Year 3 Working systematically

Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?

Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?

On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

In this game the winner is the first to make the total 37. Is this a fair game?

Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.

Mandeep's watch loses two minutes every hour. Adam's watch gains one minute every hour. Can you work out what time they arrived at the airport?

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?

Use your logical thinking skills to deduce how much Dan's crisps and ice cream cost altogether.

A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?

Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?

On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.