Dicey array
Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?
Factors and multiples game
A game in which players take it in turns to choose a number. Can you block your opponent?
Bracelets
Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
Sweets in a box
How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?
Abundant numbers
48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?
Flashing lights
Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second. How many times do they flash together during a whole minute?
Which is quicker?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
Odd squares
Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?
Up and down staircases
One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?
Brush loads
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
Tug harder!
Three dice
Area and perimeter
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
Multiply multiples 1
Multiply multiples 2
Round the dice decimals 2
What happens when you round these numbers to the nearest whole number?
Multiply multiples 3
Division rules
Subtraction surprise
Roman numerals
Tumbling down
Watch this animation. What do you see? Can you explain why this happens?
Guess what?
Pebbles
Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?
Making boxes
Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?
Reach 100
Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
Two primes make one square
Can you make square numbers by adding two prime numbers together?
Six ten total
Cubes within cubes
We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?