Posts tagged school
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
Art of Problem Solving (AoPS): True or False
Art of Problem Solving (AoPS): True or False

Each statement is either true or false. How many of the following statements are true?

1. The answers to statements 2 and 3 are different.

2. The answers to statements 3 and 4 are different.

3. The answers to statements 4 and 5 are different.

4. The answers to statements 5 and 6 are different.

5. The answers to statements 6 and 7 are different.

6. The answers to statements 7 and 8 are different.

7. The answers to statements 8 and 1 are the same.

8. The answers to statements 1 and 2 are the same.

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AoPS, Art of Problem Solving, Education, Maths, Maths Problem Solving, School, Word ProblemsSarah NorrisLando EducationLando Education, Lando, maths, AoPS, Art of Problem Solving, school, true or false, word problems, maths problemsComment