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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
2、is_. 4、The sum of the digits of the following product 999555 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
3、 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 are different numbers. When 503 is divided by the remainder is 20. When 503 is divided by the remainder is 20. When 493 is divided by x the remainder is_. 9、A lady,
4、her brother, her son and her daughter (all related by birth) played volleyball. The worst players twin (who is one of the four players) and the best player are of opposite sex. The worst player and the best player are of the same age. Who cannot be the worst player(s)? A) brother only B) daughter on
5、ly 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、Wedn
6、esday 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=37232123，因此 x 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 digit
7、s 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 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=1,152&Aum
8、l;7=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
9、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? (Lets assume all the at
10、hletes run at a constant speed) 9、The areas of the faces of a rectangulabox are 84 cm2 , 70 cm2and 30 cm2.The volume of the box in cm3 is_. 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
11、 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3796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
12、 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
13、 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
14、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 Tshirts in a drawer, six are red, five are blue, and the rest are white. If Bob selects Tshirts at random whilst packing for a holiday, what is the least number he must remov
15、e from the drawer to be sure that he has three Tshirts 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
