Posts in UKMT
UKMT: Six-Digit Integers
UKMT: Six-Digit Integers

How many six-digit integers have an even number of even digits?

Read More
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
UKMT: Circle
UKMT: Circle

What is the largest number of dots that the circle can pass through?

Read More
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
UKMT: How Many Squares?
UKMT: How Many Squares?

How many squares of any size are there in this 8 x 8 grid?

Read More
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
UKMT : Alice & Charlotte
UKMT : Alice & Charlotte

In how many years time will Alice be twice as old as Charlotte will then be?

Read More
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
UKMT: Counters
UKMT: Counters

In how many different ways could I place the two counters?

Read More
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, tutoring, counters, identical, identical counters, row, column, main diagonal, diagonal, how many different ways Comment
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.

Read More
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?

Read More
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
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?

Read More
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
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.

Read More
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
Parallel (Simon Singh): Intermediate Maths Challenge - Patterns
Parallel (Simon Singh): Intermediate Maths Challenge - Patterns

The pattern 123451234512345... is continued to form a 2000-digit number. What is the sum of all 2000 digits?

  • 6000

  • 7500

  • 30,000

  • 60,000

  • 75,000

Read More
Education, Maths, Maths Challenge, Maths Problem Solving, Parallel, Puzzle For The Day, School, Simon Singh, 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, Parallel, Simon Singh, IMC, Intermediate Maths Challenge, patterns, 2000 digit numberComment
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?

Read More
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.

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