIGHT’ be coded?
104.In a row of girls, Priya is 12th from the left end and Riya is 18th from the right end. If there are 30 girls in the row, how many girls are there between Priya and Riya?
105.What is the place value of 5 in 5678?
106.Round off 345 to the nearest tens.
107.Multiply: 234 × 12.
108.Divide: 72 ÷ 8.
109.What fraction of a day is 6 hours?
110.How many minutes are there in 2 hours?
111.Calculate the perimeter of a square with side 6 cm.
112.Identify a triangle with all sides equal.
Convert 3 meters to centimeters.
113.If a pen costs Rs. 7, how much will 15 pens cost?
114.A shopkeeper bought a book for Rs. 50 and sold it for Rs. 60. What is his profit?
115.A car travels 180 km in 3 hours. What is its speed in km/hr?
116.A pizza is cut into 6 equal slices. If you eat 2 slices, what fraction of the pizza did you eat?
117.A bus starts with 30 passengers. At the first stop, 12 passengers get down and 8 passengers get in. How many passengers are there in the bus now?
118.If the day after tomorrow is Friday, what was the day before yesterday?
119.A man bought 15 pencils for Rs. 75 and sold them for Rs. 120. What is his profit per pencil?
120.A train starts from a station with 250 passengers. At the first stop, 50 passengers get down and 30 passengers get in. How many passengers are there in the train now?
121.A rectangular garden is 20 m long and 15 m wide. What is its area in square meters?
122.If the day after tomorrow is Friday, what was the day before yesterday?
123.There are 25 students in a class. If each student gets 5 books, how many books are there in total?
124.A shopkeeper has 120 chocolates. He sells 75 of them. How many chocolates are left?
125.A bus travels 30 km in one hour. How far will it travel in 5 hours?
126.A train leaves a station at 10:30 AM and reaches another station at 1:30 PM. How long does the journey take?
127.A farmer has 50 hens. Each hen lays 2 eggs per day. How many eggs will the farmer get in 5 days?
128.A pizza is cut into 8 equal slices. If you eat 3 slices, what fraction of the pizza is left?
129.A bag of sugar weighs 2 kg. How many 500g packets can be made from it?
130.A movie starts at 2:30 PM and ends at 5:00 PM. How long is the movie?
131.A book has 200 pages. If you read 25 pages per day, how many days will it take to finish the book?
132.A shop sells apples at Rs. 20 per kg. How much will 3 kg of apples cost?
133.A train travels at a speed of 60 km/hr. How far will it travel in 3 hours?
134.A bus starts with 40 passengers. At the first stop, 15 passengers get down and 10 passengers get in. How many passengers are there in the bus now?
135.A box of chocolates has 24 chocolates. If you eat 6 chocolates per day, how many days will the box last?
136.A farmer has 100 cows. If he sells 20 cows, how many cows are left?
137.A car travels 90 km in 1.5 hours. What is its speed in km/hr?
138.A shopkeeper buys a pen for Rs. 10 and sells it for Rs. 15. What is his profit?
139.A train leaves a station at 9:15 AM and reaches another station at 11:45 AM. How long does the journey take?
140.A bag of rice weighs 5 kg. How many 250g packets can be made from it?
141A movie starts at 1:45 PM and ends at 4:15 PM. How long is the movie?
142.A book has 300 pages. If you read 30 pages per day, how many days will it take to finish the book?
143.A shop sells oranges at Rs. 30 per kg. How much will 2 kg of oranges cost?
144.A train travels at a speed of 80 km/hr. How far will it travel in 2.5 hours?
145.A bus starts with 50 passengers. At the first stop, 20 passengers get down and 15 passengers get in. How many passengers are there in the bus now?
146.A box of chocolates has 36 chocolates. If you eat 9 chocolates per day, how many days will the box last?
147.A farmer has 120 sheep. If he sells 30 sheep, how many sheep are left?
148.How many sides does a triangle have?
149. What shape has four equal sides?
150.Draw a circle of radius 3cm.
151.What is the name of a shape with 5 sides?
152.A recipe calls for 3/4 cup of flour. If you double the recipe, how much flour will you need?
