Year 6 Exploring and noticing

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

Amy's mum gave her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.

After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?

How do you know if your set of dominoes is complete?

This activity involves rounding four-digit numbers to the nearest thousand.

What happens when you round these three-digit numbers to the nearest 100?

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

Can you find the missing number(s)? The square is the average (mean) of the numbers surrounding it.

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

Can you fill in this table square? The numbers 2-12 were used to generate it with just one number used twice.

One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

The challenge for you is to make a string of six (or more!) graded cubes.

Can you find pairs of differently sized windows that cost the same?

There are lots of different methods to find out what the shapes are worth - how many can you find?

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Can you make doughnuts by matching these fractions, decimals and percentages?

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

Take three consecutive numbers and add them together. What do you notice?