小升初英语奥数题...
清明节习俗-丹麦留学
常用数学术语的英语表达：
1立方 one cubic
1平方米 one square metre
几何 geometry 点
point
线 line 面 plane
直线
a straight 曲线 curved line
近似值 an
approximate value
垂直线 a vertical 水平线
a horizontal line
三角形的底 the base of a triangle
三角形的两个腰 the two sides of a triangle
直角
a rigt angle 锐角 an acute angl
钝角
an obtuse angle 长方形 a rectangle
正方形
a square 多边形 a polygon
圆心 the centre
of a circle 圆的直径 the diameter of a circle
圆的半径 the radius of a circle 半圆 a
semicircle
弧 an arc 圆柱体 a cylinder
球体 a spheroid
常用加减乘除的英语表达：
四加五等于九
If you add 4 to 5, you get 9.
或：If
you add 4 and 5, you get 9.
五与四的和是九 4 and 5
are make 9.
或：The sum of 5 and 4
is 9.
或：Four plus five equals nine.
五减二等于三 If you take 2 from 5, you get 3.
或：5 minus 2 equals 3.
五与二之差为三 The difference
between 5 and 2 is 3.
二乘三等于六 2 times 3 is
equals 6.
或：3 multiplied by 2
equals 6.
二与三的积为六 The proudct of 2 and 3 is
6.
六除以二等于三 If you divide 6 by 2, the answer
is 3.
或：If you divide 2 into 6,
the answer is 3.
或：6 divided by 2 equals 3.
比较两个数字大小的英语表达：
6大于5 6 is greater than
5.
或：6 is more than 5.
6小于7 6
is less than 7.
1 7
平方、立方及四次方的英语表达：
3的平方等于9
The square of 3 is 9.
3的立方等于27 The cube
of 3 is 27.
3的四次方等于81 The fourth power of
3 is equals 81.
平方根立方根的英语表达：
9的平方根为3 The square root of 9 is 3.
27的立方根为3 The cube root of 27 is 3.
正比反比的英语表达：
A与B成正比 A is
in direct proportion to B.
A与B成反比
A is in inverse proportion to B.
两直线平行或垂直的英语表达：
直线AB平行于直线CD Line AB is
parallel to Line CD
直线AB垂直于直线CD Line AB is
perpendicular to Line CD
加 plus 减
minus 乘multiply 除divide
分母denominator
分子numerator
平方square 平方根 square root
二分之一 one half 二分之三 two thirds 三分之四 three
fourth
内角interior angle 锐角 acute angle 钝角
obtuse angle
周角a complete revolution 直角 right
angle
圆周circumference 圆心center 半径 radius 直径
diameter
弧arc 弧度degree of an arc
比ratio
三点一 three point one
面积area 体积volume
长度length
分数fraction 小数 decimals
表格 table
图表 graph
素数 prime number 负数 negative 自然数
natural number
代数 algebra 方程等式 equation
等腰三角形 isosceles triangle 等边三角形 equilateral
triangle
2 7
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
3
7
The answers are given in the
order of row; position.
（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 syst
em (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 fro
m 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
e 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]
4 7
（三）
1、An
ant covers a distance of 90 metres in 3 hours. The
average speed of the a
nt 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 the
following month 20% of the sick people recovered
and 20% of the healthy people
contracted the
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 is not
sitting on the far right. Barry is not sitting
on the far is not sitting at eith
er end.
Erica is sitting to the right of Barry,but not
necessarily next to him. Fatima
is not sitting
next to is not sitting next to is sitting at the
far right?
5 7
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
palindromic number.
What is the difference
between 2002 and the number of the previous
palindromic
year?
(3×b) then the value of
2 Å(3 Å5) is____.9、If a Åb = (2×a)
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
centimetres, any one mustcover before they
meet again?
6 7
英语奥数答案：
1、Wednesday
3、45
2、12
4、27(求数位上上的数字之和)
6、36度
5、28=9+9+10，因此答案为810
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
（二）
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。
5、7
4、40，16和24
6、5
10、25，20
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
（三）
1、
单位换算，注意单词，90×10÷(3×60)=5 2、 46
3、 0.68
4、 Erica
9、13种
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
9、 67
8、 1001
10、 108
7 7