狼姥姥每日一题 - 数学 Problem solving （25-6-2012）:D :D

狼姥姥

[tr][td]本帖最后由 狼姥姥 于 2012-5-27 20:24 编辑

经常有些朋友问些关于小龙女做些什么数学题。这几天想了一下，有个提议，我把小龙女做过的problem solving放坛子上，也希望各位家长把你们孩子的题也放上来，互相交流，互相换题

我知道坛子里有很多教数学的高手，希望大家多多赐教，多多参与，把答案，解题过程等放上来，互相参考呗

题也不分什么容易啊简单啊，随机抽放。

一直以来我都认为多做一些数学题对大脑发育有很大帮助，而且数学是所有理科的基础，通过这个平台，也可以让你的孩子，每天做一题，来提高他们的数学运算能力和思考能力，孩子还小的家长，现在就可以热热身。 声明，不可以用方程来解。

20.05.2012

老师出了30道问题，答对一道给5分，打错一道扣10分。小龙女 （）得了90分，问她错了几道题。


[/21.05.2012

a truck carries newspapers.
when the truck is half full of newspapers the truck has a mass of 1762kg. when it is a quarter full the truck has a mass of 1426kg.
what is the mass of the truck when it is full of newspaper?
一货车运报纸
货车装满一半的时候，体重为1762kg. 货车装了1/4,体重1426kg. 请问货车装满报纸是多少公斤？



]22.05.2012

Uma has cubes that come in two different sizes. She makes a stack of 7 small cubes and a stack of 5 large cubes. The two stacks are the same height.

A  large cube is 6 millimetres taller than a small cube.

What is the height of one stack, in millimetres?

23.05.2012
a number has 3 digits. when it is divided by 6 or 7 it leaves a remainder of 1. when it is divided by 8 or 11, it leaves a remainder of 7. what is the largest such number?



24.05.2012

小龙女有24件衣服，其中14件没有口袋，15件短袖，有6件长袖带口袋，问小龙女有几件不带口袋的短袖。


26.05.2012

in a school of 600 students, 320 study korean, 270 study thai and 110 study german.

there are 150 students who study only two languages: 60 students study korean and thai, 50 students study thai and german, and 40 students study german and korean.

at most how many students study all three language?


]27-05-12
马大姐正在攒钱买一件东西。她只有一块和两块钱硬币。她的两块钱的硬币数量是一块钱的两倍。如果她有70元钱，她有多少枚一块钱硬币？
Revenge is sweet!!!!

28.05.12
小龙女can make 2 pies in 3 minutes
马大姐can make 3 pies in 2 minutes

]how many pies can they make together in an hour?
(yes jo, revenge is sweet..... SHB rulz....anyday....even when it comes to making pies)



29.05.12
A group of friends shared 108 chocolates equally, the number of chocolates each friend got was three more than the number of friends. How many chocolates did each friend get?



30-05-12
马大姐is walking up a set of stairs. She stops when she is 5/8 way through. Then she walked another nine steps. This time she is 3/4 way up. How many steps are there in total on the stairs?

31.05.12
at the local swimming pool it costs $1 to hire a towe and 60c to hire a deckchair. rebecca hired some of each and spent $5.80 altogether. how many towels and deckchairs did she hire?

01-06-12
One morning Luisa Noor and Manling counted their pencils. They found that Luisa had three times the number pencils that Manling had Noor had twice the number that Manling had.
By the end of the day,Noor had lost four pencils,and had 34 pencils left.
How many pencils did Luisa have on that morning?

05-06-12
A father and son have the same birthday.In 2001 the father was 42 and the son was 11.In what year will the father be exactly twice as old as his son?

8-6-12
A clock is correctly set at three pm. It looses two minutes every hour. What will the clock read when the correct time is 10pm the next day?

09-06-12
How many two-digit numbers are there in which the tens digit is greater then the ones digit?

cindyppz

啦啦啦~~ 比你快一步 嘿嘿

狼姥姥

刚才ipad打完都是乱码。。。。。。。。绝对是电脑而不是人脑的问题。。。。。

aaa.s

刚算了下题，10多年没有碰过数学了，还好这个基本的还是会解，以后还能教下宝宝，我真担心解不出来啊{:8_480:}

mychloe

x is right answer, y is wrong answer
x + y = 30
5x-10y=90
y=4

aucklandlady

试答如下：
如果答对所有30道题，就可得30x5 = 150分，如果错一道就是29x5-10=135， 相比就是错一道题扣15分， 90分比150少60分， 所以说错了4道题。

MyLittleSky

不答得0分还是扣分?

