小升初英语数学题模拟卷一
六年级小升初英语、数学、语文 同步练习综合模拟试卷(附答案)
英语一、根据首字母写出单词。
1. My friend a____ goes to school by bus.2. Today I go to the supermarket on f_____.3. My father likes to take the s _____ to work. It’s fast and safe.4. Running is good e______. It’s good for our health.5. Do come here b____ bus?二、用所给单词的适当形式填空。
1. Where ____ (be) your school?2. You must _____ (stop) at the red light.3. They _____ (wait) for their friends now.4. She usually _____ (go) home on foot.5. Look!The bus_____ (come).三、选择填空。
( ) 1. --How do you go to the park? -- ______.A. By footB. On footC. By the bike( ) 2. Tomorrow I go to Shanghai _____ plane.A. onB. byC. in( ) 3. The children go to school ____ the bus.A. byB. inC. on( ) 4. Where is the _________? I want to send a post card.A. bookstoreB. post officeC. museum( ) 5. --How does your mother usually come? --_______________________.A. She usually walks.B. I often come by bus.C. The bus is coming.四、根据要求完成句子。
【小升初】2023-2024学年人教版数学升学分班考真题模拟测试题2套(含解析)
【小升初】2023-2024学年人教版数学升学分班考真题模拟测试题一.计算题(共3小题)1.(2022•周至县)直接写出得数。
12=0.6×1.5==12.5%﹣==5×3÷3×5=2.(2022•舞阳县)计算下面各题,怎样简便就怎样算。
4.7×101﹣4.736×(+)54×60%+45×+0.6(+﹣)×48 3.(2022•怀远县)解方程或比例。
x+= 2.75x﹣25%x=1.5x:18=:10二.选择题(共10小题)4.(2022•讷河市)下面不具有相反意义的量是()A.前进5m和后退5mB.节约3吨水和浪费2吨水C.存入800元和支出500元D.身高增加3cm和体重减少3千克5.(2021秋•白云区期末)六(1)班有学生44人,男生与女生人数的比可能是()A.2:3B.3:4C.4:5D.5:6 6.(2022春•临泉县期中)下面四个圆柱中,表面积最小的是()A.底面半径2厘米,高3厘米B.底面直径4厘米,高1厘C.底面半径3厘米,高2厘米D.底面直径1厘米,高4厘米7.两根同样长的绳子,第一根截去全长的,再截去米;第二根先截去米,再去余下的20%,两根剩下的部分相比()A.第一根长B.第二根长C.一样长D.无法比较8.(2022•龙华区)下面各选项中的两个量,成正比例的是()A.同一时间、同一地点,不同高度竹竿的高和竿影的长B.一个人的体重和年龄C.圆的面积与半径D.路程一定,行驶的速度与时间9.(2022春•兴化市月考)景华小学对五年级学生进行了英语测试,测试结果统计如图,已知及格人数为30人,则优秀的人数为()人。
A.200B.100C.58D.12 10.(2022春•阳原县期中)把4×5=2×10改写成比例可能是()A.4:5=2:10B.4:2=10:5C.5:4=10 11.(2022•东莞市)在地图上,北京在上海的北偏西30°方向上,那么上海在北京的()方向上。
小升初英语数学竞赛策略单选题40题
小升初英语数学竞赛策略单选题40题1. What is the sum of 5 and 7? A. 12. B. 13. C. 14. Answer: A. The sum of 5 and 7 is 5+7=12.2. If there are 8 apples and you take away 3, how many apples are left?A. 5.B. 6.C. 7. Answer: A. 8 apples take away 3 apples leaves 8 - 3 = 5 apples.3. What is 10 divided by 2? A.4. B.5. C.6. Answer: B. 10 divided by 2 is 10÷2=5.4. Double of 6 is what number? A. 12. B. 13. C. 14. Answer: A. Double of 6 is 2×6=12.5. The difference between 9 and 4 is what? A. 5. B.6. C.7. Answer:A. The difference between 9 and 4 is 9 - 4 = 5.6. What shape has four equal sides and four right angles?Answer: A square. A square has four equal sides and four right angles..7. Which shape has three sides?Answer: A triangle. A triangle is a shape with three sides..8. A rectangle has two pairs of equal sides and four right angles. True or False?Answer: True. A rectangle indeed has two pairs of equal sides and four right angles..9. What is the English word for a shape with five sides?Answer: Pentagon. The word for a shape with five sides is pentagon..10. How many sides does a hexagon have?Answer: Six. A hexagon has six sides..11. What day is it two days after Wednesday?Answer: Friday. Explanation: Wednesday + two days = Friday.12. If today is May 10th, what was the date a week ago?Answer: May 3rd. Explanation: 10th - 7 days = 3rd.13. How many months are there in a year?Answer: Twelve. Explanation: There are twelve months in a year.14. What is the date of Christmas Day?Answer: December 25th. Explanation: Christmas Day is on December 25th.15. In which month does summer vacation usually start in many schools?Answer: July. Explanation: Summer vacation usually starts in July in many schools.16. A box is 50 centimeters long. How many meters is it? A. 0.5 meters.B. 5 meters.C. 50 meters. Answer: A. A centimeter is one hundredth of ameter. So 50 centimeters is 50/100 = 0.5 meters.17. 1 kilometer is equal to how many meters? A. 10 meters. B. 100 meters. C. 1000 meters. Answer: C. 1 kilometer is equal to 1000 meters.18. A jug contains 2 liters of water. How many milliliters is it? A. 200 milliliters. B. 2000 milliliters. C. 20 milliliters. Answer: B. 1 liter is equal to 1000 milliliters. So 2 liters is 2 * 1000 = 2000 milliliters.19. A book is 200 grams. How many kilograms is it? A. 0.2 kilograms.B. 2 kilograms.C. 20 kilograms. Answer: A. 1 kilogram is equal to 1000 grams. So 200 grams is 200/1000 = 0.2 kilograms.20. 1 ton is equal to how many kilograms? A. 100 kilograms. B. 1000 kilograms. C. 10 kilograms. Answer: B. 1 ton is equal to 1000 kilograms.21. A box contains red and blue marbles in the ratio of 3:5. If there are 24 blue marbles, how many red marbles are there?Answer: Since the ratio of red to blue marbles is 3:5 and there are 24 blue marbles. Let the number of red marbles be x. Then 3/5 = x/24. Solving this equation gives x = (3/5) * 24 = 14.4, which is not possible as the number of marbles must be a whole number. There seems to be an error in the question or calculation. If we assume that the ratio is 3:4 instead of 3:5, then solving 3/4 = x/24 gives x = 18. So, there is likely an error in the question.22. What is 3/4 of 20?Answer: To find 3/4 of 20, we multiply 20 by 3/4. 