153.A store is having a sale on toys. All toys are 25% off. If a toy originally costs $20, how much will it cost on sale?
154.If a number is multiplied by 6 and then 5 is added, the result is 41. What is the number?
155.A farmer has 500 apples. He sells 2/5 of them. How many apples does he sell?
156.A train leaves a station at 9:15 AM and arrives at its destination at 11:45 AM. How long does the journey take?
157.If yesterday was Wednesday, what day will it be two days after tomorrow?
158.If A is heavier than B, and B is heavier than C, who is the heaviest?
159.Find the missing number: 2, 4, 8, 16, __
Spatial ReasoningÂ
Tips for creating effective pattern questions:
Use a variety of patterns: number, shape, letter, and color.
Include missing element questions to test understanding of the pattern.
Ask questions about the rule or the next element in the pattern.
Use visual aids to make the patterns clear and engaging.
Consider using real-world examples to make the patterns more relatable.
160.If you fold a square paper diagonally, what shape do you get?
161.How many lines of symmetry does a circle have?
162.If you rotate a square 90 degrees clockwise, what will it look like?
163.Identify the shape that is different from the rest:
A. SquareÂ
B. Circle
 C. TriangleÂ
D. Rectangle
164.Which shape has 5 sides?
A. PentagonÂ
B. Hexagon
 C. Quadrilateral
 D. Triangle
165.Count the number of corners in a cube.
How many faces does a cylinder have?
Which shape is a 3D shape?
A. Circle
B. Square
C. SphereÂ
D. Triangle
166. If you fold a paper in half, how many folds will it have?
167.If you cut a square paper diagonally, what shapes do you get?
168.Imagine a cube. How many edges does it have?
169.If you rotate a square 90 degrees clockwise, what will it look like?
170.If you cut a rectangular piece of paper into two equal triangles, what type of triangles will you get?
171.Imagine rotating a triangle 180 degrees. What would it look like?
172.If you rotate a rectangle 90 degrees clockwise, what shape will it become?
173.If you are facing north and turn right, which direction are you facing?
174.If you are facing west and turn 180 degrees, which direction are you facing?
175. If you are standing in the top left corner of a room, where would you be if you moved two steps to the right and one step down?Â
175.Imagine a map. If you start at point A and move two blocks east and one block north, where will you be?
176.If you are facing south and turn 270 degrees clockwise, which direction are you facing?
177. Imagine a cube. How many corners does it have?
178.If you cut a rectangular prism diagonally, what shapes do you get?
179.If you stack two cubes on top of each other, what shape do they form?
180.Imagine a pyramid. How many faces does it have?
181.If you unfold a cube, how many squares will you see?
182.What is the next number in the sequence: 2, 4, 6, 8, __?
183.Find the missing number: 10, 20, 30, __, 50.
184.What is the rule for the pattern: 5, 10, 15, 20, ...?
185.If the pattern continues, what will be the 8th number: 3, 6, 9, 12, ...?
186.Which number is missing: 2, 4, 8, __, 32?
187.What is the next letter in the pattern: A, C, E, G, __?
188.Find the missing letter: B, D, F, __, J.
189.What is the rule for the pattern: A, B, B, A, B, B, ...?
190.If the pattern continues, what will be the 10th letter: A, C, E, G, ...?
191.Which letter is missing: A, C, E, __, I?
192. What is the place value of 7 in the number 753?
193.Round off 48 to the nearest 10.
194.Write the number 5032 in expanded form.
195.Compare the numbers 345 and 354. Which is greater?
196.Arrange the numbers 23, 56, 12, and 45 in ascending order.
197.A shop has 35 red balloons and 28 blue balloons. How many balloons are there in total?
198.A book has 120 pages. If you read 30 pages each day, how many days will it take to finish the book?
199.A farmer has 50 chickens. He sells 20 of them. How many chickens are left?
200.A bag of marbles has 48 marbles. If you share them equally among 6 friends, how many marbles will each friend get?
201.A pizza is cut into 8 slices. If you eat 3 slices, how many slices are left?
Sample Paper
0 Comments