HE Exams Wiki
Tag: Visual edit
(Updated. Will need to add resources/textbooks for GCSE maths and CAIE IGCSe maths)
Tag: Visual edit
Line 18: Line 18:
 
[https://he-exams.wikia.org/wiki/Resources_for_Edexcel_GCSE_Maths Resources for Edexcel GCSE maths]
 
[https://he-exams.wikia.org/wiki/Resources_for_Edexcel_GCSE_Maths Resources for Edexcel GCSE maths]
   
== GCSE or IGCSE Maths? ==
+
== Should I study GCSE or IGCSE Maths? ==
   
 
Home educated children can take GCSE or International GCSE (IGCSE) maths
 
Home educated children can take GCSE or International GCSE (IGCSE) maths
Line 39: Line 39:
 
Still have questions? Ask on the [https://www.facebook.com/groups/HELinksUK.IGCSE/ Home Education UK Exams & Alternatives] group.
 
Still have questions? Ask on the [https://www.facebook.com/groups/HELinksUK.IGCSE/ Home Education UK Exams & Alternatives] group.
   
  +
== What maths decisions do I need to make? ==
== Maths Decisions ==
 
   
 
*Which qualification?  GCSE or IGCSE? (Or Further/Additional Maths? Or A-level?)
 
*Which qualification?  GCSE or IGCSE? (Or Further/Additional Maths? Or A-level?)
Line 78: Line 78:
 
__________________
 
__________________
   
== Which exam board? Edexcel, CAIE, OCR, EDUQAS or AQA? ==
+
== Which exam board? ==
There is no consensus on which exam board is easiest or better, although some paper or question styles might suit your child better. The most important thing is to find out what exam boards can be facilitated at your local exam centres. If your choice of exam board is not determined by your exam centre, the best approach is to download some sample papers from each board and see which suits your child, and/or look at the materials available for each syllabus and see which your family prefers.
+
* There is no consensus on which exam board (AQA, Edexcel etc) is easiest or better, although some paper or question styles might suit your child better.
  +
* The most important thing is to find out what exam boards can be facilitated at your local exam centres as this will determine which exam board your child can study.
  +
* Once you know which exam boards can be facilitated at your exam centres, download some sample papers from each board and see which suits your child, and/or look at the textbooks and resources available for each syllabus and see which your family prefers.
 
For '''GCSE maths''', there are a range of exam boards available, including Edexcel, OCR and AQA. The syllabus is dictated by the government and so there is little difference in topics or difficulty between boards. The number of resources e.g. commercially produced practice books and papers and online resources varies between boards. Currently the board with most available resources is Edexcel.
   
 
For '''IGCSE maths''', you can choose between Cambridge and Edexcel. There are some style and content differences between them.
For GCSE maths, the syllabus is dictated by the government and so there is little difference in topics or difficulty between boards. The number of resources e.g. commercially produced practice books and papers and online resources varies between boards. Currently the board with most available resources is Edexcel.
 
 
For IGCSE maths, there are some style and content differences between Edexcel and CAIE.
 
   
 
== GCSE Maths Specifications ==
 
== GCSE Maths Specifications ==
Line 124: Line 125:
   
 
=== '''WJEC GCSE maths and GCSE maths - numeracy''' ===
 
=== '''WJEC GCSE maths and GCSE maths - numeracy''' ===
(For those in Wales) See [https://www.qualificationswales.org/english/qualifications/gcses-and-a-levels/gcses/maths-and-maths-numeracy-gcse/ here] for more info about these qualifications. 3 tiers, 2 papers (paper 1 non-calculator; paper 2 calculator).
+
'''(For those living in Wales)''' See [https://www.qualificationswales.org/english/qualifications/gcses-and-a-levels/gcses/maths-and-maths-numeracy-gcse/ here] for more info about these qualifications. 3 tiers, 2 papers (paper 1 non-calculator; paper 2 calculator).
   
 
[https://www.wjec.co.uk/qualifications/mathematics-gcse/#tab_overview WJEC GCSE maths -numeracy] - '''Only available in Wales.''' "GCSE in Maths Numeracy will assesses the mathematics that learners will need in their everyday lives, the world of work and other general curriculum areas"
 
[https://www.wjec.co.uk/qualifications/mathematics-gcse/#tab_overview WJEC GCSE maths -numeracy] - '''Only available in Wales.''' "GCSE in Maths Numeracy will assesses the mathematics that learners will need in their everyday lives, the world of work and other general curriculum areas"
Line 136: Line 137:
 
* Edexcel offer IGCSE Maths A and B. '''Specification A is the one most commonly taken in the UK. '''(Specification B is mainly taken overseas and far fewer good grades are awarded).  
 
