小学数学题英语版

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 product999×5555、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 thefollowing figure.The size of angle .a. is______.7、If the area of the shaded region of the regular hexagon in the diagrambelow 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) playedvolleyball. The worst player's twin (who is one of the four players) and thebest 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 onlyC) son and daughter only D) lady and daughter onlyE) lady only10、If you continue the given number pattern, in what row and in whatposition in that row will the number 320 be?1 -------------- row 12 3 -------------- row 24 5 6 -------------- row 37 8 9 10 -------------- row 4The answers are given in the order of row ; position.参考答案：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英语数学题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 theclassroom 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? 9、If a Åb = (3×b) then the value of 2+(2×a) Å(3 Å5) is____. 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? 参考答案：1、 单位换算，注意单词，90×10÷（3×60）＝52、 463、 0.68 4、 Erica5、 抽屉原则 76、 注意一一对应，borg= maths, farn=good, jalez=skills. Klar=in, Nurf=harmony, darko=gold. 答案是Nurf darko.7、 Charles8、 10019、 6710、 1081、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 theoctal number system (base 8)?A) 128 B) 127 C) 126 D) 125 E) 1242、The number of diagonals that can be drawn in a regular polygon withtwenty sides (icosagon) is_____.3、If a and b are integers, 10ÄÄ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 consecutivedays 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 mbehind 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]参考答案：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）÷23、1 定义新运算，就是求379÷6的余数。4、40，16和245、76、57、28米，根据距离比求出速度比，三者的速度比为1：9/10：18/258、420 分解质因数9、13种1. Two numbers differ by 57. Their sum is 185. Find the numbers. Choices for the smaller number:54 64 74. 2.A bus went 318 km farther than a car. The car went one third as far as the bus. How far did each vehicle travel? Choices for the smaller number: 147 151 159 3.one number is four times another number. The larger number is also 87 more than the smaller number. Find the numbers. Choices for the smaller number: 29 30 33 4.A clown weights 60 lb more than a trapeze artist. The trapeze artist weighs two thids as much as the clown. How much does each weigh? choices for the weight of the trapeze artist : 110 120 125 5. The U.S. Senate has 100 memebers, all Democrats or Republicans. Recently there were 12 more Democrats than Republicans. How many Senators from each political party were there at that time? Choices for the number of Republicans: 38 42 44 6.The ninth grade class has 17 more girls than boys. there are 431 students in all. how many boys are there? how many girls are there? Choices for the number of boys: 191 202 207 7. Elena has one and a half times as much money as Ramon.Together they have 225. how much money does each have? Choices for Ramom's amount;80 90 95 8. Western state college is 18 years older than southern state. western is also 2 and the half times as old as southern. how old is each? Choice for southern state's age:12 14 18 answers: 1.设较小数为x. x+x+57=185 x=64. 2.设轿车行驶了x千米. 318+x=3x x=159千米 轿车行驶了159千米,公车行驶了318+159=477千米. 3.设较小数为x. 4x=x+87 x=29. 4.60+x=3x/2 x=120 5.Let the number of Republicans be x. x+x+12=100 x=44 6.设有x名男生 x+x+17=431 x=207名 有男生207名,女生431-207=224名. 7.设Ramom有x元. x+3x/2=225 x=90元 8.设southern states college 有x年历史. x+18=5x/2 x=12年.

The little red and jack Bauer and mutually leave home and do, little red every minute walk 52 meters per minute, jack Bauer walked 70 meters, two people in A place of meeting. If the little red four minutes in advance, and the speed of the same, jack Bauer every minute walked 90 meters, the two people who still in A place to meet, little red and jack Bauer home how many meters apart?小红和小强同时从家里出发相向而行,小红每分钟走52米,小强每分钟走70米,两人在途中的A处相遇.若小红提前4分钟出发,且速度不变,小强每分钟走90米,则两人仍在A处相遇,小红和小强的家相距多少米?A: are 1464 meters apartWith the second yuan A equation set, A place with little red house apart X m, little red house and jack Bauer home Y m, are: 1. X = (Y divided by 52-X) divided by 70, 2. (52)-4 X divided by = = (Y-X) divided by 90 reduction can get: 122 X = 52 Y, 142 X-52 Y = 18720 solution binary A equation can get: X = 624, Y = 1464答： 相距1464米用二元一次方程解，设A处与小红家相距X米，小红家和小强家相距Y米，可得：1. X除以52=（Y-X）除以70， 2. （X除以52） -4==（Y-X）除以90 化简可得：122X=52Y， 142X-52Y=18720 解二元一次方程可得：X=624，Y=1464 A b two people at the same time from the runway at and do it, after six minutes, two people to meet according to walk, four minutes after the start point b a return to the starting point and 300 m distance, and the runway.甲乙两人同时从跑道相向而行，经过6分钟相遇，两人据需走，4分钟后甲回到了起点，乙距离起点还有300米，求跑道全长。 A b two people at the same time from the runway at and do it, after six minutes, two people to meet according to walk, four minutes after the start point b a return to the starting point and 300 m distance, and the runway.The answer a total go 6 + 4 = 10 minutes, go all the way,So meet, b's journey is equivalent to a walk four minutes;So the speed and a second faster than is: soSet a 6 X speed is, the b speed is 4 X,For 10 minutes, there go just a whole journey, b and 300 m to go all the way,So there are:10 * 6 X = 10 * 4 X + 300Given the X = 15So a speed is 15 * 6 = 90 m/minSo the runway length is 10 * 90 = 900 m答案 甲一共走了6+4=10分钟，走完全程；所以相遇时，乙走的路程相当于甲走4分钟；所以乙的速度和甲的速度比是：6:4设甲速度是6X，则乙速度是4X，因为一共走了10分钟，甲刚好走完全程，乙还有300米走完全程；因此有：10*6X=10*4X+300解得 X=15所以甲速度是15*6=90米/分钟