20 * (3/4) = 15.23. If a class has 30 students and 2/5 of them are girls, how many boys are there?Answer: First find the number of girls. 2/5 of 30 is (2/5) * 30 = 12. So the number of boys is 30 - 12 = 18.24. The ratio of apples to oranges in a basket is 4:3. If there are 12 oranges, how many apples are there?Answer: Since the ratio of apples to oranges is 4:3 and there are 12 oranges. Let the number of apples be x. Then 4/3 = x/12. Solving this equation gives x = (4/3) * 12 = 16.25. What is the fraction equivalent of 0.6?Answer: 0.6 is equal to 6/10 which simplifies to 3/5.26. Tom has 5 apples. He gives 2 apples to Jerry. How many apples does Tom have now?Answer: Tom had 5 apples and gave away 2. So he has 5 - 2 = 3 apples now. The answer is 3.27. There are 10 pencils in a box. If 3 pencils are taken out, how many pencils are left in the box?Answer: There were 10 pencils and 3 were taken out. So 10 - 3 = 7 pencils are left. The answer is 7.28. Mary has 8 books. She buys 4 more books. How many books does she have in total?Answer: Mary had 8 books and bought 4 more. So 8 + 4 = 12 booksin total. The answer is 12.29. There are 12 students in a class. 6 students are boys. How many students are girls?Answer: There are 12 students in total and 6 are boys. So 12 - 6 = 6 students are girls. The answer is 6.30. A bag has 7 red balls and 3 blue balls. How many balls are there in total?Answer: There are 7 red balls and 3 blue balls. So 7 + 3 = 10 balls in total. The answer is 10.31. What is the result of rotating a square 90 degrees clockwise?Answer: The square will still be a square but with different orientation. Rotating a square 90 degrees clockwise changes its position but not its shape.32. If a rectangle is reflected over a horizontal line, which of the following remains the same?Answer: The length and width of the rectangle remain the same. Reflection only changes the position of the shape.33. When a triangle is translated to the right by 5 units, what changes?Answer: The position of the triangle changes. Translation moves the shape without changing its size or shape.34. What happens to a circle when it is enlarged by a scale factor of 2?Answer: The radius and diameter of the circle are doubled. Enlarginga circle by a scale factor changes its size.35. If a pentagon is rotated 180 degrees counterclockwise, what is the result?Answer: The pentagon will be in a different orientation but still a pentagon. Rotation changes the position of the shape.36. There are three boxes, one contains only apples, one contains only oranges, and one contains both apples and oranges. The labels on the boxes are all wrong. You can only open one box and look at one fruit. Which box should you open to determine the correct contents of all the boxes?Answer: Open the box labeled “apples and oranges”. If you find an apple inside, then this box must contain only apples. Since the labels are all wrong, the box labeled “oranges” must contain both apples and oranges, and the box labeled “apples” must contain only oranges. If you find an orange inside, the reasoning is similar.!.37. Tom is taller than Jerry. Jerry is shorter than Lucy. Lucy is shorter than Lily. Who is the shortest?Answer: Jerry is the shortest. Tom is taller than Jerry. Jerry is shorter than Lucy and Lucy is shorter than Lily.!.38. In a group of three people, A, B, and C. A is taller than B. C is shorter than B. Who is the tallest?Answer: A is the tallest. A is taller than B and C is shorter than B. SoA is taller than bothB and C.!.39. There are four books on a shelf. Book A is to the left of Book B. Book C is to the right of Book B. Book D is between Book A and Book B. Which book is on the far right?Answer: Book C is on the far right. Book A is to the left of Book B. Book C is to the right of Book B. Book D is between Book A and Book B.!.40. Alice, Bob, and Carol are sitting in a row. Alice is not sitting on the left end. Bob is sitting on the right end. Who is sitting in the middle?Answer: Alice is sitting in the middle. Alice is not sitting on the left end and Bob is sitting on the right end. So Alice must be sitting in the middle.!.。
2023年小升初择校考试模拟综合试卷一
小升初择校考试模拟综合试卷一(答卷说明:全卷共12页计200分,语文70分、外语50分、数学80分,全卷答卷时间100分钟,答卷时请使用钢笔认真书写)语文考号:学校:姓名一、基础知识1.下面四组读音中注音完全对的的一组是()A.屡见不鲜(xiǎn)不卑不亢(kàng)处心积虑(chù)B.自怨自艾(yì)万马齐喑(yīn)瞠目结舌(chēng)C.草菅人命(g uān)顿开茅塞(sè)如火如荼(tú)D.恪守成规(gè)居心叵测(pǒ)垂涎三尺(yán)2.下面三组词中只有一组没有错别字,找出来在括号里打“√”A.应接不暇迫不及戴云蒸霞蔚香味四溢()B.川流不息惊涛骇浪书声琅琅唇亡齿寒()C.喜出忘外刻苦钻研饱经风霜实事求是()3.下列关联词使用不妥的一项是()A.你既然懂得了这个道理,就要努力地去做。
