外国语学校小升初入学英文数学题库2
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外国语学校小升初入学英文数学题库2
第一部分
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 503 is divided by
□ the remainder
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
worst player and the best player are of the same
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
whatposition 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、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（二）
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)?
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, 10Ä3=1,152Ä7=3, and then 379Ä6 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，根据距离比求出速度比，三者的速度比为1：910：1825
8、420
分解质因数
9、13种
一、填空题（每题5分，共25分）
1、1×2×3＋3×4×5＋5×6×7＋7×8×9＋9×10×11=__________
2、思思和学学在探讨年龄问题：学学说，当你像我这么大时，我已经35
岁了；思思说，
当你像我这么大时，我才5岁。则思思____岁。
3、10个人站一排照相，其中三个人是甲乙丙，则甲不在乙丙之间的拍照方
式有_____种。
4、依次从1开始写自然数，一直写到2009，则这个多位数
111213„
„20082009除以9的余数是_____
5、车过河交渡费3元，马过河交渡费2元，人过河交渡费1元，某天过河
的车和马的数目之比为2:
9，马和人的数目之比为3: 7，共收渡费315元，求这
天过河的车、马和人的数目各是多少？
二、填空题（每题7分，共35分）
1、在长
方形ABCD内部有一点O，形成等腰△ABO的面积为16，等腰△DOC
的面积占长方形面积的18
％，那么阴影△AOC的面积是多少？
2、已知△ABC中，AB=AC=16， △ABC面积是6
4，P是BC上任意一点，P到AB，
AC的距离分别是X、Y，那么X+Y=______
3、从1到999这999个自然数中有______个数的各位数字之和能被4整除。
4、如图乘法竖式中，学而思杯代表0 ~ 9中的一个数字，相同的汉字代表
相同的数字
，不同的汉字代表不同的数字，那么学而思杯分别代表的数字是
_______
5、学学和思思结伴骑车去图书馆看书，第一天他们从学校直接去图书馆；
第二
天他们先去公园再去图书馆；第三天公园修路不能通行．则这三天从学校到
图书馆的最短路线分别有__
_____种不同的走法。
三、填空题（每题10分，共40分）[b]
1、10个不同非0自然数的和为1001，则这10个数的最大公约数的最大值
_____
2、学而思杯思而学是一个七位回文数字，其中相同的汉字代表相同的数
字，不同的汉字代
表不同的数字．已知这个七位数第1位能被2整除，前2位组
成的2位数能为3整除，前3位组成的3位
数数能被4整除，„„ ，前7位数
组成的七位数能被8整除．那么学而思杯思而学
．
3、如图，△ABC是等腰直角三角形，DEFG是正方形，线段AB与CD相交<
br>于K点．已知正方形DEFG的面积48，AK: KB=1:
3，则△BKD的面积是_________
4、甲、乙两队各出5名队员按事先排好的顺序出场参加象棋擂台赛，双方
先由1号队员比
赛，负者被淘汰，胜者再与负方2号队员比赛，„„直至有一方
队员全被淘汰为止，另一方获得胜利．各
个队员的胜负排列便形成一种比赛过
程．已知每次比赛都没有和局，问所有可能的比赛过程有多少种？
一、填空题（每题5分，共25分）
1、1770
2、15
3、2419200
4、3
5、14，63，147
二、填空题（每题7分，共35分）
1、3.5
2、8
3、248
4、3201
5、16，8，8
三、填空题（每题10分，共40分）
1、13
2、4285824
3、12
4、252
第二部分
1、An ant covers a
distance of 90 meters in 3 hours. The average
speed of the ant
in decimeters 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 healthy
people
contracted the disease. What
fraction of the population is healthy at the end
of
the second month?
4、Mpho, Barry,
Sipho, Erica and Fatima are sitting on a park
bench. Mpho is
not sitting on the far right.
Barry is not sitting on the far left. Sipho is not
sitting at either end. Erica is sitting to the
right of Barry,but not necessarily
next to
him. Fatima is not sitting next to Sipho. Sipho is
not sitting next to Barry.
Who is sitting at
the far right?
5、Of the 28 T?shirts in a
drawer, six are red, five are blue, and the rest
are
white. If Bob selects T?shirts at random
whilst packing for a holiday, what is the
least number he must remove from the drawer to
be sure that he has three T?shirts
of the same
colour?
6、In an alien language, jalez borg
farn means “good maths skills”. Nurf klar
borg
means“maths in harmony” and darko klar farn means
“good in gold”.What is
“harmony gold” in this
language?
7、Five children, Amelia, Bongani,
Charles, Devine and Edwina, were in the
classroom when one of them broke a window. The
teacher asked each of them to make
a statement
about the event, knowing that three of them always
lie and two always
tell the truth. Their
statements were as follows:Amelia: “Charles did
not break
it, nor did Devine.”Bongani: “I
didn’t break it, nor did Devine.”Charles: “I
didn’t break it, but Edwina did.”Devine:
“Amelia or Edwina broke it.”Edwina:
“Charles
broke it.”Who broke the window?
8、Did you
know? A palindrome is a number which reads the
same forwards as
backwards e.g. 35453. Next
year 2002 is an example of a palindrome number.
What are
the difference between 2002 and the
number of the previous palindrome year?
9、If
a
b = (3×b) then the value of 2(2×a)
(3
5) is____.
10、Two ants
start at point A and walk at the same pace. One
ant walks around
a 3 cm by 3 cm square whilst
the other walks around a 6 cm by 3 cmrectangle.
What
is the minimum distance, in
centimeters, any one must cover before they meet
again?
参考答案：
1、
单位换算，注意单词，90×10÷（3×60）＝5
2、 46
3、 0.68
4、 Erica
5、 抽屉原则 7
6、
注意一一对应，borg= maths, farn=good, jalez=skills.
Klar=in, Nurf=harmony,
darko=gold. 答案是Nurf
darko.
7、 Charles
8、 1001
9、 67
10、 108
第三部分
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)?
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,
10and 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 rectangular box 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，根据距离比求出速度比，三者的速度比为1：910：1825
8、420
分解质因数
9、13种
1、Six trees are equally
spaced along one side of a straight road. The
distance from the first tree to the fourth is 60
feet. What is the distance in
feet between the
first and last trees?
2、At the end of 2005
Walter was half as old as his grandmother. The sum
of the years in which they were born is 3860. How
old will Walter be at
the end of 2006?
3、The digits 1,2,3,4 and 9 are each used once to
form the greatest possible even five-digit number.
What is the digit in the tens place?
2007
4、Every edge of a cube is colored
either red or green. In order to have at least one
red edge on every face of the cube, find the
minimum number
of edges that must be colored
red.
5、When 31513 and 34369 are such divided
by a certain 3-digit number, the remainders are
equal. Find this remainder.
6、Three signal
lights were set to flash every certain specified
time. The first light flashes every 12 seconds,
the second flashed every 30 seconds
and the
third one every 66 seconds, the signal lights
flash simultaneously at 8:30 am. At what time will
the signal lights next flash together?