Posts tagged UKMT
Parallel (Simon Singh): Congruent Rectangles
Parallel (Simon Singh): Congruent Rectangles

This is a UKMT JMC (Junior Maths Challenge) question. I’ve been using it with my students, who applied to St Paul’s Girls’ School, in the recent 11+ entrance exams.

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Education, Maths, Maths Challenge, Maths Problem Solving, Puzzle For The Day, School, Word Problems, UKMT, Simon SinghSarah NorrisLando EducationAoPS, Art of Problem Solving, maths problem of the day, maths, Maths challnege, maths puzzles, mathematical puzzles, maths homework, mathematics, maths challenge, UK Maths Trust, school, UKMT, UKMT JMC, UKMT IMC, UKMT SMT, UKMT Olympiad, Olympiad, maths olympiad, maths training, Lando, Lando Education, tutoring, SPGS, St Paul's Girls' School, 11+, 11+ entrance exams, JMC, Junior Maths Challenge, Simon Singh, ParallelComment
UKMT: Ladder
UKMT: Ladder

What is the shape of the path that the snail traces out as the ladder falls?

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Education, Maths, Maths Challenge, Maths Problem Solving, Puzzle For The Day, School, Word Problems, UKMTSarah NorrisLando EducationAoPS, Art of Problem Solving, maths problem of the day, maths, Maths challnege, maths puzzles, mathematical puzzles, maths homework, mathematics, maths challenge, UK Maths Trust, school, UKMT, UKMT JMC, UKMT IMC, UKMT SMT, UKMT Olympiad, Olympiad, maths olympiad, maths training, Lando, Lando Education, tutoringComment
AoPS: A Flip Side
AoPS: A Flip Side

Every card in this deck has a number on one side and a letter on the other. The same number can appear on more than one card.

Euna places four of these cards in a row, then flips over some (maybe all) of the cards and mixes them up. The before and after state is pictured below. What number is on the other side of the A?

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Education, Maths, Maths Challenge, Maths Problem Solving, Puzzle For The Day, School, Word Problems, Art of Problem SolvingSarah NorrisLando EducationAoPS, Art of Problem Solving, maths problem of the day, maths, Maths challnege, maths puzzles, mathematical puzzles, maths homework, mathematics, maths challenge, UK Maths Trust, school, UKMT, UKMT JMC, UKMT IMC, UKMT SMT, UKMT Olympiad, Olympiad, maths olympiad, maths training, Lando, Lando Education, tutoringComment
IMA (The Institute of Mathematics and its Applications): Three Gamblers
IMA (The Institute of Mathematics and its Applications): Three Gamblers

Is A, B or C the speaker?

@IMAmaths

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Education, Maths, Maths Challenge, Maths Problem Solving, Puzzle For The Day, School, Word Problems, IMA, The Institute of MathematicsSarah NorrisLando EducationAoPS, Art of Problem Solving, maths problem of the day, maths, Maths challnege, maths puzzles, mathematical puzzles, maths homework, mathematics, maths challenge, UK Maths Trust, school, UKMT, UKMT JMC, UKMT IMC, UKMT SMT, UKMT Olympiad, Olympiad, maths olympiad, maths training, Lando, Lando Education, tutoring, The Institute of Mathematics and its Applications, IMAComment
UKMT : April, May and June
UKMT : April, May and June

Can you help solve how much money April, May and June began with, before sharing equally?

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Education, Maths, Maths Challenge, Maths Problem Solving, Puzzle For The Day, School, Word Problems, UKMTSarah NorrisLando EducationAoPS, Art of Problem Solving, maths problem of the day, maths, Maths challnege, maths puzzles, mathematical puzzles, maths homework, mathematics, maths challenge, UK Maths Trust, school, UKMT, UKMT JMC, UKMT IMC, UKMT SMT, UKMT Olympiad, Olympiad, maths olympiad, maths training, Lando, Lando Education, tutoringComment
AoPS: Jewellery Design
AoPS: Jewellery Design

10 silver beads and 10 gold beads are arranged randomly on a necklace.

Is it always possible to make one straight line cut that divides the necklace into two pieces that each have 5 silver and 5 gold beads?

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AoPS, Art of Problem Solving, Education, Maths, Maths Challenge, Maths Problem Solving, Puzzle For The Day, School, Word ProblemsSarah NorrisLando EducationAoPS, Art of Problem Solving, maths problem of the day, maths, Maths challnege, maths puzzles, mathematical puzzles, maths homework, mathematics, maths challenge, UK Maths Trust, school, UKMT, UKMT JMC, UKMT IMC, UKMT SMT, UKMT Olympiad, Olympiad, maths olympiad, maths training, Lando, Lando Education, tutoringComment
Year 8 Maths Homework: Find The Radius
Year 8 Maths Homework: Find The Radius

Could you solve this? My year 8 daughter’s homework from last weekend. I did point her in the right direction and then she finished it off. She was very happy as she worked out how to solve it.

Last night, she asked if she could work on really hard maths over half term, to help her find maths at school easy and also to have fun (apparently). I’ve pulled out UKMT’s Intermediate Problems by Andrew Jobbings (years 9-11 Intermediate Maths Challenge questions) and a pile of Art of Problem Solving books.

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Art of Problem Solving, AoPS, Education, Maths, Maths Challenge, Maths Problem Solving, Puzzle For The Day, School, UKMTSarah NorrisLando Education Lando Education, Lando, maths, maths problems, rectangle, radius, year 8, top set maths, mathiratti, UKMT, UK Maths Trust, homework, maths homework, Andrew Jobbings, Intermediate Problems, Intermediate Maths Challenge, Art of Problem Solving, AoPS, half termComment
UKMT (UK Mathematics Trust): [√ n]
UKMT (UK Mathematics Trust): [√ n]

The notation [√ n] means the integer part of the square root of n. How quickly can you solve?

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Education, Maths, Maths Challenge, Maths Problem Solving, Puzzle For The Day, School, UKMT, Word ProblemsSarah NorrisLando EducationLando, Lando Education, mathematics, maths, maths challenge, maths puzzles, maths problem of the day, m, matg, maths problems, mathematical puzzles, mathematical puzzle, Problem of the day, word problems, UKMT, UK Maths Trust, square root, √, notation, integarComment
UKMT: The Tower of Hanoi Maths Problem
UKMT: The Tower of Hanoi Maths Problem

UKMT volunteer Fraser Heywood kindly shared this video of his favourite mathematical puzzle with us. The Tower of Hanoi is a mathematical puzzle and a recursive algorithm, where the objective is to move an entire stack of disks from the source position to another position.

The three rules are:

- Only one disk can be moved at a time.

- A disk can only be moved if it is the uppermost disk on a stack.

- No larger disk may be placed on top of a smaller disk.

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UKMT, Word Problems, School, Maths Problem Solving, Maths, EducationSarah NorrisLando EducationUKMT, volunteer, Fraser Heywood, mathematical puzzle, Tower of Hanoi, recursive algorithm, algorithmComment