* Edexcel offer IGCSE Maths A and B. '''Specification A is the one most commonly taken in the UK. '''(Specification B is mainly taken overseas and far fewer good grades are awarded).  
 
* 9-1 grading, for exams from summer 2018.  
 
* 9-1 grading, for exams from summer 2018.  
* There is a [https://qualifications.pearson.com/en/qualifications/edexcel-international-gcses-and-edexcel-certificates/international-gcse-mathematics-a-2016.coursematerials.html#filterQuery=Pearson-UK:Category%2FTeaching-and-learning-materials mapping document] showing the changes from the old syllabus 4MA0 to the new 4MA1. The main difference is a move from A*-G grading to 9-1 grading; a small increase in the number and algebra assessment objective weighting; more questions on problem-solving and mathematical reasoning and a revised formulae sheet.  
+
* This [https://qualifications.pearson.com/en/qualifications/edexcel-international-gcses-and-edexcel-certificates/international-gcse-mathematics-a-2016.coursematerials.html#filterQuery=Pearson-UK:Category%2FTeaching-and-learning-materials mapping document] shows the changes from the old syllabus 4MA0 to the new 4MA1. The main difference is a move from A*-G grading to 9-1 grading; a small increase in the number and algebra assessment objective weighting; more questions on problem-solving and mathematical reasoning and a revised formulae sheet.  
 
* Available as foundation tier (papers 1F and 2F; grades 1-5) and higher tier (papers 1H and 2H; grades 4-9). Questions on the higher tier will assume knowledge from the foundation tier subject content.  
 
* Available as foundation tier (papers 1F and 2F; grades 1-5) and higher tier (papers 1H and 2H; grades 4-9). Questions on the higher tier will assume knowledge from the foundation tier subject content.  
 
* 2 x 2-hour papers. All are calculator papers.    
 
* 2 x 2-hour papers. All are calculator papers.    
Line 143: Line 144:
 
Some teacher resources are available on the [https://qualifications.pearson.com/en/qualifications/edexcel-international-gcses-and-edexcel-certificates/international-gcse-mathematics-a-2016.coursematerials.html#%2FfilterQuery=Pearson-UK:Category%2FTeaching-and-learning-materials Edexcel IGCSE maths specification page]. We also have a [https://he-exams.wikia.org/wiki/Maths_Resources maths resources page], which covers most exam boards.
 
Some teacher resources are available on the [https://qualifications.pearson.com/en/qualifications/edexcel-international-gcses-and-edexcel-certificates/international-gcse-mathematics-a-2016.coursematerials.html#%2FfilterQuery=Pearson-UK:Category%2FTeaching-and-learning-materials Edexcel IGCSE maths specification page]. We also have a [https://he-exams.wikia.org/wiki/Maths_Resources maths resources page], which covers most exam boards.
   
<u>Textbooks</u>
+
<u>Textbooks for Edexcel IGCSE maths</u>
  +
  +
Check whether answers to all the questions are provided in the book or are needed to be sourced elsewhere. For further advice and recommendations ask on the [https://www.facebook.com/groups/HELinksUK.IGCSE/ HE exams and alternatives group]
   
 
[https://www.amazon.co.uk/Edexcel-International-GCSE-Mathematics-Student/dp/0435181440/ref=sr_1_4?dchild=1&keywords=edexcel+IGCSE+maths&qid=1598783437&sr=8-4 (Pearson) Edexcel International GCSE (9-1) Mathematics A Student Book 1 (2016)]  and [https://www.amazon.co.uk/Edexcel-International-GCSE-Mathematics-Student/dp/0435183052/ref=sr_1_3?dchild=1&keywords=edexcel+IGCSE+maths+pearson+2&qid=1598783560&sr=8-3 Student Book 2] by Turner and Potts. You will need to buy both books to cover the higher tier material.
 
[https://www.amazon.co.uk/Edexcel-International-GCSE-Mathematics-Student/dp/0435181440/ref=sr_1_4?dchild=1&keywords=edexcel+IGCSE+maths&qid=1598783437&sr=8-4 (Pearson) Edexcel International GCSE (9-1) Mathematics A Student Book 1 (2016)]  and [https://www.amazon.co.uk/Edexcel-International-GCSE-Mathematics-Student/dp/0435183052/ref=sr_1_3?dchild=1&keywords=edexcel+IGCSE+maths+pearson+2&qid=1598783560&sr=8-3 Student Book 2] by Turner and Potts. You will need to buy both books to cover the higher tier material.
Line 153: Line 156:
 
CGP have published a student maths book, but it broadly covers GCSE and IGCSE and is not syllabus-specific.
 
