Top PDF 2018IMAS First Round Middle Primary Division Problems

2018IMAS First Round Middle Primary Division Problems

2018IMAS First Round Middle Primary Division Problems

22. How many ways can we divide 6 students into 3 groups so that each group has exactly 2 students? 23. In the figure below, ABCD, EFGH and AJKL are squares. The area of AJKL is 2018 cm 2 . If rectangles EFCI and JBFK both have an area of 1360 cm 2 , then what is the area, in cm 2 , of CGHI?

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2017IMAS First Round Middle Primary Division Problems

2017IMAS First Round Middle Primary Division Problems

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]

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2014IMAS First Round Middle Primary Division Problems

2014IMAS First Round Middle Primary Division Problems

22. The area of a triangle is 50 cm 2 . Each side is divided into five equal parts, and some pairs of division points are joined as shown in the diagram. What is the total area, in cm 2 of the shaded regions? 23. Oliver arranges his toy ducks and toy turtles in a row as shown in the diagram.

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2015IMAS First Round Middle Primary Division Problems

2015IMAS First Round Middle Primary Division Problems

23. There are two classrooms on each of four floors in the school building, x01 and x02 where x is the floor number. Martial Arts and Drama are on the first floor. Calligraphy and Fine Arts are on the same floor. Music is directly above Fine Arts and Painting is directly above Calligraphy. Modeling is directly above Painting. Neither Martial Arts nor Music is in an odd-numbered room. In which room is Dancing?

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2016IMAS First Round Middle Primary Division Problems

2016IMAS First Round Middle Primary Division Problems

18. Hanna makes four straight cuts on a round cake. Into at most how many pieces can she cut it? (A)8 (B)10 (C)11 (D)12 (E)14 19. Eight children are sharing 61 balloons. Each gets at least one, and everyone receives a different number. What is the smallest number of balloons that can go to the child receiving more balloons than the others?

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2018IMAS Second Round Middle Primary Division Problems

2018IMAS Second Round Middle Primary Division Problems

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.

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2018IMAS First Round Upper Primary Division Problems

2018IMAS First Round Upper Primary Division Problems

Questions 21-25, 6 marks each 21. Mike constructs a sequence in the following way: the first two terms are 1 and 2. Starting from the third term, each term is the smallest possible integer that is not relatively prime to the previous term and has not yet appeared in any of the previous terms. Find the 20 th term of this sequence.

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2018IMAS First Round Middle Primary Division Full Solutions

2018IMAS First Round Middle Primary Division Full Solutions

【Solution】 It is obvious the model is contained in a cube of edge length 3 and contains some of the 27 unit cubes of the large cube. The unit cube in the center has to appear in the model. The cubes at the center of faces of the large cube must not appear. The cubes at the middle of edges of the large cube must not appear. Moreover, one of the two unit cubes at any adjacent corners of the large cube must appear. It is then obvious by pigeonhole principle, one needs at least 5 unit cubes. One such construction is in the figure below.

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2017IMAS Second Round Middle Primary Division Problems

2017IMAS Second Round Middle Primary Division Problems

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.

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2014IMAS Second Round Middle Primary Division Problems

2014IMAS Second Round Middle Primary Division Problems

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.

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2015IMAS Second Round Middle Primary Division Problems

2015IMAS Second Round Middle Primary Division Problems

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.

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2016IMAS Second Round Middle Primary Division Problems

2016IMAS Second Round Middle Primary Division Problems

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.

9 閱讀更多

2016IMAS First Round Upper Primary Division Problems

2016IMAS First Round Upper Primary Division Problems

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]

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2017IMAS First Round Upper Primary Division Problems

2017IMAS First Round Upper Primary Division Problems

14. There are two routes starting in a bus stop. A bus departs for the first route every 8 minutes and departs the second route every 10 minutes. At 6:00 in the morning, two buses depart for the two routes at the same time. Among the choices below, when will the buses depart for the two routes simultaneously?

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2014IMAS First Round Upper Primary Division Problems

2014IMAS First Round Upper Primary Division Problems

22. The inside lane of a track has length 400 m and the outside lane has length less than 500 m. From the marked line, as shown in the diagram, Max and Lynn start running counterclockwise along the track at the same time. Max runs at constant speed on the inside lane. Lynn, whose constant speed is 3 times that of Max, runs on the outside lane. The first time both are back together at the marked line, Max has completed 3 laps. What is the length, to the nearest m, of the outside lane?

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2015IMAS First Round Upper Primary Division Problems

2015IMAS First Round Upper Primary Division Problems

6. From one-third of a positive integer, one-quarter of the next integer is subtracted. If the difference is 2, what is the sum of the two integers? (A)31 (B)45 (C)55 (D)79 (E)103 7. The diagram below is the seating plan of a cinema. How many blocks of three adjacent seats are unshaded, not counting those in the first row?

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2017IMAS First Round Middle Primary Division Full Solutions

2017IMAS First Round Middle Primary Division Full Solutions

【Solution】 From the given figure, we discovered the beads are arranged as: W, B, W, W, B; which is in a period of 5. Since 97 = × + 5 19 2 , there are 19 complete periods with a remaining of first two beads in a period. There are two black beads in each period and one black beads among the first two beads of a period. Thus, the total number of black beads is 2 19 1 39 × + = .

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2014IMAS First Round Middle Primary Division Full Solutions

2014IMAS First Round Middle Primary Division Full Solutions

Answer:(C) 15. The diagram shows a cubical die moving on a 1 by 8 board by tilting over an edge. The number on the face touching the board is imprinted on that square of the board. The numbers in the first four squares are 4, 1, 2 and 5. What is the total of all eight numbers?

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2015IMAS First Round Middle Primary Division Full Solutions

2015IMAS First Round Middle Primary Division Full Solutions

Answer:027 23. There are two classrooms on each of four floors in the school building, x01 and x02 where x is the floor number. Martial Arts and Drama are on the first floor. Calligraphy and Fine Arts are on the same floor. Music is directly above Fine Arts and Painting is directly above Calligraphy. Modeling is directly above Painting. Neither Martial Arts nor Music is in an odd-numbered room. There is a

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2016IMAS First Round Middle Primary Division Full Solutions

2016IMAS First Round Middle Primary Division Full Solutions

【Solution 1】 In order to get the smallest number of balloons that can go to the child receiving more balloons than the others, the other seven children should get as many balloons as possible. Suppose the eight children receive 1, 2, 3, 4, 5, 6, 7 and 8 balloons first and hence they get totally 1 2 + + + + + + + = 3 4 5 6 7 8 36 balloons. There are still

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