These ‘Grade 9’ practice papers are designed to practice the highest end of the GCSE specification and stretch the most able students. These would be excellent practice for A Level students too and any mathematicians looking for some fun with algebra, geometry and problem solving. There are 3 papers - One non-calculator and 2 calculator papers and I have endeavored to include all elements of the specification within the 3 papers. Included in downloads are the full paper, a concise version to save on printing and full solutions. Paper 1 is a non-calculator paper and so numerical skills and arithmetic will be tested. The topics covered in Practice Paper 1 are: Factorising/solving quadratics Expanding 3 brackets Rules of indices - solving equations Solving linear simultanous equations Ratio Completing the square - solving equations and max/min points Surds -rationalising the denominator Coordinate geometry - straight lines, gradient, distance. Compound interest Sectors/Arc Lengths Surface area of a prism Area of a triangle - exact trigonometric values Quadratic sequences Probability - Tree diagrams Graph sketching - reciprocal and cubic equations Vectors Functions - inverse functions The topics covered in Practice Paper 2 are: Recurring decimals and fractions Quadratic inequalities Ratio - Areas of circles, squares and Pythagoras Cumulative frequency and estimation of mean Bounds Rules of indices and quadratic equations Proof of circle theorems Histograms Trigonometry - right-angle Algebraic fractions Trig graphs and transformations Bearings Trigonometry - cosine rule Proportion Construction of angles Probability - Venn diagrams and conditional probability Iterative sequences Quadratic simultaneous equations Tangent to a circle The topics covered in Practice Paper 3 are: Laws of indices Siolving quadratic equations - factoring in 3 ways Mean, Median, Mode and Range Forming and solving linear simultaneous equations Speed/distance/time - problem solving Rates Problem solving - solving quadratic equations Speed/time graphs Standard form - Estimation Composite Functions Surface Area and Ratio - Spheres and Cones Pythagoras - 3D Problem Solving - solving equations Regions, straight lines and inequalities Coordinate geometry of straight lines - area and intersections Angles in a polygon - problem solving Conditional probability Set notation These papers are brand new, hot off the press, with all questions written by myself (it was a big task!) so all feedback is extremely valuable and much appreciated so please review if you can :)

50 brand new exam style questions with solutions covering all areas of the spec. I’ve called on the common mistakes I have seen during my own teaching to create a resource to highlight those errors in which student often lose marks. 34 questions on Pure Maths, from key algebraic skills to integration. 8 Statistics questions, from standard deviation to hypothesis testing. 8 Mechanics questions, from SUVAT equations to pulley problems. PURE Algebra – Completing the square Algebra – Algebraic fractions Algebra – Indices Coordinate Geometry – Equation of a straight line Algebra – Quadratic simultaneous equations Algebraic Proof – Completing the square Algebra – Quadratic inequalities Algebra – Surds and rationalising the denominator Graph Sketching – Completing the square Algebra – Indices Algebra – Factor Theorem Coordinate Geometry - Circles Algebra – Discriminant Graph Sketching – Cubic equations Binomial expansion Trigonometry – Solving equations Differentiation – Rules of indices Logarithms – Solving equations Trigonometry – Solving equations Differentiation – Tangents & Normals Trigonometry – Sine rule (ambiguous case) Differentiation – First principles Integration – Particular solutions Binomial expansion Vectors Trigonometry – Cosine rule Exponential Equations – Modelling Graph Sketching – Reciprocal functions Differentiation – Stationary points Integration – Find areas Proof by deduction – Expanding brackets Exponential Equations – Solving, natural logs Differentiation – Optimisation Logarithms – Linearisation APPLIED Probability – Venn Diagrams Probability – Tree Diagrams Descriptive Statistics – Coding Descriptive Statistics – Linear interpolation Descriptive Statistics – Standard Deviation Probability – Binomial Distribution Hypothesis Testing – One-tailed Hypothesis Testing – Two-tailed Kinematics – SUVAT equations Kinematics – Velocity/time graphs Dynamics – F=ma and units Kinematics – Calculus Kinematics – Calculus Dynamics – Pulleys Dynamics – Lift problems Kinematics – SUVAT – 2 objects These questions are designed to highlight common misconceptions from the first year of the A Level Maths course. These could be used as starter or plenary questions, used to promote discussion or added in to homework and resource packs to mix things up! Feedback on this resource much appreciated :) I’ll get cracking on writing one for GCSE and A Level Maths year 2!

A simple idea to get students actively thinking about topics in the A level. Students change an aspect such as a coefficient of an equation to fulfill the task

Extension question for those confident with their indices skills. Combines with the linear simultaneous equations topic so some nice cross over! Solutions are at the bottom of the sheet and formatted so you can cut in half for a smaller handout :) Let me know if your students enjoy the task!

2 x predicted paper based on the advanced information provided by Edexcel. This follows the topic list but not an exhaustive selection so I would advise to find papers from other sources! These are taken from a selection of past papers, sample assessment materials and I’ve created some of the questions myself. Enjoy!

