Challenge# 1

This is the first of the 100 challenges I am planning to post till the IMO exam for class 4. For each challenge a winner will be announced. The winner will have to answer the questions in the comment section.


Challenge 1

Q.1 Roshan entered the class at 9:30 AM. He attended three classes of 30 minute, 45 minute and 50 minute respectively before leaving the class. There was a break of 10 minutes between class 1 and 2. When did he leave the class ?

Q.2  A train takes 4 hours to travel from City A to City B. A bust takes 3 times as much time to cover the same distance. If the bust starts from City A at 4:35 PM when will it reach city B

Q.3 A book seller sold half of his books on Sunday, he sold 8 books on Monday. Now there are only 20 left . How many books were there when he opened his store on Sunday?

Q.4 You are 9th in a queue to buy tickets for a movie show. If each person takes 2 minutes to buy the ticket. How long will you have to wait to buy the tickets?

Q.5 What fraction of 70 is 30/100 of 50 ?

Divisibility rules

A number is divisible by

2 - If the last digit is even (0,2,4,6,8)
3 - If the sum of the digits is divisible by 3
4 - If the last 2 digits are divisible by 4
5 - If the last digit is 0 or 5
6 - If the number is divisible by both 2 and 3
7 - If you double the last digit and subtract it from the rest of the number and the answer is: 

• 0, or
• divisible by 7

8 - The last three digits are divisible by 8
9 - The sum of the digits is divisible by 9
10 - The number ends in 0
11 - If you sum every second digit and then subtract all other digits and the answer is:

• 0, or
• divisible by 11

12 - The number is divisible by both 3 and 4

Geometry - Cheat sheet

1. Acute Angle : An angle whose measure is between 0 and 90 degree
2. Obtuse Angle : An angle whose measure is greater than 90 but less than 180 degree
3. Right Angle : An angle whose measure is 90 degree
4. Straight Angle : An angle whose measure is 180 degree
5. An angle whose measure is 2 right angle is a straight angle
6. The sum of all angles of a triangle is 180 degree
7. An interior angle is an angle inside a shape
8. An Exterior Angle is the angle between any side of a shape, and a line extended from the next side
9. The sum of exterior and interior angle is 180 degree
10. The side opposite to the right angle of a right angled triangle is called Hypotenuse
11. The radius of a circle is half of its diameter
12. The radii of a circle will always have the same length. They start from the center of the circle and ends on the circumference of the circle
13. The diameter of a circle is twice the radius of the circle
14. A chord is a line segment   that joins two points on a curve. In geometry, a chord is often used to describe a line segment joining two endpoints that lie on a circle
15. Any portion of the circumference of a circle is called ARC
16. A chord that passes through the center of the circle is the diameter of the circle
17. Diameter is the longest chord
18. Every diameter is a chord but not every chord is a diameter
19. Every diameter will be of equal length
20. A line segment has 2 end points
21. A ray has one end point and no definite length
22. A line has no end points
23. Divider and scale are used to compare line segments

Prep for Class 4 Maths

1. At the bank, Mr Ghosh requested to withdraw a sum of Rs 98,500. He asks for the money in denominations of Rs 50 . How many notes does Mr Ghosh get ?


2. The distance between Bangalore and Hosur is 1234 KM. A bus makes 132 trips between Bangalore and Hosur . How much distance does the bus travel in all ?

3. How many Rs 500 note can Suman get from Rs 105,820. How much amount will be left?

4. To which number should 89 be multiplied to get 46,903

5. How many minutes are there in 2580 seconds

6. A fruit-seller bought 927,910 mangoes. He found that every 10th mango was rotten. After removing the rotten mangoes , he packed the remaining in 9 boxes. How many mangoes are there in each box

7. A factory in Chennapatna manufactures 340 toys in a day. How many toys the factory will manufacture in a year

8. The diameter of a circle is 20 cm. What is the length of its radius ?

9. The radius of a circle is 10 m. What is the diameter of the circle ?

10. One angle of a triangle measures 135 degree. What type of triangle is it ?

Mock test 2

The difference between the place value of 9 and 0 in 89055 is

A.900 
B.9009
C.9000
D.2000

Which of the following is meaningless

A.XV
B.XIX
C.IXIV
D.XXIV

The product of 2nd multiple of 9 and 12 is

A.108
B.18
C.81
D.216

Joyita read a 420 pages book in 6 days. She read the same number of pages in each day. How many pages did she read

A. 70
B.79
C.20
D.35

Smallest factor of a number is

A.0
B.1
C.the number itself
D.01

Find the missing number

2,4,8,32,256,?

A. 8192
B.9876
C.56
D.356

What makes a wholes

A. 2 Halves
B. 3 fourths
C. 5 thirds
D. 2 fourths

Mock test 1

I have prepared this short mock test for Jheel. Thought to share with all.

Mock Test - IMO 4

Try this out...

Last month Chota Bheem worked hard in the King's stable. He took good care of the horses . The King was very happy and rewarded Chota Bheem with 90 coins. That delighted Chota Bheem and he decided to buy some marbles with those coins. He went to the market and asked the shopkeeper to give him marbles in exchange of the 90 coins. The shopkeeper said

"Bheem, one marble will cost you Rs 5 but I will give you 50% discount on every fifth marble"

Now tell me how many marbles could Chota Bheem buy from the shopkeeper.