Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Making Shapes

I have three counters. I arrange them on a grid to make a rectangle like this:

## You may also like

### Biscuit Decorations

### Constant Counting

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

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

Or search by topic

Age 5 to 7

Challenge Level

I have three counters. I arrange them on a grid to make a rectangle like this:

I wonder if there are any other rectangles I could make with just three counters?

If I had six counters, I could make a rectangle like this:

Are there any other rectangles that I could make with six counters?

Imagine you have $18$ counters to put on a grid.

Arrange any number of counters on the grid to make a rectangle (not just its outline).

How many different rectangles can you make with each number of counters?

If I had six counters, I could make a rectangle like this:

Are there any other rectangles that I could make with six counters?

Imagine you have $18$ counters to put on a grid.

Arrange any number of counters on the grid to make a rectangle (not just its outline).

How many different rectangles can you make with each number of counters?

Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

You can make a calculator count for you by any number you choose. You can count by ones to reach 24. You can count by twos to reach 24. What else can you count by to reach 24?