Doughnut dilemma!

How can you cut a doughnut into eight equal pieces with only three cuts of a knife?

Fraction fun!

Using the fractions wall above:
1) How many different ways can you find of writing 12?

2) From the picture, what equivalent fractions for 13 can you find?

3) How else could you write 34?

 4) What other fractions do you know that are the same as 12?

 5) Find some other fractions which are equivalent to 34.

 6) Can you find any "rules" for working out equivalent fractions?

Clock confusion!

Sam and Julie are friends. Both of them have rather odd clocks at home.
In Sam's bedroom there is an old alarm clock which his Dad had thrown out because it had lost its minute hand. Although it has only its small hand, Sam can still tell the time using it. He can tell the hour, such as midday. He can tell when it is time to get up, time to go to school and time to turn his light out at night.
 

1. Which clock is showing it is midday? How do you know?
2. At what time does Sam get up? Which clock is this?
3. At what time does Sam go to school? Which clock is this?
4. At what time is Sam supposed to turn out his light? Which clock is this?

Reach 100!

Here is your challenge...

You must choose four different digits from 1−9 and put one in each box. For example:

 

This gives four two-digit numbers:

52	(reading along the 1st row)
19	(reading along the 2nd row)
51	(reading down the left hand column)
29	(reading down the right hand column)

In this case their sum is 151.

Your challenge is to find four different digits that give four two-digit numbers which add to a total of 100. Can you find 4 different numbers to put in the grid?

Think about:

Where could you start?

How do the four digits you choose contribute to the zero in the units column of 100?

That's torn it!

Miss Johnston cut out rectangles from one centimetre squared paper.

She then counted how many squares the shapes took up. After this she tore a piece out of some of their shapes to make a puzzle for you to solve.

Can you work out how many squares there were in these shapes before the bit was torn out? 

(The orange, blue, green and yellow shapes were rectangles. The bottom two shapes, which are pale orange and purple, were each two rectangles joined together.)

Multiplication muddles!

This week we have been learning our 9x table and answering tricky problems using our multiplication facts too! Can you help the Centurion achieve his mission?

 

1. The first part of the road needs to be 10 rows long, how many stones will you need?

2. You managed to build 100 rows in 1 day, how many stones did you use?

Challenge:

3. If you manage 100 rows a day for a whole week, how many stones do you use in total?

(Remember to number your answers so people know which question/s you are answering...)