problem
Favourite
The Third Dimension
Age
5 to 11
Challenge level
Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?
problem
Favourite
Square Corners
Age
7 to 11
Challenge level
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
problem
Favourite
A Square of Numbers
Age
7 to 11
Challenge level
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
problem
Favourite
A Mixed-up Clock
Age
7 to 11
Challenge level
There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?
problem
Favourite
Magic Vs
Age
7 to 11
Challenge level
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
problem
Favourite
Fifteen cards
Age
7 to 11
Challenge level
Can you use the information to find out which cards I have used?
problem
Favourite
Take three numbers
Age
7 to 11
Challenge level
What happens when you add three numbers together? Will your answer be odd or even? How do you know?
problem
Favourite
Play to 37
Age
7 to 11
Challenge level
In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.
problem
Favourite
Build it up
Age
7 to 11
Challenge level
Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.
problem
Favourite
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
Favourite
Buying a Balloon
Age
7 to 11
Challenge level
Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?
problem
Favourite
How many Times?
Age
7 to 11
Challenge level
On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?
problem
Favourite
Sealed Solution
Age
7 to 11
Challenge level
Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?
problem
Favourite
Got It
Age
7 to 14
Challenge level
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
problem
Favourite
Finding Fifteen
Age
7 to 11
Challenge level
Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?
problem
Favourite
Oh! Harry!
Age
7 to 11
Challenge level
A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
problem
Favourite
This Pied Piper of Hamelin
Age
7 to 11
Challenge level
Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
problem
Favourite
Roll these Dice
Age
7 to 11
Challenge level
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?
problem
Favourite
Wonky Watches
Age
7 to 11
Challenge level
Stuart's watch loses two minutes every hour. Adam's watch gains one minute every hour. Use the information to work out what time (the real time) they arrived at the airport.
problem
Favourite
Amy's Dominoes
Age
7 to 11
Challenge level
Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?
problem
Favourite
5 on the clock
Age
7 to 11
Challenge level
On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?
problem
Favourite
Inky Cube
Age
7 to 14
Challenge level
This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
problem
Favourite
Dice in a Corner
Age
7 to 11
Challenge level
How could you arrange at least two dice in a stack so that the total of the visible spots is 18?
problem
Favourite
Watch the clock
Age
7 to 11
Challenge level
During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?