挑战一下新加坡奥数竞赛题？

本期我们来挑战一下#新加坡##奥数#试题。SASMO是一项在亚洲国家举办的初级数学竞赛，新加坡是参赛国之一。

SASMO考察的是学生综合应用知识的能力，在竞赛中取得优异成绩的考试获得参加国家级奥数竞赛IMO Singapore的入场券。

P4 小学四年级

A frog fell into a drain that was 20 cm deep. After one hour, it mastered enough energy to make a jump of 6 cm but it then slid down 4 cm. If it continued in this manner after every one hour, how many hours will it take to get out of the drain？

P5 小学五年级

Which rule can be used to explain this number pattern?1, 2, 5, 14, 41, 122, 365, ......

a. Add 0, then add 1, then add 2, and so on

b. Multiply by 3 and add 1

c. Multiply by 1, then multiply by 2, then multiply by 3, and so on

d. Multiply by 3 and subtract 1

数学词汇：

pattern 模式

multiply 乘

subtract 减

P6小学六年级

The diagram shows a quadrant OAB of a circle with centre O and radius 7 cm.Given that the perimeter of the rectangle OPQR is 20 cm, find the perimeter of theshaded region. (Take π to be 22/7.)

数学词汇：

quadrant 四分之一圆

radius 半径

perimeter 周长

rectangle 矩形

S1 中学一年级

If and are positive whole numbers such that < and = , find apossible value for and for .

数学词汇：

whole number 整数

positive 正的 +

S2 中学二年级

Find the value of 1/2014+3/2014+5/2014+. . . +2013/2014

S3 中学三年级

Some people are standing equally spaced around a circle, and they were numbered starting from the number 1 in an anticlockwise direction. If the person numbered 17 is directly opposite the person numbered 45, how many people are there?

数学词汇：

anticlockwise 逆时针

direction 方向

opposite 对面的

S4 高中一年级

The diagram shows two overlapping squares. The length of the bigger square is 14 cm and the length of the smaller square is 7 cm. Find the difference between the area of the two unshaded regions X and Y.

数学词汇：

overlapping 重叠的

square 正方形

length 长度

difference 差

area 面积

unshaded region 非阴影部分

SASMO赛事的设立初衷是让更多孩子喜欢上数学，培养数理逻辑能力，难度适中，让你的孩子也试试。欢迎在评论区留言，讨论你的答案。