Pure Paper 1 and Mark-scheme. Compiled using a mixture of Edexcel past paper questions to fit with the topic list provided as part of the summer support materials.

A3 worksheet with 10 questions of increasing difficulty (with answers!) Students fill in the gaps to work out equations of lines, axes intercepts and areas of triangles enclosed by the lines and axes. First of a series of A3 worksheets for GCSE and A Level maths! Feedback much appreciated!

This worksheet contains 22 questions (100 marks) for a thorough study of the important algebraic topic ‘Completing the Square’. When thinking about what a good A Level worksheet should have I felt the resources I write should contain the following: -Progress from the basics to more advanced as you work through. -Contain modelling questions. -Contain problem solving questions. -Clear solutions for students to mark/check their own work. -Lots of algebra! This worksheet is the first I’ve written and my plan is to complete these for all of A Level Maths (and eventually Further Maths!). Any feedback is much appreciated and if you have suggestions for things I can add (or spot an error!) I’d love to hear from you :) Twitter: @HenchMaths

The probabilities of drawing different coloured beads out of a bag without replacing shown on tree diagrams. Useful for GCSE/AS probability. Adding macros is recommended to hide/show answers.

A fun resource which gets all the students actively rearranging linear (or more complex) equations

This worksheet is aimed at the higher end of the GCSE curriculum and useful for A Level students too. The task in part 1 requires students to fill in a table testing their knowledge of bases 2 and 3 and fractional/negative exponents. The second task is 3 exam style questions that test students’ knowledge of the rules of indices and how they can be applied to forming and solving equations. Please let me know if you enjoy the resource and if theres any other worksheets you’d like created :)

2 Activities for Discrete Random Variables in S1 1) Which competition would you enter? Ask the students to consider which competition they would enter and why? If they were selling the tickets, which would the say and why? A good starter for introducing DRV's. Can then calculate E(X) and Var(X) to check their ideas. 2) Design your own DRV exam style questions.

A selection of editable A3 calendars you can use to plan your exam revision in the busy months of May and June (2023) I have added GCSE and A Level Maths specific calendars with those exam dates and half-term included. Please double check these dates fit with your qualification. Enjoy and best of luck with your exams :)

Predicted applied paper based on the advanced information provided by Edexcel. This follows the topic list but not an exhaustive selection so I would advise to find and use resources from other sources! These are taken from a selection of past papers and sample assessment materials. Enjoy!

Predicted Pure Paper 2 for Edexcel A Level Maths. I’ve studied paper 1 and included topics not assessed thus far. This is just a prediction and there content can be assessed in a variety of ways to please use other sources but I hope this helpful to you. I have used Edexcel exam questions from past papers and mock assessments provided by Edexcel. All feedback appreciated :)

A second predicted paper using a different style of questions from the first I compiled last week - with mark-scheme This is just my best guess using previous Edexcel exam and mock questions but if you complete both papers it will give you a good coverage of topics not asssessed in paper 1. I hope this helps your revision and an any feedback much appreciated :)

Introducing the latest Hench Maths resource for A Level Mathematics: an engaging and comprehensive A3 worksheet on Arithmetic Series! Designed with student engagement in mind, this dynamic worksheet offers an interactive approach to mastering the concepts of arithmetic sequences. This fun-filled worksheet challenges students to fill in the missing elements to determine the nth term and sum of arithmetic sequences. With progressive difficulty levels, it encourages students to delve deeper into the topic, fostering critical thinking and problem-solving skills. What sets this resource apart is its unique backward-solving approach, providing a natural differentiation that caters to various learning levels. Perfect for teachers seeking innovative ways to enhance their classroom instruction, this worksheet is a valuable addition to any lesson plan. Best of all, it’s free to download, making it accessible to educators everywhere. Elevate your teaching and empower your students with our Arithmetic Series worksheet. Download it today and watch your students excel in A Level Mathematics!

A3 worksheet with 8 questions of increasing difficulty (with answers!) covering the trig topic of sectors, arcs, triangles and radians. -Area of sector -Arc length -Area of a triangle -Cosine rule -Definition of segment, chord, radius -Radians Students fill in the gaps to work out missing areas and lengths for sectors, triangles and segments. This worksheet is aimed at students studying A Level maths as a knowledge or radians is required. Brand new resource so feedback/reviews much appreciated.

I created this to using the specification for Edexcel A Level Maths to help students identify strengths and weaknesses in the pure side of the course. Note it is not massively detailed on all areas but it’s a good starting point!

This worksheet is designed to introduce students to the topic of binomial coefficients, combination, and binomial expansion. It is split into 4 tasks for the students to work through independently (with a partner is recommended) and by the end of the worksheet they should be able to discover the formula for binomial expansion. I’ve used this approach many times and it makes for a lovely lesson! Let me know what you think :)