## FORMAT OF THE PAPERS • 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

##### 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  , [ 2019 ]

##### 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  [ 2019 ]

Solutions  / Answer Keys  , [ 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

• 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 , [ 2019 ]

##### 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  [ 2019 ]

Solutions / Answer Keys  , [ 2019 ]

##### 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