B.小明由于学习刻苦,所有受到老师的表扬。
C.老师一边弹琴,同学一边唱歌。
D.与其边做作业边玩,不如先做完作业再玩。
4.下列句子没有语病的一句是()A.今天一整天我们都在观测日环食。
B.她兴冲冲地跑进教室,兴高采烈地宣布了林老师康复出院的好消息。
C.张明和王刚并肩走着,他对他说起了准备考英语等级的消息。
D.这两只鸭子展开翅膀飞向广阔的蓝天。
5.诗句“停车坐爱枫林晚,霜叶红于二月花。
”理解对的的一句是()A.停下车来,坐着欣赏傍晚的霜叶。
像霜同样洁白的叶子,比二月的花还要好看。
B.停下车来,由于要欣赏傍晚的霜叶。
经霜打过的叶子,比二月的花还要红。
C.停下车来,由于要欣赏晚秋的枫叶。
经霜打过的叶子,比二月的花还要红。
D.停下车来,由于要欣赏晚秋的枫叶。
像霜同样洁白的叶子,比二月的花还要好看。
6.选出下列句子中,标点符号错误的一句是()A.我家种着许多花,有八月菊、紫罗兰、石榴……我最喜欢的是八月菊。
B.周总理摆摆手说:“今天不吃了,等你们大家的日子过红火了,我再来你们这儿做客。
小升初尖子生测试题及答案(语文、数学、英语)
小学尖子生测试卷及答案数学卷(包括三道大题,14道小题,时间60分钟,满分80分.)一、填空题Ⅰ(本道大题包含5道小题,每道小题4分)1. 计算:111111+12222323333434491010++++⨯⨯⨯⨯⨯⨯⨯⨯⨯⨯⨯⨯ =________。
2. 有30个数:1.64, 1.64+130,1.64+230,……1.64+2930。
如果取每个数的整数部分,并将这些整数相加,那么,这些整数之和是_______。
3. 某次数学竞赛原定一等奖10人,二等奖20人,现在将一等奖中最后4人调整为二等奖,这样,得二等奖的学生平均分提高了1分,得一等奖的学生的平均分提高了3分。
那么,原来一等奖平均分比二等奖平均分多______分。
4. 在一条公路上,甲、乙两个地点相距600米,张明每小时行走4千米,李强每小时行走5千米。
8点整,他们两人从甲、乙两地同时出发相向而行,1分钟后他们都调头反向而行,再过3分钟,他们又调头相向而行,依次按照1、3、5、7……(连续奇数)分钟数调头行走。
那么,张、李两个人相遇时是8点_________分。
5. 某班在一学年中组织了三次郊游活动,有70%的学生参加了第一次郊游,80%的同学参加了第二次郊游,90%的同学参加了第三次郊游,有l2人这三次郊游都参加了,全班每人至少参加两次。
这个班有_________学生。
二、填空题Ⅱ(本道大题包含7道小题,前面每道小题6分,第12题8分)6. 在自然数中恰有4个因数的所有两位数的个数是 个。
7. 甲、乙两个盒子共装了400多个球,如果甲给乙x 个,则甲比乙少196;如果乙给甲x 个,则乙比甲少176;则x =____________。
8. 一方有难,八方支援,武汉市红十字会决定由甲、乙两个服装厂生产同一规格的成衣送往灾区。
现知每个厂的人员和设备都能全力进行上衣和裤子的生产。
但是各厂的特点不同,甲厂每月用53的时间生产上衣,52的时间生产裤子,每月生产900套成衣;乙厂每月用74的时间生产上衣,73的时间生产裤子,每月生产1200套成衣。
六年级小升初英语、数学、语文同步练习综合模拟试卷(附答案)
六年级⼩升初英语、数学、语⽂同步练习综合模拟试卷(附答案)英语⼀、根据⾸字母写出单词。
1. My friend a____ goes to school by bus.2. Today I go to the supermarket on f_____.3. My father likes to take the s _____ to work. It’s fast and safe.4. Running is good e______. It’s good for our health.5. Do come here b____ bus?⼆、⽤所给单词的适当形式填空。
1. Where ____ (be) your school?2. You must _____ (stop) at the red light.3. They _____ (wait) for their friends now.4. She usually _____ (go) home on foot.5. Look!The bus_____ (come).三、选择填空。
( ) 1. --How do you go to the park? -- ______.A. By footB. On footC. By the bike( ) 2. Tomorrow I go to Shanghai _____ plane.A. onB. byC. in( ) 3. The children go to school ____ the bus.A. byB. inC. on( ) 4. Where is the _________? I want to send a post card.A. bookstoreB. post officeC. museum( ) 5. --How does your mother usually come? --_______________________.A. She usually walks.B. I often come by bus.C. The bus is coming.四、根据要求完成句⼦。
小升初英语数学与生活的联系单选题30题
小升初英语数学与生活的联系单选题30题1.There are twenty-four hours in a day. What's half of twenty-four?A.twelveB.thirteenC.elevenD.ten答案:A。
本题考查数字计算。
二十四的一半是十二,选项 A 是twelve;选项B thirteen 是十三;选项C eleven 是十一;选项D ten 是十。
2.The clock shows three o'clock. What's the time after two hours?A.five o'clockB.four o'clockC.six o'clockD.seven o'clock答案:A。
本题考查时间计算。
三点过两个小时是五点,选项A 是five o'clock;选项B four o'clock 是四点;选项C six o'clock 是六点;选项D seven o'clock 是七点。
3.There are seven days in a week. How many days are there in two weeks?A.fourteenB.thirteenC.twelveD.eleven答案:A。
本题考查数字计算。
一周有七天,两周就是十四天,选项 A 是fourteen;选项B thirteen 是十三;选项C twelve 是十二;选项D eleven 是十一。
4.The price of a pen is five yuan. What's the price of three pens?A.fifteen yuanB.sixteen yuanC.fourteen yuanD.seventeen yuan答案:A。
本题考查数字计算。
一支笔五元,三支笔就是十五元,选项 A 是fifteen yuan;选项 B sixteen yuan 是十六元;选项 C fourteen yuan 是十四元;选项D seventeen yuan 是十七元。
人教版六年级下册英语小升初模拟卷(一)(含答案)
人教版六年级下册英语小升初模拟卷(一)(含答案)一、选出不同类的一项1.()A.comic book B.word book C.read2.()A.visit B.tonight C.tomorrow3.()A.trip B.poem C.travel4.()A.moon B.dictionary C.sun5.()A.supermarket B.cinema C.postcard二、单选题1.Show ____________ yellow.A.I B.my C.me2.—__________ that boy?—He's my brother.A.Where B.What C.Who's3.—______ is my pencil box?—It's on the floor.A.Where B.What C.How4. ____ is the weather like in Beijing?A.Where B.What C.How5.—What____ do you like?—I like PE and English.A.day B.how many C.subjects6. In summer, it is ____ in Suqian.A.cool B.hot C.warm7.— ____ are they? — They are in the parkA.Where B.What C.When8.Peter and Sarah ____ listening to music under the tree.A.is B.are C.am9.I like ________ and ________.A.danceing; swimming B.dancing; swiming C.dancing; swimming 10.I didn't like ____ before. I thought it was too hot.A.spring B.summer C.autumn三、单词拼写1.The is so tall!2.—What's your father's job?—He's a .3.They are my (蓝色毛衣)4. The elephant has a long .5.My father is a (科学家).四、补全对话选择合适的句子补全对话。
数学小学六年级小升初模拟试卷测试卷(含答案解析)[001]
数学小学六年级小升初模拟试卷测试卷(含答案解析)一、选择题1.下面各题,两种量成正比例关系的是()。
A.汽车的速度一定,行驶的时间和路程B.平行四边形面积一定,它的底和高C.圆的面积与它的半径2.如图是一个装满1立方厘米大小立方体的盒子,这个盒子的体积是()立方厘米。
A.30 B.24 C.120 D.1503.一本书看了29,还剩42页,这本书有多少页?正确的算式是( ).A.2429⨯B.242(1)9⨯-C.2429÷D.242(1)9÷-4.如图,大正三角形内有一个正六边形,正六边形与这个大正三角形的周长之比是(),面积之比是()。
A.2∶3、2∶3 B.3∶2、2∶1 C.2∶1、3∶2 D.1∶1、2∶35.如图,在相同的两个正方形里剪圆形,比较剩下部分的面积,结果是( )。
A.一样大B.甲大C.乙大D.无法确定6.下面这个立体图形,灵灵从右面看到的是()A.B.C.7.便民水果店购进了8千克樱桃,卖掉45,下面的说法中,错误的是()。
A.还剩8千克的15B.剩下的与卖掉的比是1∶5 C.还剩1千克的85 D.卖掉6.4千克8.下面说法正确的是()。
