在新西兰
Mathex 2013 Year 10
10/1 Put a circle round the correct answer:
What is the value of the 100thdigit in the expansion of onethirteenth?
A) 0 b) 7 c) 6 d) 9
10/2 You roll an 8-sided die. Your score is all the dots you can see on the7 observable faces. If you score 33,which number is face down?
10/3 Giveyour answer in roman numerals: MMXIII subtract MCI
10/4 I buy a DVD with a series of a policedrama. Each of the dramas are exactlythe same length. If the total time ofthe DVD is 15.2 hours and there are 10 episodes, how long is each of theseepisodes, in minutes?
10/5 Use 1, 2, 3, 4, 5 and 6 to make two3-digit numbers with the smallest possible difference between them. State that smallest difference.
10/6 Jane says the numbers from one to onehundred. What is the sum of all thesenumbers?
10/7 Writethe number 68 as the sum of two primes.
10/8 Joelis playing a Think of a Number game with his maths group. Teacher says: Think of a number under 20,multiply it by 8, subtract 12, quarter it and add 1, and now halve youranswer. Joel’s finishing number was 9.What was his starting number?
10/9 Find the smallest possible number thatleaves a remainder of 1 when divided by 2, 3, 4, 5 or 6, but which can bedivided by 7 exactly.
10/10 List thenumbers between 1 and 20 which cannot be expressed as the sum of positive consecutivenumbers?
10/11 Anenterprise group in school is making scarves to raise funds for the newlibrary. It costs $300 dollars to hirethe equipment to makes the scarves and the cost of material for each scarf is $3. How many must they sell at $10 to achieve atleast $500 profits for the library?
10/12 The square has a side of 1 and the
rectanglehas sides 1 and x.
Findthe perimeter of the figure.
10/13 The area of a rectangle has one sideincreased by 10%, and the other side reduced in order to keep the area the same. By what percentage must the side beshortened? Give your answer exactly.
10/14 Findthe area of the figure with vertices: (4,0), (0,3), (-3,-1), and 1,-4)
10/15 Eighthundred and thirty seven subtract a three digit number equals some hundred andsome tens five. This subtraction usesall the digits from one to nine. Findthe smallest answer to the subtraction.
10/16 If the alphabet is laid out and thevalue of one given to A and subsequent letters are halved in value, what willthe value of Z be expressed, as a fraction raised to a power?
10/17 TheBEE calculates the basic energy expended per day.
MALES: BEE = 66 + 13.7w + 5h - 6.8a
FEMALES BEE = 655 + 9.6 w + 1.7h - 4.7a
Where w isweight in kilograms, h is height in centimetres, and a is age in years. How much more basic energy is expended by aboy than a girl if they both weight 60kg,are 160cm tall and 15 years old?
10/18 I have a bag of coins. In it, onethird of the coins are gold, one fifth of them are silver, two sevenths arebronze and the rest are copper. My bag can hold a maximum of 200 coins. Howmany coins are in my bag?
10/19 = + + ,
Whatis expressedas the sum of 3 unit fractions where the first fraction
isa half ?
10/20 The triangleT has sides of length 6, 5, 5. The triangle U has sides of
length 8,5, 5. What is the ratio area T : area U?评论
哇。。。。我眼睛都花了。。。。。
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得我回家，用电脑再编辑下
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第一题,会不会?
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你做第一题,提示:循环小数。
无字回复弄明白了吗?
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答案是：9， 对吗？
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1. (d)
2. 3
3. CMXII
4. 91.2 minutes
5. 412 - 365 = 47
6. 5050
7. 31 + 37
8. 10
9. 301
10. 1, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
11. 115
12. 好像有图没显示出来
13. 9 and 1/1100 %
14. 25
15. 145
16. (1/2)^25
17. 153.5
18. 105
19. 题里好像有一部份算式没显示出来
20. 1 : 1
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全部手算，没用计算器
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楼上牛人无数啊！
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有答案，明天我帖上
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那麻烦您看看：第12题和第19题到底是不是问题没完全显示出来啊？我怎么看的一头雾水，不知所云？
评论
找到答案了，俺错了两道题，沦落为中学生水平了。
http://www.aucklandmaths.org.nz/resource-archive/mathex-2013/
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你已经很不错了！~
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这个贴太好了，我女儿上周四第一次参加Mathex竞赛，他们那组大败而归。主要是没做过，题目都没有看懂。在学校，他们做的事Otago的那个。
Mathex比赛中有一题如下：
what is the sum of the prime factors of 36?
各位给个答案。
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36=2*2*3*3; ans=2+2+3+3=10
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完全正确。这是六年级的一道题。