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FORMAT OF THE PAPERS

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  • Format is uniform across the levels: Primary 2, Primary 3, Primary 4, Primary 5, and Primary 6

  • Students are asked to solve 25 problems in 90 minutes

  • Students write their responses on an answer sheet

  • Questions are arranged in a way that the first ones are the easier ones, then the level of difficulty gradually increases so that the last questions are the more difficult ones. 2 marks each are contained by Questions 1-10, 4 marks each by Questions 11-20, and 6, 7, 8, 9, 10 marks each by Questions 21,22, 23, 24, 25 respectively, making a full score of 100

  • If a participant leaves a question unanswered, that question will be marked '0'. There is no penalty/deduction for wrong answer.

ISMC - International Singapore Maths Competition SYLLABUS

Pre-Ecolier
Primary 2

 

Numeration (P2)

  • Number notation and place values (hundreds, tens, ones) 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

 

Question Paper  [ 2018 ] , [ 2019 ]

Solution / Answer Keys   [ 2018 ] , [ 2019 ]

Answer Sheet   [ 2018 ] , [ 2019 ]

Ecolie
Primary 3

 

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

 

Question Papers  [ 2016 ] , [ 2017 ] , [ 2018 ] , [ 2019 ]

Solutions  / Answer Keys  [ 2016 ] , [ 2017 ] , [ 2018 ] , [ 2019 ]

Answer Sheets   [ 2016 ] , [ 2017 ] , [ 2018 ] , [ 2019 ]

 

 

Primary 4

 

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

 

Question Papers  [ 2016 ] , [ 2017 ] , [ 2018 ] , [ 2019 ]

Solutions / Answer Keys  [ 2016 ] , [ 2017 ] , [ 2018 ] , [ 2019 ]

Answer Sheets   [ 2016 ] , [ 2017 ] , [ 2018 ] , [ 2019 ]

 

Benjamin
Primary 5   *** 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

  • Solving word problems involving percentage

 

Ratio (P5)

  •  Expressing a ratio in its simplest form

  • Solving word problems involving ratio of two or three given quantities, their sum or difference, before and after change

 

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

 

 

Question Papers  [ 2016 ] , [ 2017 ] , [ 2018 ] , [ 2019 ]

Solutions / Answer Keys  [ 2016 ] , [ 2017 ] , [ 2018 ] , [ 2019 ]

Answer Sheets   [ 2016 ] , [ 2017 ] , [ 2018 ] , [ 2019 ]

 

Cadet
Junior
Primary 6   *** 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

 

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

  • Volume of cube and cuboid

  • Spatial visualisation

 

Geometry (P5)

  • Properties of angles

  • Angles and properties of triangles, parallelogram, rhombus and trapezium

  • 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

 

Question Papers  [ 2016 ] , [ 2017 ] , [ 2018 ] , [ 2019 ]

Solutions / Answer Keys [ 2016 ] , [ 2017 ] , [ 2018 ] , [ 2019 ]

Answer Sheets   [ 2016 ] , [ 2017 ] , [ 2018 ] , [ 2019 ]

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*** Papers may include topics which are related to or are extension of the topics listed. ***  
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