小升初英文奥数题

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 in2010

2、If half of a number is 30, then three-quarters of that number is____.

3、The sum of the digits of the following product 999×555

4、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 □ the

re 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 only

7、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.

翻译：

4. 三个正整数之和为28,他们积的最大值是(810) 9*9*10=810

5. □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10

6.一位女士,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、45

3、27（求数位上上的数字之和）

4、28=9+9+10，因此答案为810

5、503-20=483 483=3×7×23＝21×23，因此□ x Δ＝483，因此此题余数是10.

6、D

7、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) 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, 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）÷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1、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

小升初英文奥数题[3]

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.