Weekly Problem 11 - 2011

Kanga hops ten times in one of four directions. At how many different points can he end up?

Can you solve this 'KANGAROO' alphanumeric subtraction?

When Kate ate a giant date, the average weight of the dates decreased. What was the weight of the date that Kate ate?

Can you cross each of the seven bridges that join the north and south of the river to the two islands, once and once only, without retracing your steps?

Can all unit fractions be written as the sum of two unit fractions?

Can you mark 4 points on a flat surface so that there are only two different distances between them?

A look at a fluid mechanics technique called the Steady Flow Momentum Equation.

Simon Singh describes PKC, its origins, and why the science of code making and breaking is such a secret occupation.

The squares of this grid contain one of the letters P, Q, R and S. Can you complete this square so that touching squares do not contain the same letter? How many possibilities are there?

6: Introducing and developing STEM in the classroom.

On this page, you will find features linked to different aspects of the 2014 National Curriculum, including new curriculum content.

4: Introducing and developing STEM in the classroom.

Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.

Resources to support an intermediate module of kinematics (M2)

Resources to support an introductory module of kinematics (M1)

Resources to accompany Charlie's workshop at the King's Group Professional Development Weekend in Madrid.

Alf and Tracy explain how the Kingsfield School maths department use common tasks to encourage all students to think mathematically about key areas in the curriculum.

Two perpendicular lines are tangential to two identical circles that touch. What is the largest circle that can be placed in between the two lines and the two circles and how would you construct it?

Determine the total shaded area of the 'kissing triangles'.

Can you make sense of the three methods to work out the area of the kite in the square?

You have worked out a secret code with a friend. Every letter in the alphabet can be represented by a binary value.

The knight's move on a chess board is 2 steps in one direction and one step in the other direction. Prove that a knight cannot visit every square on the board once and only (a tour) on a 2 by n board. . . .

Swap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible?

Knights always tell the truth. Knaves always lie. Can you catch these knights and knaves out?

Can you swap the black knights with the white knights in the minimum number of moves?

Before a knockout tournament with 2^n players I pick two players. What is the probability that they have to play against each other at some point in the tournament?

Weekly Problem 51 - 2016

Pegs numbered 1 to 50 are placed in a row. Alternate pegs are knocked down, and this process is repeated. What is the number of the last peg to be knocked down?

Given these equations with unknown powers $x$ and $y$, can you work out $xy$?

Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.