3小升初英文奥数题

3小升初英文奥数题 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 : 7.The 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 cm2.The 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] 1,你知道吗?在十进位数字系统(基地10)十个不同的数字0到9,是用来写所有的数字。在二进制数 字系统(基地2)使用两种不同的数字,即。0和1。 下列哪个编号不是一个有效的号码 八进制数字系统(基地8)吗? 一)128 B)127度)126 D)125 E)124 2、对角线的数量,可以画在一个正多边形 二十块icosagon)is_____。 三、如果a和b是整数,10 A3 = 1152 A7 = 3,然后是相等的to_____ 379 6。 4、两个数字在比2号;3号。四是添加到每个人数比变化到5:7人。两者总和的原编号is____。 5、数量最多的星期一可以发生在45连续性 天is____ 6扫罗扮演一个视频游戏,在游戏中他打进4的一击而丧失了6为小姐。经过20轮得分是30岁。的次数,他已经错过了is____。 7,三个女孩A、B、C运行在100米比赛。当完成后,B是10米 当B和后面完成C是20米处B在米多远是C从当一个完成了吗?(让我们假设所有的运动员跑以一个恒定的速度) 八、地区的一个rectangulabox的面孔是84平方厘米,70 cm2and 30平方厘米。 盒子的体积is____ cm3。 9,你只有3重量:2公斤、3公斤,9公斤以及平等的手臂平衡,如图所示。有多少不同的重量对象可以用这3个你的体重吗? [记得重量可以被放置一边] 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 、1 定义新运算，就是求379?6的余数。 3 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1:9/10:18/25 8、420 分解质因数 9、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 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 arewhite. 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? 1,一只蚂蚁涵盖距离90米3个小时来护送我。蚂蚁的平均速度在每分钟decimetres is____。 2, 3、在一座城里一些人受“流感的流行。在第一个月20%的人口感染了流感仅有80%是健康的。在接下来几个月20%的病人恢复和20%的健康的人感染疾病。什么是健康的一小部分人口在二战结束月吗? 4、Mpho,巴里,Sipho,埃里卡和法蒂玛正坐在公园里的一条长凳。Mpho不是坐在右边。巴里不是坐在最左边。Sipho两端并不买帐。埃里卡坐在右边的巴里,但不一定会在他的旁边。芬蒂玛不是坐在旁边,Sipho。Sipho不是坐在旁边,巴里。谁是坐在右边吗? 5,28例否?衬衫装在一个抽屉,六个是红色的,五个是蓝色的,其余的arewhite。如果鲍勃选择否?随机包装衬衣在度假,他必须移除最少从抽屉可以肯定的是,他有三个电视?衬衫颜色相同的吗? 6,在一个陌生的语言,jalez博格farn意味着“良好的数学技能”。清楚了Nurf博格的意思是“数学在和谐”,达可清楚了farn意味着好“金子”。什么是“和谐黄金“在这个语言吗? Bongani,查尔斯,和Edwina房间的一个角落,在教室,突然其中一个打破了7、5个孩子,阿梅利亚, 窗户。老师要求每个人对这个事件发表一项声明,知道三个人总是撒谎和两个总是说实话。他们的陈述如下:艾米丽亚:"查尔斯不打碎它,也没有一个角落。“Bongani:“我并没有违背,也没有一个角落。"查尔斯:“我并没有违背,但Edwina所做的。“一个角落:“阿梅利亚或Edwina把它打破了。“Edwina:“查尔斯把它打破了。“谁打破了窗户? 八,你知道吗?一个回文为一个数值,都会得到相同的有如向后例句。35453。明年2002是一种典型的palindromic号码。 在2002年到年之间的区别是什么数量和以前的palindromic吗 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、 67 108 10、 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 : 7.The 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 cm2.The 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] 1,你知道吗?在十进位数字系统(基地10)十个不同的数字0到9,是用来写所有的数字。在二进制数 字系统(基地2)使用两种不同的数字,即。0和1。 下列哪个编号不是一个有效的数量吗 八进制数字系统(基地8)吗? 一)128 B)127度)126 D)125 E)124 2、对角线的数量,可以画在一个正多边形 二十块icosagon)is_____。 三、如果a和b是整数,10 A3 = 1152 A7 = 3,然后是相等的to_____ 379 6。 4、两个数字在比2号;3号。四是添加到每个人数比变化到5:7人。两者总和的原编号is____。 5、数量最多的星期一可以发生在45连续性 天is____ 6扫罗扮演一个视频游戏,在游戏中他打进4的一击而丧失了6为小姐。经过20轮得分是30岁。的次 数,他已经错过了is____。 7,三个女孩A、B、C运行在100米比赛。当完成后,B是10米 当B和后面完成C是20米处B在米多远是C从当一个完成了吗?(让我们假设所有的运动员跑以一个 恒定的速度) 八、地区的一个rectangulabox的面孔是84平方厘米,70 cm2and 30平方厘米。 盒子的体积is____ cm3。 9,你只有3重量:2公斤、3公斤,9公斤以及平等的手臂平衡,如图所示。有多少不同的重量对象可 以用这3个你的体重吗? [记得重量可以被放置一边] 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1:9/10:18/25 8、420 分解质因数 9、13种