The below are all the **HIGHER TIER** questions collated by topic from:

- AQA – Sample Assessment Material and Practice set 1 and 2
- OCR – Sample Assessment Material and Practice set 1
- Pearson Edexcel – Sample Assessment Material, Specimen set 1 and Specimen set 2.
- WJEC Eduqas – Sample Assessment Material

Please note that these questions have been copied/retyped from the original sample/specimen assessment materials and whilst every effort has been made to ensure there are no errors, any that do appear are mine and not the exam boards (similarly any errors I have corrected from the originals are also my corrections and not theirs!).

The objective is to provide support to fellow teachers and to give you a flavour of how different topics “could” be examined. They **should not be used** to form a decision as to which board to use (as if they would .. but it needs to be said!). There is no guarantee that a topic will or won’t appear in the “live” papers from a specific exam board or that examination of a topic will be as shown in these questions.

Please also see my other notes about this resource **ON THIS POST **and also check out the questions by topic for the** FOUNDATION TIER PAPERS** !

** PS** – The only questions I have excluded , are a few of the questions in relation to scale drawings and bearings due to scaling the pictures.

Probability – H – Venn Diagrams v2

**Probability – H – Venn Diagrams v2 – SOLUTIONS v2**

Probability – H – Probability 1 v2

**Probability – H – Probability 1 v2 – SOLUTIONS v2**

Probability – H – Probability 2 v2

**Probability – H – Probability 2 v2 – SOLUTIONS v2**

Probability – H – Frequency Trees v2

**Probability – H – Frequency Trees v2 – SOLUTIONS**

**GEOMETRY & MEASURES**

Geometry – H – Angles in Parallel Lines v2

**Geometry H Angles in parallel lines v2 – SOLUTIONS**

Geometry – H – Angles in polygons v2

**Geometry – H – Angles in polygons v2 – SOLUTIONS**

Geometry – H – Area & Perimeter v2

**Geometry-H-Area-Perimeter-v2 – SOLUTIONS**

Geometry – H – Circle Theorems v2

**Geometry – H – Circle Theorems v2 – SOLUTIONS**

Geometry – H – Enlargements v2

**Geometry H – Enlargements v2 – SOLUTIONS**

Geometry – H – Similarity & Congruence v2

**Geometry-H-Similarity-Congruence-v2 – SOLUTIONS**

**Geometry – H – Reflections v2 – SOLUTIONS**

Geometry – H – Pythagoras Theorem v2

**Geometry – H – Pythagoras Theorem v2 – SOLUTIONS**

Geometry – H – Exact Value of Trigonometric Ratios v2

**Geometry – H – Exact Value of Trigonometric Ratios v2 – SOLUTIONS**

Geometry – H – Translations v2

**Geometry – H – Translations v2 – SOLUTIONS**

Geometry – H – Trigonometry v2

**Geometry – H – Trigonometry v2 – SOLUTIONS v2**

Geometry H – Trigonometry 2-v2

**Geometry – H – Trigonometry 2 v2 – SOLUTIONS**

**Geometry – H – Rotations v2 – SOLUTIONS**

Geometry – H – Volume of Prisms, Cones, Pyramids and Spheres v2

**Geometry – H – Volume of Prisms, Cones, Pyramids and Spheres v2 – SOLUTIONS**

Geometry – H – Plans & Elevations v2

**Geometry – H – Plans & Elevations v2 – SOLUTIONS**

Geometry – H – Circles Arcs and Sectors v2

**Geometry – H – Circles-Arcs-and-Sectors-v2 – SOLUTIONS**

Geometry – H – 2D Shapes and 3D Forms v2

**Geometry H 2d-shapes and 3D form v2 – SOLUTIONS**

**ALGEBRA**

Algebra – H – Algebraic Fractions v2