CGP have published a student maths book, but it broadly covers GCSE and IGCSE and is not syllabus-specific.
   
<u>Workbooks/Revision books</u>
+
<u>Workbooks and Revision books for Edexcel IGCSE maths</u>
   
 
These are not essential, but some students may find them useful. You don't need them all!
 
These are not essential, but some students may find them useful. You don't need them all!
Line 173: Line 176:
 
[https://www.amazon.co.uk/Grade-Edexcel-International-Maths-10-Minute/dp/1789082706/ref=sr_1_8?dchild=1&keywords=edexcel+IGCSE+maths&qid=1598783546&sr=8-8 Grade 9-1 Edexcel International GCSE Maths 10-Minute Tests - Higher (includes Answers)(2019)]
 
[https://www.amazon.co.uk/Grade-Edexcel-International-Maths-10-Minute/dp/1789082706/ref=sr_1_8?dchild=1&keywords=edexcel+IGCSE+maths&qid=1598783546&sr=8-8 Grade 9-1 Edexcel International GCSE Maths 10-Minute Tests - Higher (includes Answers)(2019)]
   
[https://www.amazon.co.uk/Grade-Edexcel-International-GCSE-Maths/dp/1789084067/ref=sr_1_13?dchild=1&keywords=edexcel+IGCSE+maths&qid=1598783546&sr=8-13 New Grade 9-1 Edexcel International GCSE Maths: Revision Question Cards (2019)] Note these are '''question cards''', not flash cards on topics. If you want flash cards, with brief topic overviews, you might prefer the [https://www.amazon.co.uk/REVISE-Edexcel-Mathematics-Higher-Revision/dp/129217322X/ref=sr_1_2_sspa?dchild=1&keywords=GCSE+maths+revision+cards&qid=1598784570&sr=8-2-spons&psc=1&spLa=ZW5jcnlwdGVkUXVhbGlmaWVyPUFWSFpIT01BSVpGN1omZW5jcnlwdGVkSWQ9QTAwMzIzMTcySVIzU1o2SEwwWkZFJmVuY3J5cHRlZEFkSWQ9QTA0MDY2MDYxUEhEQUM4WFJTME5NJndpZGdldE5hbWU9c3BfYXRmJmFjdGlvbj1jbGlja1JlZGlyZWN0JmRvTm90TG9nQ2xpY2s9dHJ1ZQ== REVISE Edexcel GCSE (9-1) Mathematics Higher Revision Cards] which have a very similar content to IGCSE
+
[https://www.amazon.co.uk/Grade-Edexcel-International-GCSE-Maths/dp/1789084067/ref=sr_1_13?dchild=1&keywords=edexcel+IGCSE+maths&qid=1598783546&sr=8-13 New Grade 9-1 Edexcel International GCSE Maths: Revision Question Cards (2019)] Note these are '''question cards''', not flash cards on topics. If you want flash cards, with brief topic overviews, you might prefer the [https://www.amazon.co.uk/REVISE-Edexcel-Mathematics-Higher-Revision/dp/129217322X/ref=sr_1_2_sspa?dchild=1&keywords=GCSE+maths+revision+cards&qid=1598784570&sr=8-2-spons&psc=1&spLa=ZW5jcnlwdGVkUXVhbGlmaWVyPUFWSFpIT01BSVpGN1omZW5jcnlwdGVkSWQ9QTAwMzIzMTcySVIzU1o2SEwwWkZFJmVuY3J5cHRlZEFkSWQ9QTA0MDY2MDYxUEhEQUM4WFJTME5NJndpZGdldE5hbWU9c3BfYXRmJmFjdGlvbj1jbGlja1JlZGlyZWN0JmRvTm90TG9nQ2xpY2s9dHJ1ZQ== REVISE Edexcel GCSE (9-1) Mathematics Higher Revision Cards] which have a very similar content to IGCSE.
   
=== '''CAIE International GCSE Maths''' ===
+
=== '''Cambridge (CAIE) International GCSE Maths''' ===
 
[http://www.cie.org.uk/programmes-and-qualifications/cambridge-igcse-mathematics-0580/ CIE IGCSE Maths 0580] and [https://www.cambridgeinternational.org/programmes-and-qualifications/cambridge-igcse-mathematics-9-1-0980/ 0980]
 
[http://www.cie.org.uk/programmes-and-qualifications/cambridge-igcse-mathematics-0580/ CIE IGCSE Maths 0580] and [https://www.cambridgeinternational.org/programmes-and-qualifications/cambridge-igcse-mathematics-9-1-0980/ 0980]
 
* 0580 and 0980 are identical syllabuses and exams, but the grading for 0580 is A*-G and 0980 is 9-1. Some exam centres will only allow candidates to register for 0980. 
   
