Comprehensive Class 5 IMO Practice Questions with Answers

 Olympiad practice questions for IMO Class 5

Introduction 

 Preparing for the Class 5 International Mathematics Olympiad (IMO)      The International Mathematics Olympiad (IMO) is a globally recognized competition that aims to challenge and nurture the mathematical skills of young learners. For students in Class 5, participating in the IMO is an excellent opportunity to sharpen their reasoning, analytical, and problem-solving abilities. Here’s why the IMO is a valuable experience and how you can prepare for it:

1. Comprehensive Skill Development:

The IMO encourages students to think critically and apply mathematical concepts in real-life scenarios, going beyond textbook knowledge. 

2. Structured Syllabus:

 The competition covers key topics such as Logical Reasoning, Mathematical Reasoning, Everyday Mathematics, and a special Achievers Section, ensuring students gain a well-rounded understanding of mathematics.

3. Confidence Building:

 Solving challenging questions helps students build confidence in their abilities, which is crucial for excelling not only in academics but also in future competitive exams.

4. Competitive Edge: 

Participating in the IMO gives students exposure to a competitive environment, motivating them to perform better and stand out among their peers.

5. Exciting Rewards and Recognition:

 Apart from enhancing knowledge, the IMO offers certificates, medals, and other rewards that acknowledge students' efforts and achievements, boosting their morale.

6. Easy Accessibility to Resources:

 With curated question banks, sample papers, and practice material specifically designed for Class 5, preparing for the IMO is now more effective and enjoyable than ever.

This blog is providing a comprehensive collection of practice questions tailored to the Class 5 IMO syllabus. Whether it's Logical Reasoning, Mathematical Reasoning, Everyday Mathematics, or the Achievers Section, these questions will help young learners strengthen their concepts and excel in the Olympiad.

