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小升初英文奥数题

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小升初英文奥数题The final revision was on November 23, 2020小升初英文奥数题一1、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fall in20102、If half of a number is 30, then three-quarters of that number is____.3、The sum of the digits of the following product 999×5554、Three positive integers have a sum of 28. The greatest possible product that these integers can have is_____.5、In what follows, □ and Δ are different numbers.When 503 is divided by □ there mainder is 503 is divided by Δ the remainder is 493 is divided by □ x Δ the remainder is_____.6、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 sex. 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 only7、If you continue the given number pattern, in what row and in what position in that row will the number 320 be1 -------------- row 123 -------------- row 2456 -------------- row 3789 10 -------------- row 4The answers are given in the order of row ; position.翻译：4. 三个正整数之和为28,他们积的最大值是(810) 9*9*10=8105. □和△代表不同数字,503/□的余数是20,503/△的余数是20,那么493/(□×△)的余数是(10或493)这个题出得有点问题, 503-20=483=3*7*23,假如□×△>493,例如21*69,则余数为493 ，不然为106.一位女士,她兄弟,她的儿子和女儿(都是亲的)打排球.最差球手的孪生同胞和最佳球手异性,最差球手和最佳球手同龄,谁不可能是最差球手(之一)A.只有兄弟B.只有女儿C.只有儿子和女儿D.只有女士和女儿E.只有女士也就是说最差球手和最佳球手同性且同龄,最差球手是双胞胎之一，这样只有一种可能:儿子是最差,女士的弟弟与儿子同龄是最佳备选答案中似乎没合适的6.如过继续下面的数字列表,320在第几行,以及该行的什么位置(也就是第几列) 1.....................第1行 2,3...................第2行 4,5,6.................第3行 7,8,9,10..............第4行按照"行,列"的形式给出答案:(25,20)参考答案：1、Wednesday详解：In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fall in 2010 翻2004年6月16号是星期三，那么2010年6月16号是星期几呢2004年6月16号是星期三，那么2010年6月16号是星期几呢还是星期三平年365÷7=52 (1)闰年366÷7=52 (2)所以若第二年为平年，则那年的今天星期序号是现年今天后一天；闰年则后两天。

2005，2006，2007，2009，2010为平年，2008为闰年于是加起来应该多7天，即一个星期，所以还是星期三2、453、27（求数位上上的数字之和）4、28=9+9+10，因此答案为8105、503-20=483 483=3×7×23＝21×23，因此□ x Δ＝483，因此此题余数是10.6、D7、25，20小升初英文奥数题[2]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, . 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) 1242、The number of diagonals that can be drawn in a regular polygon with twenty sides (icosagon) is_____.3、If a and b are integers, 103=1,1527=3, and then 3796 is equal to_____.4、Two numbers are in the ratio 2 : 3. When 4 is added to each number the ratio changes to 5 : 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 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1、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种小升初英文奥数题[3]1、Did you know In the decimal number system (base 10) ten differentdigits, 0 to 9, are used to write all the numbers. In the binary number system (base 2) two different digits are used, . 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, 10and then 3796 is equal to_____.4、Two numbers are in the ratio 2 : 3. When 4 is added to each number the ratio changes to 5 : 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 fora miss. After 20 rounds his score is 30. The number of times he has missedis____.7、Three girls A, B and C run in a 100 m race. When A finishes, B is 10mbehind 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 volume of the box in cm3 is____.9、You have 3 weights: 1 kg, 3 kg and 9 kg as well as an equal armbalance, 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。

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外国语学校小升初入学考试中英文奥数试题库

外国语学校小升初入学考试中英文奥数试题库

外国语学校小升初入学考试中英文奥数试题库Document number：PBGCG-0857-BTDO-0089-PTT1998外国语学校小升初英语奥数训练题第一部分1、三个素数的倒数之和是20061155，则这三个素数中最大的是多少 1. The sum of the reciprocals of three prime numbers is 20061155, so what is the greatest one among the three prime numbers2、有一个分数，它的分子加2，可以约简为74；它的分母减2，可以约简为2514。

这个分数是多少 2. There is a fraction. If its numerator adds 2, it can be reduced to be 74; if its denominator subtracts 2, it can be reduced to be 2514. So what is this fraction 3、一个数分别除以1411，2110，4920，所得的商都是自然数。

