2024年新加坡高级学府数学竞赛（SASMO）四年级竞赛数学试卷

SASMO 2024,Primary 4(Grade 4)Contest Section A(Correct answer-2 points|No answer-0 points|Incorrect answer-minus 1 point) Section A（(正确-2分1不回答-0分I不正确-减1分) Question 1 Find the value of the following product. 求下列式子的积 64×15×75×125 A.9000000 B.4500000 C.2250000 D.900000 E.None of the above以上皆非 Question 2 What number is one-third of one-fourth of one-fifth of 1620? 什么数是1620的五分之一的四分之一的三分之一？ A.135 B.108 C.81 D.27 E.None of the above以上皆非 1 SASMO 2024,Primary 4(Grade 4)Contest Question 3 Which of the following options do you less likely to spin? 以下选项中，你旋转到哪一个选项的可能性最小？ 10 9 3 8 4 6 A.An even number一个偶数 B.An odd number一个奇数 C.A number which is greater than6一个比6大的数 D.A multiple of33的倍数 E.A multiple of44的倍数 SASMO 2024,Primary 4(Grade 4)Contest Question 4 What is the missing piece of the figure below? 如图所示，缺失的是哪一个图案？ B. Question 5 Eleven days before the day after tomorrow was Thursday.Which day of the week was yesterday? 后天的十一天前是星期四。请问昨天是星期几 A.Thursday星期四 B.Friday星期五 C.Saturday星期六 D.Sunday星期日 E.None of the above以上皆非 3 SASMO 2024,Primary 4(Grade 4)Contest Question 6 The diagram shows some cubes of the same size stacked at a corner of a room.How many additional cubes must be added to the figure to form the smallest possible larger cube? (Note:The floor is horizontal and the two walls are vertical.There are no gaps or holes behind the visible cubes.) 如图所示，一些大小相同的立方体堆叠在房间的一个角落。为了堆叠出一个较大立方 体，请问最少需要添多少个额外的立方体？ (注：地板是水平的，两面墙是垂直的。立方体后面没有缝隙或孔洞。) A.56 B.57 C.58 D.59 E.None of the above以上皆非 Question 7 How many numbers are there in the list below? 下列序列共有多少个数字？ 23,40,57,74,,465 A.28 B.27 C.26 D.25 E.None of the above以上皆非 SASMO 2024,Primary 4(Grade 4)Contest Question 8 A shop has a special offer:for every 8 empty cola cans returned,customers can exchange them for one can of cola.Alex has just enough money to buy 113 cans of cola.What is the greatest number of cola cans that Alex can obtain? 商店有一项特别优惠：顾客每拿回8个空的可乐罐，可以换取一罐可乐。Ax刚好有 足够的钱买113罐可乐。Alex最多可以获得多少罐可乐？ A.120 B.126 C.127 D.128 E.None of the above以上皆非 Question 9 The prices for different car rental options are as follows: Option A:$25 per 100 miles .Option B:$40 per 200 miles .Option C:$50 per 250 miles .Option D:$70 per 400 miles Which car rental option offers the best rate per mile? 不同汽车租赁服务的价格如下： .0 ption A:每100英里25美元 ·0 ption B:每200英里40美元 ·Option C:每250英里50美元 ·0 ption D:每400英里70美元 请问哪种汽车租赁服务提供了每英里最优惠的价格？ A.Option A B.Option B C.Option C D.Option D E.Options B and C SASMO 2024,Primary 4(Grade 4)Contest Question 10 Samantha is four times as old as Alex now.If Samantha's age 17 years ago is equal to Alex's age 13 years from now,how old is Samantha now? Samantha现在的年龄是Alex的四倍。如果Samantha 17年前的年龄等于Alex 13年 后的年龄，请问Samantha现在的年龄是多少？ A.10 B.20 C.30 D.40 E.None of the above以上皆非 Question 11 The large rectangle below is made up of 4 identical rectangles.Given that the perimeter of the small rectangle is 144 cm,what is the area (in cm2)of the shaded region? 如图所示，大矩形由4个相同的矩形组成。如果小矩形的周长为144厘米，请问阴影 区域的面积是多少（以平方厘米表示）？ A.1944cm2 B.3888cm2 c.972cm2 D.1494cm2 E.None of the above以上皆非 6 SASMO 2024,Primary 4(Grade 4)Contest Question 12 Liam,Mia and Ethan contributed a total of 342 points to a game.Mia scored 23 points more than Liam,while Ethan accumulated five times the combined points of Liam and Mia.How many points did Ethan score in the game? Liam,Mia和Ethan总共在游戏中赢得了342分。Mia比Liam多得23分，而Ethan 积累的分数是Liam和Mia分数和的五倍。Ethan在游戏中得了多少分 A.17 B.40 C.285 D.300 E.None of the above以上皆非 Question 13 Study the pattern below.What is the value of the missing number? 找规律，请问缺失的数是多少？ 65 98 124 310 2 5 8 5 8 A.157 B.715 C.155 D.57 E.None of the above以上皆非 > SASMO 2024,Primary 4(Grade 4)Contest Question 14 Which one is the odd one out?哪个图形和别的不同？ A. B. Question 15 Alice,Brandon,Caleb and Diana are comparing the number of books they read. Diana:I read the most number of books. Caleb:I read more.books than Alice,but someone read more than me. Brandon:I did not read the most number of books. Alice:I read the fewest number of books. All 4 of them read different numbers of books.If one of them is lying,can you rank the number of books they read from the most to the fewest? Aice,Brandon,Caleb和Diana正在t比较他们读书的数量。 Diana:我读书的数量最多。 Caleb:我读书的数量比Aice多，但有人读的l比我多。 Brandon:我没有读最多数量的书。 Alice:我读书的数量最少。 他们四个人读书的数量各不相同。如果其中有一人在说谎，你能将四个人按读数数量 的从多到少的顺序排列么？ A.Diana,Alice,Caleb,Brandon B.Diana,Caleb,Brandon,Alice C.Brandon,Alice,Caleb,Diana D.Diana,Caleb,Alice,Brandon E.None of the above以上皆非 8 SASMO 2024,Primary 4(Grade 4)Contest Section B(Correct answer-4 points|Incorrect or No answer-0 points) Section B(回答正确一4分1回答错误或者不回答-0分) When an answer is a 1-digit number,shade"0"for the tens,hundreds and thousands place. Example:if the answer is 7,then shade 0007 When an answer is a 2-digit number,shade"0"for the hundreds and thousands place. Example: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 answer is 785,then shade 0785 When an answer is a 4-digit number,shade as it is. Example:if the answer is 4196,then shade 4196 当答案是个位数时，清在十位、百位和干位处涂上“0”。 如.如果搭案是7，清涂0007。 当答案是两位数时，请在百位和干位处涂上“0”。 例如：如果答案是23，清涂0023。 当答案是三位数时，请在干位处涂上"0”。 如：如果答案是785，清涂0785。 当答案是四位数时，请直接涂出答案。 如：如果答案是4196，清涂4196。 Question 16 How many triangles are there in the figure below? 如图所示，下图有多少个三角形？ 9 SASMO 2024,Primary 4(Grade 4)Contest Question 17 A prime number is a whole number that has exactly 2 factors:1 and itself.For example,2 and 11 are prime numbers,and 1 and 4 are not prime numbers.How many three-digit multiples of 4 have all of their digits as prime numbers? 质数是一个只有两个因数的整数：1和它自己。例如，2和11是质数，而1和4不是 质数。有多少个4的倍数的三位数各个位数上的数字都是质数？ 10