Logical Reasoning

1. Arrange the following words in alphabetical order: Kite, Apple, Zebra, Mango. Which word comes third?

2. Find the next number in the series: 5, 10, 20, 40, ?

3. Which figure is the odd one out: Circle, Triangle, Rectangle, Cube?

4. If "PENCIL" is coded as "PEICNL," how is "SCHOOL" coded?

5. What comes next in the sequence: ABC, BCD, CDE, ?

6. A train travels 60 km north, then 40 km east. How far is it from the starting point?

7. Which number does not belong in the series: 2, 4, 6, 7, 8, 10?

8. Find the missing figure in the pattern: □, ■, □, ?

9. Which is the middle word if arranged in reverse alphabetical order: Sun, Moon, Star, Planet?

10. Decode the following: If "A = 1, B = 2, C = 3," what is "HELLO"?

11. Select the odd pair: Pen-Paper, Lock-Key, Table-Chair, Sun-Moon.

12. Complete the analogy: Hand is to Glove as Foot is to ?

13. If each side of a triangle is 5 cm, what is its perimeter?

14. Find the missing number: 15, 25, 35, ?, 55.

15. If Monday is the first day of the week, what is the third day?

16. Which number is greater: 327, 372, 237, 273?

17. Select the figure that does not belong: Square, Rectangle, Triangle, Sphere.

18. If "DOG" is written as "EHP," how is "CAT" written?

19. What comes next: 2, 6, 12, 20, ?

20. Which number is even: 11, 23, 46, 39?

21. Arrange the following in descending order: 345, 234, 543, 432.

22. Select the correct mirror image of "CAT": C… (diagram-based).

23. If 1 kg = 1000 g, how many grams are in 2.5 kg?

24. Which word is fourth when arranged alphabetically: House, Garden, Forest, Field?

25. If "4 + 3 = 12" and "5 + 2 = 14," what is "6 + 3"?

 Mathematical Reasoning

1. What is the sum of 456 and 789?

2. Find the product of 34 and 56.

3. A rectangle has a length of 12 cm and a breadth of 8 cm. What is its area?

4. Simplify: 3/4 + 5/8.

5. Convert 2.5 km into meters.

6. If the perimeter of a square is 20 cm, what is its side length?

7. Find the smallest number divisible by both 6 and 9.

8. What is 45% of 200?

9. How many degrees are in a right angle?

10. Add: 6 hours and 45 minutes to 4 hours and 30 minutes.

11. Subtract 456 from 1000.

12. Multiply: 123 × 9.

13. Divide 1000 by 25.

14. How many milliliters are in 3 liters?

15. A triangle has sides of 5 cm, 6 cm, and 7 cm. What is its perimeter?

16. Simplify: 5/6 − 2/3.

17. Convert 8 kg into grams.

18. Find the area of a square with a side of 7 cm.

19. If 5 pens cost \$25, how much does 1 pen cost?

20. Calculate the average of: 12, 15, 18, 21.

21. How many minutes are there in 3 hours?

22. If 12 apples cost \$36, what is the cost of 1 apple?

23. Convert 4500 meters into kilometers.

24. What is the sum of the first 5 prime numbers?

25. Find the HCF of 24 and 36.

 Everyday Mathematics

1. If you have $50 and spend $35, how much is left?

2. A car travels 120 km in 2 hours. What is its speed?

3. If 3 shirts cost \$75, what is the cost of 1 shirt?

4. Convert 2 days into hours.

5. If a clock shows 2:15, how many minutes have passed since 2:00?

6. Find the total cost: $12, $15, and $18.

7. A boy cycles 4 km every day. How far does he cycle in a week?

8. How much is 1/4 of $100?

9. If 5 pencils cost $20, how much do 2 pencils cost?

10. A cake is divided into 8 equal parts. If 3 parts are eaten, what fraction is left?

11. If a train arrives at 3:45 p.m. and departs at 4:10 p.m., how long does it stop?

12. A man earns $2000 in a month. How much does he earn in a year?

13. Find the next number: 12, 24, 36, 48, ?

14. Subtract 25 from 100.

15. Add: $2.50 + $3.75 + $1.25.

16. A rectangle has a length of 9 cm and a breadth of 6 cm. Find its perimeter.

17. If a bus travels 60 km in 1 hour, how far does it travel in 5 hours?

18. How many weeks are in a year?

19. What is the cost of 8 kg of sugar if 1 kg costs $4?

20. If a book costs $15 and you buy 4, how much do you spend?

21. Divide 100 by 4.

22. Multiply: 18 × 7.

23. If today is Wednesday, what day will it be 10 days from now?

24. Find the missing number: 150 – ? = 25.

25. A car consumes 6 liters of fuel in 60 km. How much fuel does it consume per kilometer?

Achievers Section

1. Find the smallest 4-digit number divisible by 8.

2. A number is divisible by both 3 and 5. What is the smallest such number?

3. Simplify: 6/8 + 3/4.

4. What is the area of a rectangle with sides 8 cm and 15 cm?

5. A cube has a side length of 5 cm. What is its volume?

6. If 25% of a number is 50, what is the number?

7. Find the square root of 144.

8. How many sides does a hexagon have?

9. Find the least common multiple (LCM) of 12 and 15.

10. If the sum of three consecutive numbers is 27, find the numbers.

11. A clock shows 10:15. What angle is formed by the hour and minute hands?

12. What is the sum of all angles in a triangle?

13. Find the cube root of 125.

14. A cylinder has a radius of 7 cm and height of 10 cm. What is its volume?

15. Solve: 5x = 25.

16. Convert 3/5 into a percentage.

17. A car is traveling at 60 km/h. How long will it take to travel 300 km?

18. Find the greatest common divisor (GCD) of 36 and 48.

19. Solve: 3x + 5 = 20.

20. If the area of a square is 64 sq. cm, what is its side length?

21. How many vertices does a cube have?

22. A bag contains 3 red balls and 2 blue balls. What is the probability of picking a red ball?

23. Simplify: 2/3 × 9/4.

24. A triangle has angles of 40° and 60°. What is the third angle?

25. Find the perimeter of a rectangle with length 20 cm and breadth 10 cm.

 Answers

Logical Reasoning: 1. Zebra, 2. 80, 3. Cube, 4. SCHLOO, 5. DEF, 6. 50 km, 7. 7, 8. ■, 9. Star, 10. 52, 11. Sun-Moon, 12. Shoe, 13. 15 cm, 14. 45, 15. Wednesday, 16. 372, 17. Sphere, 18. DBU, 19. 30, 20. 46, 21. 543, 22. (depends on diagram), 23. 2500, 24. Garden, 25. 18.

Mathematical Reasoning: 1. 1245, 2. 1904, 3. 96 sq. cm, 4. 1 3/8, 5. 2500 m, 6. 5 cm, 7. 18, 8. 90, 9. 90°, 10. 11 hours 15 mins, 11. 544, 12. 1107, 13. 40, 14. 3000 ml, 15. 18 cm, 16. 1/6, 17. 8000 g, 18. 49 sq. cm, 19. \$5, 20. 16.5, 21. 180 mins, 22. \$3, 23. 4.5 km, 24. 28, 25. 12.

Everyday Mathematics: 1. \$15, 2. 60 km/h, 3. \$25, 4. 48 hrs, 5. 15 mins, 6. \$45, 7. 28 km, 8. \$25, 9. \$8, 10. 5/8, 11. 25 mins, 12. \$24000, 13. 60, 14. 75, 15. \$7.50, 16. 30 cm, 17. 300 km, 18. 52 weeks, 19. \$32, 20. \$60, 21. 25, 22. 56, 23. Saturday, 24. 25, 25. 0.1 liters.

Achievers Section: 1. 1000, 2. 15, 3. 1 1/4, 4. 120 sq. cm, 5. 125, 6. 200, 7. 12, 8. 6, 9. 60, 10. 8, 9, 10, 11. 97.5°, 12. 180°, 13. 5, 14. 1540 cm³, 15. 5, 16. 60%, 17. 5 hours, 18. 12, 19. 5, 20. 8 cm, 21. 8, 22. 3/5, 23. 3/2, 24. 80°, 25. 60 cm.