小升初英文奧數試題及答案

2022-09-24 試題

　　近兩年很多重點中學，在小升初的時候都考察英文奧數題，比如愛知中學的雙語班考試。需要提醒同學們的是，你不需要完全讀懂題目的意思，而是應該根據自己所學的只是猜測題目需要求什么。所涉及到的知識都是比較簡單的奧數知識。希望同學們克服害怕的心理，考出好成績。

　　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 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 shaded 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 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) played

　　volleyball. The worst player's 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) son 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

　　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.

　　參考答案：

　　1、Wednesday 2、12 3、45 4、27(求數位上上的數字之和)5、28=9+9+10，因此答案為810 6、36度 7、108 8、503-20=483 483=3×7×23=21×23，因此□ x Δ=483，因此此題余數是10. 9、D 10、25，20

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