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.?
My cousin was 24 years old on Friday April 5th in 1974. On what day of the week was she born?
Use the clues to work out which cities Mohamed, Sheng, Tanya and Bharat live in.
If these elves wear a different outfit every day for as many days as possible, how many days can their fun last?
Sitting around a table are three girls and three boys. Use the clues to work out were each person is sitting.
These activities lend themselves to systematic working in the sense that it helps to have an ordered approach.
Use the clues to find out who's who in the family, to fill in the family tree and to find out which of the family members are mathematicians and which are not.
Make a pair of cubes that can be moved to show all the days of the month from the 1st to the 31st.
Seven friends went to a fun fair with lots of scary rides. They decided to pair up for rides until each friend had ridden once with each of the others. What was the total number rides?
These activities focus on finding all possible solutions so if you work in a systematic way, you won't leave any out.
The Zargoes use almost the same alphabet as English. What does this birthday message say?
What is the smallest number of jumps needed before the white rabbits and the grey rabbits can continue along their path?
Can you create jigsaw pieces which are based on a square shape, with at least one peg and one hole?
These activities focus on finding all possible solutions so working in a systematic way will ensure none are left out.
These are the faces of Will, Lil, Bill, Phil and Jill. Use the clues to work out which name goes with each face.
These activities lend themselves to systematic working in the sense that it helps if you have an ordered approach.
The Vikings communicated in writing by making simple scratches on wood or stones called runes. Can you work out how their code works using the table of the alphabet?
This article for primary teachers suggests ways in which to help children become better at working systematically.
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.
The pages of my calendar have got mixed up. Can you sort them out?
Nina must cook some pasta for 15 minutes but she only has a 7-minute sand-timer and an 11-minute sand-timer. How can she use these timers to measure exactly 15 minutes?
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?
What is the date in February 2002 where the 8 digits are palindromic if the date is written in the British way?
A merchant brings four bars of gold to a jeweller. How can the jeweller use the scales just twice to identify the lighter, fake bar?
Six friends sat around a circular table. Can you work out from the information who sat where and what their profession were?
Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
Place eight queens on an chessboard (an 8 by 8 grid) so that none can capture any of the others.
When newspaper pages get separated at home we have to try to sort them out and get things in the correct order. How many ways can we arrange these pages so that the numbering may be different?
Place eight dots on this diagram, so that there are only two dots on each straight line and only two dots on each circle.
There are seven pots of plants in a greenhouse. They have lost their labels. Perhaps you can help re-label them.
Put 10 counters in a row. Find a way to arrange the counters into five pairs, evenly spaced in a row, in just 5 moves, using the rules.
What is the best way to shunt these carriages so that each train can continue its journey?
Can you shunt the trucks so that the Cattle truck and the Sheep truck change places and the Engine is back on the main line?
How many trapeziums, of various sizes, are hidden in this picture?
Can you use this information to work out Charlie's house number?
Only one side of a two-slice toaster is working. What is the quickest way to toast both sides of three slices of bread?
This tricky challenge asks you to find ways of going across rectangles, going through exactly ten squares.
Find all the different shapes that can be made by joining five equilateral triangles edge to edge.
Tim's class collected data about all their pets. Can you put the animal names under each column in the block graph using the information?
If we had 16 light bars which digital numbers could we make? How will you know you've found them all?
Take 5 cubes of one colour and 2 of another colour. How many different ways can you join them if the 5 must touch the table and the 2 must not touch the table?
Investigate the different ways you could split up these rooms so that you have double the number.
In this challenge, buckets come in five different sizes. If you choose some buckets, can you investigate the different ways in which they can be filled?
Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?
There are 4 jugs which hold 9 litres, 7 litres, 4 litres and 2 litres. Find a way to pour 9 litres of drink from one jug to another until you are left with exactly 3 litres in three of the jugs.
You cannot choose a selection of ice cream flavours that includes totally what someone has already chosen. Have a go and find all the different ways in which seven children can have ice cream.
This task depends on groups working collaboratively, discussing and reasoning to agree a final product.
In the planet system of Octa the planets are arranged in the shape of an octahedron. How many different routes could be taken to get from Planet A to Planet Zargon?
How could you put eight beanbags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?
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?