z Do not open the contest booklet until you are told to do so.
z Be sure that your name and code are written on the space provided above.
z Round 2 of IMAS is composed of three parts; the total score is 100 marks.
z Questions 1 to 5 are given as a multiple-choice test. Each question has five possible options marked as A, B, C, D and E. Only one of these options is correct.
Do not open the contest booklet until you are told to do so.
Be sure that your name and code are written on the space provided above.
Round 2 of IMAS is composed of three parts; the total score is 100 marks.
Questions 1 to 5 are given as a multiple-choice test. Each question has five possible options marked as A, B, C, D and E. Only one of these options is correct.
Do not open the contest booklet until you are told to do so.
Be sure that your name and code are written on the space provided above.
Round 2 of IMAS is composed of three parts; the total score is 100 marks.
Questions 1 to 5 are given as a multiple-choice test. Each question has five possible options marked as A, B, C, D and E. Only one of these options is correct.
Do not open the contest booklet until you are told to do so.
Be sure that your name and code are written on the space provided above.
Round 2 of IMAS is composed of three parts; the total score is 100 marks.
Questions 1 to 5 are given as a multiple-choice test. Each question has five possible options marked as A, B, C, D and E. Only one of these options is correct.
z Do not open the contest booklet until you are told to do so.
z Be sure that your name and code are written on the space provided above.
z Round 2 of IMAS is composed of three parts; the total score is 100 marks.
z Questions 1 to 5 are given as a multiple-choice test. Each question has five possible options marked as A, B, C, D and E. Only one of these options is correct.
When your teacher gives the signal, begin working on the problems.
I I nt n te er rn na at t io i on n al a l M Ma at t he h em ma at ti i cs c s A A ss s se es ss sm me en n ts t s f fo or r S Sc ch ho oo ol ls s
2017JUNIORDIVISION FIRST ROUND PAPER Time allowed:75 minutes
To form a centrally symmetric picture by adding some white squares but no black squares, what is the least number of white squares needed.. 【Solution】.[r]
Do not open the contest booklet until you are told to do so.
Be sure that your name and code are written on the space provided above.
Round 2 of IMAS is composed of three parts; the total score is 100 marks.
Questions 1 to 5 are given as a multiple-choice test. Each question has five possible options marked as A, B, C, D and E. Only one of these options is correct.
Do not open the contest booklet until you are told to do so.
Be sure that your name and code are written on the space provided above.
Round 2 of IMAS is composed of three parts; the total score is 100 marks.
Questions 1 to 5 are given as a multiple-choice test. Each question has five possible options marked as A, B, C, D and E. Only one of these options is correct.
Record your answers on the reverse side of the Answer Sheet (not on the question paper) by FULLY filling in the circles which correspond to your choices.. Your Answer Sheet will be read[r]
When your teacher gives the signal, begin working on the problems.
I I nt n te er rn na at t io i on n al a l M Ma at t he h em ma at ti ic cs s A A ss s se es ss sm me en n ts t s f fo or r S Sc ch ho oo ol ls s
2018 JUNIORDIVISION FIRST ROUND PAPER Time allowed:75 minutes
Record your answers on the reverse side of the Answer Sheet (not on the question paper) by FULLY filling in the circles which correspond to your choices.. Your Answer Sheet will be read[r]
Record your answers on the reverse side of the Answer Sheet (not on the question paper) by FULLY filling in the circles which correspond to your choices.. Your Answer Sheet will be read[r]
【Solution】
If all pieces were placed into black squares, there are two ways to put the pieces on the first and the third row, two ways to put the pieces on the second and the fourth row, totally there are 4 ways. Similarly, there are 4 ways to place all pieces into white squares. Hence there are 8 ways in total.
We know the prime factor of each n 193 , 194, 197, 199, 201, 202 and 203 is greater than 20 and they are 193, 97, 197, 199, 67, 101 and 29; respectively, which cannot be the product of the second group.
When n 195 , one of the prime factors of n is 13, the second group must contain the number 13, so the sum of all numbers after removing from the second group will be
If the addition and the subtraction are performed consecutively, they will cancel out. The same applies to the multiplication and the division. To obtain a value other than 10, we must alternate the first pair with the second. Thus we only have to examine eight cases:
We first find all the possible number of ways of forming the 4-digits numbers that satisfies that condition of the problem , and then subtracting the cases where 0 is in the thousands [r]
(A)12 (B)18 (C)24 (D)30 (E)36
【Solution 1】
From the given information, one student will participate in two events and each of other two students participate on exactly one event. Let the student (the one will participate in 2 events) choose the events that he wants to register, then there are 4 ways of registering the two events, follow by the first student with one event has 3 ways to register his event, the second student with one event has also 3 ways to choose his event. Thus, the total number is 3 4 3 × × = 36 ways of participating.
Do not open the contest booklet until you are told to do so.
Be sure that your name and code are written on the space provided above.
Round 2 of IMAS is composed of three parts; the total score is 100 marks.
Questions 1 to 5 are given as a multiple-choice test. Each question has five possible options marked as A, B, C, D and E. Only one of these options is correct.
Do not open the contest booklet until you are told to do so.
Be sure that your name and code are written on the space provided above.
Round 2 of IMAS is composed of three parts; the total score is 100 marks.
Questions 1 to 5 are given as a multiple-choice test. Each question has five possible options marked as A, B, C, D and E. Only one of these options is correct.