夜黑英文数学题(1)

2020年11月25日发(作者：舒宗侨)


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.

1


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, i.e. 0 and 1.
Which one of the following numbers is not a valid number in the
octal number system (base 8)?

2


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____.


3


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
7、5
8、28米，根据距离比求出速度比，三者的速度比为1：9/10：18/25
9、420 分解质因数
10、13种
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

4