problem
More Less is More
Age
7 to 14
Challenge level
In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.
problem
Consecutive Numbers
Age
7 to 14
Challenge level
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
problem
Dozens
Age
7 to 14
Challenge level
Can you select the missing digit(s) to find the largest multiple?
problem
Nice or Nasty
Age
7 to 14
Challenge level
There are nasty versions of this dice game but we'll start with the nice ones...
problem
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
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?
article
Train Spotters' Paradise
Dave Hewitt suggests that there might be more to mathematics than looking at numerical results, finding patterns and generalising.
problem
Have you got it?
Age
11 to 14
Challenge level
Can you explain the strategy for winning this game with any target?
problem
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
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
Number Pyramids
Age
11 to 14
Challenge level
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
problem
Mirror, mirror...
Age
11 to 14
Challenge level
Explore the effect of reflecting in two parallel mirror lines.
problem
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
Magic Letters
Age
11 to 14
Challenge level
Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
problem
Strange Bank Account
Age
11 to 14
Challenge level
Imagine a very strange bank account where you are only allowed to do two things...
problem
Beach Huts
Age
11 to 14
Challenge level
Can you figure out how sequences of beach huts are generated?
problem
More Number Pyramids
Age
11 to 14
Challenge level
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
problem
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
...on the wall
Age
11 to 14
Challenge level
Explore the effect of reflecting in two intersecting mirror lines.
problem
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
Litov's Mean Value Theorem
Age
11 to 14
Challenge level
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...