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.
PPS – Please do not put these papers on your own website – I am still updating them as and when I find mistakes!
PROBABILITY 
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 – Vectors SOLUTIONS
Geometry H – Trigonometry 2-v2
Geometry – H – Trigonometry 2 v3 – SOLUTIONS v2
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
Number-H-Estimation-v2 – SOLUTIONS 2
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 V2
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
Number – H – Bidmas-Powers-Roots-v2 – SOLUTIONS
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-Currency-Unit-Conversion-v2 – SOLUTIONS
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 – Scatter Graphs – Solutions
Statistics – H – Sampling v2 – Solutions
Statistics – H – Histograms v2
Statistics H – Histograms v2 – SOLUTIONS
Statistics – H – Cumulative Frequency v2
Statistics – H – Cumulative Frequency v2 – SOLUTIONS
Statistics – H – Averages v2 – Solutions
Statistics H – Box Plots v2 – SOLUTIONS
This is really helpful. Is there the answers in a document at all?
That’s stage 2 … I’m working on it!
Thanks 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.
Thanks – these are brilliant! Just what we need.
Wow! Thank-you very much for collating this fantastic resource. It will be very helpful for me.
Amazing! Thank you so much for putting these together! I’ll certainly be using these in lessons.
Thank you. An excellent resource.
Can you put the answers to upper and lower bound up next please! thank you
Great resource!!
Is there a ZIP file with them all in to download them all at once? thank you so much quality resources to use
I’m afraid I don’t as I may be updating them on a regular basis.
OHMYDAYS 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.
Hey have you managed to get the answers yet ? As it would be great if i can check my answers.
It would be great if i can check my answers,have you managed to get the answers yet ?
Never mind you have put the soloutions up, thank you very much for creating this its extremely helpful.
These look incredible! Do you have all of the papers in a zip file or do they need to be downloaded separately?
I will make available as a zip file when the solutions are all done.
Great thanks!
Hi 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
Email them to me ?? Mel@justmaths.co.uk
On circle theorem H Q5 you take 180 from 83. I don’t understand that can you please explain?
SPQ = 83 ( 39+34) and so angle QRS has to be 180-83 = 97 (opposite angles in a cyclic quadrilateral add to 180)
The solutions for surds isn’t on here? http://2fv5d843v9w22sxtto1ibxtu.wpengine.netdna-cdn.com/wp-content/uploads/2015/12/Number-H-Surds-v2-SOLUTIONS.pdf
Anyone has the answers for the ratio and proportion questions?
not yet no … one of my jobs for the summer is to complete the solutions for the ones that are missing. Sorry!
Hi 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!
yes – good spot!!
I’ve updated now. Mel
Still 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?
Afraid not – that’s what I wish I’d added to them!! Hindsight is a wonderful thing. Mels
Thank you. Sharing this for free after spending a lot of time creating it is really selfless.
Hi 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
On 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.
Thanks for that I have replaced the solutions.
These 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
Excellent resource. Thank you. In question 4 of probability 2 you can write your first probability as 1/5 rather than a/5a.
Hi Mark – yes you are correct … I have updated to include this too.
Thanks 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?
Hi Rachel – yes you’re correct. I’ve updated the document. Thanks for the feedback. Mel
I’ve decided to knuckle down on revision for the next year, this is amazing
Mel, is it possible to have solution of Proportional Reasoning, please.
Mel, please could I have the solution of Proportional reasoning. Thank you so much.
I’ve just uploaded it. M
Hi Mel. Great work and very useful worksheets to work on . Have you got the solutions for speed time graph questions?
Amazing! This is so helpful and very useful.
Hi can you please write up the solutions for the volume of prism etc topic test please. Much appreciated thank you
done
algebra-coordinates, shouldn’t the y coordinate be -6 and not 6, someone answer asap
I’m not sure what question you are referring to. I’d need more information please mel@justmaths.co.uk
Happy 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.
Hi Dominic – yes you are correct. I’ve updated the solutions with my own. mel
IF 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
It is a right angled triangle
work sheet on completing the square???also sine and cosine graphs, reply asap
If 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.
