小升初英语奥数题...

常用数学术语的英语表达： 1立方    one cubic 1平方米   one square metre 几何    geometry 点       point 线     line 面      plane 直线    a straight 曲线     curved line 近似值   an approximate value 垂直线    a vertical 水平线   a horizontal line 三角形的底 the base of a triangle 三角形的两个腰  the two sides of a triangle 直角    a rigt angle 锐角    an acute angl 钝角     an obtuse angle 长方形    a rectangle 正方形    a square 多边形   a polygon 圆心   the centre of a circle 圆的直径   the diameter of a circle 圆的半径   the radius of a circle 半圆    a semicircle 弧     an arc 圆柱体   a cylinder 球体    a spheroid  常用加减乘除的英语表达： 四加五等于九   If you add 4 to 5, you get 9.          或：If you add 4 and 5, you get 9. 五与四的和是九  4 and 5 are / make 9.           或：The sum of 5 and 4 is 9.          或：Four plus five equals nine. 五减二等于三   If you take 2 from 5, you get 3.          或：5 minus 2 equals 3. 五与二之差为三 The difference between 5 and 2 is 3. 二乘三等于六   2 times 3 is / equals 6.          或：3 multiplied by 2 equals 6. 二与三的积为六  The proudct of 2 and 3 is 6. 六除以二等于三  If you divide 6 by 2, the answer is 3.           或：If you divide 2 into 6, the answer is 3.                             或：6 divided by 2 equals 3.   比较两个数字大小的英语表达： 6大于5    6 is greater than 5.    或：6 is more than 5. 6小于7     6 is less than 7.   平方、立方及四次方的英语表达： 3的平方等于9          The square of 3 is 9. 3的立方等于27        The cube of 3 is 27. 3的四次方等于81      The fourth power of 3 is / equals 81.   平方根立方根的英语表达：  9的平方根为3          The square root of 9 is 3. 27的立方根为3          The cube root of 27 is 3.   正比反比的英语表达： A与B成正比              A is in direct proportion to B. A与B成反比              A is in inverse proportion to B.   两直线平行或垂直的英语表达： 直线AB平行于直线CD     Line AB is parallel to Line CD 直线AB垂直于直线CD     Line AB is perpendicular to Line CD 加 plus 减 minus 乘multiply 除divide 分母denominator 分子numerator 平方square 平方根 square root 二分之一 one half 二分之三 two thirds 三分之四 three fourth 内角interior angle 锐角 acute angle 钝角 obtuse angle 周角a complete revolution 直角 right angle 圆周circumference 圆心center 半径 radius 直径 diameter 弧arc 弧度degree of an arc 比ratio 三点一 three point one 面积area 体积volume 长度length 分数fraction 小数 decimals 表格 table 图表 graph 素数 prime number 负数 negative 自然数 natural number 代数 algebra 方程/等式 equation 等腰三角形 isosceles triangle 等边三角形 equilateral triangle 　 1、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fall in 2010? 　　2、 In a magic square the sum of the numbers in each row, in each diagonal and in each column are equal. In this magic square the value of x is: 　　3、If half of a number is 30, then three-quarters of that number is____. 　　4、The sum of the digits of the following product 　　999×555 5、Three positive integers have a sum of 28. The greatest possible product that these integers can have is_____. 6、Jack was trying to tessellate regular pentagons. He managed the following figure. The size of angle .a. is______. 　　7、If the area of the shaded region of the regular hexagon in the diagram 　　below is 36 cm2, the area of the whole hexagon in cm2 is_____. 　　8、In what follows, □ and Δ are different numbers. 　　When 503 is divided by □ the remainder is 20. 　　When 503 is divided by Δ the remainder is 20. 　　When 493 is divided by □ x Δ the remainder is_____. 9、A lady, her brother, her son and her daughter (all related by birth) played volleyball. The worst player's twin (who is one of the four players) and the best player are of opposite ***. 　　The worst player and the best player are of the same age. 　　Who cannot be the worst player(s)? 　　A) brother only B) daughter only 　　C) son and daughter only 　　D) lady and daughter only 　　E) lady only 　　10、If you continue the given number pattern, in what row and in what position in that row will the number 320 be? 　　1 -------------- row 1 　　2 3 -------------- row 2 　　4 5 6 -------------- row 3 　　7 8 9 10 -------------- row 4 　　The answers are given in the order of row; position. （二） 1、Did you know? In the decimal number system (base 10) ten different digits, 0 to 9 are used to write all the numbers. In the binary number system (base 2) two different digits are used, i.e. 0 and 1. Which one of the following numbers is not a valid number in the octal number system (base 8)? A) 128 B) 127 C) 126 D) 125 E) 124 2、The number of diagonals that can be drawn in a regular polygon with twenty sides (icosagon) is_____. 