Twenty short non-calculator questions, designed to be done in five minutes at the start of a lesson or during form time. A free self-marking version of this, with a new set generated every morning and a streak for pupils who keep it up, is at eclassroom.org.uk/free-maths-starters Each paper follows the same three-part structure, so pupils know what is coming: Mental strategies (8 questions) — the four operations, negative numbers, place value, order of operations, decimals, money, number bonds, sequences and time intervals Number facts (6 questions) — times tables, squares and roots, cubes, factors, primes, multiples, HCF and LCM Key skills (6 questions) — standard form, index laws, reverse percentages, compound interest, expanding double brackets, finding the nth term, gradients and intercepts, and at Year 11 negative and fractional indices, surds and upper and lower bounds Every question is written to be answered mentally or on paper. Percentages resolve to whole numbers and no question needs an awkward division, so the skill being practised is the one pupils need in a non-calculator exam. Included: question papers, one side of A4 each, with a name and score line full mark schemes with method notes These are original questions written for eClassroom, not reproduced past paper questions.

Twenty short non-calculator questions, designed to be done in five minutes at the start of a lesson or during form time. A free self-marking version of this, with a new set generated every morning and a streak for pupils who keep it up, is at eclassroom.org.uk/free-maths-starters Each paper follows the same three-part structure, so pupils know what is coming: Mental strategies (8 questions) — the four operations, negative numbers, place value, order of operations, decimals, money, number bonds, sequences and time intervals Number facts (6 questions) — times tables, squares and roots, cubes, factors, primes, multiples, HCF and LCM Key skills (6 questions) — the step up towards GCSE: percentage change, simple interest, three-part ratio, ratio as a fraction, factorising, area of a trapezium, circles, Pythagoras, speed and estimation, alongside the KS3 core of fractions, percentages, ratio and algebra Every question is written to be answered mentally or on paper. Percentages resolve to whole numbers and no question needs an awkward division, so the skill being practised is the one pupils need in a non-calculator exam. Included: question papers, one side of A4 each, with a name and score line full mark schemes with method notes These are original questions written for eClassroom, not reproduced past paper questions.

An integration worksheet for Edexcel IAL Pure 1 (WMA11): indefinite and definite integrals, finding functions, and areas under curves, with full worked solutions. This worksheet covers the whole of Chapter 9 (Integration) of the Pearson Edexcel International A Level Pure Mathematics 1 course, from routine integration through to the area problems that close the WMA11 paper. What’s covered Integrating x to the power n, including negative and fractional powers Indefinite integrals and the constant of integration Finding f(x) given f’(x) and a point on the curve Definite integrals Areas under curves Areas below the x-axis, and areas between a curve and a line How to use it Suitable as homework, as in-class practice, or as revision. The area questions escalate genuinely rather than repeating the same shape with different numbers: later parts introduce a region split by an intersection, a region below the axis, and an exact-value answer. What’s included Question paper (PDF, printable, with diagrams) Full worked solutions (PDF) — complete method, not just final answers Questions arranged in increasing difficulty Specification Written for Edexcel International A Level Mathematics, Pure Mathematics 1 (WMA11), Chapter 9. Also suitable for Edexcel A Level Mathematics 9MA0 and AS Mathematics 8MA0, and for any A Level course covering introductory integration.

Twenty short non-calculator questions, designed to be done in five minutes at the start of a lesson or during form time. A free self-marking version of this, with a new set generated every morning and a streak for pupils who keep it up, is at eclassroom.org.uk/free-maths-starters Each paper follows the same three-part structure, so pupils know what is coming: Mental strategies (8 questions) — the four operations, negative numbers, place value, order of operations, decimals, money, number bonds, sequences and time intervals Number facts (6 questions) — times tables, squares and roots, cubes, factors, primes, multiples, HCF and LCM Key skills (6 questions) — fractions, percentages, ratio, rounding, substitution, solving equations, area and perimeter, averages, unit conversion, probability and angles Every question is written to be answered mentally or on paper. Percentages resolve to whole numbers and no question needs an awkward division, so the skill being practised is the one pupils need in a non-calculator exam. Included: question papers, one side of A4 each, with a name and score line full mark schemes with method notes Fully interactive version These are original questions written for eClassroom, not reproduced past paper questions.

