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2017澳洲AMC小學高年級組英文試題

24. In this year of 2017, my family is in its prime: I am 7, my brother is 5, my mother is 29 and my father is 31. All of our ages are prime numbers. What is my father’s age the next year that my family is in its prime, when all of our ages are again prime?

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2017澳洲AMC小學高年級組中文試題

(A) 全部都是 (B) 只有圖案 3 (C) 圖案 3 與圖案 4 (D) 圖案 1 與圖案 3 (E) 全部都不是 6. ⼩蜜住在離校 4 km 的地⽅；⼩娜住在與校的距離恰為⼩蜜的住 處與校的距離之三倍，⽽⼩甌的住處距離校恰⽐⼩娜的住處距 離校還近 3 km。請問⼩甌住在離校多遠的地⽅？

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2017澳洲AMC小學中年級組英文試題

In the 4 by 4 square shown, I am filling in the 16 small squares with the numbers 1, 2, 3 and 4 so that each row and each column has one of each of these numbers... I have a rectangular [r]

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2017澳洲AMC中學高級組英文試題

1 8 22 22 43 43 43 What is the smallest n for which 2017 is in the sequence of centred n-gon numbers? 29. A friend and I play a game. We each start with two coins. We take it in turns to toss a coin; if it comes down heads, we keep it, if tails, we give it to the other. I always go first, and the game ends when one of us wins by having all four coins.

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2018澳洲AMC小學高年級組英文試題

Jan walks at a steady pace in the opposite direction and meets Jill every 56 seconds. How long does it take Jan to walk each circuit[r]

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2017澳洲AMC中學初級組英文試題

19. Farhad, Greg and Huong were dismantling their marble madness machine and had 2017 marbles to share. They split them so that Farhad had exactly twice as many as Greg, and Greg had twice as many as Huong, with as few left over as possible. How many marbles were in Farhad’s share?

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2017澳洲AMC中學中級組英文試題

1 8 22 22 43 43 43 What is the smallest n for which 2017 is in the sequence of centred n-gon numbers? 29. I have a large number of toy soldiers, which I can arrange into a rectangular array consisting of a number of rows and a number of columns. I notice that if I remove 100 toy soldiers, then I can arrange the remaining ones into a rectangular array with 5 fewer rows and 5 more columns.

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2017澳洲AMC中學高級組中文試題

1 8 22 22 43 43 43 若實⼼正 n 邊形數數列中，其中有⼀項為 2017，請問 n 的最⼩可能值是多少？ 29. 我與⼀位朋友玩⼀種遊戲。每⼀局開始時我們都各有兩枚硬幣，我們輪流投擲⼀ 枚硬幣。若擲出正⾯，則我們可保留此枚硬幣；若擲出反⾯，則將此枚硬幣給對

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2018澳洲AMC小學中年級組英文試題

Warren drew two large squares that overlap to form the hexagon shown.. Beginning with a row of 20 coins, Anh takes the first coin, then every fourth coin after that.[r]

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2018澳洲AMC中學高級組英文試題

However, Donald wants the left shoe of each pair to be somewhere to the left of the corresponding right shoe.. How many ways are there to do this.[r]

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2018澳洲AMC中學初級組英文試題

Leila has a number of identical square tiles that she puts together edge to edge in a single row, making a rectangle.. The perimeter of this rectangle is three times that of a single til[r]

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2018澳洲AMC中學中級組英文試題

Four of the diagrams below show this object viewed from diﬀerent angles, but one diagram shows a diﬀerent object... Allan and Zarwa are playing a game tossing a coin.[r]

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