**Algebra – H – Algebraic Fractions v2 – SOLUTIONS**

Algebra – H – Algebraic Proof v2

**Algebra – H – Algebraic Proof -v2 SOLUTIONS**

**Algebra – H – Coordinates v2 – SOLUTIONS v2**

Algebra – H – Equation of a Circle v2

Algebra – H – Equation of a Circle v2 – SOLUTIONS

Algebra – H – Equation of a Straight Line v3

**Algebra – H – Equation of a Straight Line v2 – SOLUTIONS v2**

Algebra – H – Factorising, Expanding, Solving Polynomials v2

**Algebra – H – Factorising, Expanding, Solving Polynomials v2 – SOLUTIONS**

Algebra – H – Forming & Solving Equations v2

**Algebra – H – Forming & Solving Equations v2 – SOLUTIONS**

**Algebra – H – Functions v2 – SOLUTIONS**

**Algebra – H – Inequalities v2 – SOLUTIONS**

**Algebra – H – Iteration v2 – SOLUTIONS**

Algebra – H – Quadratic & Cubic Graphs v2

**Algebra – H – Quadratic & Cubic Graphs v2 – SOLUTIONS**

Algebra – H – Quadratic Formula v2

**Algebra – H – Quadratic Formula v2 – SOLUTIONS**

**Algebra – H – Sequences v2 – SOLUTIONS**

Algebra – H – Simplify, Expand & Simplify v2

**Algebra – H – Simplify, Expand & Simplify v2 – SOLUTIONS**

Algebra – H – Simultaneous Equations v2

**Algebra – H – Simultaneous Equations v2 – SOLUTIONS v3**

Algebra – H – Straight Line Graphs v2

**Algebra – H – Straight Line Graphs v2 – SOLUTIONS**

Algebra – H – Substitution, Solving & Rearranging Equations v2

**Algebra – H – Substitution, Solving & Rearranging Equations v2 – SOLUTIONS v2**

Number – H – Factors, Multiples, Primes – Number properties v2

**Number – H – Factors, Multiples, Primes – Number properties v2 – SOLUTIONS**

**Number – H – Fractions v2 – SOLUTIONS**

Number – H – Fractions, Decimals & Percentages v2

**Number – H – Fractions, Decimals & Percentages v2 – SOLUTIONS v2**

Number – H – Multiples in Context v2

**Number – H – Multiples in Context v2 – SOLUTIONS**

Number – H – Number Problems v2

**Number-H-Number-Problems-v2 – SOLUTIONS**

**Number – H – Percentages v3 – SOLUTIONS v2**

Number – H – Product of Prime Factors, HCF & LCM v2

**Number – H – Product of Prime Factors, HCF & LCM v2 – SOLUTIONS**

Number – H – Reverse Percentages v2

**Number – H – Reverse Percentages v2 – SOLUTIONS**

Number – H – Rounding, Bounds and Error Intervals v2

**Number – H – Rounding, Bounds and Error Intervals v2 – SOLUTIONS**

**Number – H – Standard Form v2 – SOLUTIONS**

**Number – H – Surds v2 SOLUTIONS**

Number – H – Use of Calculator v2

**Number – H – Use of Calculator v2 – SOLUTIONS**

Number – H – Decimals including money v2

**Number-H-Decimals-including-money-v2 – SOLUTIONS**

**Number – H – Combinations v2 – SOLUTIONS**

Number – H – Bidmas, Powers & Roots v2

**RATIO & PROPORTION**

Ratio – H – Speed, Distance, Time & Rates of Change v2

**Ratio – H – Speed, Distance, Time & Rates of Change v2 – SOLUTIONS**

Ratio – H – Simple, Compound Interest, Depreciation, Growth & Decay v2

**Ratio-H-simple-compound-interest-depreciation-growth-decay-v2-solutions**

**Ratio – H – Ratio 1 v2 -SOLUTIONS**

Ratio – H – Proportional Reasoning v2

**Ratio-H-Proportional-Reasoning-v2 – SOLUTIONS**

Ratio – H – Proportion – Recipes v2

**Ratio-H-Proportion-Recipes-v2 – SOLUTIONS**

Ratio – H – Direct & Inverse Proportion v2

**Ratio – H – Direct & Inverse Proportion v2 – SOLUTIONS**

Ratio – H – Currency & Unit Conversion v2