An equations and inequalities worksheet for Edexcel IAL Pure 1 (WMA11): simultaneous equations, linear and quadratic inequalities, with full worked solutions. This worksheet covers the whole of Chapter 3 (Equations and Inequalities) of the Pearson Edexcel International A Level Pure Mathematics 1 course, including the graphical interpretation that WMA11 questions frequently ask students to link back to. What’s covered Linear simultaneous equations by elimination and substitution Simultaneous equations with one linear and one quadratic equation Simultaneous equations interpreted graphically, including conditions for intersection Solving linear inequalities Solving quadratic inequalities, with sketch-based reasoning Inequalities represented on graphs Regions defined by inequalities How to use it Suitable as homework, as consolidation across a short sequence of lessons, or as revision. The quadratic inequalities section is the one worth spending class time on: students who solve these by rearranging without sketching lose marks reliably, and the solutions model the sketch method throughout. What’s included Question paper (PDF, printable) Full worked solutions (PDF) — complete method, not just final answers Questions arranged in increasing difficulty Specification Written for Edexcel International A Level Mathematics, Pure Mathematics 1 (WMA11), Chapter 3. Also suitable for Edexcel A Level Mathematics 9MA0 and AS Mathematics 8MA0, and for any A Level course covering simultaneous equations and inequalities at AS.

A graphs and transformations worksheet for Edexcel IAL Pure 1 (WMA11): cubic, quartic and reciprocal graphs, translations and stretches, with full solutions. This worksheet covers the whole of Chapter 4 (Graphs and Transformations) of the Pearson Edexcel International A Level Pure Mathematics 1 course, combining curve sketching with the function-transformation notation that WMA11 examines directly. What’s covered Sketching cubic graphs from factorised form, including repeated roots Sketching quartic graphs Reciprocal graphs and their asymptotes Points of intersection and solving equations graphically Translations: f(x + a) and f(x) + a Stretches: f(ax) and af(x) Transforming functions and describing transformations in words How to use it Works as homework or as in-class practice. Curve sketching is a topic where students often practise too few examples to build fluency, so the sheet deliberately includes a high volume of short sketching questions before moving to the harder combined-transformation work. Useful revision before AS mocks. What’s included Question paper (PDF, printable) Full worked solutions (PDF) — complete method, with sketches, not just final answers Questions arranged in increasing difficulty Specification Written for Edexcel International A Level Mathematics, Pure Mathematics 1 (WMA11), Chapter 4. Also suitable for Edexcel A Level Mathematics 9MA0 and AS Mathematics 8MA0, and for any A Level course covering graph transformations at AS.

A straight line graphs worksheet for Edexcel IAL Pure 1 (WMA11): y = mx + c, parallel and perpendicular lines, length and area, with full worked solutions. This worksheet covers the whole of Chapter 5 (Straight Line Graphs) of the Pearson Edexcel International A Level Pure Mathematics 1 course, including the coordinate-geometry problem solving that makes up a substantial part of the WMA11 paper. What’s covered The equation y = mx + c and the form ax + by + c = 0 Finding the equation of a line through two points, or through a point with a given gradient Parallel and perpendicular gradients Length of a line segment and midpoints Area of shapes formed by lines and axes Multi-step coordinate geometry problems combining several of the above How to use it Suitable as homework, as consolidation over several lessons, or as revision. The later questions are structured like exam questions, with linked parts where a result found in part (a) is needed in part (b), which is how this topic almost always appears on WMA11. What’s included Question paper (PDF, printable) Full worked solutions (PDF) — complete method, not just final answers Questions arranged in increasing difficulty Specification Written for Edexcel International A Level Mathematics, Pure Mathematics 1 (WMA11), Chapter 5. Also suitable for Edexcel A Level Mathematics 9MA0 and AS Mathematics 8MA0, and for any A Level course covering coordinate geometry at AS.

A trigonometry worksheet for Edexcel IAL Pure 1 (WMA11): sine rule, cosine rule, area of a triangle and trig graphs, with full worked solutions. This worksheet covers the whole of Chapter 6 (Trigonometric Ratios) of the Pearson Edexcel International A Level Pure Mathematics 1 course, from triangle work through to the graph transformations that WMA11 combines with Chapter 4 material. What’s covered The cosine rule, including finding an unknown angle The sine rule, including the ambiguous case Area of a triangle using ½ab sin C Solving problems involving triangles, including 3D and bearings contexts Graphs of sine, cosine and tangent Transforming trigonometric graphs How to use it Works as homework, as in-class practice, or as revision. Diagram-based questions are included throughout rather than saved for the end, since that is how the topic is examined — students need practice extracting a triangle from a described situation, not just applying a rule to a labelled diagram. What’s included Question paper (PDF, printable, with diagrams) Full worked solutions (PDF) — complete method, not just final answers Questions arranged in increasing difficulty Specification Written for Edexcel International A Level Mathematics, Pure Mathematics 1 (WMA11), Chapter 6. Also suitable for Edexcel A Level Mathematics 9MA0 and AS Mathematics 8MA0, and for any A Level course covering the sine and cosine rules at AS.

