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?

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.

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.

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.

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.