Find the remainder when the 2011^th term of the sequence below is divided by 9

1, 2, 6, 16, 44, 120, 328, 896, …

Observe the number pattern below:

121, 12 321, 1 234 321, 123 454 321, …

What number is the 5^th term ?

How many numbers from 1 to 80 are divisible by 3, 4 and 5 ?

Among 100 club members, 56 likes to play tennis and 74 like to swim. At most how many of these club members like both sports ?

Class 5J has 42 students. 18 of them enjoy swimming, 14 of them enjoy cycling and 6 students like both activities. How many students do not like either activity ?

Among the Primary 5 students who took part in the final examination, 45 of them scored distinction for mathematics. 78 students scored distinction for English, 38 of them scored distinction for both subjects and 64 students did not get distinction for their subject. How big was the cohort of Primary 5 students ?

Among 100 people who are being interviewed, 68 like music and 75 like sports. How many people like both music and sports ?

How many numbers ranging from 1 to 100 are not multiplies of 3 and not divisible by 7 ?

30 out of a group of 40 students completed their mathematics homework. 25 students completed their science homework.

How many students completed both homework ?

A staircase has 10 steps. How many ways are there for Tommy to walk from the first step to the 10^th step if either 2 or 3 steps are taken each time ?

A survey was made on 250 studens on their preferred school activities: badminton, volleyball and basketball. 140 of them liked badminton, 120 of them liked volleyball and 100 of them liked basketball. 40 of them liked both badminton and volleyball but not basketball. 20 of them liked badminton and basketball but not volleyball. How many liked both volleyball and basketball but not badminton, given 10 liked all three activities ?

Among 64 students, 28 of them like Science, 41 like Mathematics and 20 like English. 24 of them like both Mathematics and English. 12 students like both Science and English. 10 students like both Science and Mathematics. How many students like all the three subjects ?

Một người phải đi từ A đến B trong 5 giờ. Lúc đầu, người đó đi với vận tốc 30km/giờ. Khi còn 75km nữa thì được nửa đường, người đó đi với vận tốc 45km/giờ để kịp B đúng dự định. Tính quãng đường AB ?

Một người đi từ A đến B. Người đó tính rằng nếu đi với vận tốc 40km/giờ thì đến B sau giờ hẹn là 20 phút, còn nếu đi với vận tốc 60km/giờ thì đến B trước giờ hẹn là 10 phút. Tính quãng đường AB ?

Một ô tô đi từ A đến B với vận tốc 40km/giờ. Trên đường về từ B về A, sau khi đi $\frac{1}{3}$ quãng đường với vận tốc cũ, ô tô dừng lại chữa trong 30 phút. Muốn thời gian tù B về A vẫn bằng thời gian từ A đến B, ô tô phải đi tiếp với vận tốc 60km/giờ. Tính quãng đường AB ?