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Skills available for Singapore primary 5 maths curriculum

Objectives are in black and IXL maths skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practise that skill.

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Singapore Mathematics Syllabus (2006): Primary 5 Singapore Mathematics Syllabus (2006): Primary 5
Singapore Mathematics Syllabus (2006): Primary 5 (Foundation Mathematics) Singapore Mathematics Syllabus (2006): Primary 5 (Foundation Mathematics)

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5.4 Percentage

5.4.1 Percentage
- 5.4.1.1 Include:
  - 5.4.1.1.a expressing a part of a whole as a percentage,
    - What percentage is illustrated? (P5-O.1)
    - Percent of a number (P5-O.3)
  - 5.4.1.1.b use of the percentage symbol (%),
    - What percentage is illustrated? (P5-O.1)
  - 5.4.1.1.c writing fractions and decimals as percentages, and vice versa,
    - Convert between percents, fractions and decimals (P5-O.2)
  - 5.4.1.1.d finding a percentage part of a whole,
    - Percent of a number (P5-O.3)
    - Compare percentages (P5-O.6)
  - 5.4.1.1.e solving up to 2-step word problems involving percentage,
    - Percent of a number: word problems (P5-O.4)
  - 5.4.1.1.f discount, GST and annual interest.

5.5 Ratio

5.5.1 Ratio
- 5.5.1.1 Include:
  - 5.5.1.1.a interpretation of a : b and a : b : c, where a, b and c are whole numbers,
    - Determine the ratio (P5-N.1)
  - 5.5.1.1.b writing equivalent ratios,
    - Identify equivalent ratios (P5-N.3)
    - Ratio tables (P5-N.5)
  - 5.5.1.1.c expressing a ratio in its simplest form,
  - 5.5.1.1.d finding the ratio of two or three given quantities,
    - Determine the ratio (P5-N.1)
  - 5.5.1.1.e finding the missing term in a pair of equivalent ratios,
    - Write an equivalent ratio (P5-N.4)
  - 5.5.1.1.f finding one quantity given the other quantity and their ratio,
    - Unit rates and equivalent rates (P5-N.6)
  - 5.5.1.1.g solving up to 2-step word problems involving ratio.
    - Write a ratio: word problems (P5-N.2)

5.6 Measurement

5.6.1 Length, mass and volume
- 5.6.1.1 Include:
  - 5.6.1.1.a conversion of a measurement from a smaller unit to a larger unit in decimal form, and vice versa,
    - 5.6.1.1.a.1 kilometres and metres
      - Compare and convert metric units of length (P5-U.2)
      - Metric mixed units (P5-U.6)
    - 5.6.1.1.a.2 metres and centimetres
      - Compare and convert metric units of length (P5-U.2)
      - Metric mixed units (P5-U.6)
    - 5.6.1.1.a.3 kilograms and grams
      - Compare and convert metric units of mass (P5-U.3)
      - Metric mixed units (P5-U.6)
    - 5.6.1.1.a.4 litres and millilitres
      - Compare and convert metric units of volume (P5-U.4)
      - Metric mixed units (P5-U.6)
5.6.2 Area of triangle
- 5.6.2.1 Include:
  - 5.6.2.1.a identifying the base of a triangle and its corresponding height,
  - 5.6.2.1.b use of formula to calculate the area of a triangle.
    - Area of triangles (P5-W.4)
5.6.3 Volume of cube and cuboid
- 5.6.3.1 Include:
  - 5.6.3.1.a building solids with unit cubes,
  - 5.6.3.1.b measurement of volume in cubic units,
    - Volume of figures made of unit cubes (P5-W.10)
    - Volume of cubes and rectangular prisms (P5-W.11)
  - 5.6.3.1.c drawing cubes and cuboids on an isometric grid,
  - 5.6.3.1.d measurement of volume in cubic centimetres (cm³)/ cubic metres (m³),
    - Volume of cubes and rectangular prisms (P5-W.11)
  - 5.6.3.1.e use of formula to calculate the volume of a cube/ cuboid,
    - Volume of cubes and rectangular prisms (P5-W.11)
  - 5.6.3.1.f finding the volume of liquid in a rectangular tank,
  - 5.6.3.1.g conversion between l, ml and cm³,
  - 5.6.3.1.h solving up to 3-step word problems involving the volume of a cube/ cuboid.

5.7 Geometry

5.7.1 Angles
- 5.7.1.1 Include use of the following properties to find unknown angles:
  - 5.7.1.1.a angles on a straight line,
    - Identify complementary, supplementary, vertical, adjacent and congruent angles (P5-V.8)
    - Find measures of complementary, supplementary, vertical and adjacent angles (P5-V.9)
  - 5.7.1.1.b angles at a point,
    - Identify complementary, supplementary, vertical, adjacent and congruent angles (P5-V.8)
    - Find measures of complementary, supplementary, vertical and adjacent angles (P5-V.9)
  - 5.7.1.1.c vertically opposite angles.
    - Identify complementary, supplementary, vertical, adjacent and congruent angles (P5-V.8)
    - Find measures of complementary, supplementary, vertical and adjacent angles (P5-V.9)
5.7.2 Triangle
- 5.7.2.1 Include:
  - 5.7.2.1.a identifying and naming the following types of triangles
    - 5.7.2.1.a.1 isosceles triangle,
      - Classify triangles (P5-V.11)
    - 5.7.2.1.a.2 equilateral triangle,
      - Classify triangles (P5-V.11)
    - 5.7.2.1.a.3 right-angled triangle,
      - Classify triangles (P5-V.11)
  - 5.7.2.1.b use of the property that the angle sum of a triangle is 180°,
    - Find the unknown angle in triangles and quadrilaterals (P5-V.18)
  - 5.7.2.1.c finding unknown angles,
    - Find the unknown angle in triangles and quadrilaterals (P5-V.18)
  - 5.7.2.1.d drawing a triangle from given dimensions using ruler, protractor and set squares.
5.7.3 Parallelogram, rhombus and trapezium
- 5.7.3.1 Include:
  - 5.7.3.1.a identifying and naming parallelogram, rhombus and trapezium,
  - 5.7.3.1.b properties of parallelogram, rhombus and trapezium,
    - Which figure is being described? (P5-V.1)
    - Parallel sides in quadrilaterals (P5-V.12)
  - 5.7.3.1.c finding unknown angles,
    - Find the unknown angle in triangles and quadrilaterals (P5-V.18)
  - 5.7.3.1.d drawing a square/rectangle/parallelogram/rhombus/trapezium from given dimensions using ruler, protractor and set squares.

