This lesson develops finding the sum of natural number series. Students practise forming and manipulating sigma notation, identifying limits, and applying known summation results efficiently. Through progressively complex examples, they refine algebraic reasoning, justify each transformation, and strengthen exam technique.

The lesson builds from substitution to reasoning and application. In fluency, students practise substituting values and simplifying accurately. IProblem solving applies formulae in real contexts, interpreting and rearranging simple expressions to model relationships.

Weekly tutor-time maths that builds problem-solving: short, talk-first challenges for Years 7–11 with clear model solutions.

Discover how to teach problem solving with the area of circles through reasoning, sketching, and discussion — not just memorising formulas.

What does the 2025 Curriculum Review mean for secondary Maths? Key changes include a resequenced curriculum and a new Year 8 diagnostic test.

What does the 2025 Curriculum Review mean for secondary Maths? Key changes include a resequenced curriculum and a new Year 8 diagnostic test.

Work through 10 real exam-style GCSE Maths Grade 5 questions covering Ratio & Proportion Mean of Data Interpreting Linear Graphs Volume of Spheres & Hemispheres Probability Tables Money & Coin Value Ratios Speed, Distance & Time Density, Mass & Volume Algebraic Methods: Simultaneous Equations Please correct the marked field(s) below. Thank you for Signing Up Sign up to Mr Mathematics Newsletter…

Welcome back from the half-term break! As we head into a new term, many Year 11 students will be ramping up their preparation for mock exams. To support you and your classes, there are two flexible ways to access revision lessons to add to your schemes of work. 1) Revision by topic (past exam questions, organised by topic) Browse ready-to-use lessons built from past exam questions, grouped by topic to target specific gaps and misconceptions.

Students need to arrange a quadratic equation in the form ax2 + bx + c = 0 before solving by factorisation. Mastery questions involve algebraic fractions.

Britain wastes millions a day switching off wind turbines. See how much has been wasted today, and in 2025.

KS3 proportional reasoning with a complete lesson: starter, main, video tutorial, plenary & question generators. Includes exchange rates.

Fluency questions provide extra practice writing algebraic expressions from written descriptions. Mastery and Problem Solving questions require students to form expressions with multiple operations and apply to real-life situations. Scheme of Work Links Key Stage 3 GCSE Foundation

Fluency Students practise straightforward unit-rate calculations from given totals, reinforcing proportional reasoning. Mastery Tasks introduce varied contexts and unit changes, requiring multi-step proportional calculations. Problem solving Pupils optimise cost under quantity constraints, comparing pack options, balancing unit price with surplus, and justifying the cheapest solution.

Further Pure 1 exam question on finding the area formed by the locus of normal to an ellipse. Combines calculus, vectors and trigonometry.

Master hyperbolic functions: prove identities, express combinations as Rsinh(x+α), and solve equations using inverse functions. #FurtherMaths

Help Year 11 students prepare for mock exams with this Grade 9 revision lesson built from past exam questions.

Grades 8 & 9 Revision for Higher GCSE