A mother wants to share a sum of money by giving each of her children in turn a lump sum plus a fraction of the remainder. How can she do this in order to share the money out equally?
Imagine you were given the chance to win some money... and imagine you had nothing to lose...
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?
A gambler bets half the money in his pocket on the toss of a coin, winning an equal amount for a head and losing his money if the result is a tail. After 2n plays he has won exactly n times. Has. . . .
How much money did Charlie have to begin with?
If three brothers will get £20 more if they do not share their money with their sister, how much money is there?
How much money did the pensioner have before being robbed?
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?
Which of these pocket money systems would you rather have?
Your school has been left a million pounds in the will of an ex- pupil. What model of investment and spending would you use in order to ensure the best return on the money?
Ben has five coins in his pocket. How much money might he have?
How much money did the Queen give away in pence as a power of 2?
Go through the maze, collecting and losing your money as you go. Which route gives you the highest return? And the lowest?
Weekly Problem 40 - 2008
A class raises money for charity by placing 10p pieces edge to edge in a 'silver line'. If the line was 25m long, how much money did they make?
Two brothers were left some money, amounting to an exact number of pounds, to divide between them. DEE undertook the division. "But your heap is larger than mine!" cried DUM...
Bipin is in a game show and he has picked a red ball out of 10 balls. He wins a large sum of money, but can you use the information to decided what he should do next?
in how many ways can you place the numbers 1, 2, 3 … 9 in the nine regions of the Olympic Emblem (5 overlapping circles) so that the amount in each ring is the same?
Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
Can you fit the tangram pieces into the outlines of the camel and giraffe?
A man has 5 coins in his pocket. Given the clues, can you work out what the coins are?
These upper primary activities have been chosen to give you chance to record in whatever way you like.
Baker, Cooper, Jones and Smith are four people whose occupations are teacher, welder, mechanic and programmer, but not necessarily in that order. What is each person’s occupation?
In my local town there are three supermarkets which each has a special deal on some products. If you bought all your shopping in one shop, where would be the cheapest?
This article for teachers suggests ideas for activities built around 10 and 2010.
Five children went into the sweet shop after school. There were choco bars, chews, mini eggs and lollypops, all costing under 50p. Suggest a way in which Nathan could spend all his money.
The tasks in this collection can be used to encourage children to convince others of their reasoning, by first convincing themselves, then a friend, then a 'sceptic'.
Working on these problems will help your students develop a better understanding of fractions, decimals and percentages.
This collection of KS1 tasks combines the skills of estimating, comparing and measuring.
Dan and Ann have 9 and 8 coins respectively. What is the smallest number of coins they must swap so they end up with equal amounts of money.
Take another look at familiar situations.
Think you know what's going on? Look again!
Heads or Tails - the prize doubles until you win it. How much would you pay to play?
You are given the method used for assigning certain check codes and you have to find out if an error in a single digit can be identified.
We have exactly 100 coins. There are five different values of coins. We have decided to buy a piece of computer software for 39.75. We have the correct money, not a penny more, not a penny less! Can. . . .
These lower primary activities are all about measuring. You'll find money, length and time here.
Al, Bertie, Chris and Di have sums of money totalling £150... What is the difference between the amount Al and Di have?
How many different bunches of flowers can this class buy for their teacher?
At the beginning of the night three poker players; Alan, Bernie and Craig had money in the ratios 7 : 6 : 5. At the end of the night the ratio was 6 : 5 : 4. One of them won $1 200. What were the. . . .
How can you use just one weighing to find out which box contains the lighter ten coins out of the ten boxes?
Exploring interesting patterns and sequences generated with fractions.
Second of two articles about Fibonacci, written for students.
In the pirate pound shop, children can practise their counting skills by choosing ten items to spend their ten pounds on.
Here are some challenges that you can work on and then see if you can convince someone that your solutions are right! Have a go!
George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?
This collection of activities allows you to focus on children's own representations and recordings.