2022年新加坡六年级国际数学竞赛试题

SASMO Singapore &Asian Schools Math Olympiad PRIMARY 6(GRADE 6)2022 CONTEST PAPER NAME: Index Number: SCHOOL: SASMO 2022,Primary 6(Grade 6)Contest Section A (Correct answer-2 points No answer-0 points Incorrect answer-minus 1 point) A部分：（计分方式：答对一题得2分，不答题不扣分，答错一题扣1分） Question 1 问题1 Calculate the following. 计算以下算式。 (37+75×92)÷(93×75-38) A.0 B.1 C.1.5 D.2 E.None of the above/以上都不对 Question 2 问题2 Mason built a pyramid using identical cubes.The pyramid is shown below from different angles.Mason paints the whole pyramid in green colour.How many cubes have exactly 3 sides painted in green? 梅森用相同的立方体建造了一个金字塔。下面从不同角度显示了金字塔。梅森将整个 金字塔涂成绿色。有多少个立方体正好有三个侧面被涂成绿色？ A.12 B.24 C.28 D.36 E.None of the above/以上都不对 1 SASMO 2022,Primary 6(Grade 6)Contest Question 3 问题3 In square A D below,points E and F are on sides AB and CD,respectively,such that AE= FC =2 cm.If the area of the square is 196 cm2,what is the area of the shaded region? 面的正方形ABCD中，点E和F分别在边AB和CD上，因此AE=FC=2cm。如果正 方形的面积是196cm2,阴影区域的面积是多少？ A A.84 cm2 B.112cm2 C.28 cm2 D.14cm2 E.None of the above/以上都不对 Question 4 问4 What is the next number in the sequence below? 以下序列中的下一个数字是什么？ 1,2,5,14,41,… A.122 B.121 C.68 D.50 E.None of the above/以上都不对 2 SASMO 2022,Primary 6(Grade 6)Contest Question 5 问5 Tom spent $225 on clothes and 38%of his original sum of money on school stationery.If he had 17%of his original sum of money left,how much money did he have at first? 汤姆花了$225买衣服，在学校文具上花了他原有的总金钱的38%。如果他还剩17%的 钱，他一开始有多少钱？ A.$45 B.$100 C.$275 D.$500 E.None of the above/以上都不对 Question 6 问题6 The number in an unshaded square is obtained by adding the numbers connected to it from the row above.What number must be in the square with the question mark? 无阴影正方形中的数字是通过将上一行与其相连的数字相加而获得的。问号的方框中 必须是什么数字？ A4 B5 C6 D7 E.None of the above/以上都不对 3 SASMO 2022,Primary 6(Grade 6)Contest Question 7 问题7 There are 10 classrooms with an equal number of students in each classroom.If 10 students leave from each of the 10 classrooms,the total number of remaining students in the 10 classrooms will be equal to the total number of students in the 9 classrooms initially.How many students are there in total originally? 有10个教室，每个教室的学生人数相等。如果10间教室各有10名学生离开，则10间 教室剩余的学生总数将等于最初9间教室的学生总数。原来一共有多少学生？ A.1000 B.900 C.100 D.90 E.None of the above/以上都不对 Question 8 问题8 The difference between two whole numbers is 2022.The quotient of these two numbers is 7.Find the sum of the two numbers. 两个整数之差是2022，这两个数字的商是7。求这两个数字的和。 A.2969 B.2696 C.2359 D.337 E.None of the above/以上都不对 4 SASMO 2022,Primary 6(Grade 6)Contest Question 9 问题9 What is the sum of digits of the following product? 下列乘积的每位数之和是多少？ 2007×111.111 12 times A.108 B.99 C.90 D.81 E.None of the above/以上都不对 Question 10 问题10 Study the picture below.注意下图。 Arrange the animals in ascending order. 按升序排列动物。 A. B. 0 E.None of the above/以上都不对 5 SASMO 2022,Primary 6(Grade 6)Contest Question 11 问题11 If the product of three consecutive whole numbers is 226 920,then what is the sum of these three numbers? 如果三个连续整数的乘积是226920，那么这三个数字的和是多少？ A.180 B.183 C.186 D.60 E.None of the above/以上都不对 Question 12 问题12 The sum of the digits of a 4-digit number is 24.How many such 4-digit numbers less than 2000 are there? 一个4位数字的位数之和是24。这样小于2000的4位数字有多少？ A.3 B.9 C.12 D.15 E.None of the above/以上都不对 6 SASMO 2022,Primary 6(Grade 6)Contest Question 13 问题13 In how many ways can 30 be expressed as the sum of two or more consecutive whole numbers? 30可以用多少种方式表示为两个或多个连续整数之和？ A.3 B.2 C.1 D.0 E.None of the above/以上都不对 Question 14 问题14 For whole numbers a,b and c,it is given that 对于整数a、b和c,已知 25 =a+-1 17 1 b+ What is the value of a+b+c? a+b+c的值是什么？ A.8 B.9 C.10 D.11 E.None of the above/.以上都不对 7 SASMO 2022,Primary 6(Grade 6)Contest Question 15 问题15 Five girls each prepared 1 gift for a party.How many ways can these 5 gifts be distributed among the 5 girls so that no one receives her own gift? 五个女孩每人为了派对准备了一份礼物。这5份礼物可以有多少种方式分配给5个女孩， 这样没有人会收到她自己准备的礼物？ A.120 B.45 C.44 D.24 E.None of the above/.以上都不对 8 SASMO 2022,Primary 6(Grade 6)Contest Section B(Correct answer-4 points Incorrect or No answer-0 points) 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. B部分：（计分方式：答对一题得4分，不答题或答错题不得分） 当一个答案是一个1位数字，将十位数，百位数和千位数上的数字“0”涂黑。 例如：如果答案是7，那么涂阴影结果为：0007： 当一个答案是一个2位数字，将百位数和千位数上的数字“0”涂黑。 示例：如果答案是23，则涂阴影结果为：0023； 当一个答案是一个3位数字时，将千位数上的数字“0”涂黑。 例如：如果答案是785，那么涂阴影结果为：0785； 当一个答案是一个4位数字，将对应位数的数字涂黑。 例如：如果答案是4196，那么涂阴影结果为：4196 ⊙null