A differentiation worksheet for Edexcel IAL Pure 1 (WMA11): differentiating from first principles and by rule, tangents, normals and second derivatives, with full solutions. This worksheet covers the whole of Chapter 8 (Differentiation) of the Pearson Edexcel International A Level Pure Mathematics 1 course, including the fractional and negative index work that reliably appears as question 1 on WMA11. What’s covered Gradients of curves and the derivative as a limit Differentiating x to the power n, including negative and fractional powers Differentiating functions with two or more terms, after expanding or dividing through Equations of tangents and normals Second order derivatives Applications: rates of change, increasing and decreasing functions How to use it Works as homework, as practice across a sequence of lessons, or as revision. A deliberate proportion of the questions require rewriting an expression into index form before differentiating, since that step — not the differentiation itself — is where most marks are lost on this chapter. What’s included Question paper (PDF, printable) Full worked solutions (PDF) — complete method, not just final answers Questions arranged in increasing difficulty Specification Written for Edexcel International A Level Mathematics, Pure Mathematics 1 (WMA11), Chapter 8. Also suitable for Edexcel A Level Mathematics 9MA0 and AS Mathematics 8MA0, and for any A Level course covering introductory differentiation.

A radians worksheet for Edexcel IAL Pure 1 (WMA11): radian measure, arc length, and areas of sectors and segments, with full worked solutions. This worksheet covers the whole of Chapter 7 (Radians) of the Pearson Edexcel International A Level Pure Mathematics 1 course, including the exact-value and segment-area problems that WMA11 uses as multi-mark questions. What’s covered Converting between degrees and radians Exact values of trigonometric ratios in radians Arc length using s = rθ Area of a sector using ½r²θ Area of a segment Multi-step problems combining sectors, segments and triangles, with answers left in exact form How to use it Suitable as homework, as consolidation, or as revision before an assessment. Answers in terms of π are required throughout the later questions, since leaving a decimal where an exact value is asked for is one of the most common mark losses on this topic. What’s included Question paper (PDF, printable, with diagrams) Full worked solutions (PDF) — complete method, not just final answers Questions arranged in increasing difficulty Specification Written for Edexcel International A Level Mathematics, Pure Mathematics 1 (WMA11), Chapter 7. Also suitable for Edexcel A Level Mathematics 9MA0 and AS Mathematics 8MA0, and for any A Level course covering radian measure at AS.

A quadratics worksheet for Edexcel IAL Pure 1 (WMA11): solving, completing the square, the discriminant and quadratic graphs, with full worked solutions. This worksheet covers the whole of Chapter 2 (Quadratics) of the Pearson Edexcel International A Level Pure Mathematics 1 course, taking students from routine solving through to the discriminant conditions that appear as “show that” and “find the range of values of k” questions on WMA11. What’s covered Solving quadratic equations by factorising and by formula Completing the square, including a coefficient of x² greater than 1 Sketching quadratic graphs: roots, intercepts and turning points The discriminant and the number of real roots Finding values of k for which an equation has equal, distinct or no real roots Quadratic functions and quadratics in disguise Modelling with quadratics How to use it Works as homework, as in-class practice across two or three lessons, or as revision before an assessment. The discriminant section is deliberately weighted, since it is the part of this chapter students most often lose marks on and the part that recurs throughout Pure 1 and Pure 2. What’s included Question paper (PDF, printable) Full worked solutions (PDF) — complete method, not just final answers Questions arranged in increasing difficulty

An indices and surds worksheet for Edexcel IAL Pure 1 (WMA11): index laws, expanding, factorising and rationalising denominators, with full worked solutions. This worksheet covers the whole of Chapter 1 (Algebraic Expressions) of the Pearson Edexcel International A Level Pure Mathematics 1 course. It builds from fluency in the basic index laws through to the exam-style surd manipulation that regularly opens the WMA11 paper. What’s covered Index laws: multiplying, dividing and raising a power to a power Expanding brackets, including products of three brackets Factorising quadratics, difference of two squares and common factors Negative and fractional indices Simplifying surds and surd arithmetic Rationalising the denominator, including denominators of the form a + b√c How to use it Designed to work as homework, in-class consolidation, or a diagnostic at the start of the IAL year. It is also a strong bridging task for students arriving from GCSE or International GCSE, since it starts from skills they have already met and extends them into A Level territory. Later questions are written in exam style, so it doubles as revision before mocks. What’s included Question paper (PDF, printable) Full worked solutions (PDF) — complete method, not just final answers Questions arranged in increasing difficulty Specification Written for Edexcel International A Level Mathematics, Pure Mathematics 1 (WMA11), Chapter 1. Also suitable for Edexcel A Level Mathematics 9MA0 and AS Mathematics 8MA0, and for any A Level or IB course covering indices and surds.