Ratio – H – Conversion Graphs v2

**Ratio – H – Conversion graphs v2 – SOLUTIONS**

Ratio – H – Compound Measures v2

**Ratio-H-Compound-Measures-v2 – SOLUTIONS**

**Ratio – H -Best-Value v2 – SOLUTIONS**

STATISTICS

Statistics – H – Time Series v2

Statistics – H – Scatter Graphs v2

Statistics – H – Histograms v2

**Statistics H – Histograms v2 – SOLUTIONS**

Statistics – H – Cumulative Frequency v2

**Statistics – H -Cumulative frequency v2 – SOLUTIONS**

Robin MannersJanuary 5, 2016 at 8:05 amThis is really helpful. Is there the answers in a document at all?

adminJanuary 5, 2016 at 4:04 pmThat’s stage 2 … I’m working on it!

AnonymousJanuary 6, 2016 at 9:22 pmThanks for these. They are really very useful in this format and very much appreciated. You have saved me and our team a great deal of work here.

Helen BrookeJanuary 7, 2016 at 3:19 pmThanks – these are brilliant! Just what we need.

KinJanuary 18, 2016 at 12:25 pmWow! Thank-you very much for collating this fantastic resource. It will be very helpful for me.

6. Mel Muldowney - JustMaths - Mr Barton Maths BlogJanuary 20, 2016 at 11:37 pm[…] Both Tiers: http://justmaths.co.uk/2016/01/03/9-1-exam-questions-by-topic-both-tiers/ Higher: http://justmaths.co.uk/2015/12/21/9-1-exam-questions-by-topic-higher-tier/ Foundation: http://justmaths.co.uk/2015/11/29/9-1-exam-questions-by-topic-foundation-version-2/To […]

Matthew MeyerFebruary 9, 2016 at 9:58 pmAmazing! Thank you so much for putting these together! I’ll certainly be using these in lessons.

PETE COLLOPFebruary 10, 2016 at 3:09 amThank you. An excellent resource.

AnonymousMarch 8, 2016 at 10:31 pmCan you put the answers to upper and lower bound up next please! thank you

9 to 1 Exam Questions by Topic | 9to1MathsMarch 10, 2016 at 8:12 am[…] The amazing JustMaths has created a bank of questions from the new Specimen Papers organised by topic and sorted into Higher and Foundation: Here […]

RussellMarch 10, 2016 at 6:54 pmGreat resource!!

Is there a ZIP file with them all in to download them all at once? thank you so much quality resources to use

JustMathsMelMarch 12, 2016 at 9:28 pmI’m afraid I don’t as I may be updating them on a regular basis.

Hannah SmithsonMarch 15, 2016 at 8:20 pmOHMYDAYS I had my mock exams today and the questions were so hard. ( I am doing the new GCSE) and many of the questions that popped up are on this website! If only I found this website two days ago because I’m sure I failed them.

ShazaApril 20, 2016 at 5:19 pmHey have you managed to get the answers yet ? As it would be great if i can check my answers.

ShazaApril 20, 2016 at 5:20 pmIt would be great if i can check my answers,have you managed to get the answers yet ?

ShazaApril 20, 2016 at 5:29 pmNever mind you have put the soloutions up, thank you very much for creating this its extremely helpful.

LauraMay 2, 2016 at 5:47 pmThese look incredible! Do you have all of the papers in a zip file or do they need to be downloaded separately?

adminMay 2, 2016 at 6:37 pmI will make available as a zip file when the solutions are all done.

AnonymousMay 4, 2016 at 11:12 pmGreat thanks!

Coral ThomasMay 17, 2016 at 11:08 amHi Mel

I have noticed the Statistics Higher don’t have solutions (yet- maybe someone is working on them) but – I am happy to complete these.

How do I then share them?