  +
* Available as core ( grades 1-5) or extended (grades 4-9) tiers. Core is paper 1 (1 hour) and 3 (2 hours);extended is paper 2 (1 hour 30 mins) and 4 ( 2 hours 30 mins) 
0580 and 0980 are identical syllabuses and exams, but the grading for 0580 is A*-G and 0980 is 9-1. Some exam centres will only allow candidates to register for 0980. 
 
   
  +
* All papers allow a calculator  
== Maths Resources ==
 
We have a page full of '''maths resources''' - useful, mostly free, maths sites, YouTube channels, and some paid-for resources like online courses. Please see [[Maths Resources]] .   
 
   
== Textbooks for GCSE / IGCSE Maths ==
+
==== Resources for Cambridge (CAIE) IGCSE Maths ====
  +
(Currently updating)
NOTE: some of these book links might need updating for the latest syllabuses...
 
   
  +
<u>Textbooks for CAIE IGCSE maths</u>
Choose your textbook according to whether it is GCSE/IGCSE and the board eg search for 'edexcel gcse maths 2015 Student Book' or 'cie igcse maths Student Book' on Amazon. Note that a 'Student book' is a complete textbook offering full explanation and enough practice to be a complete course, whereas a 'Revision guide' is intended merely to supplement a course taught elsewhere.  High street shops normally only stock Revision Guides, but you can order Student Books online.  Check whether full answers are available for Student Books, as some publishers only make these available in their hugely expensive Teacher's Guides, while others make all answers freely available online or in a free CD-ROM.  Edexcel will always provide answers to their own textbooks; experience on the HE Exams group has been that other publishers may also provide them if you explain your predicament.
 
   
  +
Check whether answers to all the questions are provided in the book or are needed to be sourced elsewhere. For further advice and recommendations ask on the [https://www.facebook.com/groups/HELinksUK.IGCSE/ HE exams and alternatives group]
[http://www.amazon.co.uk/GCSE-Mathematics-Edexcel-2010-Student/dp/1846900832/ref=sr_1_1?ie=UTF8&qid=1365257863&sr=8-1&keywords=edexcel+gcse+maths+student+book Edexcel GCSE Maths A Student Book] A bit short on content compared to the usual standard.
 
   
  +
<u>Workbooks and Revision books for CAIE IGCSE maths</u>
[http://www.amazon.co.uk/IGCSE-Mathematics-Edexcel-Certificate-Specification/dp/1444138227/ref=sr_1_16?ie=UTF8&qid=1365259244&sr=8-16&keywords=edexcel+igcse+maths+student+book IGCSE Mathematics for Edexcel by Alan Smith] An independent textbook which many home educators consider more thorough than Edexcel's own book. Answers are on the included CD-Rom, but you can also access this [https://drive.google.com/file/d/0B3yja89lYiciTnpBT3ZIQl9lSzA/edit?usp=sharing backup copy of the Answers for Alan Smith IGCSE Mathematics for Edexcel]
 
   
 
== General Maths Resources ==
"We found the book much more thorough than Edexcel's own textbook, unusually, with clear explanations and lots of practice questions."
 
 
We have a page full of '''maths resources''' - useful, mostly free, maths sites, YouTube channels, and some paid-for resources like online courses. Please see [[Maths Resources]] .   
 
Another view:
 
 
"We have just bought the Alan Smith book as it was so highly recommended but I can't see anything that sets it above the Collins or Oxford editions. It does seem to have a lot of 'white paper' i.e. empty space on the page as though it is formatted for a different size paper.   There are a lot of number problems and, compared to the other books, not many word problems.  The explanations appear no more detailed than the other books.   We'll be sending it back."
 
 
[http://www.amazon.co.uk/Collins-IGCSE-Maths-Cambridge-Student/dp/0007410182/ref=sr_1_4?s=books&ie=UTF8&qid=1368731098&sr=1-4&keywords=collins+igcse+revision+maths Collins CIE IGCSE Maths Student Book] Complete textbook for the course, but note that book only includes answers to practice questions; for the exam-style revision questions, the answers are in the teacher's guide which has to be bought separately at around £100! It may be possible to obtain them from the publisher but we have no information on whether they will provide it at present.
 
 
[http://www.amazon.co.uk/Collins-IGCSE-Maths-Cambridge-Revision/dp/000745127X/ref=sr_1_1?s=books&ie=UTF8&qid=1368035475&sr=1-1&keywords=collins+igcse+revision+maths Collins CIE IGCSE Maths Revision Workbook]<br />"The Revision book has 120 pages of very readable revision at the front of the book and then 200 pages of 'workbook' at the back, with space to work the answers etc.    The answers to the problems are in the back of the book.   This book presumes you have either finished the course or have the textbook.  I doubt it could be used as a stand-alone book for teaching the course, although if you are also using Stuckonhomework or Conquer Maths it may be enough."
 
