2023年新加坡六年级国际数学竞赛试题(图片版,含答案)

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2023年新加坡六年级国际数学竞赛试题(图片版,含答案)

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1.[问答题]The large square below is made up of4 identical right-angled
triangles and 1 small square.The length of the large square is 20 cm.If the sum
of the length of two small sides of the right-angle triangle is 28 cm,find the area
(in cm2)of the small square.
下面的大正方形是由4个相同的直角三角形和一个小正方形组成的。大正方形的边长是20
厘米。如果直角三角形的两条直角边的长度之和为28厘米,求小正方形的面积(单位:
平方厘米)。
2.[]David uses the digits 1,2,3,5,7 and 8 to form a four-digit multiple of
12.If he does not use any of the digits more than once,what is the greatest four-
digit multiple of 12 David can form
大卫用数字1、2、3、5、7和8组成四位数的12的倍数。如果他使用任何一个数字都不超
过一次,那么大卫能组成的12的倍数中,最大的四位数是多少?
3.[]In the following cryptarithm,all the different letters stand for different
digits.If D is an odd digit,what is the value of the sum S+A+S+M+O
在下面的密码图中,所有不同的字母代表不同的数字。如果D是一个奇数,那么S,A,
S,M,O之和是多少?
2023
+A WA R D
SA SMO
4.[问答题]How many squares are there in the figure below
下图中共有多少个正方形?
5.[问答题How many3-digit numbers are divisible by6and9
有多少个三位数能被6和9整除?
6.[问答题]
Peter had 525 more nails than screws.He used an equal amount of screws and nails
to construct a wooden cupboard.If he is left withof the number of screws andof
the number of nails,how many nails did Peter have at first
彼得的钉子比螺丝多525颗。他用等量的螺丝和钉子来建造一个木柜。如果他剩下的
螺丝和的钉子,那么彼得一开始有多少钉子?

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