Sam's grandmother has an old recipe for cherry buns. She has enough mixture to put 45 grams in each of 12 paper cake cases. What was the weight of one egg?

Susie took cherries out of a bowl by following a certain pattern. How many cherries had there been in the bowl to start with if she was left with 14 single ones?

Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?

Weekly Problem 40 - 2012

What is the first term of a Fibonacci sequence whose second term is 4 and fifth term is 22?

Weekly Problem 39 - 2012

For how many values of $n$ are both $n$ and $\frac{n+3}{n−1}$ integers?

Weekly Problem 38 - 2012

If an athlete takes 10 minutes longer to walk, run and cycle three miles than he does to cycle all three miles, how long does it take him?

Weekly Problem 37 - 2012

Baldrick could buy 6 parsnips and 7 turnips, or 8 parsnips and 4 turnips. How many parsnips could he buy?

Weekly Problem 36 - 2012

Can you work out how many more boys are in group 1 than girls are in group 2?

Think of a number, add one, double it, take away 3, add the number you first thought of, add 7, divide by 3 and take away the number you first thought of. You should now be left with 2. How do I. . . .

There are four children in a family, two girls, Kate and Sally, and two boys, Tom and Ben. How old are the children?

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.

A car's milometer reads 4631 miles and the trip meter has 173.3 on it. How many more miles must the car travel before the two numbers contain the same digits in the same order?

We received two particularly good solutions to this problem. The first is from Helen and Daniela who go to Aldermaston C of E Primary School and the second is from Joe and Richard at St. Nicolas CE Junior School, Newbury

Mathematics is the study of patterns. Studying pattern is an opportunity to observe, hypothesise, experiment, discover and create.

A game for 2 people, or play online. Given a target number,say 23, and a range of numbers to choose from, say 1-5, players take it in turns to add to the running total to hit their target number.