MELLLL!!!! IS THERE A WORK SHEET ON FINDING ARC LENGTHS AND AREAS OF SECTORS!!!!
if 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.
whi 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
kinematics is not in the new GCSE. Proof of circle theorems in not new.
These questions are from the samples/specimen papers …
I’m sorry but I dont make the questions up … they are a collection of questions from the exam boards.
Hi. These are awesome!
Is there a ZIP file containing all of the documents I could download rather than each one manually?
Not 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
when 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
thanks for checking them for us!! now updated this one
Don’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 .
Hi
corrected version now added
Do 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.👌💯💯
Please can you add the answers for the surd worksheet because I’m not able to find them
They are underneath the worksheet
do you have videos?
Yes we do if your school has a subscription with us.
this is really helpful, thankyou
I would just like to say what a great resource this is and to thank you very much for doing it.
Very helpful indeed. Saved me loads of time. Thank you.
Thank you Mel for all the efforts you are putting in. It has been a great help.
I luv your site I use just maths everyday I just wany mooooooore just maths #lovejustrmaths
THIS IS AMAZING
This site makes me explode with “excitement” every time
I love your site almost as much as my ‘nearly’ bf Toby H
Thanks 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’.
Thanks 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
Thank you so much – a brilliant resource.
Hey, thanks so much,i think the trigonometry q’s and answers don’t quite match up 😓😓
Oh m this is absolutely useful I would recommend it to anyoneeeeeeeeeeee
These are so helpful to understand and solve exam type questions, thank you so much. This is probably the best way to revise for exams.
Amazing 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?
Hiya – should be updated now. Thanks for pointing it out. Mel
This 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…
Fantastic resource.i will use these questions with my students 🙂
Sorry is there any solution to the surds questions?
Yes there are .. underneath the worksheet .. unless I’m being dim (which is likely!) Mel x
No when I click on the solution it has no answers on it.
should be there now
Many thanks for sharing these useful resources. Much appreciated.
On volumes of prisms (cones, pyramids and spheres), question 5, I don’t think you should subtract the volume of the frustum from the volume of the overall cone? Especially seeing as you only need the volume of the frustum to multiply by 2.5? Please reply asap, thanks
The volume of the frustum is being calculated by subtracting the small cone from the large cone THEN once you have the volume of the frustum it be x 2.5
Amazing
An excellent resource, thanks.
Just a quick note though on the proportion and reasons higher level the question about rice cakes the answer is incorrect, the value 3.29 has only been multiplied by 7.22 not 7.22222222222( it’s a recurring decimal) this makes quite a big difference to the answer which should be 29.761 calories per rice cake
Cheers
ummm … it has been multiplied by 7.2 recurring … have checked the markscheme and the answer I’ve done is correct. 🙁
Absolutely amazing resource. I cannot believe, however, the awful manners of some people – DEMANDING answers ASAP without so much as a ‘please;!!
Thank you so much for all your fantastic work. 🙂
Thank you for sharing these, so useful!
Thank you
Thank you so much for these. They have been so useful for all of the year groups that I teach. Its so helpful of you to provide model answers too – my students know you all by name now!
hey
thanks
WOW This is absolutely fabulous!!
Great post.
fantastic. When are you going to do for foundation tier?
There are questions for the higher tier too!
really helpful
hi mel,
do you have any questions on proof of the circle theorems?
if do pls let me knom
Hiya, Afraid not … Sorry
Hello, on the Bidmas, powers and roots answers it says (2x)^2= 4x and so is not always greater than 2x. Surely it should be 4x^2? Which means that (2x)^2 is always greater than 2x?
good spot … correct solutions being updated now.
oh no we have the same name maybe we are twins, anyways love you twinny
does any one know how to cheat on an exam because I am defiantly not going to pass?
defiantly?? do you mean definitely?
