### Shapes in a Grid

Can you find which shapes you need to put into the grid to make the totals at the end of each row and the bottom of each column?

### Order, Order!

Can you place these quantities in order from smallest to largest?

### Order the Changes

Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?

# In Order

##### Stage: 2 Challenge Level:

Thank you to those of you who sent solutions to this problem.  Unfortunately, though, not many of you explained how you knew the order in which to put the quantities.

Katie from Hymers College Junior School took us through the first set of quantities:

First of all I am going to tackle the temperature question.
First you look at what to rank

*Of a kettle of boiling water

*Of the centre of the sun

*On a thermometer when you are quite well

*Of the water in a school pond

Then you think about the ones that you know the temperature.
So it is clear that the sun is the hottest. So now tick that off the list.
Then you think, well our school pond is quite deep and therefore quite cold. So compared to the rest of the list the pond is the coldest so now you can check that off the list.
Now you are left with the two middle answers. Everybody knows that water boils at $100^\circ$ and your body temperature is around $38^\circ$. From this research you now know that the kettle of boiling water is the second hottest. Now you can tick that off the list.
Finally you are left with the last one to tick off the list, the temperature of the thermometer when you are quite well.
So now they are all ticked off the list you can put them into their final order which is:
1. Of the centre of the sun.
2. Of a kettle of boiling water.
3. On a thermometer when you are quite well.
4. Of the school pond.

Katie then ordered the speed, time and sound quantities:

Speed:
1. Of a rocket going up on bonfire night
2. Of a train
3. Of a ball being thrown to your friend
4. Of a ladybird walking along a leaf

Time
1. Taken for frogspawn to grow into a frog
2. Taken for the moon to orbit the earth
3. Taken for a puddle of water to evaporate on a hot day
4. Taken to walk across the playground

Sound
1. Of a clap of thunder
2. Of a teacher blowing a whistle
3. Of a tap running
4. Of a recorder being played by a friend
The last one and the whistle depend on how hard they blow. For number 4, the friend is a controlled recorder player and for number 2, the teacher is having a bad day so is very loud.

Thank you, Katie.  I like the way you've given us more information about the sound quantities.  Someone from Ricards Lodge who didn't give their name, gave a different answer to the sound part of the problem:

For the sound category the loudest sound is a clap of thunder, then it's a teacher blowing a whistle, next it's your friend playing a recorder, and finally the quietest sound is a tap running.
To find this out I knew thunder would be the loudest.
Then I tested whether a recorder was louder than a tap, and it was, so then I tested whether a recorder was louder than a whistle, but it wasn't and that is how I got my order. Your results may be different depending on your equipment. But these are the results I got.

It's interesting that there is a differing opinion about these sound quantities.  However, it is great that Katie and the pupil from Ricards Lodge have both explained their own reasoning.  Well done!  I wonder what you think?