这个数最小是多少 3. A number is divided by 1411, 2110 and 4920 respectively and the quotients are all natural numbers. So what is the minimum value of this number 4、一片竹林，去年不开花的竹子比开花的2倍还多55棵，今年又多了100棵开花，这时开花的竹子恰好是不开花的4倍，这片竹林有多少棵竹子4. There is a bamboo forest. Last year, the non-blooming bamboos were two times and 55 more than the blooming bamboos. With another 100 bamboos blooming this year, the blooming bamboos are four times as many as the non-blooming bamboos. So, how many bamboos are there in this forest（红色的地方我有点不确定，葛老师您看看应该怎么翻）5、从12110181614121+++++中去掉两个分数，余下的分数之和为1。

小升初英文奥数试题及答案

小升初英文奥数试题及答案

小升初英文奥数试题及答案一、选择题（每题2分，共10分）1. Which of the following is the largest prime number?A. 15B. 17C. 19D. 21Answer: B2. What is the sum of the interior angles of a triangle?A. 180 degreesB. 360 degreesC. 90 degreesD. 120 degreesAnswer: A3. If a train travels at a speed of 60 km/h for 2 hours, how far does it travel?A. 120 kmB. 100 kmC. 80 kmD. 60 kmAnswer: A4. The ratio of boys to girls in a class is 3:2. If there are18 boys, how many girls are there?A. 12B. 24C. 6D. 8Answer: A5. What is the next number in the sequence: 3, 6, 11, 18, 29, ...?A. 43B. 37C. 50D. 52Answer: A二、填空题（每题3分，共15分）6. The product of two prime numbers is always _______.Answer: composite7. If the area of a rectangle is 36 square meters and its length is 9 meters, what is the width?Answer: 4 meters8. The smallest multiple of a number is _______.Answer: the number itself9. In a set of numbers {2, 4, 6, 8, 10}, the median is_______.Answer: 610. If you roll a fair six-sided die, the probability of rolling an even number is _______.Answer: 1/2 or 0.5三、解答题（每题10分，共20分）11. A farmer has 24 apples. He wants to divide them equally among his 4 children. How many apples does each child get?Answer: Each child gets 6 apples.12. Solve the following equation for x:2x + 3 = 9Answer: To solve for x, first subtract 3 from both sides of the equation:2x + 3 - 3 = 9 - 32x = 6Then divide both sides by 2:x = 6 / 2x = 3四、应用题（每题15分，共30分）13. A library has 3 times as many fiction books as non-fiction books. If there are 180 fiction books, how many non-fiction books are there?Answer: If the library has 180 fiction books and this number is 3 times the number of non-fiction books, we canfind the number of non-fiction books by dividing the numberof fiction books by 3:Number of non-fiction books = 180 / 3 = 60 books14. A car travels 120 miles in 3 hours. What is the speed of the car in miles per hour?Answer: To find the speed of the car, we divide the total distance traveled by the total time taken:Speed = Distance / TimeSpeed = 120 miles / 3 hours = 40 miles per hour五、附加题（20分）15. In a school, there are 120 students in total. 2/3 of the students are boys, and the remaining are girls. If eachstudent plants one tree, how many trees are planted in total?Answer: First, we find the number of boys in the schoolby calculating 2/3 of 120:Number of boys = (2/3) * 120 = 80 boysSince the remaining students are girls, we subtract the number of boys from the total number of students to find the number of girls:Number of girls = Total students - Number of boysNumber of girls = 120 - 80 = 40 girlsNow, we know that each student plants one tree, so thetotal number of trees planted is the total number of students: Total trees planted = Number of boys + Number of girlsTotal trees planted = 80 + 40 = 120 trees End of the Test。

