2022年小升初英语奥数题 .pdf

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1、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 rectang

2、le 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 i

3、s 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 div

4、ide 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 56 is greater than 5. 或： 6 is more than 5. 6 小于 7 6 is less than 7. 精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -第 1 页，共 7 页平方、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

5、 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 perpendi

6、cular 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 d

7、egree 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 精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -第 2 页，共 7 页1、In 20

8、04, 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、

9、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 shade

10、d 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 are different numbers. When 503 is divided by the remainder is 20. When 503 is divided by the remainder is 20. When 493 is divided by x the remainder is_. 9、A lady, her br

11、other, her son and her daughter (all related by birth) played volleyball. The worst players 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) so

12、n 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 positionin 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 精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -第 3 页，共 7 页The answers are giv

13、en 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 t

14、he 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, 10?3=1,152?7=3, and then 379?6 is equal to_. 4、 Two numbers are in the ratio 2 : 3. When 4 is added to eac

15、h 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

16、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?(Lets assume all the athletes run at a constant speed)8、The areas of the faces of a rectangulabox are 84 cm2 , 70 cm2and 30 cm

17、2.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 精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -第 4 页，共 7 页（三）1、A

18、n 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 pe

19、ople recovered and 20% of the healthy peoplecontracted the disease.What fraction of the population is healthy at the end of thesecond 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 sitt

20、ing at either end. Erica is sitting to the right of Barry,but not necessarily next to him. Fatimais not sitting next to Sipho.Sipho is not sitting next to Barry.Who is sitting at the far right? 精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -第 5 页，共 7 页5、Of the 28 T?shirts in a drawer, six are red, fiv

21、e 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 mea

22、ns “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 tomake a statement about the event, knowing th

23、at three of them always lie and twoalways 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.

24、”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 ?(3 ?5) is_.9、If

25、 a ?b = (2 a) 10、Two ants start at point A and walk at the same pace. One ant walks around a3 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? 精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -

26、第 6 页，共 7 页英语奥数答案：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=3 723=2123，因此 x =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，9010(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 精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -第 7 页，共 7 页