Working systematically

Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?

It is possible to identify a particular card out of a pack of 15 with the use of some mathematical reasoning. What is this reasoning and can it be applied to other numbers of cards?

Can you find the value of t in these equations?

At how many times between 10 and 11 o'clock are all six digits on a digital clock different?

If the odd numbers on two dice are made negative, which of the totals cannot be achieved?

Can you help the children find the two triangles which have the lengths of two sides numerically equal to their areas?

George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?

How many routes are there in this diagram from S to T?

Use these head, body and leg pieces to make Robot Monsters which are different heights.