Weekly Problem 38 - 2011
Given three concentric circles, shade in the annulus formed by the smaller two. What percentage of the larger circle is now shaded?
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 49 - 2011
How long will it take Inspector Remorse to crack this crime spree?
Weekly Problem 10 - 2012
If you know how long Meg's shadow is, can you work out how long the shadow is when she stands on her brother's shoulders?
Weekly Problem 23 - 2012
Can you work out the ratio of shirt types made by a factory, if you know the ratio of button types used?
Weekly Problem 24 - 2012
Can you put these very close fractions into order?
Weekly Problem 26 - 2012
Which of these fractions is the largest?
Weekly Problem 27 - 2012
Television screens have changed from the traditional 4:3 to widescreen 16:9. If a new television and an old television have the same area, what is the ratio of their widths?
Weekly Problem 58 - 2012
Once granny has smashed some of her cups and saucers, how many cups are now without saucers?
Weekly Problem 29 - 2012
Which fraction is halfway between one quarter and one eigth?
Weekly Problem 30 - 2012
Can you work out the number of chairs at a cafe from the number of legs?
Weekly Problem 25 - 2012
Which of the cities shown had the largest percentage increase in population?
Weekly Problem 33 - 2012
Minnie trained more for the London Marathon this year, so her speed increased. By what percentage did her time decrease?
Weekly Problem 43 - 2013
What is 20% of 30% of 40% of £50?
Weekly Problem 44 - 2013
If you know that a fraction of X is the same as a different fraction of Y, can you work out X/Y?
Weekly Problem 46 - 2013
What is the value of 3 divided by one half?
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 male punky fish has 9 stripes and a female punky fish has 8 stripes. I count 86 stripes on the fish in my tank. What is the ratio of male fish to female fish?
Malcolm and Nikki run at different speeds. They set off in opposite directions around a circular track. Where on the track will they meet?
A recipe for flapjacks calls for a certain quantity of butter, sugar and oats. Given the amount of these ingredients I have, how many flapjacks can I make?
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?
A car with 5 tyres (four road tyres and a spare) travelled 30,000 km. All 5 tyres were used equally. How many kilometres' wear did each tyre receive?
Weekly Problem 3 - 2010
If this class contains between $45$% and $50$% girls, what is the smallest possible number of girls in the class?
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 23 - 2010
These numbers have been written as percentages. Can you work out which has the greatest value?
Weekly Problem 24 - 2010
Can you find a number that is half way between these two fractions?
Weekly Problem 26 - 2010
Does Joseph have too many sheep in his flock...
Weekly Problem 47 - 2010
Two fractions have been placed on a number line. Where should another fraction be placed?
Weekly Problem 49 - 2010
When I place a triangle over a small square, or cover a larger square with the same triangle, a certain proportion of each is covered. What is the area of the triangle?
Weekly Problem 50 - 2010
Find a simple way to compute this long fraction.
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 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 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 11 - 2013
A shop has "Everything half price", and then "15% off sale prices". What is the overall reduction in cost?
Weekly Problem 10 - 2014
What is the sum of the first $2011$ digits when $20 \div 11$ is written as a decimal?
Weekly Problem 45 - 2014
After playing 500 games, my success rate at Spider Solitare is 49%. How many games do I need to win to increase my success rate to 50%?
Weekly Problem 46 - 2014
Which of these powers of fractions has greatest value?
Weekly Problem 32 - 2015
Can you work out the missing numbers in this multiplication magic square?
Weekly Problem 43 - 2015
Rachel and Ross share a bottle of water. Can you work out how much water Rachel drinks?
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 21 - 2016
Peter Piper picked a peck of pickled peppers. How many more pecks must Peter Piper pick to fill a barrel?
Weekly Problem 34 - 2016
A survey for washing-up liquid revealed that 2/3 of customers bought Jinx, and 1/3 of customers bought Kleenz. After an advertising campaign, what fraction of customers buy Kleenz?
Weekly Problem 36 - 2016
What percentage of the integers between 1 and 10,000 are square numbers?
Weekly Problem 43 - 2016
In the diagram, the small squares are all the same size. What fraction of the large square is shaded?
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 49 - 2016
Four hobbits each eat one quarter of the porridge remaining in the pan. How much is left?
Weekly Problem 1 - 2017
Yesterday evening, Emily's journey home took 25% longer than usual. By what percentage was her average speed reduced compared to normal?
Weekly Problem 2 - 2017
A small ink cartridge has enough ink to print 600 pages. How many pages can be printed using a large ink cartridge.
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 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 12 - 2017
There are six more girls than boys in Miss Spelling's class of 24 pupils. What is the ratio of girls to boys in the class?
Weekly Problem 20 - 2017
The diagram shows a design formed by drawing six lines in a regular hexagon. What fraction of the hexagon is shaded?
Weekly Problem 32 - 2017
Itchy has a million fleas. His anti-flea leaves no more than 1% of the original fleas after use. What is the least number of fleas that the shampoo will remove?
Weekly Problem 7 - 2017
An athletics club has girl, boy and adult members in the ratio 3:4:9. If there are 16 more adult members than junior members, how many members does the club have?
Weekly Problem 9 - 2017
What integer x makes x/9 lie between 71/7 and 113/11?
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 46 - 2017
Given the ratios of junior to senior and senior to veteran members, can you work out what the smallest possible number of members in a swimming club is?
Weekly Problem 50 - 2017
What percentage of a quarter is a fifth?