小升初英语数学竞赛策略单选题40题

小升初英语数学竞赛策略单选题40题

小升初英语数学竞赛策略单选题40题1. What is the sum of 5 and 7? A. 12. B. 13. C. 14. Answer: A. The sum of 5 and 7 is 5+7=12.2. If there are 8 apples and you take away 3, how many apples are left?A. 5.B. 6.C. 7. Answer: A. 8 apples take away 3 apples leaves 8 - 3 = 5 apples.3. What is 10 divided by 2? A.4. B.5. C.6. Answer: B. 10 divided by 2 is 10÷2=5.4. Double of 6 is what number? A. 12. B. 13. C. 14. Answer: A. Double of 6 is 2×6=12.5. The difference between 9 and 4 is what? A. 5. B.6. C.7. Answer:A. The difference between 9 and 4 is 9 - 4 = 5.6. What shape has four equal sides and four right angles?Answer: A square. A square has four equal sides and four right angles..7. Which shape has three sides?Answer: A triangle. A triangle is a shape with three sides..8. A rectangle has two pairs of equal sides and four right angles. True or False?Answer: True. A rectangle indeed has two pairs of equal sides and four right angles..9. What is the English word for a shape with five sides?Answer: Pentagon. The word for a shape with five sides is pentagon..10. How many sides does a hexagon have?Answer: Six. A hexagon has six sides..11. What day is it two days after Wednesday?Answer: Friday. Explanation: Wednesday + two days = Friday.12. If today is May 10th, what was the date a week ago?Answer: May 3rd. Explanation: 10th - 7 days = 3rd.13. How many months are there in a year?Answer: Twelve. Explanation: There are twelve months in a year.14. What is the date of Christmas Day?Answer: December 25th. Explanation: Christmas Day is on December 25th.15. In which month does summer vacation usually start in many schools?Answer: July. Explanation: Summer vacation usually starts in July in many schools.16. A box is 50 centimeters long. How many meters is it? A. 0.5 meters.B. 5 meters.C. 50 meters. Answer: A. A centimeter is one hundredth of ameter. So 50 centimeters is 50/100 = 0.5 meters.17. 1 kilometer is equal to how many meters? A. 10 meters. B. 100 meters. C. 1000 meters. Answer: C. 1 kilometer is equal to 1000 meters.18. A jug contains 2 liters of water. How many milliliters is it? A. 200 milliliters. B. 2000 milliliters. C. 20 milliliters. Answer: B. 1 liter is equal to 1000 milliliters. So 2 liters is 2 * 1000 = 2000 milliliters.19. A book is 200 grams. How many kilograms is it? A. 0.2 kilograms.B. 2 kilograms.C. 20 kilograms. Answer: A. 1 kilogram is equal to 1000 grams. So 200 grams is 200/1000 = 0.2 kilograms.20. 1 ton is equal to how many kilograms? A. 100 kilograms. B. 1000 kilograms. C. 10 kilograms. Answer: B. 1 ton is equal to 1000 kilograms.21. A box contains red and blue marbles in the ratio of 3:5. If there are 24 blue marbles, how many red marbles are there?Answer: Since the ratio of red to blue marbles is 3:5 and there are 24 blue marbles. Let the number of red marbles be x. Then 3/5 = x/24. Solving this equation gives x = (3/5) * 24 = 14.4, which is not possible as the number of marbles must be a whole number. There seems to be an error in the question or calculation. If we assume that the ratio is 3:4 instead of 3:5, then solving 3/4 = x/24 gives x = 18. So, there is likely an error in the question.22. What is 3/4 of 20?Answer: To find 3/4 of 20, we multiply 20 by 3/4. 20 * (3/4) = 15.23. If a class has 30 students and 2/5 of them are girls, how many boys are there?Answer: First find the number of girls. 2/5 of 30 is (2/5) * 30 = 12. So the number of boys is 30 - 12 = 18.24. The ratio of apples to oranges in a basket is 4:3. If there are 12 oranges, how many apples are there?Answer: Since the ratio of apples to oranges is 4:3 and there are 12 oranges. Let the number of apples be x. Then 4/3 = x/12. Solving this equation gives x = (4/3) * 12 = 16.25. What is the fraction equivalent of 0.6?Answer: 0.6 is equal to 6/10 which simplifies to 3/5.26. Tom has 5 apples. He gives 2 apples to Jerry. How many apples does Tom have now?Answer: Tom had 5 apples and gave away 2. So he has 5 - 2 = 3 apples now. The answer is 3.27. There are 10 pencils in a box. If 3 pencils are taken out, how many pencils are left in the box?Answer: There were 10 pencils and 3 were taken out. So 10 - 3 = 7 pencils are left. The answer is 7.28. Mary has 8 books. She buys 4 more books. How many books does she have in total?Answer: Mary had 8 books and bought 4 more. So 8 + 4 = 12 booksin total. The answer is 12.29. There are 12 students in a class. 6 students are boys. How many students are girls?Answer: There are 12 students in total and 6 are boys. So 12 - 6 = 6 students are girls. The answer is 6.30. A bag has 7 red balls and 3 blue balls. How many balls are there in total?Answer: There are 7 red balls and 3 blue balls. So 7 + 3 = 10 balls in total. The answer is 10.31. What is the result of rotating a square 90 degrees clockwise?Answer: The square will still be a square but with different orientation. Rotating a square 90 degrees clockwise changes its position but not its shape.32. If a rectangle is reflected over a horizontal line, which of the following remains the same?Answer: The length and width of the rectangle remain the same. Reflection only changes the position of the shape.33. When a triangle is translated to the right by 5 units, what changes?Answer: The position of the triangle changes. Translation moves the shape without changing its size or shape.34. What happens to a circle when it is enlarged by a scale factor of 2?Answer: The radius and diameter of the circle are doubled. Enlarginga circle by a scale factor changes its size.35. If a pentagon is rotated 180 degrees counterclockwise, what is the result?Answer: The pentagon will be in a different orientation but still a pentagon. Rotation changes the position of the shape.36. There are three boxes, one contains only apples, one contains only oranges, and one contains both apples and oranges. The labels on the boxes are all wrong. You can only open one box and look at one fruit. Which box should you open to determine the correct contents of all the boxes?Answer: Open the box labeled “apples and oranges”. If you find an apple inside, then this box must contain only apples. Since the labels are all wrong, the box labeled “oranges” must contain both apples and oranges, and the box labeled “apples” must contain only oranges. If you find an orange inside, the reasoning is similar.!.37. Tom is taller than Jerry. Jerry is shorter than Lucy. Lucy is shorter than Lily. Who is the shortest?Answer: Jerry is the shortest. Tom is taller than Jerry. Jerry is shorter than Lucy and Lucy is shorter than Lily.!.38. In a group of three people, A, B, and C. A is taller than B. C is shorter than B. Who is the tallest?Answer: A is the tallest. A is taller than B and C is shorter than B. SoA is taller than bothB and C.!.39. There are four books on a shelf. Book A is to the left of Book B. Book C is to the right of Book B. Book D is between Book A and Book B. Which book is on the far right?Answer: Book C is on the far right. Book A is to the left of Book B. Book C is to the right of Book B. Book D is between Book A and Book B.!.40. Alice, Bob, and Carol are sitting in a row. Alice is not sitting on the left end. Bob is sitting on the right end. Who is sitting in the middle?Answer: Alice is sitting in the middle. Alice is not sitting on the left end and Bob is sitting on the right end. So Alice must be sitting in the middle.!.。

