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## Common Entrance maths revision for 13+ entrance exams

### 13+ Common Entrance maths revision topic areas (from KS3 Year 7 & Year 8 NNS)

*Common Entrance maths revision – 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
- Ordering and rounding decimals | Revision guides 1, 2, 3 | Videos 1

**Estimation and approximation**

**Fractions, decimals, percentages, and ratio**

- Fractions – General revision | Revision guides 1, 2, 3, 4 | Videos 1
- Addition and subtraction of fractions | Revision guides 1, 2, 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**

**Calculator methods**

**Checking results**

**Problem-solving**

**Reasoning about numbers or shapes**

**Real-life mathematics**

**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**

**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 1, 2, 3, 4, 5, 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**

**Space**

- Angles on a straight line | Revision guides 1, 2 | Videos 1
- Angles in polygons | Revision guides 1, 2 | 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, 2
- 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

- Common Entrance Maths quick revision card
- Common Entrance revision books
- Prime numbers under 10,000 list
- Times tables – a great mini-site for practising
- There are more practise questions, covering every Y8 subject area, here: http://www.cimt.org.uk/projects/mepres/book8/book8int.htm

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

- Past papers for Common Entrance are available to purchase here
- Common Entrance and Entrance exam revision guides and model answer books
- Common Entrance Maths Syllabus
- Common Entrance Maths 11+ Regulations and Notice to Invigilators
- Common Entrance Maths 13+ Regulations and Notice to Invigilators
- Free and downloadable SATS papers for KS1, KS2, and KS3.
- Registration form for Parents (For use when pupil’s school does not offer Common Entrance preparation.)

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

- City of London School 13+ entrance exam sample questions
- Colfe’s School 11+ and 13+ entrance exam papers
- Dulwich College 11+ and 13+ entrance exam and scholarship specimen papers
- Emmanuel School sample 11+ Entrance paper
- Eton College KS (Scholarship) papers (13+)
- Highgate School sample 11+ and 13+ entrance exam papers
- Mill Hill School 13+ entrance exam papers
- Radley College – past 13+ scholarship papers
- Reigate Grammar School 13+ exam sample questions
- Royal Hospital School 13+ entrance paper
- The Leys School 11+ entrance exam papers
- The Leys School 13+ entrance exam papers
- The North London Girls’ Independent Schools Consortium sample 11+ entrance tests
- The Perse School 11+ entrance exam papers 1 ,2 ,3 ,4 ,5
- The Perse School 13+ entrance exam papers 1 ,2 ,3 ,4 ,5, 6
- Warwick School sample 11+ entrance papers

### Other websites

- Association of Teachers of Mathematics
- National Association of Mathematics Advisers
- NCTM
- National Stem Centre

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