## Events

NRICH: 1 Step 2 Step
NRICH (University of Cambridge)

Liam’s house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

NRICH: Partly Painted Cube
NRICH (University of Cambridge)

Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?

NRICH: Frogs
NRICH (University of Cambridge)

How many moves does it take to swap over some red and blue frogs? Do you have a method?

NRICH: Diagonals
NRICH (University of Cambridge)

How many diagonals does a regular icosagon (20 sides) have?

The Kennedy Center: Creating AB Patterns
The Kennedy Center

In this K-2 lesson, students will construct patterns using visual arts designs and math manipulatives.

NRICH: Picturing Triangular Numbers
NRICH (University of Cambridge)

Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?

NRICH: Double Trouble
NRICH (University of Cambridge)

The Kennedy Center: Mandalas, Polygons, and Symmetry
The Kennedy Center

In this 6-8 lesson, students will create mandalas using mathematical concepts and skills.

NRICH: Picturing Square Numbers
NRICH (University of Cambridge)

Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ….. + 149 + 151 + 153?

NRICH: Steel Cables
NRICH (University of Cambridge)

Some students have been working out the number of strands needed for different sizes of cable. Can you make sense of their solutions?

The Kennedy Center: How Many Cells Are Born in a Day?
The Kennedy Center

In this lesson, students use calculation to predict the number of cells that result from a series of cell divisions.

NRICH: Elevenses
NRICH (University of Cambridge)

How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?