### Number Detective

Follow the clues to find the mystery number.

### Six Is the Sum

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?

### (w)holy Numbers

A church hymn book contains 700 hymns. The numbers of the hymns are displayed by combining special small single-digit boards. What is the minimum number of small boards that is needed?

# Which Scripts?

## Which Scripts?

There are six numbers written in five different scripts.

Can you sort out which is which?

Write $51$ in each script.

[Thank you to the SMILE Centre for permission to use this puzzle.]

### Why do this problem?

This problem consolidates understanding of place value in a demanding but intriguing context. In order to tackle the problem, learners will have to organise and sort the information given.

### Possible approach

Show the image of the numbers to the group and ask them to talk to a partner about what they notice. Gather some suggestions and explain what the image shows, if this has not already come up in discussion. Invite learners to suggest ways of beginning the problem and then set them off in pairs to work together, using this copy of the image and providing squared paper.

As they work, encourage them to develop a good way to record their findings.

In the plenary, it might be helpful for you to enlarge this sheet and cut out the numbers so they can be moved around on the board. (If these were laminated, they would make a useful set of cards to be used again.) You could invite pairs of children to explain how they reached their conclusions and recorded the results. This could lead into a discussion of the place value system (compared with, for example, Roman numerals).

### Key questions

Which numbers do you know?
Can you see any similarities between any of the numbers?
Which numbers are the 'shortest' and the 'longest'?

### Possible extension

You could encourage children to find out the name of each script.  You could also include Roman Numeral versions of the numbers:  XIII, II, LVIII, XXV, LXXXIII, C.  This sheet includes six cards which could be printed off to accompany the original numbers.

### Possible support

Some children may find it useful to cut out the individual numbers so they can be sorted more easily.

Below you can see some pictures of children at Lancasterian Primary School in Haringey working on this task: