Primary Live Problems

Each time you visit the NRICH site there will be some activities which are 'live'. That means we are inviting you and your students to send us solutions and we will publish a selection of them, along with your students' names and school, in a few weeks' time. If you'd like to know more about what we're looking for, read this short article.

Start Cube Drillinglive

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Imagine a 3 by 3 by 3 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will have holes drilled through them?

Six Ten Totallive

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

This challenge combines addition, multiplication, perseverance and even proof.

Six Numbered Cubeslive

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

This task combines spatial awareness with addition and multiplication.

Display Boardslive

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Design an arrangement of display boards in the school hall which fits the requirements of different people.

The Dice Trainlive

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

This dice train has been made using specific rules. How many different trains can you make?

Cover the Traylive

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

These practical challenges are all about making a 'tray' and covering it with paper.

Ribbon Squareslive

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?

Stage 1 and 2 Toughnuts

Stage: 1 and 2

These Stage 1 and 2 problems haven't been solved yet. Why not take a look?