 
[http://www.amazon.co.uk/Collins-Revision-Maths-Edexcel-Higher/dp/0007340990/ref=sr_1_1?s=books&ie=UTF8&qid=1368037398&sr=1-1&keywords=9780007340996 Collins Edexcel GCSE Maths A Revision Workbook]  Edexcel *workbook* for GCSE A (note GCSE, not IGCSE).
 
   
 
== What next after GCSE maths? ==
 
== What next after GCSE maths? ==
Line 237: Line 231:
 
*The Man Who Knew Infinity (Ramanujan)
 
*The Man Who Knew Infinity (Ramanujan)
   
  +
== ==
== Items being currently checked and edited ==
 
[https://qualifications.pearson.com/content/dam/pdf/International%20GCSE/Mathematics%20A/2016/teaching-and-learning-materials/GCSE-Mathematics-1MA1-and-International-GCSE-Mathematics-4MA1-compared.doc Edexcel Comparison of GCSE and IGCSE maths] - useful document comparing the structure of Edexcel GCSE maths 1MA1 and IGCSE maths 4MA1.
 
 
___________
 
 
'''30-second version of this page:'''
 
 
CIE maths (0980). It has two papers; for core, 1 hr and 2hr, and for extended, 1.5 hrs and 2.5hrs. It is the new version of 0580 and replaces 0626.
 
 
Edexcel IGCSE maths is 4MA1 and is now graded 9-1. However, the syllabus content has only changed slightly.
 
 
The last sitting of Edexcel IGCSE specification 4MA0 was January 2018.
 
 
Edexcel IGCSE is two 2 hour papers with a formula sheet for each paper. Calculator allowed for both papers.
 
 
[http://www.bbc.co.uk/news/education-33025782 How do the old and new GCSE maths compare for difficulty?] - new research (2015) on how current and new specs compare to foreign exams and IGCSE .
 
 
[[Maths A-level|A-Level and AS-Level Maths]] has its own page.
 
 
We have a page full of '''maths resources''' - useful, mostly free, maths sites, YouTube channels, and some paid-for resources like online courses. Please see [[Maths Resources]] .
 
 
_________________
 
 
There is very little difference between the exam boards for maths GCSE, so choose whichever you can find a convenient exam centre for. The most popular (and perhaps the most straightforward to find exam centres and resources for) is GCSE maths, but all options are discussed below.
 
 
____________________
 
 
[http://qualifications.pearson.com/en/qualifications/edexcel-international-gcses-and-edexcel-certificates/international-gcse-mathematics-a-2009.news.html?article=%2Fcontent%2Fdemo%2Fen%2Fnews-policy%2Fqualifications%2Finternational-gcses%2Fmathematics%2FPlanned-changes-to-International-GCSE-Mathematics-for-UK-and-International-centres-latest-news Edexcel's website] offers the following overview:
 
=== "Mathematics A ===
 
* A move from the current A*–G to the new 9–1 grading structure
 
* Some minor additions to the content assessed at each tier to reflect this new 9–1 grading structure
 
* A small increase in the Number & Algebra assessment objective weighting at the expense of Statistics
 
* A few more questions on problem-solving and mathematical reasoning
 
* A revised formulae sheet at each tier.
 
Beyond the above, we are not changing how we assess the International GCSE Mathematics Specification A, which will continue to have two tiers of entry and two × two-hour calculator papers."
 

Revision as of 11:24, 30 August 2020

*******NOTE THIS PAGE IS CURRENTLY BEING UPDATED. SOME INFORMATION MIGHT NOT BE UP-TO-DATE. IF YOU ARE NOT SURE PLEASE ASK ON THE HE exams and Alternatives Group.******

__________________________________________________________________________________________

This page focuses on GCSE and IGCSE maths

Other relevant pages:

Maths A and AS level

Further and Additional Maths

Functional Skills (for those not able to achieve GCSE or IGCSE maths qualifications)

Maths Resources

Resources for Edexcel GCSE maths

Should I study GCSE or IGCSE Maths?

Home educated children can take GCSE or International GCSE (IGCSE) maths

GCSE maths:

  • changed to 9-1 grading from the summer 2017 exams. Prior to this, GCSE Maths was considered "easier", but now GCSE and IGCSE are of similar difficulty.
  • GCSE maths (all boards) have 3 x 1.5-hour papers. Paper 1 is a non calculator paper.
  • There is no formula sheet for any paper.
  • Exams are available in the summer only (Exceptions: Over 16s can enter for Autumn sittings, if they are 16+ by the end of August that year )
  • GCSE maths is offered by several exam boards (eg AQA, OCR, Edexcel). There is little difference between the content for the different maths boards for GCSE, although exam paper/question style might differ slightly.

