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GCSE: Shape, Space and Measures

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All about space

  1. 1 Perimeter is the distance around the shape. It can be thought of as the skirting board on the floor of a room.
  2. 2 Area is the measure of space inside the shape. It can be thought of as the carpet in a room.
  3. 3 Volume is how much space there is in a 3-D shape. This can be thought of as the amount of water that could fit into a box.
  4. 4 The volume of a prism like a cylinder, cuboids or Toblerone shape can be worked out by finding the area of the base and multiplying this by the length of the shape.
  5. 5 Shapes with the same perimeters can have different areas. The area is maximised when the all of sides are the same length, and the more sides the shape has, the larger the area will be.

Shape facts

  1. 1 The angles in a triangle will always add up to 180°.
  2. 2 When finding the amount of angles in a different shape, see how many triangles you can make, by drawing the lines from points, and making sure that the lines don’t intersect. You will be able to make 2 triangles in a square, so we can then say that the angles in a triangle add up to 360°.
  3. 3 Soh Cah Toa and Pythagoras only apply to right angle triangles.
  4. 4 The diameter of a circle is the straight line that goes between two points on a circle and the centre of the circle. The radius is half of the diameter.
  5. 5 π is called pi, pronounced pie. If you divide the perimeter (called the circumference) of a circle by its diameter, the answer will be π.

All about measure

  1. 1 Metric measurements are the newer type of measurement and include things like metre, litre and gram.
  2. 2 Imperial measurements are an older type of measurement but some are still used a lot. Some examples are, inches, feet, stones, ounces.
  3. 3 Metre, centimetre, and kilometre are a measure for length and normally denoted m,cm,km. Area is measured using squared units like m^2,cm^2,km^2 and volume needs cubed units like, m^3,cm^3,km^3
  4. 4 1 cm^3 of water is the same as 1 ml of water, and this will weigh 1 gram.
  5. 5 If your are told that a length to the nearest cm is 5cm, the actual length could be anything between 4.5cm and 5.5cm.

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  1. GCSE Maths questions

    • Develop your confidence and skills in GCSE Maths using our free interactive questions with teacher feedback to guide you at every stage.
    • Level: GCSE
    • Questions: 75
  2. Marked by a teacher

    Open Box Investigation

    5 star(s)
    • Word count: 1276
    • Submitted: 06/02/2010
    • Marked by teacher: (?) Mick Macve 18/03/2012
  3. Marked by a teacher

    Transformation Patterns. Our aim was to take different 3 digit number patterns and make a pattern that was instructed in the worksheet, and then find a correlation between the pattern of numbers and the line of symmetry and the order of rotation.

    3 star(s)
    • Word count: 388
    • Submitted: 09/12/2010
    • Marked by teacher: (?) Mick Macve 18/03/2012
  4. Marked by a teacher

    Maths Coursework

    3 star(s)
    • Word count: 2763
    • Submitted: 25/03/2010
    • Marked by teacher: (?) Cornelia Bruce 18/07/2013
  5. Marked by a teacher

    Symmetry in Nature

    • Word count: 411
    • Submitted: 06/05/2011
    • Marked by teacher: (?) Cornelia Bruce 18/07/2013

  6. Beyond Pythagoras - I am investigating the relationships between the lengths of the three sides of right angled triangles, the perimeters and areas of these triangles.

    • Word count: 1600
    • Submitted: 27/03/2012

  7. Applications of Differentiation

    • Word count: 657
    • Submitted: 18/05/2011

  8. Border coursework

    • Word count: 1752
    • Submitted: 02/11/2010

  9. Medicine and mathematics

    • Word count: 2260
    • Submitted: 18/01/2010

  10. Guttering Investigation

    • Word count: 1634
    • Submitted: 30/06/2009

  11. Graphing Quadratic Functions

    • Word count: 1072
    • Submitted: 15/06/2009
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