Coral

adminMay 17, 2016 at 4:49 pmEmail them to me ?? Mel@justmaths.co.uk

Gem Awards 2016 - Liveindex News People PlacesJune 8, 2016 at 7:00 pm[…] 6. Best New GCSE Support The most useful set of resources for the new GCSE is the collection of Exam Questions by Topic on justmaths.co.uk. Mel has collated exam questions from the sample, specimen and practice papers […]

ShazJune 19, 2016 at 12:46 pmOn circle theorem H Q5 you take 180 from 83. I don’t understand that can you please explain?

adminJune 19, 2016 at 11:22 pmSPQ = 83 ( 39+34) and so angle QRS has to be 180-83 = 97 (opposite angles in a cyclic quadrilateral add to 180)

JoeJune 28, 2016 at 9:29 pmThe solutions for surds isn’t on here? http://2fv5d843v9w22sxtto1ibxtu.wpengine.netdna-cdn.com/wp-content/uploads/2015/12/Number-H-Surds-v2-SOLUTIONS.pdf

AnonymousJuly 10, 2016 at 3:22 pmAnyone has the answers for the ratio and proportion questions?

JustMathsMelJuly 10, 2016 at 9:22 pmnot yet no … one of my jobs for the summer is to complete the solutions for the ones that are missing. Sorry!

Sally McMillanJuly 18, 2016 at 10:09 pmHi Mel

Is there a “Trigonometry 1” missing from the Higher page? There are two different versions of “Trigonometry 2” on this page which seems to be more the harder trig stuff (sine rule, cosine rule etc) but no “Trigonometry 1” with more basic stuff. Thanks for all your hard work on this, totally amazing resource which I am linking in to my SOW as we speak!

JustMathsMelJuly 18, 2016 at 11:26 pmyes – good spot!!

I’ve updated now. Mel

GCSE New Content – Iterative Methods for Numerical Solution of Equations | Mathematics, Learning and TechnologyJuly 23, 2016 at 8:10 am[…] Just Maths we have so many wonderful resources including 9-1 questions by topic, looking at the Higher Tier questions, note that under Algebra (scroll down) Iteration – questions and solutions are available. […]

Laraine HakeSeptember 16, 2016 at 9:45 amStill finding these sample questions arranged by topic of great use. Thank you!

Is there any easy way on here of knowing whether individual questions would be on the calculator or non calculator paper, please?

adminSeptember 16, 2016 at 3:50 pmAfraid not – that’s what I wish I’d added to them!! Hindsight is a wonderful thing. Mels

JacksonSeptember 25, 2016 at 9:31 amThank you. Sharing this for free after spending a lot of time creating it is really selfless.

Izzy CarrollOctober 1, 2016 at 1:13 pmHi Mel these worksheets are a great resource and I was wondering whether the justmaths team were going to do any worksheets for the new practise papers on the edexcel website (New GCSE (9-1) Maths practice test papers x 12 – Set 1 and 2, March 2016 and New GCSE (9-1) Maths practice test papers x 6 – Set 3 July 2016) I would be happy to create a rough draft myself, if you email me the practise papers. izzycarroll62@gmail.com

Thanks Izzy

AmyOctober 9, 2016 at 9:22 amOn the Algebraic Proof Question 4 your answers prove it using consecutive terms. The exam question wants it proved for ANY two terms and the actual mark scheme proves it in a more general form.

JustMathsMelOctober 16, 2016 at 2:32 pmThanks for that I have replaced the solutions.

EllaNovember 5, 2016 at 4:30 pmThese questions are amazing, Can you please give the answers to volume of cones, prisms and pyramids abd also the ratio and proprtion questions.

Thank you

Mark RitchingsNovember 12, 2016 at 5:47 pmExcellent resource. Thank you. In question 4 of probability 2 you can write your first probability as 1/5 rather than a/5a.

RachaelDecember 2, 2016 at 12:52 pmThanks for a wonderful resource. Just checking the solution on Simultaneous Higher Q3. You have substituted y = 5 – 2x, should we substitute y = 5 + 2x, as we added 2x to get y by itself?

Sam HoyleDecember 10, 2016 at 4:49 pmI’ve decided to knuckle down on revision for the next year, this is amazing

AnonymousDecember 11, 2016 at 6:15 pmMel, is it possible to have solution of Proportional Reasoning, please.

M ParekhDecember 11, 2016 at 6:18 pmMel, please could I have the solution of Proportional reasoning. Thank you so much.

adminDecember 11, 2016 at 9:14 pmI’ve just uploaded it. M

AzalaDecember 31, 2016 at 7:33 pmHi Mel. Great work and very useful worksheets to work on . Have you got the solutions for speed time graph questions?

