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!

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 :)