This is part of our collection of Short Problems.
You may also be interested in our longer problems on Fractions, Decimals and Percentages: Age 11-16.
We have put together a selection of these short problems as printable worksheets:
Printable worksheets: Age 11-14 ⭐ Printable worksheet: Age 11-14 ⭐⭐ Printable worksheet: Age 11-14 ⭐⭐⭐
Printable worksheets: Age 14-16 ⭐ Printable worksheets: Age 14-16 ⭐⭐ Printable worksheet: Age 14-16 ⭐⭐⭐ Printable worksheet solutions
1 out of 3
Which of these fractions is the largest?
1 out of 3
Weekly Problem 58 - 2012
Once granny has smashed some of her cups and saucers, how many cups are now without saucers?
1 out of 3
Weekly Problem 43 - 2013
What is 20% of 30% of 40% of £50?
1 out of 3
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?
1 out of 3
Weekly Problem 38 - 2009
This sequence is given by the mean of the previous two terms. What is the fifth term in the sequence?
1 out of 3
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.
1 out of 3
Weekly Problem 23 - 2010
These numbers have been written as percentages. Can you work out which has the greatest value?
1 out of 3
Weekly Problem 46 - 2014
Which of these fractions has greatest value?
1 out of 3
Weekly Problem 32 - 2015
Can you work out the missing numbers in this multiplication magic square?
1 out of 3
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?
1 out of 3
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?
1 out of 3
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.
2 out of 3
Can you find a number that is halfway between two fractions?
2 out of 3
Two fractions have been placed on a number line. Where should another fraction be placed?
2 out of 3
Can you place the nine cards onto a 3×3 grid such that every row, column and diagonal has a product of 1?
2 out of 3
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?
2 out of 3
Boarwarts Academy played their annual match against Range Hill School. What fraction of the points were scored in the second half?
2 out of 3
How much money did Charlie have to begin with?
2 out of 3
The space on a number line between a sixth and a twelfth is split into 3 equal parts. Find the number indicated.
3 out of 3
Weekly Problem 24 - 2012
Can you put these very close fractions into order?
3 out of 3
If this class contains between $45$% and $50$% girls, what is the smallest possible number of girls in the class?
3 out of 3
A group of monkeys eat various fractions of a harvest of peanuts. What fraction is left behind?
3 out of 3
Use this series of fractions to find the value of x.
3 out of 3
What fraction of this triangle is shaded?
1 out of 3
Which of the cities shown had the largest percentage increase in population?
1 out of 3
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?
1 out of 3
To make porridge, Goldilocks mixes oats and wheat bran..... what percentage of the mix is wheat?
1 out of 3
Malcolm and Nikki run at different speeds. They set off in opposite directions around a circular track. Where on the track will they meet?
1 out of 3
Andrea has just filled up a fraction of her car's petrol tank. How much petrol does she now have?
1 out of 3
Weekly Problem 43 - 2015
Rachel and Ross share a bottle of water. Can you work out how much water Rachel drinks?
1 out of 3
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?
1 out of 3
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?
1 out of 3
Dean finishes his exam strongly. Can you work out how many questions are on the paper if he gets an average of 80%?
2 out of 3
If the base of a rectangle is increased by 10% and the area is unchanged, by what percentage is the width decreased by?
2 out of 3
What is 50% of 2007 plus 2007% of 50?
2 out of 3
What is the mean of 1.2 recurring and 2.1 recurring?
2 out of 3
Find a simple way to compute this long fraction.
2 out of 3
Weekly Problem 11 - 2013
A shop has "Everything half price", and then "15% off sale prices". What is the overall reduction in cost?
2 out of 3
Weekly Problem 10 - 2014
What is the sum of the first $2011$ digits when $20 \div 11$ is written as a decimal?
2 out of 3
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%?
2 out of 3
What fraction of customers buy Kleenz after the advertising campaign?
2 out of 3
Four hobbits each eat one quarter of the porridge remaining in the pan. How much is left?
2 out of 3
Itchy the dog has a million fleas. How many fleas might his shampoo kill?
2 out of 3
What percentage of a quarter is a fifth?
2 out of 3
What percentage of the truck's final mass is coal?
2 out of 3
What percentage of this orange drink is juice?
3 out of 3
Multiply a sequence of n terms together. Can you work out when this product is equal to an integer?
3 out of 3
Last year, on the television programme Antiques Roadshow... work out the approximate profit.
3 out of 3
Weekly Problem 9 - 2017
What integer $x$ makes $\frac{x}{9}$ lie between $\frac{71}{7}$ and $\frac{113}{11}$?
3 out of 3
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?
3 out of 3
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?
