2024年1月24日发(作者:六下青岛版数学试卷)
A tank with full water has a inverted circular cone with base of radius 5 m and
H of 10 m . If the tank has a hole and is leaking and the water level is
decreasing at the rate of 3 m/min –estimate the rate at which the tank is losing
water when the water level is only 5 m deep.
水槽装水的体积v=pi*52 *10/3=83.333pi
漏到5m深时水槽水的体积= pi*2.52 *5/3=10.416pi
漏掉水的体积=83.333pi-10.416pi=72.917pi=229.076m3
用掉的时间=229.076/3=76.36min
1、An ant covers a distance of 90 metres in 3 hours. The average speed of the ant in decimetres per minute is____.
2、The Ancient Romans used the folling different numerals in their number system
I=1 V=5 X=10 L=50 C=100 D=500 M=1000 etc
they used these numerals to make up number as follows
I=1 II=2 III=3 IV=4 V=5 VI=6 VII=7 VIII=8
IX=9 X=10 etc
SO, for example, XCIX=99
What is the value of XLVI?
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 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?
9、If a Åb = (3×b) then the value of 2+(2×a) Å(3 Å5) 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 cm
rectangle. What is the minimum distance, in centimetres, any one must
cover before they meet again?
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
sum of the digits of the following product 999×555
positive integers have a sum of 28. The greatest possible product that these integers can have is_____.
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_
____.
4. 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
5、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.
Define a*b to be the larger of 2a and a+b Then (2*3)*(3*2) is equal to ___
A9 B 10 c11 D22
1. Two numbers differ by 57. Their sum is 185. Find the numbers. Choices for the smaller number:54 64 74.
2.A bus went 318 km farther than a car. The car went one third as far as the bus. How far did each
vehicle travel? Choices for the smaller number: 147 151 159
number is four times another number. The larger number is also 87 more than the smaller number. Find the numbers. Choices for the smaller number: 29 30 33
4.A clown weights 60 lb more than a trapeze artist. The trapeze artist weighs two thids as much as
the clown. How much does each weigh? choices for the weight of the trapeze artist : 110 120 125
5. The U.S. Senate has 100 memebers, all Democrats or Republicans. Recently there were 12 more Democrats than Republicans. How many Senators from each political party were there at that time? Choices for the number of Republicans: 38 42 44
ninth grade class has 17 more girls than boys. there are 431 students in all. how many boys
are there? how many girls are there? Choices for the number of boys: 191 202 207
7. Elena has one and a half times as much money as er they have 225. how much money does each have?
Choices for Ramom\'s amount;80 90 95
8. Western state college is 18 years older than southern state. western is also 2 and the half times as old as southern. how old is each? Choice for southern state\'s age:12 14 18
来自:百度英语数学题吧
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