IGCSE maths:

  • changed to 9-1 grading from Summer 2018 (Edexcel) and 2019 (Cambridge). Cambridge IGCSE has two identical syllabuses, one of which is 9-1 grading, the other is A*-G grading.
  • Content is similar to GCSE maths, but there are some topics which are not in GCSE maths.
  • Two papers. A calculator is allowed in both papers.
  • A formula sheet is supplied for Edexcel IGCSE, but not for Cambridge (CAIE) IGCSE maths.
  • Exams are available for October/November (Cambridge IGCSE), January (Edexcel IGCSE) and summer (Cambridge and Edexcel IGCSE) sittings.

On the Teaching and learning materials' section of the Edexcel IGCSE maths page there is a mapping document comparing the Edexcel GCSE and IGCSE specifications.

Still have questions? Ask on the Home Education UK Exams & Alternatives group.

What maths decisions do I need to make?

  • Which qualification?  GCSE or IGCSE? (Or Further/Additional Maths? Or A-level?)
  • Which tier -  foundation or higher?
  • Which exam board?

If you know which tier you want, you can scroll down to the exam syllabus options.

Foundation or Higher Tier?

When entering the exam you have to choose whether the candidate is taking Foundation Tier or Higher Tier papers. The papers have different codes.  

Foundation Tier

  • Intended for students who struggle with maths or who just need a maths qualification, and do not want to study maths or sciences at higher level.
  • The highest grade you can obtain at this tier is a 5. If your child wishes to do A levels at sixth form or college, do check if they will need a grade 6 or above to do so.
  • The mark necessary to pass this paper is higher than for the higher tier papers, but the paper is designed to be accessible and to cover fewer topics, and so to be less off-putting for students.

Higher Tier 

  • Intended for students who want the chance to get a grade 6 or higher, or who might wish to study maths or sciences at A level.
  • It requires a lower mark to pass, but the subject material is harder, so you cannot directly compare the marks.  
  • If the student wishes to have any chance of studying maths at a higher level in future, they must take the higher tier. They may also need to obtain a grade 6 or above if they wish to study sciences or computing at most colleges and sixth forms. Do check the entry requirements for local colleges/sixth forms.

Although you can retake the exam at higher tier after passing at foundation level, in order to obtain a higher grade, generally students go straight for the most appropriate tier.

Ofqual's Advice January 2019:

"There is nothing on certificates that details the tier of entry. So a grade 4 on foundation tier has the same value and is indistinguishable from a grade 4 gained on the higher tier...Tiered exam papers have questions (usually around 20%) that are common to both foundation and higher tier. Exam boards use these to align standards between tiers, so it is no easier to get a grade on one tier than another...There is a ‘safety net’ grade on the higher tier, for those who just miss a grade 4 (4-4 on combined science) but it is narrower than a normal grade (typically about half the number of marks). If a student misses that, they will be ungraded...In general, a student whose target grade is a grade 4 or grade 5 should be entered for foundation tier. We know that some organisations recommend the opposite, but that puts students at risk of missing out on a grade."

Ofqual 2017 advice on choosing the right GCSE maths tier:

"There are two tiers: foundation and higher. Each tier is targeted at a range of the new numerical grades: 9 to 4 on the higher tier (with a ‘safety net’ grade 3 for students scoring a small number of marks below grade 4), and 5 to 1 on the foundation tier...Students can achieve grades 5 to 3 on both tiers, and the exam papers will include some questions that are the same on both tiers. This will help exam boards ensure that it is no more or less difficult to achieve the same grade on different tiers."

Edexcel have some information to help you decide which tier to enter?

Can you take both tiers?

Some home-ed families take both tiers.  However, you can't usually do this in the same exam season, because foundation and higher tier maths will be timetabled in the same slot. There are ways round this, eg you could enter for foundation IGCSE maths and higher GCSE maths, or do IGCSE maths in the winter sitting and GCSE in the summer.

MAthsTierFlowchart4

Maths Tier Decision Tree

This decision tree was made by one home educator to help people choose the right tier for maths, but opinion is divided on when a 'strategic' approach to taking Higher tier. If in doubt, try some past papers and see how you get on.

__________________

Which exam board?