A.六年级学生今天出勤100人,缺勤2人,出勤率是98% B.射线比直线要短C.一个自然数,不是奇数就是偶数D.0除以任何数都得09.一款洗衣机,国庆节促销时降价16,促销过后又提价16,现价()原价。
A.大于B.小于C.等于10.将一张正方形的纸连续对折两次,并在折后的纸中间打一个圆孔(如图所示),再将纸展开,则展开后是()。
A.①B.②C.③D.④二、填空题11.0.05升=(________)立方厘米35小时=(________)分 1.2公顷=(________)公顷(________)平方米12.24∶()()6530===()%=()(填小数)。
13.甲数的512等于乙数的50%,甲数是乙数的(______)%,甲数比乙数多(______)。
小升初英语数学思维语法单选题40题答案解析版
小升初英语数学思维语法单选题40题答案解析版1.There are five apples and three oranges in the basket. How many fruits are there in total?A.sixB.eightC.nineD.ten答案:B。
本题考查数字的加法运算和可数名词的复数形式。
篮子里有五个苹果和三个橘子,总数是八个水果。
A 选项six 是六,不符合题意;C 选项nine 是九,也不对;D 选项ten 是十,错误。
2.Tom has two pencils. Lucy has three pencils. How many more pencils does Lucy have than Tom?A.oneB.twoC.threeD.four答案:A。
本题考查数字的比较和可数名词的用法。
Lucy 有三支铅笔,Tom 有两支铅笔,Lucy 比Tom 多一支铅笔。
B 选项two 是两支多了;C 选项three 是三支更多了;D 选项four 是四支错误。
3.There are seven books on the desk. Four of them are English books. How many books are not English books?A.threeB.fourC.fiveD.six答案:A。
本题考查数字的减法运算和可数名词的分类。
桌上有七本书,四本是英语书,那么不是英语书的有三本。
B 选项four 是英语书的数量;C 选项five 和D 选项six 都错误。
4.John has ten stickers. He gives three stickers to Mary. How many stickers does John have left?A.sevenB.eightC.nineD.six答案:A。
本题考查数字的减法运算和可数名词的数量变化。
小升初英语类数学题汇总及答案
小升初英语类数学题汇总及答案Revised on November 25, 2020小升初英语类数学题专项练习(一)1、An ant(蚂蚁) covers a distance of 90 metres in 3 hours. The average speed of the ant in decimetres(分米) per minute is____.2、3、In a certain town somepeople were affected by a ’flu’ epidemic(流感). Inthe first month 20% of thepopulation contracted the fluwhilst 80% were healthy.4、In the following month 20%of the sick people recovered and 20% of the healthy people contracted the disease.5、What fraction(分数) of the population is healthy at the end of the second month4、Mpho, Barry, Sipho, Erica and Fatima are sitting on a park bench(公园长椅). Mpho is not sitting on the far right. Barry is not sitting on the far left.Sipho is not sitting at either end(两头). 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 right5、Of the 28 T–shirts in a drawer(抽屉), 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 colour6、In an alien language(外语), jalez borg farn means “good maths skills”. Nurf klar borg means “maths in harmony” and darko klar farn means “good in gold”.7、What is “harmony gold” in this language8、Five children, Amelia, Bongani, Charles, Devine and Edwina, were in the9、classroom when one of them broke a window. The teacher asked each of them to make a statement(陈述) about the event, knowing that three of them always lie and two always tell the truth. Their statements were as follows:10、Amelia: “Charles did not break it, nor did Devine.”11、Bongani: “I didn’t break it, nor did Devine.”12、Charles: “I didn’t break it, but Edwina did.”13、Devine: “Amelia or Edwina broke it.”14、Edwina: “Charles broke it.”15、Who broke the window16、Did you know A palindrome(回文数) is a number which reads the same forwards as backwards . 35453. The year 2002 is an example of a palindromic number. What is the difference between 2002 and the number of the previous palindromic year9、If a b = a+3×b then the value of 2+2 (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 centimetres, any one mustcover before they meet again小升初英语类数学题专项练习(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, . 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) 1242、The number of diagonals that can be drawn in a regular polygon with3、twenty sides (icosagon) is_____.翻译:正20边形的对角线有几条4、Two numbers are in the ratio 2 : 3. When 4 is added to each number the ratio changes to 5 : sum(和) of the two original numbers is____.5、The greatest number of Mondays which can occur in 45 consecutive6、days is____翻译:连续45天内,最多有几个星期一7、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 mbehind 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(长方体盒子) are 84 cm2 , 70cm2and 30 volume of the box in cm3 is____.9、You have 3 weights(砝码): 1 kg, 3 kg and 9 kg as well as an equal armbalance(天平). How many different weight objects can you weigh with these three 10、[Remember the weights may be placed on either side]小升初英语类数学题专项练习(三)1.Two numbers differ by 57. Their sum is 185. Find the numbers. Choices for the smaller number:54 64 74.bus went 318 km farther than a car. The car went one third as far as the bus. How far did each vehicle(车辆) travel Choices for the smaller number: 147 151 159number 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 30 334.A clown(小丑) weights 60 lb(磅) more than a trapeze artist(空中飞人). The trapeze artist weighs two thids as much as the clown. How much does eachweigh choices for the weight of the trapeze artist : 110 120 1255. The . Senate(参议院) has 100 members, all Democrats(民主党人) or Republicans(共和党人). 