ASMO MATH Qu1

The birthdays of two sisters are on the same day. The elder sister is 4 years older than the younger sister. When the sum of thier ages reaches 50 years, how old is the younger sister?

• 15 years old

• 23 years old

• 25 years old

• 20 years old

How many zeros are there in the end of the product of 20x30x40x50?

(a)  

How many different triangles can be found in the diagram?

• 5

• 6

• 4

• 7

Some students form a rectangle. Joseph is in the fourth row if we count from the front and in the seventh row if we count from the back. He is in the third column if we count from left and in the ninth colimn if we count from the right. How many students are there?

(a)  

The mirror image of a mathematical expression reads

What is the correct difference?

• 48

• 88

• 84

• 68

A man walked 6 meters forward, 4 meters backward, 7 meters forward, 8 meters backward, anf then it rests. How many meters apart are the current position and the initial position of the man?

(a)  

Altogether, there are 240 books owned by 4 children. If A gives B 3 books, B gives C 4 books, C gives D 5 books and D gives A 6 books. Then each has the same number of books. Initially, how many books belong to the child with the least number of books?

(a)  

Zachary has a computer program which accepts an input and produces an output. Some of the data are shown in the table below?

(a)  

In an art class, the teacher presented shaped patterns. Whats is the 99^th patterns of she continued drawing?

• 
• 
• 
• 

Hanna divides a circular piece of paper into 5 regions as shown in the diagram. She wants to paint each region using a color so that two regions sharing a common side with different colors. What is smallest number of colors she needs?

• 3 types

• 4 types

• 5 types

• 6 types