Tài liệu luyện thi Toán học quốc tế TIMO Khối 3

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Tài liệu luyện thi Toán học quốc tế TIMO Khối 3
 Topic: Pascal 
 1 
 1 2 1 
 1 3 3 1 
 1 4 6 4 1 
 1 5 10 10 5 1 
Practice 1: The map below shows different ways that Mickey can go from home to 
school. Given that he can only move northwards or eastwards, how many ways are 
there? 
Practice 2: How many ways are there from A to B given that each step you can 
only move up or move right along the lines? Practice 6: If Alice goes from point A to point B, each step can only move up or 
move right. How many way(s) is / are there? 
Practice 7: If Andy goes from point B to point A, each step can only move down or 
move left. How many way(s) is/ are there? 
Practice 8: If Andy goes from point A to point B, each step can only move up or 
move right. How many way(s) is / are there? Practice 12: If Andy goes from point A to point B, each step can only move up or 
move right. How many way(s) is / are there? 
Practice 13: If Andy goes from point A to point B, each step can only move up or 
move right. How many way(s) is / are there? 
Practice 14: If Andy goes from point B to point A, each step can only move down 
or move left. How many way(s) is/ are there? Practice 18: Andy goes from point A to point B. Each step he can only move up or 
move right. How many ways are there? 
Practice 19: If Andy goes from point A to point B, each step can only move up or 
move right along the line. How many way(s) is / are there? 
Practice 20: If Alice goes from point A to point B, each step can only move up or 
move right. How many way(s) is / are there? Topic: Pascal 
Practice 1: A flight of stairs has 5 steps. Mary can go up for 1 step or 2 steps each 
time. How many ways are there for Mary to go up the stairs? 
Practice 2: A flight of stairs has 6 steps. David can go up for 1 step or 2 steps at a 
time. How many ways are there for David to go up the stairs? 
Practice 3: A flight of stairs has 7 steps. David can go up for 1 step or 2 steps each 
time. How many way(s) is / are there for David to go up the stairs? 
Practice 4: A flight of stairs has 9 steps. Peter can go up for 1 step or 3 steps each 
time. How many way(s) is / are there for Peter to go up the stairs? 
Practice 5: A flight of stairs has 10 steps. David can go up for 1 step or 2 steps at a 
time. How many ways are there for David to go up the stairs? 
Practice 6: A flight of stairs has 11 steps. Bobby can go up for 1 step or 2 steps each 
time. How many way(s) is / are there for Bobby to go up the stairs? 
Practice 7: A flight of stairs has 11 steps. Peter can go up for 1 step or 3 steps each 
time. How many way(s) is / are there for Peter to go up the stairs? 
Practice 8: A flight of stairs has 8 steps. Mary can go up for 1 step or 2 steps each 
time. The 5th step cannot be stepped on as it is destroyed. How many way(s) is / 
are there for Mary to go up the stairs? 
Practice 9: A flight of stairs has 6 steps. David can go up for 1 step, 2 steps or 3 steps 
each time. How many way(s) is / are there for David to go up the stairs? 

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