Weekly Problem 36 - 2012
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?
Weekly Problem 40 - 2012
Weekly Problem 39 - 2012
Weekly Problem 38 - 2012
Weekly Problem 37 - 2012
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.
For which values of n is the Fibonacci number fn even? Which
Fibonnaci numbers are divisible by 3?
With red and blue beads on a circular wire; 'put a red bead between
any two of the same colour and a blue between different colours
then remove the original beads'. Keep repeating this. What happens?
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
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