(完整版)英文数学题(1)
-
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 <
/p>
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
<
/p>
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