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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Multiples Grid

There is a clue in the title of the problem!

You may like to investigate this spreadsheet which shades the numbers on the $100$ square. The pictures have been taken from this spreadsheet. Can you see what is happening?

Are there some answers which you can rule out straight away in each case?

How will you know you have all the solutions for each grid?

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### Chocolate

### Four Triangles Puzzle

### Cut it Out

Links to the University of Cambridge website
Links to the NRICH website Home page

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Age 7 to 11

Challenge Level

- Problem
- Getting Started
- Student Solutions
- Teachers' Resources

There is a clue in the title of the problem!

You may like to investigate this spreadsheet which shades the numbers on the $100$ square. The pictures have been taken from this spreadsheet. Can you see what is happening?

Are there some answers which you can rule out straight away in each case?

How will you know you have all the solutions for each grid?

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?