My favourite section: a selection of challenges and investigations to really stretch the brain! There are plenty of ‘how many ways...’ activities to encourage logical thinking and some nifty maths games to play.
How many ways can the balloons be coloured? A logical thinking exercise.
How many different ways can you score a total with two dice?
Use three dice to see how many different ways a score of 12 can be made.
Roll two dice and add the totals. Record and sort the results. What do you notice?
Buy shapes which are priced according to the number of sides.
Mini investigations into how many different ways totals can be made from three numbers.
Use any three numbers to make a sum and add it up. How many different ways can you do this?
A mini investigation for superbrains. How many ways can you make 100, just using the numbers and signs shown?
What possible scores could I get with four darts?
Sam's got a great aim but how many can he score with four beanbags?
Addition and subtraction related to the six digits shown.
Roll two dice and add the totals. Record and sort results.
Dominoes are a great resource for sorting. Try these ideas to begin with.
Using only the numbers 3 and 2 and the + and - signs, can all the numbers up to 20 be made?
Put the numbers in the boxes so that the total of the row across adds up to the same as the total of the column down. Several ways to do this, leading to further investigations.
Find as many ways as possible to complete the number sentence.
I've got three coins. They are all different. What possible totals could I have?
How many ways are there of eating a quarter of a bar of chocolate?
All the signs are missing. Find the correct signs to complete the number sentences.
Can you find 10 different ways of making 12 with 3 cards? (One card is zero, which makes it trickier!)
Three very athletic runners sharing a 19 mile relay. They each run an odd number of miles. How could they do this?
Make and order 2-digit numbers from a selection of number cards.
How many presents could each of the three girls have got from a total of 20. They all got an even number of presents!
How long will it take to complete a page of addition, subtraction, multiplication and division questions?
How many counters can you place on the grid without getting 3 in a row?
3 dinosaurs laid some eggs. They laid 19 altogether. How many did they each lay?
An easy version of the game of Nim. Great for logical thinking and you can always win (if you know what you are doing!)
Find a route through the maze from IN to OUT adding the numbers as you go.
Three boxes and 20 buttons. How many different ways can the buttons be put in the boxes so that each box has an even number?
Create a number plate for the gorillas new car: but you can only use the digits 1, 2 or 3!
The very simplest forms of magic squares and some ideas on how to turn them into colour patterns.
Fill in the puzzle so that every row, column and diagonal contains the numbers 1 to 4.