AnonymousDecember 31, 2016 at 11:29 pmAmazing! This is so helpful and very useful.

Legend27January 3, 2017 at 5:26 pmHi can you please write up the solutions for the volume of prism etc topic test please. Much appreciated thank you

boss manJanuary 4, 2017 at 6:25 pmalgebra-coordinates, shouldn’t the y coordinate be -6 and not 6, someone answer asap

adminJanuary 4, 2017 at 11:13 pmI’m not sure what question you are referring to. I’d need more information please mel@justmaths.co.uk

JustMathsMelJanuary 5, 2017 at 8:51 pmdone

JustMathsMelJanuary 5, 2017 at 10:45 pmHi Rachel – yes you’re correct. I’ve updated the document. Thanks for the feedback. Mel

JustMathsMelJanuary 5, 2017 at 10:51 pmHi Mark – yes you are correct … I have updated to include this too.

DominicJanuary 6, 2017 at 11:10 pmHappy New Year Mel and the team, hope you are well.- Just wanted to confirm a solution with you for exact trig ratios.

Question 1 wants the answer in the form ‘root k’, where k is an integer. Whilst we are used to always simplifying surds where possible, in this case are they wanting the single surd, which would be root 48?

Possibly not, but the wording seems that way.

Thanks for the endless and incredible effort.

JustMathsMelJanuary 7, 2017 at 9:02 pmHi Dominic – yes you are correct. I’ve updated the solutions with my own. mel

boss manJanuary 8, 2017 at 7:21 pmIF UR READING THIS AND IS A MATHS GENIUS(OR DECENT AT MATHS) REPLY ASAP!!!! ALGEBRA-EQUATION OF A CIRCLE QUESTION 3, THEY DID B*H DIVIDED BY 2 T GET THE AREA. BUT ITS NOT A RIGHT ANGLED TRIANGLE SO HOW CAN YOU DO THAT, DO U NOT DO 1/2(AB*SIN C) OR SATIN LIKE DAT

boss manJanuary 8, 2017 at 7:54 pmwork sheet on completing the square???also sine and cosine graphs, reply asap

adminJanuary 8, 2017 at 11:19 pmIf there isn’t any questions on those topics it’s because the exam boards hadn’t put any in the papers that are listed on the blog I’m afraid. It doesn’t mean they aren’t going to come up though.

adminJanuary 9, 2017 at 7:10 amIt is a right angled triangle

no soberJanuary 27, 2017 at 7:07 pmMELLLL!!!! IS THERE A WORK SHEET ON FINDING ARC LENGTHS AND AREAS OF SECTORS!!!!

boss manJanuary 30, 2017 at 6:47 pmwhi is this website called 9-1 topics when there are no new topics im lost, ie proof of circle theorems, velocity time graphs, kinematics etc

JustMathsMelJanuary 31, 2017 at 11:27 pmI’m sorry but I dont make the questions up … they are a collection of questions from the exam boards.

JustMathsMelJanuary 31, 2017 at 11:56 pmkinematics is not in the new GCSE. Proof of circle theorems in not new.

These questions are from the samples/specimen papers …

JustMathsMelJanuary 31, 2017 at 11:57 pmif there are any questions it will be on the circle worksheets – I’ve collated what questions were on the sample/specimens. Thats not to say they won’t appear if there arent any questions on a specific topic.

Mr BusbyFebruary 3, 2017 at 12:31 pmHi. These are awesome!

Is there a ZIP file containing all of the documents I could download rather than each one manually?

boss manFebruary 3, 2017 at 7:09 pmwhen you guys collect the questions from the exam paper do u use the mark scheme answers or do it urself, cos ive found quite a few mistakes 🙁 bounds Q10 the lower bound should be 7.15 not 7.05

DominicFebruary 5, 2017 at 8:28 pmDon’t know how you keep your composure with some of these crazy comments.

Anyway, a minor correction on the Trigonometry solutions V2, the first answer needs a slight addendum. The answer requires the full height (which has been underlined, so kudos for that) but then the 1.8m hasn’t been added on to the trig result.

