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?

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?

Can you use the information to find out which cards I have used?

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

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

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

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?

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?

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!

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

Stuart's watch loses two minutes every hour. Adam's watch gains one minute every hour. Use the information to work out what time (the real time) they arrived at the airport.

Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

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.

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?

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

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?