小升初英語(yǔ)奧數(shù)題

1、常用數(shù)學(xué)術(shù)語(yǔ)的英語(yǔ)表達(dá)：1 立方one cubic 1 平方米 one square metre 幾何geometry 點(diǎn)point 線 line 面 plane 直線 a straight 曲線 curved line 近似值 an approximate value 垂直線a vertical 水平線 a horizontal line 三角形的底 the base of a triangle 三角形的兩個(gè)腰 the two sides of a triangle 直角 a rigt angle 銳角 an acute angl 鈍角an obtuse angle 長(zhǎng)方形a rectang

2、le 正方形a square 多邊形 a polygon 圓心 the centre of a circle 圓的直徑the diameter of a circle 圓的半徑the radius of a circle 半圓 a semicircle 弧 an arc 圓柱體 a cylinder 球體 a spheroid 常用加減乘除的英語(yǔ)表達(dá)：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. 五與四的和是九 4 and 5 are / make 9. 或： the sum of 5 and 4 i

3、s 9. 或： four plus five equals nine. 五減二等于三if you take 2 from 5, you get 3. 或： 5 minus 2 equals 3. 五與二之差為三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. 二與三的積為六 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. 比較兩個(gè)數(shù)字大小的英語(yǔ)表達(dá)：6 大于 56 is greater than 5. 或： 6 is more than 5. 6 小于 7 6 is less than 7. 平方、立方及四次方的英語(yǔ)表達(dá)：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. 平方根立方根的英語(yǔ)表達(dá)： 9 的平方根為3 the sq

5、uare root of 9 is 3. 27 的立方根為3 the cube root of 27 is 3. 正比反比的英語(yǔ)表達(dá)：a 與 b 成正比 a is in direct proportion to b. a 與 b 成反比 a is in inverse proportion to b. 兩直線平行或垂直的英語(yǔ)表達(dá)：直線 ab 平行于直線cd line ab is parallel to line cd 直線 ab 垂直于直線cd line ab is perpendicular to line cd 加 plus 減 minus 乘 multiply 除 divide 分母 d

6、enominator 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 內(nèi)角 interior angle 銳角 acute angle 鈍角 obtuse angle 周角 a complete revolution 直角 right angle 圓周 circumference 圓心 center 半徑 radius 直徑 diameter 弧 arc 弧度 degree of an arc 比 ratio 三點(diǎn)一 three point one 面積 area 體積 v

7、olume 長(zhǎng)度 length 分?jǐn)?shù) fraction 小數(shù) decimals 表格 table 圖表 graph 素?cái)?shù) prime number 負(fù)數(shù) negative 自然數(shù) natural number 代數(shù) algebra 方程/等式 equation 等腰三角形isosceles triangle 等邊三角形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 su

8、m 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

9、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 w

10、hat 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 brother, her son and her daughter (all related by birth) played volleyball. the worst players twin (who is one of

11、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

12、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 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 bina

13、ry 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

14、、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 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

15、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 fin

16、ished?(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 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 weig

17、h 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 contract

18、ed the flu whilst 80% were healthy.in the following month 20% of the sick people 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 sitt

19、ing 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. fatimais 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 draw

20、er, 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”

21、. 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 tomake a statement about t

22、he event, knowing that 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

23、: “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