Defiantly works too 😉
mel are you a real person
I am a very real person
who ever made maths is brill
Thank you so much for this resource! Its very helpful!
really helpful, thank you so much
Hi Mel,
On the Expand, simplify and expand worksheet the answer for the last question you wrote down is incorrect. Put down the answer as 5x/2 but when you square a fraction you square the top and bottom, therefore 5-root-x/2 is 5 squared = 25, times by root-x squared which is x so the top is 25x BUT for the bottom you put the answer over 10 but it should be 5x/2 because as I said you square both sides of a fraction e.g. if you type into a calculator 1/2 squared you get 1/4 because 1^2 is 1 and 2^2 is 4 therefore the overall answer is 5x/2
Hiya – I actually didn’t do those solutions but have now corrected them … thanks for pointing it out. Mel
Hi Mel
Do you have any new gcse 9-1 sample question and really hard worded fraction questions
Hi Gemma – I’ve tried to email you but its been bounced back to me as not a valid email address … I did try!!
Thanks for providing this.
Great Amazing
best way to practicse before exams
Hi
Mel
Is there anyway that you can create your own GCSE Mathematics Exam Papers by using the same style of questions from the specimen papers. This would be great revision for my students befe they sit their GCSE and I am teaching the Edexcel Exam Board to my students.
Have you got a log in for Exam Wizard … you can create papers using that.
Just an amazing resource, will be sharing with all my colleagues!
Hi, Thank you for this resource. Can you give me an idea of how long my son should take to complete these sheets please?
Many thanks
It really depends on the worksheets – some are longer than others . Best way to approach it is to set a certain amount of time and work to the time rather than a specific amount of work . Hope that helps. Mel
Thank you so much for all these resources!
If anyone wants the answers to ‘Geometry – H – Trigonometry v2’ (right-angled trigonometry) here are my solutions:
1) Height of tree = 29.97m
2) a) cos(50) = 0.64
b) x = 2.6cm
3) Angle x = 20.9°
4) Angle x = 80.9°
5) Distance AD = 48.2m
6) Angle BCA = 66.9°
7) Length x = 6cm
8) a) Angle x = 43.3°
b) Length y = 31cm
9) Length BD = 0.664m (to 3 sf)
10) Length CB = 33.8cm
11) a) tan(x) = ¾
b) Length y = 4.5cm
Amazing resources. Thank you so much 🙂
Is it possible for the new grades 9-1 to be put aside the titles?
unfortunately there is really no way to grade topics … its not something I buy into. I have written about this on several occasions. https://justmaths.co.uk/2015/09/09/new-gcse-9-1-topics-by-grade/
Do you update all these with questions that have come up recently in exam papers?
No i don’t … It was based purely on the samples/specs …
it is really hepful
Simply fantastic stuff
really helpful,thanks for providing all these resources.
Thank you for this wonderful resource really helped my 7 year old daughter.
This is amazing! Will definitely recommend to the other mums at school
this is cool mate
BIG Thank you!!!! what a fabulous compilation..Its a perfect resource for a parent like me who is not so great in math but was looking for something to help her son…Thank you once again.
Nerd is need papers like these nerd liking this worky
Excellent work! Thank you very much.
Beautiful, just beautiful xxxx
wow, these resources are absolute life savers – thank you!
These have been so useful for me! Thank you so so much! <3
is this for the new GCSE higher paper and do you also have stuff for the further math GCSE? thanks for the question say the way they help so much
MELLLLL THIS WEBSITEABSOLUTELY FANFLIPPINTASTIC THNKS SOOOOOOOOO MUCH FOR EVEYTHIN U DOOOOOOOOOOOOOOO 4 US. MATHS IS DAS BESTE
Fantastic so good website
THANKS SOOOO MUCH
AWESOME,HIGHLY APPRECIATED.LIFE SAVER
Thank you very much for these! Fantastic resource for me, a year 11 student – I use these all the time when I need practice on a specific topic. It’s so much easier than finding lots of individual ones. Much appreciated!! 🙂
absolutely brilliant resource thanks so much
Thank you very much for the great efforts and time!
Really appreciate the effort gone into this – it helps my students a lot.
Thank you so much, this has been great.
Awesome this has everything for my GCSEs
Wow! Finally I got a webpage from where I can really obtain useful
facts concerning my study and knowledge.
cool guys on this web lol uwu
thanks for this fabulous website
I LOVE THIS WEB
Thanks for all your hard work!
Very helpful questions. Good for improving maths
Great resources for my maths exams!
Great website, helps me teach my children!!
Thanks, this helps me teach my children very much; they seem to love it! 🙂