2024年新加坡六年级国际数学竞赛试题（Sasmo)

SASMO 2024,Primary 6(Grade 6)Contest Section A has 15 questions.(Correct answer-2 palntsl No answer-0 polntel Incorrect anwer-minus 1 polnt) Sect0nA包含15道题E-2分1不落-0分1不正期-过1分) Question 1 月nd the sum of all diglts of the following product.计算下列数乘积的各位敢和 7245×3333 A25 B.35 C.36 D.37 E.None of the above以上苦非 Questlon 2 Eighteen days before the day after tomorrow was Wednesday.Which day of the week was yesterday? 后天的18天前是周三，请问昨天是间几？ A.Thursday B.Frday C.Saturday D.Sunday E.None of the above SASMO 2024,Primary 6(Grade 6)Contest Question 3 The difference between two whole numbers is 2024.The quotient of these two numbers is 12.FInd the sum of the two numbers. 两个路数的差是2024.这两个数的商是12，求出这两个数的和， A.184 B.2024 C2208 D.2392 E.None of the above以上皆非 Question 4 How many 3-digit number multiples of 14 and 21 are there? 有多少个三位数旺是14又是21的倍数？ A22 B.21 C.20 D.3 E.None of the above以上皆 2 SASMO 2024,Primary 6(Grade 6)Contest Question 5 What is the next numb2rinh2 sequence below?找规催，下-个数是多少？ 2.3.7.16.32.57.… A.75 B.82 C.93 D.106 E.None of the above以上皆非 Questlon 6 A prime number is a whole number that has exactly 2 factcrs:1 and itsel.For example,2 and 11 are prime numbers,and 1 and 4 are no:prime numbers.How many three-diglt multiples of 3 have all of thelr diglts as pnme numbers? 质数是指只有两个因子的整数：1和它本身。例如，2和11是质数，而1和4不是质 数.有多少个三位数是3的倍数且各个位数上的数字都是质数？ A.10 B.12 C.16 D.22 E.None of the above以上暂非 3 SASMO 2024,Primary 6(Grade 6)Contast Question 7 Whole numbers from 1 to 2024 are divlded by 7.There is a remalnder in each divlslon.What is the sum of all these remainders? 从1到2024的所有整数都技7除，每个除法有余数.所有这些余数的和是多少？ A6070 B.6069 C.42484 D.2024 E.None of the above以上皆 Question 8 How many numbers are there in the llst below? 找规律，下列数列共有多少个数 27,40,53,66,,456 A.34 8.33 C.32 D.31 E.None of the above SASMO 2024,Primary 6(Grade 6)Contest Question 9 Find the area (in cm2)of the shaded reglon given that each square in the grid below has a side lengtn of 4 cm. 如图所示，下列方格中每个正方形边长都是4cm,求阴影很形面积（以c为单位） A1904cm3 B.1008cm C.119cm2 D.63 cm2 E.None of the above以上皆非 Question 10 Sarah has 4 different coloured marbles:red,blue,green and yellow.In how many ways car she arrange these marbles n a row such that the yellow and red martles are not placed next to each other? Sarh有4个不同顺色的弹珠：红色、蓝色、绿色和黄色。地有多少种方法可以将这 些弹珠排成一排，使得黄色和红色弹味不相邻？ A.24 B.18 C.12 D.6 E.None of the above以上昔非 5 SASMO 2024,Primary 6(Grade 6)Contest Question 11 A basket stats with a welght of 8 kg when empty.When it Is 25%empty,it has 171 apples more than when it is 18%full.Given that each apple welghs 400 grams, what is the total weight (in kg)of the basket when it is filled with apples? 一个空篮子的重量是8kg.当它有25%为空时，它比装18%时多了装171个苹果，假 设每个苹果更400g,当蓝子装满苹果时，它的总臣量是多少kg? A.120k3 B.128k妇 C.300 kg D.308 kg E.None of the above以上皆 Questlon 12 For whole numbers A,B,C and D it is glven that 对于整数A,B,C,有以下等式 99 38=A+ B+1 C+ What is the value of A+B+C+D? 求A+B+C+D的值 A.11 8.10 C.9 D.6 E,None of the above以上皆非 6 SASMO 2024,Primary 6(Grade 6)Contest Question 13 In a university dub,the ratio of scence majors to art majors is 13:27.Among the club members,45%are Interested in photography,whlle the others are not. Twenty-three art majors are interested in photography,and 8 sclence majors are not irterested in photography.How many art majors are not interested In photography? 在一个大学牡团中，理科专业和人文专业的比例是13：27.在社团成员中，有45%对 摄彤感兴趣，而其他人则不盛兴趣.有23名人文专业学生对拥影兴趣，而有8名理 科专业学生不兴迎。问有多少名入文专业学生对损脱不感兴趣？ A.4 B.31 C.58 D.81 E.None of the above以上曹非 Question 14 W'orking together,a group of 12 workers can complete 30 tasks in 15 minutes.At the same pace,how many wokers are requlred to accomplish 45 tasks in 7.5 minutes? 一组12名工人一起工作，可以在15分钟内完成30项任务.以相同的速度，在7.5分 钟内完成45项任务需要多少名工人？ A.6 B.18 C.36 D.45 E.None of the above以上i非 7 SASMO 2024,Primary 6(Grade 6)Contest Question 15 Which option is the correct rotation of the figure below? 