申奥宣传片英文数学题

2020年11月25日发(作者：余玠)
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 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
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.
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
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
3、The number of diagonals that can be drawn in a regular polygon
with
twenty sides (icosagon) is_____.
4、If a and b are integers, 10Ä3=1,152Ä7=3, and then
379Ä6 is equal to_____.
5、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____.
6、The greatest number of Mondays which can occur in 45
consecutive
days is____
7、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____.

8、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)

9、The areas of the faces of a rectangulabox are 84 cm2 , 70 cm2and
30 volume of the box in cm3 is____.

10、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、B 用排除法
3、170 找规律，公式为n×（n-3）÷2
4、1 定义新运算，就是求379÷6的余数。
5、40，16和24
6、7