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 44ninth 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 2077. Elena has one and a half times as much money as they have 225. how much money does each haveChoices for Ramom's amount;80 90 958.Western state college is 18 years older than southern state. western isalso 2 and the half times as old as southern. how old is each Choice for southern state's age:12 14 18【2015年洛阳二外小升初真题】1. When my dad celebrated his 31st birthday, I was 8 years old. Now my dad is twice the age of I am. What’s my age now2. A bottle of juice sells at the price of 1 Yuan. The juice is worth Yuan more than the bottle is. How much does an empty bottle cost3. Can you add the operations to the formula to make it correct8 __ 4 __ 2 __ 9 = 254. Please put the following numbers into the circles so that you get 40 when you add all the numbers on each side of the triangle 6, 18, 6, 9, 8, 7, 19, 4, 215. Mr. and Mrs. Bing has 7 daughters, each daughter has a brother. How many sons do Mr. and Mrs. Bing have6. What’s the next number4, 6, 10, 18, 34, _____【2013年洛阳二外小升初真题】1.There are some chickens and rabbits in a cage(笼子).You can see 9 heads at the top and 24 feet at the bottom. How many chickens and rabbits are there in the cage(6分)students were in a math contest(竞赛).The average(平均数) of their finalscore(分数) is average of the boy’s score is average of the girl’s score is many of them are boys How many of them are girls (8分)and Jim are friends. The ratio(比)of Jack’s and Jim’s pocket money is 3: Jack gives Jim 10 yuan, the ratio of their pocket money will become 5: how much money does Jack have(8分)4.Mike has a lot of apples. He needs to get them to town and sell them. Ittakes(花费)3 days to get all the apples to town with 8 big trucks. It takes8days to get 75% of the apples to town with 5 small trucks. Now Mike has 3 big trucks and 4 small trucks, how many days will it take to get all the apples to town(8分)小升初英语类数学题专项练习(一)参考答案1、单位换算 90×10÷(3×60)=52、46173、254、Erica5、抽屉原则 76、注意一一对应,borg= maths, farn=good, jalez=skills. Klar=in, Nurf=harmony, darko=gold. 答案是Nurf darko.7、Charles8、2002-1991=119、5810、 36小升初英语类数学题专项练习(二)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)÷23、3 就是求379减去6的平方的差的各位数。
六年级数学小升初英语试卷
一、选择题(每题2分,共20分)1. What is the sum of 5 + 8?A. 13B. 14C. 15D. 162. Which of the following is not a prime number?A. 7B. 9C. 11D. 133. If a triangle has sides measuring 3cm, 4cm, and 5cm, what type of triangle is it?A. ScaleneB. IsoscelesC. EquilateralD. Right-angled4. Solve for x: 2x + 6 = 20A. 7B. 8C. 9D. 105. What is the area of a rectangle with a length of 12cm and a width of 5cm?B. 120cm²C. 70cm²D. 130cm²6. Convert 1.5 meters to centimeters.A. 150cmB. 15cmC. 50cmD. 30cm7. Solve for y: 3y - 7 = 19A. 8B. 9C. 10D. 118. What is the perimeter of a square with a side length of 8cm?A. 24cmB. 32cmC. 16cmD. 28cm9. If a car travels at a speed of 60km/h for 2 hours, how far will it travel?A. 120kmB. 90kmC. 80km10. What is the volume of a cylinder with a radius of 3cm and a height of 5cm?A. 45π cm³B. 90π cm³C. 15π cm³D. 30π cm³二、填空题(每题2分,共20分)11. The product of 4 and 6 is _______.12. 7 divided by 2 is _______.13. The sum of 10 and 8 is _______.14. The difference between 18 and 5 is _______.15. The square root of 25 is _______.16. The reciprocal of 2 is _______.17. The perimeter of a rectangle with a length of 10cm and a width of 5cm is _______.18. The area of a triangle with a base of 6cm and a height of 4cm is_______.19. 3.5 meters is equal to _______ centimeters.20. The volume of a sphere with a radius of 2cm is _______.三、应用题(每题5分,共25分)21. A rectangular garden has a length of 15m and a width of 8m. What is the perimeter of the garden?22. A triangle has sides measuring 6cm, 8cm, and 10cm. What type of triangle is it? Also, find its area.23. A train travels at a speed of 80km/h. How long will it take to travel a distance of 320km?24. A cylinder has a radius of 4cm and a height of 10cm. Find its surface area and volume.25. A book has a thickness of 2cm. If there are 300 pages in the book, how much space does the book occupy in cubic centimeters?答案:一、选择题:A B D A B A A B A二、填空题:24 3.5 18 13 5 0.5 50 12 350 113.1三、应用题:21. 46m22. It is a right-angled triangle. Area = 24cm²23. 4 hours24. Surface area = 201.1cm², Volume = 502.4cm³25. 1200cm³。
小升初数学语文英语考试卷
一、数学(满分100分,时间60分钟)一、选择题(每题2分,共20分)1. 下列各数中,是质数的是()A. 25B. 27C. 29D. 302. 一个长方形的长是6cm,宽是4cm,它的周长是()A. 20cmB. 24cmC. 28cmD. 32cm3. 下列各图形中,是轴对称图形的是()A. 矩形B. 三角形C. 平行四边形D. 梯形4. 下列各数中,能被3整除的是()A. 45B. 52C. 59D. 635. 一个等腰三角形的底边长是8cm,腰长是6cm,它的面积是()A. 24cm²B. 28cm²C. 32cm²D. 36cm²二、填空题(每题2分,共20分)6. 0.25×8=___________7. 3.6÷0.6=___________8. 5+3×7=___________9. 48÷8×6=___________10. (12+15)×5=___________三、解答题(每题10分,共30分)11. 解方程:3x-4=512. 一个正方形的边长是10cm,求它的周长和面积。
