Maths Paper 1

Maths Paper 1

1. Inequalities

   • Example Question:
     • • We would show this on a number line like this
         • We can see here that the point at 5 is shaded in because when we look back to the inequality we see that this sign is shown
           • This means that 'n' is less than or equal to 5 so we show this by shading the dot above the 5 on the number line in.
   • Solving in equalities
     • Example question:
       • First we need to subtract 3 from 11 which gives us 8. We now know that 2x is less than or equal to 8. 8 divided by 2 = 4. Therefore 'x' is less than or equal to 4.,

2. Angles in parallel lines

   • Vertically opposite angles are EQUAL
   • Corresponding angles are EQUAL
   • Alternative angles are EQUAL
   • Co-Interior angles add up to 180 degrees

3. Box plots

   • Example Question:
     • To do this we need to find 3 things:
       • We then need to work out what they are
         • Then draw out the box plot

4. Interior angles

   • Finding the interior angle
     • sum of interior angles = (n - 2) x 180
       • 'n' means: number of sides
   • Example Question:
     • Find the interior angle of a regular hexagon
       • to do this we would need to do the sum of interior angles divided by number of sides
         • 720 divided by 6 = 120
           • Therefore the answer is 120 degrees.

5. Similar shapes

   • To find the scale factor of 2 shapes you need to do the length of a side on one shape divided by the length of the corresponding side on the other shape.

6. Plotting a reciprocal graph

   • Graphs of 'y' = 1/x, 2/x, 3/x etc. are known as reciprocal graphs and they all have a similar shape

7. Surds

   • Rules of Surds
   • Expanding surds
     • Single brackets
     • Double brackets

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