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L-ateral Thinking

Age 5 to 11 Challenge Level:

Try this interactive strategy game for 2

L-emental

Age 11 to 14 Short Challenge Level:

Weekly Problem 28 - 2006
What can you say about the rectangles that form this L-shape?

L-triominoes

Age 14 to 16 Challenge Level:

L triominoes can fit together to make larger versions of themselves. Is every size possible to make in this way?

Age 14 to 16 Challenge Level:

A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?

Age 5 to 11 Challenge Level:

Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

Age 5 to 7 Challenge Level:

Some children were playing a game. Make a graph or picture to show how many ladybirds each child had.

Age 14 to 16 Short Challenge Level:

The ladybird squad members have an average of 12 spots each. How many spots does the pine ladybird have?

Age 5 to 7 Challenge Level:

In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?

Lafayette

Age 7 to 11 Challenge Level:

What mathematical words can be used to describe this floor covering? How many different shapes can you see inside this photograph?

Lahore 2015

Resources from Fran's CIE workshops in Pakistan

Lambs and Tigers

Age 11 to 14 Challenge Level:

Investigations based on an Indian game.

Lap Times

Age 14 to 16 Challenge Level:

Can you find the lap times of the two cyclists travelling at constant speeds?

Laps

Age 14 to 16 Short Challenge Level:

On which of the hare's laps will she first pass the tortoise?

Largest Even

Age 5 to 7 Challenge Level:

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

Largest Expression

Age 14 to 16 Short Challenge Level:

Which of these five algebraic expressions is largest, given $x$ is between 0 and 1?

Largest Number

Age 11 to 14 Challenge Level:

What is the largest number you can make using the three digits 2, 3 and 4 in any way you like, using any operations you like? You can only use each digit once.

Largest Product

Age 11 to 14 Challenge Level:

Which set of numbers that add to 10 have the largest product?

Largest Product Poster

Largest Product

Age 5 to 11 Challenge Level:

Take turns to remove a bead from the string. Can you find a way to play so that you will always win?

Last Biscuit

Age 11 to 16 Challenge Level:

A game that demands a logical approach using systematic working to deduce a winning strategy

Last Digit

Age 11 to 14 Short Challenge Level:

What is the last digit in this calculation involving powers?

Last One Standing

Age 14 to 16 Challenge Level:

Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

Last-but-one

Age 14 to 16 Short Challenge Level:

What is the last-but-one digit of 99! ?

Lastly - Well

Age 11 to 14 Challenge Level:

What are the last two digits of 2^(2^2003)?

Late Again

Age 5 to 7 Challenge Level:

Moira is late for school. What is the shortest route she can take from the school gates to the entrance?

Late for Work

Age 14 to 16 Short Challenge Level:

What average speed should Ms Fanthorpe drive at to arrive at work on time?

Latin Multiplication

Age 11 to 14 Short Challenge Level:

Can you choose one number from each row and column in this grid to form the largest possibe product?

Latin Numbers

Age 14 to 16 Challenge Level:

Can you create a Latin Square from multiples of a six digit number?

Latin Squares

Age 11 to 18

A Latin square of order n is an array of n symbols in which each symbol occurs exactly once in each row and exactly once in each column.

Lattice Points

Age 16 to 18 Challenge Level:

Why are there only a few lattice points on a hyperbola and infinitely many on a parabola?

Lattice Points on a Line

Age 11 to 14 Short Challenge Level:

How many lattice points are there in the first quadrant that lie on the line 3x + 4y = 59 ?

Lawn Border

Age 5 to 11 Challenge Level:

If I use 12 green tiles to represent my lawn, how many different ways could I arrange them? How many border tiles would I need each time?

Lawnmower

Age 14 to 16 Challenge Level:

A kite shaped lawn consists of an equilateral triangle ABC of side 130 feet and an isosceles triangle BCD in which BD and CD are of length 169 feet. A gardener has a motor mower which cuts strips of. . . .

LCM Sudoku

Age 14 to 16 Challenge Level:

Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.

LCM Sudoku II

Age 11 to 18 Challenge Level:

You are given the Lowest Common Multiples of sets of digits. Find the digits and then solve the Sudoku.

Leaning Over

Age 11 to 14 Short Challenge Level:

Weekly Problem 31 - 2017
The triangle HIJ has the same area as the square FGHI. What is the distance from J to the line extended through F and G?

Leap Frog

Age 5 to 7 Challenge Level:

The brown frog and green frog want to swap places without getting wet. They can hop onto a lily pad next to them, or hop over each other. How could they do it?

Leap Monday

Age 11 to 14 Short Challenge Level:

Can you find the next time that the 29th of February will fall on a Monday?

Age 11 to 18

We are used to writing numbers in base ten, using 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Eg. 75 means 7 tens and five units. This article explains how numbers can be written in any number base.

Learning from Other People's Starting Points

Age 7 to 11

In this feature, you can see how some children started each task. This isn't because we want to give away the solutions!

Learning from Other People's Starting Points

Age 5 to 7

In this feature, you can see how some children started each task, but this isn't because we want to give away the solutions!

Learning Mathematics Through Games Series: 1. Why Games?

Age 5 to 14

This article supplies teachers with information that may be useful in better understanding the nature of games and their role in teaching and learning mathematics.

Learning Mathematics Through Games Series: 2.types of Games

Age 5 to 14

This article, the second in the series, looks at some different types of games and the sort of mathematical thinking they can develop.

Learning Mathematics Through Games Series: 4. from Strategy Games

Age 5 to 14

Basic strategy games are particularly suitable as starting points for investigations. Players instinctively try to discover a winning strategy, and usually the best way to do this is to analyse. . . .

Learning Mathematics Through Games: 3. Creating Your Own Games

Age 5 to 7

Not all of us a bursting with creative game ideas, but there are several ways to go about creating a game that will assist even the busiest and most reluctant game designer.

Learning Probability Through Mathematical Modelling

Age 11 to 16

Moving from the particular to the general, then revisiting the particular in that light, and so generalising further.

Learning Times Tables

Age 5 to 11 Challenge Level:

In November, Liz was interviewed for an article on a parents' website about learning times tables. Read the article here.

Least of All

Age 16 to 18 Challenge Level:

A point moves on a line segment. A function depends on the position of the point. Where do you expect the point to be for a minimum of this function to occur.

Leftovers

Age 14 to 16 Short Challenge Level:

Weekly Problem 26 - 2008
If $n$ is a positive integer, how many different values for the remainder are obtained when $n^2$ is divided by $n+4$?