1 out of 3
What happens to the area and volume of 2D and 3D shapes when you enlarge them?
2 out of 3
If you can copy a network without lifting your pen off the paper and without drawing any line twice, then it is traversable. Decide which of these diagrams are traversable.
1 out of 3
In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?
1 out of 3
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
1 out of 3
Here are two games you can play. Which offers the better chance of winning?
2 out of 3
Two ladders are propped up against facing walls. At what height do the ladders cross?
2 out of 3
An equilateral triangle rotates around regular polygons and produces an outline like a flower. What are the perimeters of the different flowers?
2 out of 3
If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?
2 out of 3
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
2 out of 3
Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?
2 out of 3
In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.
2 out of 3
What is special about the difference between squares of numbers adjacent to multiples of three?
2 out of 3
There are unexpected discoveries to be made about square numbers...
2 out of 3
What is the largest number which, when divided into these five numbers in turn, leaves the same remainder each time?
2 out of 3
Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.
2 out of 3
Can you find the area of a parallelogram defined by two vectors?
2 out of 3
The diagonals of a trapezium divide it into four parts. Can you create a trapezium where three of those parts are equal in area?
2 out of 3
Can you work out the probability of winning the Mathsland National Lottery?
1 out of 3
Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?
1 out of 3
The illustration shows the graphs of fifteen functions. Two of them have equations $y=x^2$ and $y=-(x-4)^2$. Find the equations of all the other graphs.
1 out of 3
Starting with two basic vector steps, which destinations can you reach on a vector walk?
1 out of 3
Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?
2 out of 3
What does this number mean? Which order of 1, 2, 3 and 4 makes the highest value? Which makes the lowest?
1 out of 3
Can you work out the equations of the trig graphs I used to make my pattern?
