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Primary 6 - Find the greatest 4-digit number which when decreased by 1 is exactly divisible by 2, 3, 4, 5, 6 and 7 Primary 6 - Three plates of fruits A, B, and C are arranged in increasing order of their total mass. Answer To keep this order, where should plate D be placed? Choose one of the following:
A) Before A B) Between A and B C) Between B and C D) After C Answer Primary 6 - If all the numbers in the number pattern, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, … n, n, n, n add up to 1860, what is n?
Primary 6 - Ten boys played Rock-Paper-Scissors to determine who was the smartest. Every boy played against each of the other boys once. In each game, the winner received 3 points, the loser received 0 points, and in case of a draw, each of the two boys received 1 point each. The total number of points given was 125. How many games ended with a draw?
Primary 5 - Bobo always tells the truth on Mondays, Tuesdays, Wednesdays, and Thursdays. Qiqi always tells the truth on Mondays, Fridays, Saturdays, and Sundays. On the rest of the days, they may tell the truth or they may lie.
One day last week, Bobo and Qiqi both said, "I lied yesterday."
On which day of the week did that happen?
Primary 5 - John had $15 more than James for his weekly allowance. They each spent $60 weekly and saved the rest. John saved $315 and James saved $210 after a few weeks. How many weeks did it take John to save the $315? Primary 5 - Following the arrows given in the diagram, how many different routes are there from X to Y passing through P? Answer Answer Answer Answer Answer Primary 4 - Amir, Bala, and Chandra each has a different favourite food which are satay, pizza, and nasi lemak. Amir does not like pizza or nasi lemak. Bala does not like pizza.
Name the favourite food of each person.
Primary 4 - There were seven friends. Each person shook hands with each of the other six friends. How many handshakes were there altogether?
Primary 4 - Three ladies Anne, Betty and Carol made the following statements:
Anne: I am 22 years old. I am 2 years younger than Betty. I am 1 year older than Carol.
Betty: I am not the youngest. Carol and I are 3 years apart. Carol is 25 years old.
Carol: I am younger than Anne. Anne is 23 years old. Betty is 3 years older than Anne.
If only two of the three statements made by each lady are true, find the age of Anne.
Primary 3 - Petrus pasted 4 dot stickers along two sides of a square as shown below. Answer Answer Answer Show where he should paste 5 more stickers so that there are 3 stickers on each side of the square.
Primary 3 - The total number of storybooks that John and Ken have is 25.
The total number of storybooks that John and Lionel have is 20.
The total number of storybooks that Ken and Lionel have is 31.
Who has the most number of books? How many does he have?
Primary 3 - Five friends wanted to know the number of balloons in a bunch,
Kara guessed 25, Kegan guessed 31, Calida guessed 29, Eugene guessed 24 and David guessed 27.
Two guesses were wrong by 2; one guess was wrong by 3 and one guess was wrong by 4. Only one guess was correct.
Who guessed the correct number of balloons?
Answer
Answer
2019
比赛备用中英双语版或英文版
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Download questions and solutions (Exemplar) Primary 2 Questions Solutions
Primary 4 Questions Solutions
Primary 5 Questions Solutions
Primary 6 Questions Solutions
Syllabus (P2)
Numeration (P2)
Number notation and place values (hundreds, tens, ones), including decimals and money Comparing and ordering numbers, Number Patterns, Odd and even numbers 2-step word problems involving 4 operations (up to 3 digits)
Fractions (P2)
Fractions as part of a whole, comparing and ordering like fractions and unit fractions with denominators not exceeding 12 Addition, Subtraction of like fractions with denominators not exceeding 12 Solving word problems
Measurement (P1)
Measuring and comparing lengths of objects in non-standard units Telling time to the hour/half hour, time in years, months, weeks, days, hours
Geometry (P1)
Making patterns with 2D shapes (rectangle, square, circle, triangle)
Data Analysis (P1)
Interpreting data from picture graphs
Syllabus (P3)
Numeration (P3)
Number notation and place values, including decimals and money Number Patterns 2-step word problems involving 4 operations (up to 4 digits)
Fractions (P3)
Equivalent fractions Addition, Subtraction of related fractions Comparing and ordering unlike fractions with denominators (up to 12) Interpretation of fraction as a part of a whole Solving word problems
Measurement (P2)
Comparing and ordering Length (m / cm), Volume (l), Mass (kg / g) Telling time to 5 minutes, time in years, months, weeks, days, hours, minutes Area and Perimeter of composite figures
Geometry (P2)
Identify, composing and decomposing different 2D figures (rectangle, square, triangle,semicircle, quarter circle) Copying figures on dot grid or square grid Identifying, naming, describing and classifying 3Dshapes (cube, cuboid, cone, cylinder, sphere)
Data Analysis (P2)
Interpreting data from picture graphs with scales Solving word problems
Logic (P2)
Inferring and deducing relationships between objects given a set of clues
Syllabus (P4)
Numeration (P4)
Number notation and place values, including decimals 4 operations Factors and multiples (including HCF and LCM) Solving word problems involving the 4 operations
Fractions (P4)
Mixed numbers and improper fractions Addition, Subtraction and multiplication Interpretation of fraction as a part of a set of objects Solving word problems
Measurement (P3)
Length (km), Volume (ml), length/mass/volume (of liquid) in compound units Converting km to m, m to cm, kg to g, l to ml (and vice versa) Time in years, months, weeks, days, hours, minutes and seconds Area and Perimeter of composite figures
Geometry (P3)
Right, acute and obtuse angles Parallel, perpendicular lines Draw on square grid
Data Analysis (P3)
Interpreting data from tables, bar graphs and line graphs
Logic (P3)
Inferring and deducing relationships between objects given a set of clues
Syllabus (P5) (Calculators Allowed)
Numeration (P5)
Number notation and place values, including decimals and fractions Application of factors and multiples in problem solving Numerical manipulations Solving word problems involving the 4 operations, including order of operations
Percentage (P5)
Percentage as part of a whole Fractions and decimals as percentages and vice versa Exclude: Expressing one quantity as a percentage of another; comparison of two quantities by percentage Solving word problems involving percentage
Ratio (P5)
Expressing a ratio on its simplest form Solving word problems involving ratio of two or three given quantities, their sum or difference, before and after change Exclude ratios involving fractions and decimals
Measurement (P4)
Time in years, months, weeks, days, hours, minutes and seconds, 24-hour clock Area and Perimeter of composite figures
Geometry (P4)
Angles of composite figures Symmetry
Data Analysis (P4)
Interpreting data from tables, bar charts and line graphs
Logic (P4)
Inferring and deducing relationships between objects given a set of clues
Syllabus (P6) (Calculators Allowed)
Numeration (P6)
Number notation and place values, including decimals and fractions Application of factors and multiples in problem solving Numerical manipulations Solving word problems involving the 4 operations, including order of operations
Algebra (P6)
Representation of an unknown number using a letter Solving word problems involving algebraic expressions
Percentage (P6)
Solving for percentage part or whole of a quantity Expressing one quantity as a percentage of another Comparison of two quantities by percentage Solving word problems involving percentage
Ratio (P6)
Expressing a ratio on its simplest form Solving word problems involving ratio of two or three given quantities, their sum or difference, before and after change Exclude ratios involving fractions and decimals
Measurement (P5)
Time in years, months, weeks, days, hours, minutes and seconds, 24-hour clock Area and Perimeter of composite figures Length, mass and volume of cuboids Area of triangle (exclude finding the base/height of a triangle given its area) Volume of cube and cuboid Spatial visualisation
Geometry (P5)
Properties of angles Angles and properties of triangles, parallelogram, rhombus and trapezium Exclude: geometrical construction involving use of compasses; exterior angles Symmetry
Data Analysis (P5)
Interpreting data from tables, bar charts and line graphs Average
Logic (P5)
Inferring and deducing relationships between objects given a set of clues
Combinatorics (P5)
Finding largest, smallest or optimal number of options satisfying certain criteria, deciding when the criteria can be met.
