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发表于 30-7-2016 05:51:55|来自：新加坡
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本帖最后由 nansyxu 于 30-7-2016 05:59 编辑
以下是我在kiasu找到曾经贴出的例题。 我家没咋推，没什么这方面的经验。 等孩子 过了第一轮， 有些补习学校有几周的关于第二轮特训。
1. In a group of children, the mean age of the children is 10 years. If the mean age of the 8 boys was 15 years, the mean age of the girls was 6 years. How many children were there altogether?
2. 44 boys and 47 girls want to school camp. The pupils were put into groups. There was an equal no. Of pupils in each group. The number of groups is larger than the number of pupils in each group.
A) how many groups were there?
In each group, the no of boys was 1 more or1 less than the no of girls,
B) how many groups had more girls than boys?
1。18 pupils
2-1。7 groups
2-2。5 groups
some information is missing.. for eg. For A) it can be either 7 groups of 13 children or 13 groups of 7 children
B) For 13 groups with 7 children each, each group will have either 4 boys/3 girls or 3 boys/4 girls
44 boys --> 44/13 = 3R5. So, there are 5 groups with 4 boys/3 girls and 8 groups with 3 boys/4 girls ie 8 groups with more girls.
For 7 groups with 13 children each, each group will have either 7 boys/6 girls or 6 boys/7 girls.
44 boys --> 44/7 = 6R2. So, there are 2 groups with 7 boys/6 girls and 5 groups with 6 boys/7 girls ie 5 groups with more girls.
Challenging Questions
1. In the number pattern below, in which row and which column will the number 2012 appear? (For example, 23 is on the 3rd row and in the 5th column.)
1 2 9 10 25
4 3 8 11 24
5 6 7 12 23
16 15 14 13 22
17 18 19 20 21
2. The "PLK number" is a positive integer which is both triangular number and square number. For example, 36 is a "PKL number" since 36 = 1+2+3+...+8 (triangular number) and 36 = 6 x 6 (square number). What is the next "PKL number" which is greater than 36?
*Note: A "triangular nnumber" is the sum of the consecutive positive integers beginning with 1, such as 1, 3=1+2, 6=1+2+3, 10=1+2+3+4, etc. A "square number" is the product of a positive integer multiplied by itself, such as 1=1x1, 4=2x2, 9=3x3, 16=4x4, etc
1) 1 cat can catch 2 mice in 3 days. How many cats are needed to catch 100 mice in 30 days?
(2) A and B started at the same point and walked in opposite directions.For every 20 metres A walked, B walked 12 metres. If A walked 1 km, what was the total distance between them ?
(3) This question came with a diagram. It was a square with 2 diagonals crossed at the centre of the square. The length of each diagonal of the square was 8 cm. Find the area of the square.
祖父70岁，三个孙子5，15，20岁， ...
在网上找了一道以往考过的题：
1. SNEAK
The above word can be transformed into another word. which of the following words can be transformed into a new word
through the same rule?
A) gleam
B) number
C) price
D) other
E) great
SNEAK --> SNAKE
GREAT --> GRATE
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