ITMC - Lớp 4 (Đề 3)

There are 5 buildings A, I, T, M, C at the top of each building has bridges connected between buildings as shown in the figure.

Now, a girl stays at the top of building A.

How many way sare there that she walks with the bridge to visitall building exactly once?

• 10

• 6

• 18

• 14

• 12

Let x₁, x₂ , … , x8 be positive integers such that x₁  < x₂

and x₁ + x₂  = 3,  x₂  + x₃  = 5, x₃ + x₄  = 7,  x₄ + x₅  = 11, x₅ + x₆  = 13,  x₆ + x₇ = 17 and

x₇ + x₈ = 19 .

Which one of the following is the largest value?

• x₅

• x₆

•  x₇

• x₈

• Cannot be determined

  Wilson plays a game of darts with six darts. On the target shown each circle has a different score. He will get the points that specified in each circle if a dart into the target and will not get score when a dart out of the target

If Wilsongets 51scores, then what is the least number of darts that he has to throw into the target?

• 1

• 2

• 3

• 4

• 5

  Let I, T, M, C be four distinct positive integers such that the sum of them is 10 and I isthe smallest integer in these four integers. Find the maximum value of the expression

(I x Tx M x C) + (I x T x M ) + (I x M x C) + (T x C x M ) + (Tx M xC)

A sequence of positive integer where n^th number of the sequence is written all first n positive integers consecutively.

The 1^st number is 1

The 2^nd number is 12

The 3^rd number is 123

The 4^th number is1234

The 5^th number is 12345

The 6^th number is123456

. . . Continues this pattern

Find the smallest two-digit positive integer k such that the k^th number in the sequence is divisible by 8.

  Fermat is a nice female dog who loves to eat snack. There is a track with a rectangular shape of 4 ´ 5 in which the dog can only walk along the boundary line as shown. Each small rectangle has sides 12 meters long and 5 meters wide.The trainer places a piece of snack at the intersection of the edges on the grid.  Then let Fermat to start at point A. (no a piece of snack at A). When the timer starts, Fermat walk along the edges of this grid, and every time she arrives at a piece of snack she spend 1 minute to eat it and then walking to find the next one. Assume that the speed of walking along the edge of Fermat is a constant at 20 meters per minute. What is the shortest possible time that Fermat takes to eat all snacks in the grid?

The number of students in a class is more than 15 students but less than 40 students.Exactly one fourth of the class knows to play chess. On a certain day 6 students were absent. From the remaining exactly one tenth knew to play chess.

If among the absentees have n students knew to play chess, then find the sum of all possible values of n.

  There are 80 boxes, each containing a different number of coins from 1 to 80 coins. An operation is that we must select at least one box and take the same number of coins from every selected box.

 For example, the first of the operation students may select the boxes containing 10 to 30 coinsand remove 10 coins from each of the 21 selected boxes. Find the smallest number of operations that we have to do so that every coin is taken out of every box. This will make all boxes to be empty.

1.   Given that N = 7 + 0.7 + 0.07 + 0.007. Which one of thefollowing statements is true?

• The value of N is 2.777 greater than 5

• The value of N is 7.077.

• The value of N is 0.777.

• The value of N is 2.23 less than 10.

• The value of N is greater than 6 but less than 7.

The number of population in city T is 12,345,678 and in city M is 8,765,432.

The number of population in city C is 7,777 greater than the difference of the number of population in city T and M.

What is the number of population in city C?

• 21,103,333

• 3,588,023

• 3,572,469

• 3,456,782

• 3,287,654