Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?
What is the smallest number of coins needed to make up 12 dollars and 83 cents?
This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
These are the faces of Will, Lil, Bill, Phil and Jill. Use the clues to work out which name goes with each face.
El Crico the cricket has to cross a square patio to get home. He can jump the length of one tile, two tiles and three tiles. Can you find a path that would get El Crico home in three jumps?
This challenge is about finding the difference between numbers which have the same tens digit.
Six friends sat around a circular table. Can you work out from the information who sat where and what their profession were?
These activities lend themselves to systematic working in the sense that it helps if you have an ordered approach.
My briefcase has a three-number combination lock, but I have forgotten the combination. I remember that there's a 3, a 5 and an 8. How many possible combinations are there to try?
There are seven pots of plants in a greenhouse. They have lost their labels. Perhaps you can help re-label them.
Use the clues to work out which cities Mohamed, Sheng, Tanya and Bharat live in.
My cousin was 24 years old on Friday April 5th in 1974. On what day of the week was she born?
What is the date in February 2002 where the 8 digits are palindromic if the date is written in the British way?
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?
In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.
These activities focus on finding all possible solutions so if you work in a systematic way, you won't leave any out.
Using all ten cards from 0 to 9, rearrange them to make five prime numbers. Can you find any other ways of doing it?
Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
How many possible necklaces can you find? And how do you know you've found them all?
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
If we had 16 light bars which digital numbers could we make? How will you know you've found them all?
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?
Alice and Brian are snails who live on a wall and can only travel along the cracks. Alice wants to go to see Brian. How far is the shortest route along the cracks? Is there more than one way to go?
Can you rearrange the biscuits on the plates so that the three biscuits on each plate are all different and there is no plate with two biscuits the same as two biscuits on another plate?
You have two egg timers. One takes 4 minutes exactly to empty and the other takes 7 minutes. What times in whole minutes can you measure and how?
Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?
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.?
Sitting around a table are three girls and three boys. Use the clues to work out were each person is sitting.
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
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?
Make a pair of cubes that can be moved to show all the days of the month from the 1st to the 31st.
My coat has three buttons. How many ways can you find to do up all the buttons?
Can you use this information to work out Charlie's house number?
The Zargoes use almost the same alphabet as English. What does this birthday message say?
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?
What is the smallest number of jumps needed before the white rabbits and the grey rabbits can continue along their path?
Only one side of a two-slice toaster is working. What is the quickest way to toast both sides of three slices of bread?
Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
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?
Can you create jigsaw pieces which are based on a square shape, with at least one peg and one hole?
There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?
If these elves wear a different outfit every day for as many days as possible, how many days can their fun last?
Lorenzie was packing his bag for a school trip. He packed four shirts and three pairs of pants. "I will be able to have a different outfit each day", he said. How many days will Lorenzie be away?
Ben has five coins in his pocket. How much money might he have?
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?
Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
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?
Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.
The challenge here is to find as many routes as you can for a fence to go so that this town is divided up into two halves, each with 8 blocks.