  • There is no consensus on which exam board (AQA, Edexcel etc) is easiest or better, although some paper or question styles might suit your child better.
  • The most important thing is to find out what exam boards can be facilitated at your local exam centres as this will determine which exam board your child can study.
  • Once you know which exam boards can be facilitated at your exam centres, download some sample papers from each board and see which suits your child, and/or look at the textbooks and resources available for each syllabus and see which your family prefers.

For GCSE maths, there are a range of exam boards available, including Edexcel, OCR and AQA. The syllabus is dictated by the government and so there is little difference in topics or difficulty between boards. The number of resources e.g. commercially produced practice books and papers and online resources varies between boards. Currently the board with most available resources is Edexcel.

For IGCSE maths, you can choose between Cambridge and Edexcel. There are some style and content differences between them.

GCSE Maths Specifications

This relates to GCSE maths. For IGCSE maths specifications, see below.

GCSE sittings are controlled by the government and are only available to all in the summer. The November sitting is restricted to students who were aged 16+ on 31 August before the exams. One paper is a non calculator paper. The non-calculator questions are designed to be manageable without a calculator, so you don't need to expect terrifying questions.

Edexcel GCSE Maths (1MA1)

Edexcel GCSE Maths (2015) page

  • Specification code 1MA1
  • Exams from June 2017
  • This exam is graded 9-1 and has higher and foundation tiers.
  • Available bas foundation tier (grades 1 – 5) and higher tier (grades 4 – 9 but grade 3 allowed). Students must take three question papers at the same tier. All question papers must be taken in the same exam season
  • 3 papers, each 1 hour 30 minutes. Paper 1 is non-calculator, while papers 2 and 3 are calculator papers.

Resources for Edexcel GCSE Maths - in order of progression.

AQA GCSE Maths (8300)

AQA 9-1 GCSE Maths (2015) page  

  • Specification code 8300
  • Exams from June 2017
  • Available as foundation tier (grades 1 – 5) and higher tier (grades 4 – 9). Students must take three question papers at the same tier. All question papers must be taken in the same exam season.
  • 3 papers, each 1 hour 30 minutes. Paper 1 is non-calculator, while papers 2 and 3 are calculator papers.

Summary of the specification from AQA. 

OCR GCSE Maths (J560)

OCR 1-9 GCSE Maths (2015) page

  • Specification code J560
  • Exams from summer 2017
  • Available as foundation tier (grades 1-5) and higher tier (grades 4-9). Students must take 3 papers at the same tier. All question papers must be taken in the same exam season
  • 3 papers, each 1 hour 30 minutes. Foundation: Paper 2 is non-calculator, while papers 1 and 3 are calculator papers. Higher tier: Paper 5 is non-calculator, while papers 4 and 6 are calculator papers.

EDUQAS 1-9 GCSE Maths

EDUQAS 1-9 GCSE Maths

This is the English version of the Welsh exam board syllabus WJEC. If you are considering this qualification, do check that you have an exam centre registered for the exam board.

  • specification code
  • exams from summer 2017
  • Foundation and higher tier available
  • 2 papers, both 2 hours 15 minutes each: component 1 (non-calculator) and component 2 (calculator). Both components must be taken in the same exam season.

WJEC GCSE maths and GCSE maths - numeracy

(For those living in Wales) See here for more info about these qualifications. 3 tiers, 2 papers (paper 1 non-calculator; paper 2 calculator).

WJEC GCSE maths -numeracy - Only available in Wales. "GCSE in Maths Numeracy will assesses the mathematics that learners will need in their everyday lives, the world of work and other general curriculum areas"

WJEC GCSE maths - for those in Wales. (Eduqas is the eqivalent to WJEC in England). "GCSE in Maths will extend to aspects of mathematics needed for progression to scientific, technical or further mathematical study."

IGCSE Maths Specifications

Edexcel International GCSE (IGCSE) Maths A (4MA1)

Edexcel IGCSE maths A specification, exam resources and teaching and learning materials (use the options on the left of the page to select).

  • Edexcel offer IGCSE Maths A and B. Specification A is the one most commonly taken in the UK. (Specification B is mainly taken overseas and far fewer good grades are awarded).  
  • 9-1 grading, for exams from summer 2018.  
  • This mapping document shows the changes from the old syllabus 4MA0 to the new 4MA1. The main difference is a move from A*-G grading to 9-1 grading; a small increase in the number and algebra assessment objective weighting; more questions on problem-solving and mathematical reasoning and a revised formulae sheet.  
  • Available as foundation tier (papers 1F and 2F; grades 1-5) and higher tier (papers 1H and 2H; grades 4-9). Questions on the higher tier will assume knowledge from the foundation tier subject content.  
  • 2 x 2-hour papers. All are calculator papers.    

Resources for Edexcel IGCSE Maths

Some teacher resources are available on the Edexcel IGCSE maths specification page. We also have a maths resources page, which covers most exam boards.