允许用x解题吗? 国内小学的奥数题经常不让用...

狼姥姥

mychloe 发表于 2012-5-20 21:57
x is right answer, y is wrong answer
x + y = 30
5x-10y=90

不好意思，这个是小学部分，不可以用方程，忘了说明了。

felicia8585

刚算了下题，10多年没有碰过数学了，还好这个基本的还是会解，以后还能教下宝宝，我真担心解不出来啊

我想的也一樣!

cindyppz

占座+捣乱的飘过~~~~

dolphin99

請問一下為什麼小學不讓用方程解題啊？不是只要做出來就好末？

狼姥姥

dolphin99 发表于 2012-5-21 02:01
請問一下為什麼小學不讓用方程解題啊？不是只要做出來就好末？

因为是给小学生做的，他们还没有学到方程，当时女儿把题拿回来时说，这道题是老师给的，女儿只猜出答案，但没有一个学生能说出解题的方法，老师也只能说出答案，不知道怎样解，据说那个老师被称为queen of maths 是个印度人，所以我只能用小孩能理解的方试来教给她。

tasselack2011

那就只能假设28题对，2题错是几分，26题对，4题错是几分这样慢慢算下来了

cindyppz

tasselack2011 发表于 2012-5-21 10:42
那就只能假设28题对，2题错是几分，26题对，4题错是几分这样慢慢算下来了

其实你说的guess and check是属于小学problem solving非常常见的一种strategy. 虽然方法有些笨，不过有利于孩子see a pattern.

finding patterns在后期数学的前奏非常重要

tasselack2011

cindyppz 发表于 2012-5-21 10:49
其实你说的guess and check是属于小学problem solving非常常见的一种strategy. 虽然方法有些笨，不过有利 ...

等儿子回来考考他。。。。

狼姥姥

今天弄个简单一点的~

tony1025

2434 对么``````````````````

cindyppz

tony1025 发表于 2012-5-21 20:43
2434 对么``````````````````

你咋又跑这边来啦？沙漠里的探险者等着你拯救呢。。。

我12岁妹妹也算出来啦~~ 赶快去算去

felicia8585

我的答案也是2434kg

wangly

2434...,,/////////////////

tony1025

cindyppz 发表于 2012-5-21 21:13
你咋又跑这边来啦？沙漠里的探险者等着你拯救呢。。。

我12岁妹妹也算出来啦~~ 赶快去算去

题目没有看明白啊 你把题目审核下 题目好像有点问题····

cindyppz

tony1025 发表于 2012-5-21 21:34
题目没有看明白啊 你把题目审核下 题目好像有点问题····

没问题的~~

一个探险者可以带托运工。每个人可以带4天的吃喝，可是旅行者要通过的沙漠是6天的行程.探险者至少带几个托运工才能通过？

tony1025

cindyppz 发表于 2012-5-21 21:38
没问题的~~

一个探险者可以带托运工。每个人可以带4天的吃喝，可是旅行者要通过的沙漠是6天的行程.探险 ...

4天的吃喝 是旧搬运工自己吃喝么   还有搬运工是不是也一起走完六天行程啊

cindyppz

tony1025 发表于 2012-5-21 21:43
4天的吃喝 是旧搬运工自己吃喝么   还有搬运工是不是也一起走完六天行程啊

每个人都可以带4天吃喝，不过搬运工不一定要走完六天哦！

狼姥姥

tony1025 发表于 2012-5-21 21:34
题目没有看明白啊 你把题目审核下 题目好像有点问题····

友情堤示一下，要么让搬运工中途回去，要么杀了他，哈哈哈……{:7_375:}

tony1025

cindyppz 发表于 2012-5-21 21:45
每个人都可以带4天吃喝，不过搬运工不一定要走完六天哦！

可以解了 工人们 我 来救你了~···

cindyppz

狼姥姥 发表于 2012-5-21 21:45
友情堤示一下，要么让搬运工中途回去，要么杀了他，哈哈哈……

你。太。狠。了。。。。

tony1025

cindyppz 发表于 2012-5-21 21:45
每个人都可以带4天吃喝，不过搬运工不一定要走完六天哦！

带2个就够了 如果旅行的自己带4天的话