Weekly Problem 7 - 2008

The information display on a train shows letters by illuminating dots in a rectangular array. What fraction of the dots in this array is illuminated?

A ball is dropped from a height, and every time it hits the ground, it bounces to 3/5 of the height from which it fell.

Weekly Problem 11 - 2013

A shop has "Everything half price", and then "15% off sale prices". What is the overall reduction in cost?

Weekly Problem 23 - 2006

Can you work out how many times more chocolate Peg has then Meg?

Weekly Problem 24 - 2010

Can you find a number that is half way between these two fractions?

Weekly Problem 26 - 2012

Which of these fractions is the largest?

Weekly Problem 21 - 2016

Peter Piper picked a peck of pickled peppers. How many more pecks must Peter Piper pick to fill a barrel?

Weekly Problem 32 - 2008

Malcolm and Nikki run at different speeds. They set off in opposite directions around a circular track. Where on the track will they meet?

Weekly Problem 44 - 2017

What percentage of his 10,000 men did the Grand Old Duke of York have left when he arrived back at the bottom of the hill?

Weekly Problem 47 - 2010

Two fractions have been placed on a number line. Where should another fraction be placed?

Weekly Problem 58 - 2012

Once granny has smashed some of her cups and saucers, how many cups are now without saucers?

What fraction of customers buy Kleenz after the advertising campaign?

Weekly Problem 44 - 2008

John, Peter, Rudolf, Susie and Tony decide to set some questions for the Schools Mathematical Challenge. Can you work out how long in total they spend setting questions?

Weekly Problem 43 - 2006

To make porridge, Goldilocks mixes oats and wheat bran..... what percentage of the mix is wheat?

Weekly Problem 50 - 2010

Find a simple way to compute this long fraction.

Weekly Problem 25 - 2012

Which of the cities shown had the largest percentage increase in population?

Weekly Problem 48 - 2016

Boarwarts Academy played their annual match against Range Hill School. What fraction of the points were scored in the second half?

Weekly Problem 38 - 2009

This sequence is given by the mean of the previous two terms. What is the fifth term in the sequence?

How can Jim share his sheep between his three children in the way he wants to?

Weekly Problem 46 - 2014

Which of these powers of fractions has greatest value?

Weekly Problem 15 - 2011

Andrea has just filled up a fraction of her car's petrol tank. How much petrol does she now have?

Weekly Problem 43 - 2013

What is 20% of 30% of 40% of £50?

Weekly Problem 32 - 2015

Can you work out the missing numbers in this multiplication magic square?

Weekly Problem 9 - 2013

Can you place the nine cards onto a 3x3 grid such that every row, column and diagonal has a product of 1?

Weekly Problem 6 - 2007

Three-quarters of the junior members of a tennis club are boys and the rest are girls. What is the ratio of boys to girls among these members?

Weekly Problem 4 - 2017

Tommy's tankard holds 480ml when it is one quarter empty. How much does it hold when it is one quarter full?

Weekly Problem 12 - 2010

Can Emily increase her average test score to more than $80$%? Find out how many more tests she must take to do so.

Weekly Problem 10 - 2013

Each of the three blind mice in turn ate a third of what remained of a piece of cheese. What fraction of the cheese did they eat in total?

Weekly Problem 17 - 2006

Granny says she is 84 years old, not counting her Sundays. How old is she?

Weekly Problem 10 - 2017

Talulah plants some tulip bulbs. When they flower, she notices something interesting about the colours. What fraction of the tulips are white?

Weekly Problem 23 - 2010

These numbers have been written as percentages. Can you work out which has the greatest value?

Weekly Problem 10 - 2016

Ivan, Tibor and Alex sat a test and achieved 85%, 90% and 95% respectively. Tibor scored just one more mark than Ivan. How many marks did Alex get?

Weekly Problem 7 - 2007

How many rats did the Pied Piper catch?

Weekly Problem 45 - 2014

After playing 500 games, my success rate at Solitare is 49%. How many games do I need to win to increase my success rate to 50%?

Weekly Problem 50 - 2017

What percentage of a quarter is a fifth?

Weekly Problem 49 - 2016

Four hobbits each eat one quarter of the porridge remaining in the pan. How much is left?

Weekly Problem 3 - 2010

If this class contains between $45$% and $50$% girls, what is the smallest possible number of girls in the class?

A group of monkeys eat various fractions of a harvest of peanuts. What fraction is left behind?

Weekly Problem 24 - 2012

Can you put these very close fractions into order?

Weekly Problem 47 - 2007

What is 50% of 2007 plus 2007% of 50?

Weekly Problem 43 - 2015

Rachel and Ross share a bottle of water. Can you work out how much water Rachel drinks?

Weekly Problem 51 - 2007

Last year, on the television programme Antiques Roadshow... work out the approximate profit.

Dean finishes his exam strongly. Can you work out how many questions are on the paper if he gets an average of 80%?

Weekly Problem 10 - 2014

What is the sum of the first $2011$ digits when $20 \div 11$ is written as a decimal?

A property developer sells two houses, and makes a 20% loss on one and a 20% profit on the other. Overall, did he make a profit or a loss?

Weekly Problem 49 - 2007

What is the mean of 1.2 recurring and 2.1 recurring?

Weekly Problem 46 - 2011

Multiply a sequence of n terms together. Can you work out when this product is equal to an integer?

Weekly Problem 9 - 2017

What integer x makes x/9 lie between 71/7 and 113/11?

Yesterday, at Ulaanbaatar market, a white elephant cost the same amount as 99 wild geese. How many wild geese cost the same amount as a white elephant today?