Textbooks for Edexcel IGCSE maths

Check whether answers to all the questions are provided in the book or are needed to be sourced elsewhere. For further advice and recommendations ask on the HE exams and alternatives group

(Pearson) Edexcel International GCSE (9-1) Mathematics A Student Book 1 (2016)  and Student Book 2 by Turner and Potts. You will need to buy both books to cover the higher tier material.

(Hodder) Edexcel International GCSE (9-1) Mathematics Student Book (2016) by Alan Smith and Sophie Goldie

(Collins) Edexcel International GCSE Maths Student Book (Edexcel International GCSE) (2016) by Chris Pearce

CGP have published a student maths book, but it broadly covers GCSE and IGCSE and is not syllabus-specific.

Workbooks and Revision books for Edexcel IGCSE maths

These are not essential, but some students may find them useful. You don't need them all!

Hodder

Edexcel International GCSE (9-1) Mathematics Practice Book Third Edition (2016) by Johnson and Clough

CGP

Edexcel International GCSE Maths Revision Guide - for the Grade 9-1 Course (with Online Edition) (2017)

Edexcel International GCSE Maths Exam Practice Workbook: Higher - Grade 9-1 (with Answers)(2017)

Edexcel International GCSE Maths Workbook - for the Grade 9-1 Course (2017) (note this book does not usually come with answers. The answers are available separately in this book, here It might be more efficient to purchase the exam practice workbook linked above.)

Edexcel International GCSE Maths Grade 8-9 Targeted Exam Practice Workbook (includes Answers)(2017)

Grade 9-1 Edexcel International GCSE Maths 10-Minute Tests - Higher (includes Answers)(2019)

New Grade 9-1 Edexcel International GCSE Maths: Revision Question Cards (2019) Note these are question cards, not flash cards on topics. If you want flash cards, with brief topic overviews, you might prefer the REVISE Edexcel GCSE (9-1) Mathematics Higher Revision Cards which have a very similar content to IGCSE.

Cambridge (CAIE) International GCSE Maths

CIE IGCSE Maths 0580 and 0980

  • 0580 and 0980 are identical syllabuses and exams, but the grading for 0580 is A*-G and 0980 is 9-1. Some exam centres will only allow candidates to register for 0980. 
  • Available as core ( grades 1-5) or extended (grades 4-9) tiers. Core is paper 1 (1 hour) and 3 (2 hours);extended is paper 2 (1 hour 30 mins) and 4 ( 2 hours 30 mins) 
  • All papers allow a calculator  

Resources for Cambridge (CAIE) IGCSE Maths

(Currently updating)

Textbooks for CAIE IGCSE maths

Check whether answers to all the questions are provided in the book or are needed to be sourced elsewhere. For further advice and recommendations ask on the HE exams and alternatives group

Workbooks and Revision books for CAIE IGCSE maths

General Maths Resources

We have a page full of maths resources - useful, mostly free, maths sites, YouTube channels, and some paid-for resources like online courses. Please see Maths Resources .   

What next after GCSE maths?

Additional Maths / Further Maths / FSMQ - see separate page on Further and Additional Maths, and other ways to make use of the time between GCSE and A-level maths.

Other Maths Activities

UKMT Individual Challenges and mentoring materials. The UKMT material is good because it's fresh and a different approach from standard 'textbook' maths.  See above for links.

The Problem Solver's Handbook, from UKMT

The Art of Problem Solving books, also from UKMT - these would probably be good for the proofs you're after, and it's an international approach so may work well with what your son has already used.

Project Euler - maths problems combined with programming problems - https://projecteuler.net/

"Project Euler is a series of challenging mathematical/computer programming problems that will require more than just mathematical insights to solve. Although mathematics will help you arrive at elegant and efficient methods, the use of a computer and programming skills will be required to solve most problems."

Vedic Maths - DS1 enjoyed learning lots of shortcuts with this approach.  I wouldn't get too carried away with stories of its heritage because that part is probably made up - they are maths tricks, but useful ones and apparently very efficient.  See http://blogannath.blogspot.co.uk/2009/06/introduction-to-vedic-mathematics.html?m=1

The following books were recommended by a maths whizz on the HE-Exams list as being good material for mathsy teens, and the sort of thing which might be good to discuss at interviews:

  • James Gleick's book on chaos
  • Euclid's Elements
  • Principia
  • Ian Stewart's Cabinet of Mathematical Curiosities
  • C J Bradley's Introduction to Number Theory
  • Surely You're Joking Mr Feynman
  • The Man Who Loved Only Numbers
  • The Man Who Knew Infinity (Ramanujan)