5.8 Data analysis

5.8.1 Average of a set of data
- 5.8.1.1 Include:
  - 5.8.1.1.a interpretation of average as "total amount ÷ number of items",
    - Calculate mean, median and mode (P5-S.1)
  - 5.8.1.1.b calculation of the average number/quantity,
    - Calculate mean, median and mode (P5-S.1)
  - 5.8.1.1.c finding the total amount given the average and the number of items,
    - Mean, median and mode: find the missing number (P5-S.2)
  - 5.8.1.1.d solving word problems involving average.
    - Interpret charts to find mean, median and mode (P5-S.3)

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5.1 Whole Numbers

5.1.1 Numbers up to 10 million

5.1.1.1 Include:

5.1.1.1.a reading and writing numbers in numerals and in words,

5.1.1.1.b rounding off numbers to the nearest 1000.

5.1.2 Four operations

5.1.2.1 Include:

5.1.2.1.a multiplication and division by tens, hundreds and thousands without using calculators,

5.1.2.1.b solving word problems involving the 4 operations,

5.1.2.1.c estimation of answers in calculations,

5.1.2.1.d checking reasonableness of answers.

5.1.3 Order of operations

5.1.3.1 Include:

5.1.3.1.a combined operations involving the 4 operations,

5.1.3.1.b use of brackets.

5.2 Fractions

5.2.1 Concept of fraction as division

5.2.1.1 Include:

5.2.1.1.a association of a fraction with division,

5.2.1.1.b conversion between fractions and decimals.

5.2.2 Four operations

5.2.2.1 Include:

5.2.2.1.a addition and subtraction of proper fractions without using calculators,

5.2.2.1.b addition and subtraction of mixed numbers,

5.2.2.1.c multiplication of a proper fractions and a proper/ improper fraction without using calculators,

5.2.2.1.d multiplication of an improper fraction and an improper fraction,

5.2.2.1.e multiplication of a mixed number and a whole number,

5.2.2.1.f division of a proper fraction by a whole number without using calculators,

5.2.2.1.g solving word problems involving the 4 operations.

5.3 Decimals

5.3.1 Four operations

5.3.1.1 Include:

5.3.1.1.a multiplication and division of decimals (up to 3 decimal places) by tens, hundreds and thousands without using calculators,

5.3.1.1.b solving word problems involving the 4 operations,

5.3.1.1.c rounding off answers to a specified degree of accuracy,

5.3.1.1.d estimation of answers in calculations,

5.3.1.1.e checking reasonableness of answers.

5.4 Percentage

5.4.1 Percentage

5.4.1.1 Include:

5.4.1.1.a expressing a part of a whole as a percentage,

5.4.1.1.b use of the percentage symbol (%),

5.4.1.1.c writing fractions and decimals as percentages, and vice versa,

5.4.1.1.d finding a percentage part of a whole,

5.4.1.1.e solving up to 2-step word problems involving percentage,

5.4.1.1.f discount, GST and annual interest.

5.5 Ratio

5.5.1 Ratio

5.5.1.1 Include:

5.5.1.1.a interpretation of a : b and a : b : c, where a, b and c are whole numbers,

5.5.1.1.b writing equivalent ratios,

5.5.1.1.c expressing a ratio in its simplest form,

5.5.1.1.d finding the ratio of two or three given quantities,

5.5.1.1.e finding the missing term in a pair of equivalent ratios,

5.5.1.1.f finding one quantity given the other quantity and their ratio,

5.5.1.1.g solving up to 2-step word problems involving ratio.

5.6 Measurement

5.6.1 Length, mass and volume

5.6.1.1 Include:

5.6.1.1.a conversion of a measurement from a smaller unit to a larger unit in decimal form, and vice versa,

5.6.1.1.a.1 kilometres and metres

5.6.1.1.a.2 metres and centimetres

5.6.1.1.a.3 kilograms and grams

5.6.1.1.a.4 litres and millilitres

5.6.2 Area of triangle

5.6.2.1 Include:

5.6.2.1.a identifying the base of a triangle and its corresponding height,

5.6.2.1.b use of formula to calculate the area of a triangle.

5.6.3 Volume of cube and cuboid

5.6.3.1 Include:

5.6.3.1.a building solids with unit cubes,

5.6.3.1.b measurement of volume in cubic units,

5.6.3.1.c drawing cubes and cuboids on an isometric grid,

5.6.3.1.d measurement of volume in cubic centimetres (cm³)/ cubic metres (m³),

5.6.3.1.e use of formula to calculate the volume of a cube/ cuboid,

5.6.3.1.f finding the volume of liquid in a rectangular tank,

5.6.3.1.g conversion between l, ml and cm³,