The little red and jack Bauer and mutually leave home and do, little red every minute walk 52 meters per minute, jack Bauer walked 70 meters, two people in A place of meeting. If the little red four minutes in advance, and the speed of the same, jack Bauer every minute walked 90 meters, the two people who still in A place to meet, little red and jack Bauer home how many meters apart?小红和小强同时从家里出发相向而行,小红每分钟走52米,小强每分钟走70米,两人在途中的A处相遇.若小红提前4分钟出发,且速度不变,小强每分钟走90米,则两人仍在A处相遇,小红和小强的家相距多少米?A: are 1464 meters apartWith the second yuan A equation set, A place with little red house apart X m, little red house and jack Bauer home Y m, are: 1. X = (Y divided by 52-X) divided by 70, 2. (52)-4 X divided by = = (Y-X) divided by 90 reduction can get: 122 X = 52 Y, 142 X-52 Y = 18720 solution binary A equation can get: X = 624, Y = 1464答： 相距1464米用二元一次方程解，设A处与小红家相距X米，小红家和小强家相距Y米，可得：1. X除以52=（Y-X）除以70， 2. （X除以52） -4==（Y-X）除以90 化简可得：122X=52Y， 142X-52Y=18720 解二元一次方程可得：X=624，Y=1464 A b two people at the same time from the runway at and do it, after six minutes, two people to meet according to walk, four minutes after the start point b a return to the starting point and 300 m distance, and the runway.甲乙两人同时从跑道相向而行，经过6分钟相遇，两人据需走，4分钟后甲回到了起点，乙距离起点还有300米，求跑道全长。 A b two people at the same time from the runway at and do it, after six minutes, two people to meet according to walk, four minutes after the start point b a return to the starting point and 300 m distance, and the runway.The answer a total go 6 + 4 = 10 minutes, go all the way,So meet, b's journey is equivalent to a walk four minutes;So the speed and a second faster than is: soSet a 6 X speed is, the b speed is 4 X,For 10 minutes, there go just a whole journey, b and 300 m to go all the way,So there are:10 * 6 X = 10 * 4 X + 300Given the X = 15So a speed is 15 * 6 = 90 m/minSo the runway length is 10 * 90 = 900 m答案 甲一共走了6+4=10分钟，走完全程；所以相遇时，乙走的路程相当于甲走4分钟；所以乙的速度和甲的速度比是：6:4设甲速度是6X，则乙速度是4X，因为一共走了10分钟，甲刚好走完全程，乙还有300米走完全程；因此有：10*6X=10*4X+300解得 X=15所以甲速度是15*6=90米/分钟所以跑道全长是10*90=900米

2. 56/（3/4-2/5）=1603. 3/(20%*2-25%)=20

If the equations 2x+7=3 and bx-10=-2 have the same solution for x,then b=(-4).

GMAT数学都是初等数学题

1.x/10x/8方程：x/10+30=x/8题目解释：有一笔钱计划分给10个人。因为有2人缺席，每人可以多拿到30美元，找出钱的总数已知：总钱数：x10个人每人有？钱8个人有？钱2.72个溜溜被分成两份。少的那份的溜溜数目的7倍与多的那份的5倍的数目相等。求少的那份的溜溜数。解：设少的那份的MARBLE个数为X个，多的那份为（72-X）个7X=5(72-X)X=30答：少的那份共有30个MARBLESANSWER:thereare30marblesinthesmallergroup.

A fruit seller had some fruits .3/5 of the fruits were apples and the rest were oranges.He sold 2/3 of the apples and 1/4 of the oranges.He had 40 apples and oranges left. (a)How many apples did he sell altogether?(b)How many fruits did he have at first?

a 32b 80一开始理解错了拉