Junior Maths Challenge-Style Algebra Puzzles: Unknowns and Simultaneous Equations

Twenty original Junior Maths Challenge-style algebra puzzles that turn word problems into equations and teach students to crack two unknowns with confidence. Section A has 16 multiple-choice questions (A to E) in the authentic JMC format, ramped from Easy to Standard to Challenging: balance puzzles, reversing number machines, forming expressions, coin and ticket problems, age puzzles, digit-reversal problems and shopping-list simultaneous equations. Section B has 4 written questions that build full simultaneous-equation technique: forming two equations from a story, proving a think-of-a-number trick with algebra, scaling equations to eliminate a variable, and a three-unknown cyclic system solved with one elegant addition. Every question has a fully worked solution with one step per line, an annotation on every line, a ‘Why this works’ insight explaining the key idea, and fast routes for beating the clock. Distractors are built from real slips, and the solutions show which slip leads to which wrong option. Includes an answer grid with a JMC-style marking scheme. Non-calculator throughout. Ideal for Year 7 and Year 8 students preparing for the Junior Mathematical Challenge, able KS3 students who need a bridge into simultaneous equations, and teachers running a maths club or extension set. Original UKMT-style practice written by an experienced tutor; not official UKMT material and not affiliated with or endorsed by the UK Mathematics Trust.