3、If a and b are integers, 10Ä3=1,152Ä7=3, and then 379Ä6 is equal to_____. 4、Two numbers are in the ratio 2 : 3. When 4 is added to each number the ratio changes to 5 : 7.The sum of the two original numbers is____. 5、The greatest number of Mondays which can occur in 45 consecutive days is____ 6、Saul plays a video game in which he scores 4 for a hit and lost 6 for a miss. After 20 rounds his score is 30. The number of times he has missed is____. 7、Three girls A, B and C run in a 100 m race. When A finishes, B is 10 m behind A and when B finishes C is 20 m behind B. How far in metres was C from A when A finished?(Let’s assume all the athletes run at a constant speed) 8、The areas of the faces of a rectangulabox are 84 cm2 , 70 cm2and 30 cm2.The volume of the box in cm3 is____. 9、You have 3 weights: 1 kg, 3 kg and 9 kg as well as an equal arm balance, as shown. How many different weight objects can you weigh with these three? [Remember the weights may be placed on either side] （三） 1、An ant covers a distance of 90 metres in 3 hours. The average speed of the ant in decimetres per minute is____. 2、 3、In a certain town some people were affected by a ’flu’ epidemic. In the first month 20% of the population contracted the flu whilst 80% were healthy.In the following month 20% of the sick people recovered and 20% of the healthy people contracted the disease.What fraction of the population is healthy at the end of the second month? 4、Mpho, Barry, Sipho, Erica and Fatima are sitting on a park bench.Mpho is not sitting on the far right. Barry is not sitting on the far left.Sipho is not sitting at either end. Erica is sitting to the right of Barry,but not necessarily next to him. Fatima is not sitting next to Sipho.Sipho is not sitting next to Barry.Who is sitting at the far right? 5、Of the 28 T?shirts in a drawer, six are red, five are blue, and the rest are white. If Bob selects T?shirts at random whilst packing for a holiday, what is the least number he must remove from the drawer to be sure that he has three T? shirts of the same colour? 6、In an alien language, jalez borg farn means “good maths skills”. Nurf klar borg means“maths in harmony” and darko klar farn means “good in gold”. What is “ harmony gold” in this language? 7、Five children, Amelia, Bongani, Charles, Devine and Edwina, were in the classroom when one of them broke a window. The teacher asked each of them to make a statement about the event, knowing that three of them always lie and two always tell the truth. Their statements were as follows: Amelia: “Charles did not break it, nor did Devine.” Bongani: “I didn’t break it, nor did Devine.”Charles: “I didn’t break it, but Edwina did.” Devine: “Amelia or Edwina broke it.” Edwina: “Charles broke it.” Who broke the window? 8、Did you know? A palindrome is a number which reads the same forwards as backwards e.g. 35453. Next year 2002 is an example of a palindromic number. What is the difference between 2002 and the number of the previous palindromic year? (3×b) then the value of 2 Å(3 Å5) is____.(9、If a Åb = (2×a) 10、Two ants start at point A and walk at the same pace. One ant walks around a 3 cm by 3 cm square whilst the other walks around a 6 cm by 3 cmrectangle. What is the minimum distance, in centimetres, any one mustcover before they meet again? 英语奥数答案： 1、Wednesday 2、12 3、45 4、27(求数位上上的数字之和) 5、28=9+9+10，因此答案为810 6、36度 7、108 8、503-20=483 483=3×7×23=21×23，因此□ x Δ=483，因此此题余数是10. 9、D 10、25，20 （二） 1、A 考察我们学过的简单的进制问题，显然8进制中没有8出现 2、170 找规律，公式为n×(n-3)÷2 3、1 定义新运算，就是求379÷6的余数。 4、40，16和24 5、7 6、5 7、28米，根据距离比求出速度比，三者的速度比为1：9/10：18/25 8、420 分解质因数 9、13种 （三） 1、 单位换算，注意单词，90×10÷(3×60)=5 2、 46 3、 0.68 4、 Erica 5、 抽屉原则 7 6、 注意一一对应，borg= maths, farn=good, jalez=skills. Klar=in, Nurf=harmony, darko=gold. 答案是Nurf darko. 7、 Charles 8、 1001 9、 67 10、 108 7 / 7