There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?

Use the information about Sally and her brother to find out how many children there are in the Brown family.

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?

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

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. . . .

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

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.

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?

How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

First of all, pick the number of times a week that you would like to eat chocolate. Multiply this number by 2...

Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.

Weekly Problem 39 - 2012

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

For which values of n is the Fibonacci number fn even? Which Fibonnaci numbers are divisible by 3?

A sequence of polynomials starts 0, 1 and each poly is given by combining the two polys in the sequence just before it. Investigate and prove results about the roots of the polys.

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

Felix, Matthew, Alice, Robert,Hayden, Jenna, Catherine, James, James, Nick,Kieran, Kayleigh, Bethany, Luke and Matthew, all from Cupernham School; Andrei of School 205, Sophia of Stamford High School and Matthew of Finley Middle School all sent in correct solutions.

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.

How can we solve equations like 13x + 29y = 42 or 2x +4y = 13 with the solutions x and y being integers? Read this article to find out.