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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Routes 1 and 5

If you look at this grid you will see that when you move in different directions you add or subtract certain numbers. For example, moving one place to the right adds on one, moving up adds 5:

Find your way through the grid starting at 2 and following these operations:

What number do you end on?

Find another way using these starting and end numbers, and record it in a similar way to the one above.

How can you use what you have done to find the shortest path between these two numbers?

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Age 5 to 7

Challenge Level

If you look at this grid you will see that when you move in different directions you add or subtract certain numbers. For example, moving one place to the right adds on one, moving up adds 5:

Find your way through the grid starting at 2 and following these operations:

What number do you end on?

Find another way using these starting and end numbers, and record it in a similar way to the one above.

How can you use what you have done to find the shortest path between these two numbers?

Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?

Start with four numbers at the corners of a square and put the total of two corners in the middle of that side. Keep going... Can you estimate what the size of the last four numbers will be?