13. 小明有苹果20个,小红有苹果比小明多25%,小红有多少个苹果?二、语文(满分100分,时间60分钟)一、选择题(每题2分,共20分)14. 下列词语中,字形、字音完全正确的是()A. 操场(cāo chǎng)B. 里面(lǐ miàn)C. 里面(lǐn miàn)D. 操场(cāo chàng)15. 下列句子中,用词不当的是()A. 这个苹果很甜。
B. 我非常喜欢音乐。
C. 他跑步的速度很快。
D. 我把作业做完了。
16. 下列各句中,句式错误的是()A. 这个问题很难解答。
B. 她跳舞跳得很好。
C. 我很喜欢吃水果。
D. 他学习很努力。
17. 下列各句中,标点符号使用错误的是()A. 我喜欢看书,因为看书可以增长知识。
2024年9月吉林省白山市小升初数学六年级常考应用题测试一卷含答案解析
2024年9月吉林省白山市小升初六年级数学常考应用题测试一卷含答案解析学校:________ 姓名:________ 考号:________ 得分:________一、应用题(精选120题,每题1分。
一、审题:在开始解答前,应仔细阅读题目,理解题目意思、数量关系、问题是什么,以及需要几步解答;二、注意格式:正确使用算式、单位和答语;三、卷面要求:书写时应使用正楷,尽量避免连笔,字迹稍大,并注意排版,确保卷面整洁;四、π一律取值3.14。
)1.小玮看一本书.这本书我已经看了168页,还剩下3/7没有看.这本书一共有多少页?2.一个工程队铺一条路,每天铺0.5千米,铺了10天后,超过中点0.2千米,这条路全长多少千米?3.甲、乙、丙三人去旅游,甲买了3千克苹果,乙买了6个面包,丙买了3瓶水,乙花的钱是甲的12/13,丙花的钱是乙的2/3,所以丙根据这三种商品的价钱拿出3元钱分给甲和乙,甲乙各应得多少钱?4.小学组织春游,同学们决定分成若干辆至多可乘32人的大巴车前去.如果打算每辆车坐22个人,就会有一人没有座位;如果少开一辆车,那么,这批同学刚好平均分成余下的大巴.那么原来有多少同学?多少辆大巴?5.甲、乙两车从相距675千米的两地相对出发,甲每小时行45千米,乙每小时行60千米,甲先行1小时后,乙才出发,再经过几小时两车才能相遇?6.甲乙两车从相距104千米的两地出发去货场取货(乙车在前).甲车每小时行64千米,乙车每小时行48千米.途中甲车出故障停车修理半小时,甲乙两车相遇时各行了多少千米.7.一项工程,甲、乙、丙三人合作13天完成,如丙休息2天,乙就要多做4天,或由甲、乙两人合做多做1天.这项工程由乙独做多少天完成.8.李强、王明分别从两地同往滑雪场(滑雪场在两地之间)共行了14小时,两地相距65千米,已知李强每小时行5.5千米.王明每小时行4千米,求两人到达滑雪场各行了几小时?9.中心小学去参观“飞向太空--中国载人航天展”.四、五年级一共去了264人,四年级去的人数是五年级的1.2倍.四年级去了多少人?10.一个三角形和与它等底等高的平行四边形的面积之和是27平方厘米.这个平行四边形的面积是多少平方厘米.11.两只轮船从相距654千米的两个码头相向而行,8小时后相距390千米.甲船每小时行15千米,乙船每小时行多少千米?12.甲数除以乙数的商是3,甲数与乙数的和是180,则甲数是多少?13.要铺一块62平方米的地,先铺34平方米用方砖850块,余下的还要多少块这种方砖?14.甲、乙两个仓库共有900吨货物,从甲仓库运出20%到乙库,这时甲,乙两仓库的货物一样多,求甲、乙仓库原来分别有多少吨货物.15.化肥厂生产一批化肥,每天生产40吨,需30天完成.如果要24天完成任务,每天应生产多少吨?(用比例知识解)16.王刚背英语单词,平均每天背5个单词,照这样计算,七、八两个月他一共可背多少个单词?17.工人师傅要修一条公路,已经修了52.4千米,剩下的比修好的1.5倍多2.8千米,还剩多少千米没修?18.甲、乙、丙三人沿着200米的环形跑道跑步,甲跑完一圈要1分30秒,乙跑完一圈要1分20秒,丙跑完一圈要1分12秒,三人同时、同向、同地起跑,最少经过多少时间又在同一起跑线上相遇?相遇时甲、乙、丙三人各跑了多少圈?19.修一段690米长的公路,已经修了150米.剩下的准备3天修完,平均每天修多少米?20.有一个长方形菜地,长是25米,宽是12米。
2024年9月辽宁省沈阳市小升初数学六年级常考应用题测试一卷含答案解析
2024年9月辽宁省沈阳市小升初六年级数学常考应用题测试一卷含答案解析学校:________ 姓名:________ 考号:________ 得分:________一、应用题(精选120题,每题1分。
一、审题:在开始解答前,应仔细阅读题目,理解题目意思、数量关系、问题是什么,以及需要几步解答;二、注意格式:正确使用算式、单位和答语;三、卷面要求:书写时应使用正楷,尽量避免连笔,字迹稍大,并注意排版,确保卷面整洁;四、π一律取值3.14。
)1.一块梯形树林,上底长80米,下底长95米,高50m,如果平均每棵树占地2.5平方米,这块地可以种树多少棵?2.一块梯形水稻试验田,上底是200米,下底是360米,高是300米,如果每公顷收小麦6吨,这块试验田约收小麦多少吨?3.一辆旅游客车从起点开往风景地,行了全程的3/5,剩下的路程,如果每小时行88(1/3)千米,6小时可以到达.从起点到风景地有多少千米?4.甲乙两车同时去相距200千米的菜地,乙车速度是甲的5/7,结果甲车比乙车早到36分,求甲车行全程所需时间.5.一件商品降价8折出售,便宜了26元,原价是多少元?6.两辆汽车同时从A、B两个城市出发,背向而行,2.2小时后辆车相距680千米.甲车每小时行80千米,乙车每小时行85千米,A、B两城相距多少千米?7.仓库里有货物750吨,第一次运走全部货物的1/3,第二次运走全部货物的40%,仓库里剩下的货物多少吨?8.甲、乙两城相距288千米,一辆客车以每小时48千米的速度从甲城开出,4小时后距乙城还有多少千米?9.一块梯形麦田,它的面积是720m2,上底是23m,下底是25m,这块麦田的高是30m.10.小明早上从家步行到学校去,当他走了一半路程的时候,爸爸发现小明的脑图本忘带了,随即开车给小明送书.当爸爸开车追上小明时,小明距学校还有3/10的路程.随后小明坐上爸爸的车子前往学校.刚好比步行提前了5分钟到达学校.那么小明从家到学校全部步行需要多少时间?11.修一段公路,已修了90米,比未修的少70%,这条公路还有多少米未修?12.一个三角形的底是4.8分米,面积是7.68平方分米.它的高是多少分米?13.一本书共192页,小强每天看24页,小明每天看32页,小强比小明迟几天看完?14.货车和客车分别从相距655千米的甲、乙两地同时相向而行,经过4.5小时,两车相距25千米.已知货车每小时行60千米,客车每小时行多少千米?15.三根钢管的长分别是15米、20米和35米,要把它们锯成一样长的钢管而且不浪费,那么每根最长多少米?这样一共可以锯成多少根?16.一辆汽车从甲地开往乙地,如果每小时行78千米,要3.5小时到达,现要求提前半小时到达,平均每小时要行多少千米?17.一个长方体的蓄水池,从里面量长7.6米,宽5米.如果池中已蓄水22.8吨,池中水深多少米?(每立方米水重1吨,列方程解)18.一项工程,甲单独做要15天完成,乙单独做要30天完成,丙独做要45天完成.现在三队合作,中途甲休息了2天,乙休息了4天,丙休息了9天.完成这项工程共需多少天?19.甲仓存粮是乙仓的4/5,后来甲仓增加粮食44吨,这时甲、乙两仓存粮吨数之比是7:6,现在甲仓存粮多少吨?20.商店进了150个中国结,卖了2天还剩12个,平均每天大约卖多少个?21.看一本书,第一天看了24页,第二天看了全书的25%,第二天看的页数比第一天多50%,这本书共多少页?22.厦门和福州相距255千米.甲、乙两列火车同时从福州和厦门相对开出,0.75小时后两车相遇,甲车每小时行160千米,乙车每小时行多少千米?(列方程解决问题)23.星光小学五年级学生有580人要参加秋游,每辆车准载30人,一共要准备多少辆车才能载完这些学生.24.有84个红气球,其中红气球和黄气球的比是7:5,黄气球有多少个,(用比例的知识解答)25.一个三角形田,底长90米,高80米.在这块田种上油菜,共收油菜籽2430千克,平均每公顷收油菜籽多少千克?26.在一块长180米,宽50米的地里栽枣树,株距4米,行距3米,共可以栽多少棵枣树?27.学校食堂买了156千克青菜,吃了4天后还剩64千克.平均每天吃多少千克青菜?28.A、B两地相距915千米,甲火车从A地开往B地,3小时后乙火车从B地开往A地,已知甲车每小时行80千米,乙车每小时行70千米.乙车开出几小时后与甲车相遇?29.甲、乙、丙三个小朋友去买雪糕,如果用甲带的钱去买三根雪糕,还差0.63元;如果用乙带的钱去买三根雪糕,还差0.8元;如果用三个人带的钱去买三根雪糕,就多了0.27元;已知丙带了0.41元,那么买一根雪糕要用多少元.30.机床厂要加工一批机床,原计划每天加工80台,15天完成,由于技术革新,实际每天比原计划多加工50%,实际用多少天完成任务?(用比例知识解)31.妈妈用288元买了同样的3件上衣和3条裤子,已知每件上衣比裤子贵4元,那么上衣、裤子的单价分别是多少元钱?32.春风小学四、五年级学生春游去划船,四年级有60人,五年级有75人。
小升初英语奥数题
英语数学题Part Ⅰ: Questions 1 to 10, 10 marks each1.At the right is shown a 4 × 4 grid. We wish to fill in the grid such that each row, each column, and each 2 × 2 square outlined by the thick lines contains the digits 1 through 4. Some grids have already been filled in. Find the number of ways we can complete the rest of the grid.Answer :2.The areas of the faces of a cuboid are 84 cm 2, 70 cm 2 and 30 cm 2. Find the volume of the cuboid in cm 3.Answer :3.The fractioncan be wrritten in the formwhere the greatest 3331113*********++++++++nmcommon divisor of m and n is 1, Find m +n . Answer : 4.Find the sum of all the integers N > 1 with the properties that the each prime factor of N is either 2, 3, 5 or 7, and N is not divisible by any perfect cube greater than 1.Answer :5.A large fresh water reservoir has two types of drainage system, small pipes and large pipes. 6 large pipes, on their own, can drain the reservoir in 12 hours. 3 large pipes and 9 small pipes, at the same time, can drain the reservoir in 8 hours. How long will 5 small pipes, on their own, take to drain the reservoir?Answer : minutes 6.At a local village gala, the entire population turned up, 500 people. The event raised £3,000. Tickets were priced as follows: £7.48 per man, £7.12 per woman and £0.45 per child. How many children were there?Answer :7.Each of the distinct letters in the following addition problem represents a different digit. If A=4, find the number represented by the word “MEET”.Answer :8.Let two 8×12 rectangles share a common corner and overlap. The distanceT M ER E C L O U E P E T P M +from the bottom right corner of one rectangle to the intersection point along the right edge of that rectangle is 7. What is the area of the shaded region?Answer : 9.A spy had to send the 4-digit code to headquarters. For security reasons, he sent abcd instead the 9 separate 4-digit codes shown. In each of the 9 codes, at least one of the digits a , b , c , and d occurs in its correct position. What is the value of ?abcd Answer :10.In how many ways can one arrange the numbers 21, 31, 41, 51, 61, 71 and 81 such thatthe sum of every four consecutive numbers is divisible by 3?Answer :Part Ⅱ: Questions 11 to 14, 20 marks each11.Town A and town B are connected by a highway, with a service station at the midpoint. Mikeand Sam start from A to B at the same time. When Mike reaches the service station, Sam is 16 km behind. Mike reduces speed by 25% after he passes through the service station. When Sam reaches the service station, Mike is 15 km ahead of Sam. What’s the distance between A and B ?Answer :12.Given: ABCD is a trapezoid, AD ∥BC , AD :BC =1:2, ,:1:3AOF DOE S S ∆∆=, Find the area of .224cm BEF S ∆=AOF ∆Answer :13.In how many different ways can the seven empty circles in the diagram onthe right be filled in with the numbers 2 through 8 such that each number is used once, and each number is either greater than both its neighbors, or less than both its neighbors.Answer : 14.How many rectangles are there in the diagram on the right such that the sum of thenumbers within the rectangle is a multiple of 4?Answer :CB1234567810141115129161315.What is the sum of the digits of the following product 9999×6666 ?Answer: ________16. A digit is placed in each empty square in the grid to the right so that each row contains each of the digits 1, 2, 3, 4, 5 and each column (纵队)contains each of the digits 1, 2, 3, 4, 5. What digit is placed in the square at the bottom right corner of the grid?Answer: ________17. If you continue the given number pattern, in what row will the number 2009 be? 7 -------------- row 1 14 21 -------------- row 2 28 35 42 -------------- row 3 49 56 63 70 -------------- row 4Answer: ________18. Dave can answer each problem on a certain test in 6 minutes. Michael can answer each problem in 1 minute. Suppose Michael rests for two hours in the middle of answering the problems but Dave works straight through the test without stopping. Suppose further that they finish the test at the same time. How long did it take Dave to answer all the problems?Answer: ________ minutes19. There are eight different 2-digit numbers , , , , , , and . AD BA BG CE DB DH EF FC They are less than 70 and all divisible by 7. Each of the distinct letters represents a different digit. The same letter represents the same digit. Given E =5, what is G ?Answer: ________20. There are 7 identical circles in the figure and each area is 10. Find the area of shaded region. Answer: ________21. In a certain class consisting of 54 students, some boys and some girls, exactlyof the boys 47and exactlyof girls walk to school. What is the greatest possible number of students in this 35class who walk to school?Answer: ________22. Each of the distinct letters in the following addition problem represents a different digit. If A=4, find the number represented by the word “MEET”.Answer: ________A T M E R E C L O U E P E T A A AA A P M+23. In how many ways can one arrange the numbers 21, 31, 41, 51, 61, 71 and 81 such that the sum of every four consecutive numbers is divisible by 3?Answer: ________24. Balls of the same size and weight are placed in a container. There are red, yellow and blue 3 different colors and 15 balls in each color. If we want to get X red balls, Y yellow balls and Z blue balls from the container, with , then find the number of all possible 133X Y X Z Y ≥-≥-≥,,ways.Answer: ________25. Town A and town B are connected by a highway, with a service station at the midpoint. Mike and Sam start from A to B at the same time. When Mike reaches the service station, Sam is 16 km behind. Mike reduces speed by after he passes through the service station, and Sam increases 15speed byafter he passes through the service station. Finally, they arrive at B at the same time. 14What’s the distance between A and B ?Answer: ________26. Given: ABCD is a trapezoid, AD ∥BC , AD :BC =1:2, , :1:3AOF DOE S S ∆∆=, Find the area of ?224cm BEF S ∆=AOF ∆Answer: ________27. (1)How many rectangles are there in the diagram on the right such that the sum of the numbers within the rectangle is a multiple of 2?Answer: ________(请将答案填在答题纸第13题的位置处)(2) How many rectangles are there in the diagram on the right such that the sum of the numbers within the rectangle is a multiple of 4?Answer: ________(请将答案填在答题纸第14题的位置处)CB12345678101411151291613。
