SAMUGCSE Mathematics

SAMU · GCSE Mathematics

Practice exam-style questions across sequences, algebra, geometry & trigonometry and probability. Toggle ALFI for strategic, mark-scheme-driven coaching and EDIE for warm, confidence-building support. Choose your target grade — 7 (A), 8 (A*) or 9 (A**) — and compare your working against a mark-scheme-aligned model solution.

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Sequences

Arithmetic and geometric sequences, nth term and sum formulae.

Coach

Target grade

Excellent (A*): full working with verification.

Quick formula reference

u_n = a + (n − 1)d (arithmetic)
u_n = a · r^(n − 1) (geometric)
x = (−b ± √(b² − 4ac)) / 2a
a² + b² = c² (Pythagoras)
P(A ∩ B) = P(A) · P(B|A)

Study tips · GCSE Mathematics

Rebuild the formula from a worked example before you memorise it.
After each question, redo the last two lines of working from memory to lock the method.
Keep a short 'errors log' — one line per past mistake and how to avoid it.
Time yourself: 1 mark ≈ 1.5 minutes on a calculator paper.

Official specification

DfE — GCSE Mathematics subject content & assessment objectives

Every model answer maps to a bullet in the DfE subject content.

Pop quiz · GCSE Mathematics

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Find4 marksTargeting Grade 8 Sequences

A geometric sequence has first term a = 3 and common ratio r = 2. Find the first 5 terms and the 10th term. (4 marks)

Your working

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ALFI — Strategist· Getting started

Target locked: a strong Grade 8 (A*). Plan before you write: identify the topic (sequence / quadratic / geometry / probability), choose the right formula, and define your variables clearly. For a strong Grade 8 (A*), show every line of working — examiners give method marks even if the final number slips.

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PresetsG8 · Sequences

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SAMU · GCSE Mathematics

A geometric sequence has first term a = 3 and common ratio r = 2. Find the first 5 terms and the 10th term. (4 marks)

Your working

ALFI — Strategist· Getting started

ALFI feedback chat

Grade 8 (A*) — Excellent — model solution