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Weekly Problem 23 - 2010

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

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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.

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Weekly Problem 43 - 2013

What is 20% of 30% of 40% of Â£50?

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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?

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Weekly Problem 38 - 2009

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

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Weekly Problem 46 - 2014

Which of these fractions has greatest value?

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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?

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Weekly Problem 32 - 2015

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

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Weekly Problem 58 - 2012

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

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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?

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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.

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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?

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Can you find a number that is halfway between two fractions?

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

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

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The space on a number line between a sixth and a twelfth is split into 3 equal parts. Find the number indicated.

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

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Use this series of fractions to find the value of x.

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Weekly Problem 24 - 2012

Can you put these very close fractions into order?

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

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

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

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

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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?

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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?

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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?

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

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

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

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Weekly Problem 43 - 2015

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

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What is the mean of 1.2 recurring and 2.1 recurring?

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Itchy the dog has a million fleas. How many fleas might his shampoo kill?

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Weekly Problem 11 - 2013

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

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If the base of a rectangle is increased by 10% and the area is unchanged, by what percentage is the width decreased by ?

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What fraction of customers buy Kleenz after the advertising campaign?

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Weekly Problem 10 - 2014

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

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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%?

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Find a simple way to compute this long fraction.

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

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

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Weekly Problem 9 - 2017

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

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

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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?

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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?