Worksheets, activities and lesson ideas for A Level and GCSE maths! I'm particularly interested in creating challenging materials to enrich the curriculum. I have been an A Level maths teacher in London for 12 years and my aim is to share resources I use in my own classrooms.
Worksheets, activities and lesson ideas for A Level and GCSE maths! I'm particularly interested in creating challenging materials to enrich the curriculum. I have been an A Level maths teacher in London for 12 years and my aim is to share resources I use in my own classrooms.
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 :)