ISMC 2019 Syllabuses for Level P2 to P6
Primary 3 Questions Solutions
报名
报名
Answer
比赛名称 国际新加坡数学比赛International Singapore Maths Competition (ISMC)
1 参与方式 如您的学校有意主办，可以在本校举办ISMC2019比赛，让本校生参加。至少10位学生。举办日期可以在2019年5月6日至10日的任何一天，或让您的学生在以下的学校参加。 或 让您的学生在以下的地点（学校）及日期参加（注：以下的学校公开给任何学生） 日期: 2019年5月4日(星期六) 早上10.00到11.30 Sri KDU Primary School, Kota Damansara, Selangor Australia International School, Seri Kembangan, Selangor Peninsula International School, Setia Alam, Selangor Mahsa International School, Bandar Saujana Putra, Selangor Paragon International School, Johor Bahru SR Seri Presbyterian Private School, Batu Pahat, Johor esselton International School, Kota Kinabalu, Sabah SJK(C) Yuk Chin, Tawau, Sabah 日期:2019年5月5日(星期日)早上10.00到11.30或下午2.00到3.30（选一） Penang Math Platform, Gelugor Penang 2 截止日期 15 April 2019 3 主办单位 新加坡ISMC. Seriously Addictive Mathematics马来西亚协办 4 支持单位 受Kementerian Pendidikan Malaysia马来西亚教育部的承认的国际比赛。 5 组别 • P2组 - 针对小学二年级 • P3组 - 针对小学三年级 • P4组 - 针对小学四年级 • P5组 - 针对小学五年级 • P6组 - 针对小学六年级 6 主要目的 • 鼓励小学生的数学水平提高到国际水平 • 通过涉及“高阶思维技能（KBAT）”的挑战性问题，培养解决问题技能和提升学生的信心 • 提供马来西亚的学生与国际学生竞争的机会 7 参与者资格 向马来西亚的所有小学学生，及国际学校和私立学校的小学学生开放 8 语文 比赛试卷可选英文（选项1）或英文+中文双语（选项2）可选一 9 比赛形式 • 总共五组，P2，P3，P4，P5及P6组 • 试卷包含A，B和C部分。总共25个问题。难度是根据A，B和C部分排列 • 参与者可获得1小时30分钟的时间来回答所有问题。 • 问题分配 - A部分（问题1至10），每个问题2分，B部分（问题11至20），每个问题4分，C部分（问题21至25），分别为6,7,8 9和10分 • 如果答案错误或没有答案，将不会扣分 • 答案必须写在答案纸（answer sheet）上 • 请自备文具。计算器仅允许用于P5和P6组。 10 比赛奖品 根据全世界排名获得最高分数30％的学生将获得金牌奖（最高的5％），银牌奖（下来的10％）和铜牌奖（下来的15％）和证书。参加证书将颁发给其他的参与者。 ISMC世界杯将被授予根据全世界获得的金牌数量，然后银牌数量，然后铜牌数量最多的学校。 如果马来西亚没有学校获得ISMC世界杯，ISMC马来西亚杯将被授予根据全马来西亚获得的金牌数量，然后银牌数量，然后铜牌数量最多的学校。2018年，槟城的槟华小学(SJKC Perempuan Cina) 获得2018年度的ISMC马来西亚杯。 11 颁奖典礼 主办单位将于2019年7月在全国多个地方举行颁奖典礼给予金牌，银牌和铜牌获奖学生。 主办单位将在2019年6月颁奖地点，请参观https://www.sam.edu.my/ismc以获取最新信息 12 报名方法 • 可在有主办的学校注册 • 在线注册https://www.sam.edu.my/ismc 或 https://goo.gl/Y5smGV 13 报名费 每位RM60 14 如何提交报名费 通过在线支付GIRO。请说明参与者的姓名 账户名称：Hallmark Education Sdn Bhd 帐号：518617004387 银行名称：Maybank 15 练习
每个参加ISMC的学生可获得新加坡小学数学在线学习平台Matholia的赞助，免费访问，以便学生可以在比赛前练习。 请访问www.matholia.com并注册为母公司，使用优惠码“ISMC2019”即可免费访问Matholia（有效期至2019年5月4日）。
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其他
• 参赛者必须在比赛当天穿校服
• 参赛者在比赛当天必需携带文具（计算器仅限P5和P6组）
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