2023年外国语学校小升初入学考试中英文奥数题库

2023年外国语学校小升初入学考试中英文奥数题库

外国语学校小升初英语奥数训练题第一部分1、三个素数旳倒数之和是20061155，则这三个素数中最大旳是多少？ 1. The sum of the reciprocals of three prime numbers is 20061155, so what is the greatestone among the three prime numbers?2、有一种分数，它旳分子加2，可以约简为74；它旳分母减2，可以约简为2514。

这个分数是多少？2. There is a fraction. If its numerator adds 2, it can be reduced to be 74; if itsdenominator subtracts 2, it can be reduced to be 2514. So what is this fraction?3、一种数分别除以1411，2110，4920，所得旳商都是自然数。

这个数最小是多少？3. A number is divided by 1411, 2110 and 4920respectively and the quotients are allnatural numbers. So what is the minimum value of this number?4、一片竹林，去年不开花旳竹子比开花旳2倍还多55棵，今年又多了100棵开花，这时开花旳竹子恰好是不开花旳4倍，这片竹林有多少棵竹子？ 4. There is a bamboo forest. Last year, the non-blooming bamboos were two times and 55 more than the blooming bamboos. With another 100 bamboos blooming this year, the blooming bamboos are four times as many as the non-blooming bamboos. So, how many bamboos are there in this forest?（红色旳地方我有点不确定，葛老师您看看应当怎么翻）5、从12110181614121+++++中去掉两个分数，余下旳分数之和为1。