Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Satisfying Four Statements

## You may also like

### Chocolate

### Four Triangles Puzzle

### Cut it Out

Or search by topic

Age 7 to 11

Challenge Level

*Satisfying Four Statements printable sheet*

Ash, Si, Sami and Mani are playing a game.

Each of them writes down a statement that describes a set of numbers.

Ash writes, "Multiples of five."

Si writes, "Triangular numbers."

Sami writes, "Even, but not multiples of four."

Mani writes, "Multiples of three but not multiples of nine."

Can you find some two-digit numbers that belong in two of the sets?

Can you find some two-digit numbers that belong in three sets?

What is the smallest number that belongs in all four sets?

How could you describe the pattern of the numbers that satisfy both Ash's and Sami's statements?

How about the numbers that satisfy both Ash's and Mani's statements?

Can you describe patterns for other pairs of statements?

*You might now like to play the game Statement Snap and then have a go at Charlie's Delightful Machine.*

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?