Can you use the numbers on the dice to reach your end of the number line before your partner beats you?

In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?

The picture shows a lighthouse and many underwater creatures. If you know the markings on the lighthouse are 1m apart, can you work out the distances between some of the different creatures?

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

Different combinations of the weights available allow you to make different totals. Which totals can you make?

The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?

In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?

Substitute -1, -2 or -3, into an algebraic expression and you'll get three results. Is it possible to tell in advance which of those three will be the largest ?

How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?

What does this number mean ? Which order of 1, 2, 3 and 4 makes the highest value ? Which makes the lowest ?

Take a few whole numbers away from a triangle number. If you know the mean of the remaining numbers can you find the triangle number and which numbers were removed?

In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.

Match the descriptions of physical processes to these differential equations.

Solve these differential equations to see how a minus sign can change the answer

The Year 4 Maths Group at Parklands Primary School worked hard on this problem and reasoned carefully.

We received some well-argued reasons why a reef knot might be stronger than a granny knot.

Two students found all of the odd ones out, and gave clear explanations of their reasoning. How many did you get right?

What was it like to learn maths at school in the Victorian period? We visited the British Schools Museum in Hitchin to find out.

How can we help students make sense of addition and subtraction of negative numbers?

This article -useful for teachers and learners - gives a short account of the history of negative numbers.

This Sudoku problem consists of a pair of linked standard Suduko puzzles each with some starting digits