5魂/Holy/Hardcore/Hiong
You name it, we've got it.
ying2.shitla.yaoyao.hellokitty.farah.cartmen.yimin.quek.songyi.twistie.vikky.愛.sheryltoheh.bong.
carhole.mooger.wtSEE.available.kia.critias.condom.sally.soh.yihua.suzanna.wangzihao.will.i.am.jiachen.DR.Alien.Chua
yingying.sheila.yaoqin.panyin.farah.nicole.yimin.qiyuan.songyi.kristie.victoria.iris.sheryl.rachel. kahhoe.acer.lianghui.shenzihao.yunzheng.zhaowei.yihua.shaun.wangzihao.william.jiachen.mrchua
yingying.sheila.yaoqin.panyin.farah.nicole.yimin.qiyuan.songyi.kristie.victoria.iris.sheryl.rachel. kahhoe.acer.lianghui.shenzihao.yunzheng.zhaowei.yihua.shaun.wangzihao.william.jiachen.mrchua
Monday, April 19, 2010, 5:57 PM
Maths Week 2010Inter-Class Maths Challenge (Year 6)
Instructions:
Answer as many questions as possible and put your answers in the spaces provided in between the queations. no explanation is required. Please pass the completed answer sheet to your Maths Tutor by 21st April (Wednesday) 2 pm.
Total mark of this challenge is 20.
Q1. Manet can paint a house in 3 hours. Monet can paint the house in 4 hours. If they work together, how many hours will it take them to paint 2 houses? [1]
Q2. John takes 20 seconds to reach level 5 from ground floor. If he takes 40 seconds to reach the top floor of the building, how many floors does the building have? (Assuming that his ascending speed remains constant.) [1]
Q3. If 180degree < x < 270 degree and cosx = -3/5, tanx = _______. [1]
Q4. Find the minimum value of y = (x-16)(x+14)(x-14)(x+16). [1]
Q5. There are several dogs and monkeys in a park. The animals have in total 82 feets and 26 heads. How many dogs are there? [1]
Q6. 'Math Magic' is the theme of this year's math week. Choosing four letters from these 9 letters to form a new word, what is the probability that the 4-letter word contains two consecutive letters which are identical? E.g ammc [1]
Q7. The sum of 1/(2x3x4) +1/(3x4x5) + ... + 1/(98x99x100) is m/n in its lowest term. Find the value of m+n. [1]
Q8. What is the ratio of the area of a square inscribed in a semicircle to the area of a square inscribed in the entire circle? [2]
Q9. What is the last digit in the decimal expansion of 7^(7^7)? [2]
Q10. Solve the equation: x^x^x^... = 2 [2]
Q11. How many ways are there to unfold a cube? (You are not required to draw)
*refer to the paper (ask William) for a picture of one way to unfold the cube* [3]
Q12. Imagine such a situation: if a cup can be broken after droping from the nth floor, then the cup will also be broken after dropping from any floor higher than level n. Similarly, if a cup will not be broken after dropping from mth floor, then this will also happen to any floor lower than level m. Now define nth floor as a critical floor if the cup breaks after being dropped from nth floor but doesn't break after being dropped from (n-1)th floor.
Now you have only 2 identical cups, please devise a strategy that will require the least number of attempts to locate the critical floor in a 10-storey building (The critical floor can be any floor from 1 to 10) [4]
Layout: vehemency