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5. Mensuration

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  1. E5.1 Units of measure

    1. E5.1.1

      • Use metric units of mass, length, area, volume and capacity in practical situations and convert quantities into larger or smaller units. Units include: • mm, cm, m, km • mm², cm², m², km² • mm³, cm³, m³ • ml, l • g, kg. Conversion between units includes: • between different units of area, e.g. cm² ↔ m² • between units of volume and capacity, e.g. m³ ↔ litres.

  2. E5.2 Area and perimeter

    1. E5.2.1

      • Carry out calculations involving the perimeter and area of a rectangle, triangle, parallelogram and trapezium. Except for the area of a triangle, formulas are not given.

  3. E5.3 Circles, arcs and sectors

    1. E5.3.1Carry out calculations involving the circumference and area of a circle.

      • Carry out calculations involving the circumference and area of a circle.

    2. E5.3.2Carry out calculations involving arc length and sector area as

      • Carry out calculations involving arc length and sector area as fractions of the circumference and area of a circle. Answers may be asked for in terms of π. Formulas are given in the List of formulas. Includes minor and major sectors.

  4. E5.4 Surface area and volume

    1. E5.4.1

      • Carry out calculations and solve problems involving the surface area and volume of a: • cuboid • prism • cylinder • sphere • pyramid • cone. Answers may be asked for in terms of π. The following formulas are given in the List of formulas: • curved surface area of a cylinder • curved surface area of a cone • surface area of a sphere • volume of a prism • volume of a pyramid • volume of a cylinder • volume of a cone • volume of a sphere. The term prism refers to any solid with a uniform cross-section, e.g. a cylindrical sector.

  5. E5.5 Compound shapes and parts of shapes

    1. E5.5.1Carry out calculations and solve problems involving perimeters and

      • Carry out calculations and solve problems involving perimeters and areas of: • compound shapes • parts of shapes.

    2. E5.5.2Carry out calculations and solve problems involving surface areas and

      • Carry out calculations and solve problems involving surface areas and volumes of: • compound solids • parts of solids. Answers may be asked for in terms of π. e.g. find the surface area and volume of a frustum.