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13+ Common Entrance Maths revision

Revision for Mathematics: 13+ Entrance Exams & 13+ Common Entrance (CE)

13 Common Entrance Maths topic areas (from KS3 Year 7 & Year 8 NNS)

Below are links to revision guides, practice questions, online tests and video explanations for all areas of the Common Entrance Mathematics syllabus. 

Number

Properties of number

  • Factors | Revision guides 1, 2, 3, 4 | Videos 1
  • Addition and subtraction with negative numbers | Revision guides 1, 2, 3 | Videos 1
  • Multiplication and division with negative numbers | Revision guides 1, 2 | Videos 1

Place value and ordering

  • Multiplying and dividing by 10, 100, 1000 | Revision guides 1, 2, 3, 4
  • Ordering and rounding decimals | Revision guides 1, 2, 3 | Videos 1

Estimation and approximation

  • Significant figures | Revision guides 1, 2, 3 | Videos 1

Fractions, decimals, percentages and ratio

  • Fractions – General revision | Revision guides 1, 2, 3, 4 | Videos 1
  • Addition and subtraction of fractions | Revision guides 12, 3 | Videos 1
  • Multiplying fractions | Revision guides 1, 2, 3 | Videos 1
  • Dividing fractions | Revision guides 1 | Videos 1, 2
  • A fraction as a decimal or percentage | Revision guides 1, 2, 3, 4 | Videos 1
  • Calculating with ratios | Revision guides 1, 2, 3 | Videos 1

Calculations

Written methods

  • Addition and subtraction of decimals | Revision guides 1, 2 | Videos 1
  • Multiplication of decimals | Revision guides 1, 2, 3, 4 | Videos 1
  • Division of decimals | Revision guides 1, 2, 3 | Videos 1

Calculator methods

  • Calculating fractions and percentages | Revision guides 1, 2, 3 | Videos 1

Checking results

  • Using the inverse and approximations | Revision guides 1 | Videos 1

Problem solving

Reasoning about numbers or shapes

  • Triangular numbers | Revision guides 1, 2, 3 | Videos 1

Real-life mathematics

  • Problem solving | Revision videos (word problems) 1, 2, 3 and strategies (starts at 7 minutes 10 seconds in). Subtraction word problem: 1. Percentage word problems: 1

Algebra

Equations and formulae

  • BODMAS / BIDMAS | Revision guides 1, 2| Videos 1
  • Solving linear equations | Revision guides 1, 2, 3 | Videos 1
  • Substitution into formulae and linear equations | Revision guides 1, 2, 3, 4 | Videos 1
  • Solving quadratic equations with heuristics (trial and improvement) | Revision guides 1 | Videos 1, 2
  • Solving inequalities | Revision guides 1, 2, 3 | Videos 1
  • Algebraic formulae | Revision guides 1, 2, 3 | Videos 1

Sequences and functions

  • Finding the next term in a sequence | Revision guides 1, 2, 3, 4 | Videos 1
  • Finding the ‘nth’ term in a sequence | Revision guides 1, 2, 3, 4 | Videos 1
  • Describing the ‘nth’ term as algebra | Revision guides 1 | Videos 1
  • Solving simultaneous equations algebraically | Revision guides 1, 2 | Videos 1
  • Solving simultaneous equations graphically | Revision guides 1, 2, 3 | Videos 1

Graphs

  • Four quadrant coordinates | Revision guides 1, 2, 3 | Videos 1

Shape, space and measure

Measures

  • Parts of a circle and the value of pi | Revision guides 1 | Videos 1
  • Areas of circles | Revision guides 1 | Videos 1
  • Area | Revision guides 1, 2, 3, 4, 5 | Videos 1
  • Surface area | Revision guide 1 | Video 1
  • Volume | Revision guides 12345, 6 | Videos 1
  • Calculating the areas of fractional and composite shapes | Revision guides 1 | Videos 1
  • Distance, speed and time | Revision guides 1, 2, 3 | Videos 1

Shape

  • Reflection symmetry (lines of symmetry) in place shapes | Revision guides 1, 2, 3 | Videos 1
  • Rotation symmetry in plane shapes | Revision guides 1 | Videos 1
  • Properties of quadrilaterals | Revision guides 1, 2, 3 | Videos 1
  • Polygons | Revision guides 1, 2, 3, 4, 5 | Videos 1

Space

  • Angles on a straight line | Revision guides 1, 2 | Videos 1
  • Angles in polygons | Revision guides 12345 | Videos 1, 2
  • Enlargement and scale factor | Revision guides 1, 2, 3, 4 Practise: 1, 2 ,3 | Videos 1
  • Area scale factor | Revision guides 1
  • Three figure bearings and scale drawings | Revision guides 1, 2, 3, 4 | Videos 1
  • Pythagoras theorem in 2D shapes | Revision guides 1, 2, 3, 4 | Videos 1

Handling data

Data handling

  • Drawing conclusions from graphs, charts and diagrams | Revision guides 1, 2
  • Frequency diagrams; Mean, Median and Mode | Revision guides 1, 2, 3 | Videos 1, 2
  • Pie Charts | Revision guides 1, 2, 3 | Videos 1
  • Scatter-graphs and correlation | Revision guides 1, 2, 3 | Videos 1
  • Set and Venn diagrams | Revision guides 1, 2, 3 | Videos 1

Probability

  • Introduction | Revision guide 1
  • Theoretical and experimental probability | Revision guides 1, 2, 3, 4, 5 | Videos 1
  • Addition law | Revision guides 1, 2
  • Calculating probability with two events | Revision guides 1 | Videos 1
  • Listing probability outcomes | Revision guides 1, 2, 3 | Videos 1

 Other resources

Resources for SATS, 11+ and 13+ Common Entrance Maths

Resources for Maths Scholarship and 11+ and 13+ Independent School Entrance exams

Other websites

Tom Tolkien is a qualified teacher with senior leadership experience in a 3-13 prep school. If you require consultancy and curriculum advice, tutoring in English, Maths or History, or you are looking to fill a part time or full time vacancy for a teaching position, please contact him via Linkedin.

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