如图所示，一项是该困形的旋转翻？ B 82024 SASMO G6后五颗解析 0CE 2 J 4 A 0 0 ◇ 7 0 9 10 0 A A 8 c 11 12 a 14 15 8 A c c E 18 17 10 10 20 0027 0483 0c19 3000 0007 21 22 2为 24 25 067 0216 0140 3000 Omi 210567 可从历有数中.改去不但合女字2的 1一位北8个 2二位数8×9=72个 ,3三位故8×9x9=648个 4四位批9×9x9=729个 2024-(8+72+64+729)=567个.枚5￥为0567 22.0216 由于数学比页教的两伯还多.邢么页数至少见三位数 设贞数为x:（x-99)×3+90×2+9=2.5.x 屏3：x=216 当们好过216时.伯数也合比2.5划大.敢昝案为0216 2).0140 2024× 2*6*1821 2070 =2024× 45x46 =2024× 1Ⅱ12121313144546 =2024× 1146 =184-44 =140 苔米为0140 24.0033 百先由于各入字日代夫数字不同.且是五位数如四位数.所以A=S+】,且千位数必厌避 位.面又因为百位一定不俟进位，历以A+2之0.于是A顾且能为8成9.同阻.十位数 也必扇迁位.则/+2之9 】当A=8时.S=7.F=0.击于数字不俊复，所以M=9。R=I一个仪不能 进位.B么处后可9O=2,D=6.皮文. 2当A▣9时.S=8.开=1.由千数字不他重复.所以1=7，R=0一个伯必厌 进位.思久处后可母委么O和其位数字通复.发么D和他数字玉复，不饭立. 探上78792-2024=80816.7+8+749+2▣JJ,符发为00]3. 25.0uil、_SASMO 2024,Primary 6(Grade 6)Contest Section B has 10 questions.(Correct answor-4 polntsI Incorrect or No answer-0 points) Sec0nB包含10道亚（回的正确-4分1巴件R成由不图#0分） When an answer is a 1-digit number,shade"0"for the tens,hundreds and thousands place. Erample:if the answer is 7,then shade 9007 When an answer is a 2-digit number,shade"0"for the hundreds and thousands place. Erample:if the answer is 23,then shade 0023 When an answer is a 3-digit number,shade"0"for the thousands place. Example:if the ansiver is 785,then shade 0785 When an answer Is a 4-digit number,shade as it is. Ecample:if the answer is 4196,then shade 4196 当答案是个位数时，请在十位、百位和千位处涂上“0” 如：如果答突是7，请游0007. 当答案是两位数时，请在百位和千位处涂上0” 如：如果容菜是23，涂0023 当答案是三位数时，请在干位处涂上“门”， 6Q0:0果答是785，清涂2785. 当答案是四位数时，请直接涂出答案。 刚0：加果答宽是4196，谛涂196. Questlon 16 How many triangles are there in the figure below?如图所示，请问共有多少个三角 形？ 9 SASMO 2024,Primary 6(Grade 6)Contest Question 17 Wha:is the smallest 3-digit multiple of 4 whose digits sum up to 20? 一个三位数是4的倍数且各个位数上的跋字和为20，请问这个三位数最小是多少？ Questlon 18 What is the mlssing number in the patte below? 找规谁，讳问下团中缺失的数是多少？ 11 14 14 10 SASMO 2024,Primary 6(Grade 6)Contest Question 19 In 24 hours,the distarce travelled by the tip of the minute hand of a dock is 36 times the distance covered by the hour hand of the same clock.If the length of the hour hand on this dock is 23 cm,what is the length (in cm)of the minute hand? 24小时中，时钟分针的尖端所走的距腐是相同时钟的时针尖端所走距离的36倍，如 果该时钟的时针长度为23am,那么分针指针的长度是多少cm,? Questlon 20 Curing a coffee break,Emily and Frank engage in a conversation. Emlly:I have three plants.If we multlply thelr pot numbers,we get 144,and the sum of their pot numbers is the foor number we are currently'on. Frank:I know the floor number,but I'm stlll unsure about thelr pot numbers. Emily:My mlstake,I fergot to mentan that all the pot numbers are different and my plant wth the smallest number has an even number on it. Frank:An,now I know thelr pot numbers. W/hat Is the difference between the largest and smallest pot numbers? 在空闲时间，Emly和Frank进行了如下对话. 6y:我有三盆植物.如果我们把它们的花盆编号相乘，得到144，而它们的花盆偏 号的和就是我们目前所在楼展的层数， Frank:我知道楼层层数，但我仍然不确定它们的花盆编号. Bmy:泡歇，我忘了提到所有的花往皖号都不同，而且我棉号最小的植物上有一个数 是偶数， Frank:啊，现在我知道它们的花盆偏号了. 诗问晟大和最小花盆编号之间的染是多少？ 11 一 SASMO 2024,Primary 6(Grade 6)Contest Question 21 How many whole numbers from 1 to 2024 contain the diglt "2? 从1到2024的整数中，有多少个整数包含数字2？ Questlon 22 The number of diglts used to number the pages of a book is 2.5 times the number of pages of the book.How many pages are there in the book? 一本书用于编页的敬字个数是这本书页数的2.5倍、这本书有多少页？ 12 SASMO 2024,Primary 6(Grade 6)Contest Question 23 Find the value of the following.求值 2024×(最+6+品++) 13 一 SASMO 2024,Primary 6(Grade 6)Contest Question 24 Ir.the fo lowing cryptarithm,all the different letters stand for different digits.What is the value of the sum S+A+S+M+O? 在以下密码慎术可愿中，不同的字母代衷不同的数字，求S+A+S+M+0的值是多 少？ S AS M O 2024 A WA R D 14 SASMO 2024,Primary 5(Grade 6)Contest Question 25 Study the pattem below.What is the value of the missing number? 找规律，缺失的数是廓个？ ★ 女 ★女 ★ ★ 女 女 女 ★ ★ ★ 女 ★ ★ ★ ★ 21 34 36 68 END OF PAPER 15