Thanks again – Hope you don’t mind my pedanticism .

MoisesFebruary 9, 2017 at 7:54 amDo you have any for problems solving?

Great resources amazing work guys, I know that this will turn to a grade 7.

Thank you very much guys.👌💯💯

JustMathsMelFebruary 9, 2017 at 7:41 pmHi

corrected version now added

JustMathsMelFebruary 9, 2017 at 7:48 pmthanks for checking them for us!! now updated this one

JustMathsMelFebruary 10, 2017 at 12:50 amNot yet … I am still finding mistakes in the solutions and am still awaiting some solutions to be completed … when they are all in it is on my to do list. Sorry not to be more helpful. Mel

SuzyFebruary 13, 2017 at 4:12 pmPlease can you add the answers for the surd worksheet because I’m not able to find them

JustMathsMelFebruary 13, 2017 at 5:52 pmThey are underneath the worksheet

kingFebruary 16, 2017 at 7:16 pmdo you have videos?

adminFebruary 16, 2017 at 11:45 pmYes we do if your school has a subscription with us.

AnonymousFebruary 23, 2017 at 6:23 pmthis is really helpful, thankyou

Jane AppletonFebruary 27, 2017 at 7:34 amI would just like to say what a great resource this is and to thank you very much for doing it.

Tariq MahmoodMarch 4, 2017 at 10:23 amVery helpful indeed. Saved me loads of time. Thank you.

M ParekhMarch 8, 2017 at 7:59 amThank you Mel for all the efforts you are putting in. It has been a great help.

Oliver LeyfieldMarch 9, 2017 at 8:51 amI luv your site I use just maths everyday I just wany mooooooore just maths #lovejustrmaths

DanMarch 9, 2017 at 8:52 amTHIS IS AMAZING

Emily CromptonMarch 9, 2017 at 9:00 amThis site makes me explode with “excitement” every time

Kelly GeorgeMarch 9, 2017 at 9:02 amI love your site almost as much as my ‘nearly’ bf Toby H

B SteenMarch 18, 2017 at 12:00 pmThanks for this. A wonderful resource. I thought I should let you know that your answer to 17b of the Congruence and Similarity worksheet is incorrect, and the actual answer should be ‘Between 1 and 2’.

JustMathsMelMarch 18, 2017 at 5:41 pmThanks for pointing that out … I’ve replaced the solutions with my own now. I crowd sourced the solutions originally as I just couldn’t get them all done quick enough

JoMarch 21, 2017 at 11:58 amThank you so much – a brilliant resource.

Stephanie L MartinApril 3, 2017 at 10:23 amHey, thanks so much,i think the trigonometry q’s and answers don’t quite match up 😓😓

I don't know you, you don't know meApril 4, 2017 at 10:16 amOh m this is absolutely useful I would recommend it to anyoneeeeeeeeeeee

HusainApril 5, 2017 at 8:13 pmThese are so helpful to understand and solve exam type questions, thank you so much. This is probably the best way to revise for exams.

NicolaApril 5, 2017 at 8:41 pmAmazing resource, thanks 🙂

On Q2 of direct/indirect proportion you’ve subbed in 5 for both h and u instead of 10 for u. Is this a mistake or am I going mad?

JustMathsMelApril 6, 2017 at 12:44 amHiya – should be updated now. Thanks for pointing it out. Mel

AApril 9, 2017 at 11:32 pmThis a great resource so thanks to the person who created this. Just wanted to ask if some topics that have been left off like completing the square or sine/cosine rule will appear soon…

DebApril 16, 2017 at 5:36 pmFantastic resource.i will use these questions with my students 🙂

MApril 23, 2017 at 10:23 amSorry is there any solution to the surds questions?

JustMathsMelApril 23, 2017 at 10:59 amYes there are .. underneath the worksheet .. unless I’m being dim (which is likely!) Mel x

MApril 23, 2017 at 11:19 amNo when I click on the solution it has no answers on it.

JustMathsMelApril 24, 2017 at 12:35 amshould be there now