﻿ International Singapore Maths Competition

2019

Versi Bahasa Inggeris & Bahasa Cina   Daftar Sekarang Eng 中文 2017 Result 2018 Result  Solutions (Exemplar)  Primary 3

Questions      Solutions

Primary 4

Questions      Solutions    Primary 6

Questions      Solutions  Primary 5

Questions      Solutions

 Syllabus (P2) Numeration (P2) Number notation and place values (hundreds, tens, ones), including decimals and moneyComparing and ordering numbers, Number Patterns,Odd and even numbers2-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 12Addition, Subtraction of like fractions with denominators not exceeding 12Solving word problems Measurement (P1) Measuring and comparing lengths of objects in non-standard unitsTelling 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 moneyNumber Patterns2-step word problems involving 4 operations (up to 4 digits) Fractions (P3) Equivalent fractionsAddition, Subtraction of related fractionsComparing and ordering unlike fractions with denominators (up to 12)Interpretation of fraction as a part of a wholeSolving 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, minutesArea 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 gridIdentifying, naming, describing and classifying 3Dshapes (cube, cuboid, cone, cylinder, sphere) Data Analysis (P2) Interpreting data from picture graphs with scalesSolving 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 decimals4 operationsFactors and multiples (including HCF and LCM)Solving word problems involving the 4 operations Fractions (P4) Mixed numbers and improper fractionsAddition, Subtraction and multiplicationInterpretation of fraction as a part of a set of objectsSolving word problems Measurement (P3) Length (km), Volume (ml), length/mass/volume (of liquid) in compound unitsConverting km to m, m to cm, kg to g, l to ml (and vice versa)Time in years, months, weeks, days, hours, minutes and secondsArea and Perimeter of composite figures Geometry (P3) Right, acute and obtuse anglesParallel, perpendicular linesDraw 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 fractionsApplication of factors and multiples in problem solvingNumerical manipulationsSolving word problems involving the 4 operations, including order of operations Percentage (P5) Percentage as part of a wholeFractions and decimals as percentages and vice versaExclude: Expressing one quantity as a percentage of another; comparison of two quantities by percentageSolving word problems involving percentage Ratio (P5) Expressing a ratio on its simplest formSolving word problems involving ratio of two or three given quantities, their sum or difference, before and after changeExclude ratios involving fractions and decimals Measurement (P4) Time in years, months, weeks, days, hours, minutes and seconds, 24-hour clockArea and Perimeter of composite figures Geometry (P4) Angles of composite figuresSymmetry 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 fractionsApplication of factors and multiples in problem solvingNumerical manipulationsSolving word problems involving the 4 operations, including order of operations Algebra (P6) Representation of an unknown number using a letterSolving word problems involving algebraic expressions Percentage (P6) Solving for percentage part or whole of a quantityExpressing one quantity as a percentage of anotherComparison of two quantities by percentageSolving word problems involving percentage Ratio (P6) Expressing a ratio on its simplest formSolving word problems involving ratio of two or three given quantities, their sum or difference, before and after changeExclude ratios involving fractions and decimals Measurement (P5) Time in years, months, weeks, days, hours, minutes and seconds, 24-hour clockArea and Perimeter of composite figuresLength, mass and volume of cuboidsArea of triangle (exclude finding the base/height of a triangle given its area)Volume of cube and cuboidSpatial visualisation Geometry (P5) Properties of anglesAngles and properties of triangles, parallelogram, rhombus and trapeziumExclude: geometrical construction involving use of compasses; exterior anglesSymmetry Data Analysis (P5) Interpreting data from tables, bar charts and line graphsAverage 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 from P2 to P6

Primary 2

Questions      Solutions   Try some past year questions?

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:

Before A

Between A and B

Between B and C

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 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.

Show where he should paste 5 more stickers so that there are 3 stickers on each side of the square. Answer

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?

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