小升初数学应用英语阅读理解15题
小升初数学应用英语阅读理解15题1. Tom has 5 apples. He gives 2 apples to his friend. How many apples does Tom have now?A. 2B. 3C. 4D. 5答案解析:B。
Tom 原本有5 个苹果,给了朋友2 个,5 减2 等于3。
A 选项是给出的数量;C 选项计算错误;D 选项是原来的数量。
本题考查简单的数学减法运算和阅读理解能力。
2. There are 8 pencils in a box. Lucy takes out 3 pencils. How many pencils are left in the box?A. 3B. 4C. 5D. 6答案解析:C。
盒子里有8 支铅笔,Lucy 拿出3 支,8 减3 等于5。
A 选项是拿出的数量;B 选项计算错误;D 选项也计算错误。
本题考查减法运算和阅读理解。
3. Mike has 10 stickers. He divides them equally among 2 friends. How many stickers does each friend get?A. 4B. 5C. 6D. 8答案解析:B。
10 张贴纸平均分给2 个朋友,10 除以2 等于5。
A 选项计算错误;C 选项和D 选项也不对。
本题考查除法运算和阅读理解。
4. There are 12 students in a class. 6 students are boys. How many students are girls?A. 4B. 6C. 8D. 10答案解析:B。
班级里有12 个学生,6 个是男生,12 减6 等于6,所以女生有6 个。
A 选项计算错误;C 选项和 D 选项也不对。
本题考查减法运算和阅读理解。
5. Lily has 7 books. She buys 3 more books. How many books does Lily have in total?A. 9B. 10C. 11D. 12答案解析:B。
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2104书人春季六年级英语数学题冲外模拟题
Part I: Questions 1 to 10, 10 marks each
1. At the right is shown a 4
4⨯grid. We wish to fill in the grid such that each row, each column, and each 2
2⨯square outlined by the thick lines contains the digits 1 through 4 . Some grids have already been filled in. Find the number of ways we can complete the rest of the grid.
Answer:
2. The areas of the faces of a cuboid are 842
cm and 302
cm.Find the
cm,702
volume of the cuboid in 3
cm.
Answer:
3. The fraction can be written in the
n
form
m
where the greatest common divisor of m and n is 1, Find n
m+.
Answer:
只供学习与交流
只供学习与交流
4. Find the number of all the integer N>1 with the properties that the
each prime factor of N is either 2,3,5 or 7, and N is not divisible by any perfect cube greater than 1. Answer:
5. A large fresh water reservoir has two types of drainage system, small pipes. 6 large pipes, on their own, can drain the reservoir in 12 hours. 3 large pipes and 9 small pipes, at the same time, can drain the reservoir in 8 hours. How long will 5 small pipes, on their own, take to drain the reservoir?
Answer: minutes
6. At a local village gala, the entire population turned up, 500 people. The event raised £3,000.Tickets were priced as follows: £
7.48 per man, £7.12 per woman and £0.45 per child. How many children were there? Answer:
7. Each of the distinct letters in the following addition problem represents a different digit. If A=4, fin the number represented by the word “MEET ”. Answer:
8. Let two 12
8 rectangles share a common corner and overlap. The distance from the bottom right corner of one rectangle to the intersection point along the right edge of that rectangle is 7. What is the area of the shaded region?
9. A spy had to send the 4-digit code abcd to headquarters. For security reasons, he sent instead the 9 separate 4-digit codes shown. In each of the
9 codes, at least one of the digits ,,,c b a and d
What is the value of abcd?
Answer:
只供学习与交流
只供学习与交流
10. In how many ways can one arrange the numbers 21,31,41,51,61,71and 81 such that the sum of every four consecutive numbers is divisible by 3? Answer:
Par t Ⅱ:Questions 11 to 14, 20 marks each
11. Town A and town B are connected by a highway, with a service station at the midpoint. Mike and Sam start from A to B at the same time. When Mike reaches the service station, Sam is 16 km behind. Mike reduces speed by 25% after he passes through the service station. When Sam reaches the service station, Mike is 15 km ahead of Sam. What ’s the distance between A and B? Answer:
12. Given: ABCD is a trapezoid, AD//BC, AD: BC=1:2,3:1:=∆∆DOE AOF S S ,
224cm S BEF =∆, Find the area of AOF ∆.
Answer:
只供学习与交流
13. In how many different ways can the seven empty circles in the diagram on the right be filled in with the numbers 2 through 8 such that each number is used once, and each number is either greater than both its neighbors, or less than both its neighbors.
Answer:
14. How many rectangles are there in the diagram on the right such that
1
the sum of the numbers within the rectangle is a multiple of 4? Answer:
只供学习与交流。