problem
Favourite
Treasure Hunt
Age
7 to 14
Challenge level
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
problem
Favourite
The Number Jumbler
Age
7 to 14
Challenge level
The Number Jumbler can always work out your chosen symbol. Can you work out how?
problem
Favourite
Your number is...
Age
7 to 14
Challenge level
Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
problem
Favourite
Number Lines in Disguise
Age
7 to 14
Challenge level
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
problem
Favourite
Remainders
Age
7 to 14
Challenge level
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
problem
Favourite
Mixing Lemonade
Age
11 to 14
Challenge level
Can you work out which drink has the stronger flavour?
problem
Favourite
Perimeter Expressions
Age
11 to 14
Challenge level
Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?
problem
Favourite
Sieve of Eratosthenes
Age
11 to 14
Challenge level
Follow this recipe for sieving numbers and see what interesting patterns emerge.
problem
Favourite
Odds, Evens and More Evens
Age
11 to 14
Challenge level
Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...
problem
Favourite
Hidden Squares
Age
11 to 14
Challenge level
Can you find the squares hidden on these coordinate grids?
problem
Favourite
Add to 200
Age
11 to 14
Challenge level
By selecting digits for an addition grid, what targets can you make?
problem
Favourite
Fractions Rectangle
Age
11 to 14
Challenge level
The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?
problem
Favourite
Parallelogram It
Age
11 to 16
Challenge level
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.
problem
Favourite
Summing Consecutive Numbers
Age
11 to 14
Challenge level
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
problem
Favourite
Reflecting Squarely
Age
11 to 14
Challenge level
In how many ways can you fit all three pieces together to make
shapes with line symmetry?
problem
Favourite
Shady Symmetry
Age
11 to 14
Challenge level
How many different symmetrical shapes can you make by shading triangles or squares?
problem
Favourite
Picturing Square Numbers
Age
11 to 14
Challenge level
Square numbers can be represented as the sum of consecutive odd
numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?
problem
Favourite
Square It
Age
11 to 16
Challenge level
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
problem
Favourite
Odds and Evens
Age
11 to 14
Challenge level
Are these games fair? How can you tell?
problem
Favourite
Squares in rectangles
Age
11 to 14
Challenge level
A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle
contains 20 squares. What size rectangle(s) contain(s) exactly 100
squares? Can you find them all?
problem
Favourite
Searching for mean(ing)
Age
11 to 16
Challenge level
If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?
problem
Favourite
More Number Pyramids
Age
11 to 14
Challenge level
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
problem
Favourite
Shear Magic
Age
11 to 14
Challenge level
Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?
problem
Favourite
On the Edge
Age
11 to 14
Challenge level
If you move the tiles around, can you make squares with different coloured edges?