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Fraction of Amounts Practice Questions

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Six fractions lesson to choose from, or mix and match as you need!

Equivalent and simplifying fractions is a complete lesson including worksheets, multiple choice, bingo and Blooms questioning.

Fractions of amounts is another differentiated complete lesson, including bingo and questions.

Adding and subtracting fractions has a detailed tutorial focusing on finding common denominators.

Multiplying and dividing fractions has visual explanations and differentiated questions.

The mixed numbers lesson ties all four operations together with further differentiated sheets and explanations.

The fractions review lesson is a differentiated and scaffolded complete lesson with ESP (establishing starting points) task followed by scaffolded sheets. Students select which sheets to complete with guidance from teacher.

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Fractions, Decimals and Percentages - Short Problems

Jacob's Flock

How many sheep are in Jacob's flock?

Farthest Fraction

Which of these fractions is the largest?

Tommy's Tankard

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?

Multiplication Magic Square

Weekly Problem 32 - 2015 Can you work out the missing numbers in this multiplication magic square?

Smashing Time

Weekly Problem 58 - 2012 Once granny has smashed some of her cups and saucers, how many cups are now without saucers?

Talulah's Tulips

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?

Better Spelling

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.

Valuable Percentages

Weekly Problem 23 - 2010 These numbers have been written as percentages. Can you work out which has the greatest value?

Bouncing Ball

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.

Percentage Mad

Weekly Problem 43 - 2013 What is 20% of 30% of 40% of £50?

Information Display

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?

Mean Sequence

Weekly Problem 38 - 2009 This sequence is given by the mean of the previous two terms. What is the fifth term in the sequence?

Ordering Fractions

Weekly Problem 46 - 2014 Which of these fractions has greatest value?

Magical Products

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

Smallest Fraction

Which of these is the smallest?

Three Blind Mice

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?

Charlie's Money

How much money did Charlie have to begin with?

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

Pride of Place

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

Second Half Score

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

Between a Sixth and a Twelfth

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

Slightly Outnumbered

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

What fraction of this triangle is shaded?

Peanut Harvest

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

Tricky Fractions

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

Too Close to Call

Weekly Problem 24 - 2012 Can you put these very close fractions into order?

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

Petrol Station

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

A Drink of Water

Weekly Problem 43 - 2015 Rachel and Ross share a bottle of water. Can you work out how much water Rachel drinks?

Entrance Exam

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

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

Test Scores

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?

Tennis Club

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?

The Grand Old Duke of York

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?

Meeting Point

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

How many rats did the Pied Piper catch?

Percentage Swap

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

Recurring Mean

What is the mean of 1.2 recurring and 2.1 recurring?

Itchy's Fleas

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

Weekly Problem 11 - 2013 A shop has "Everything half price", and then "15% off sale prices". What is the overall reduction in cost?

What percentage of the truck's final mass is coal?

Percentage Unchanged

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

What fraction of customers buy Kleenz after the advertising campaign?

2011 Digits

Weekly Problem 10 - 2014 What is the sum of the first $2011$ digits when $20 \div 11$ is written as a decimal?

Pineapple Juice

What percentage of this orange drink is juice?

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%?

Percentage of a Quarter

What percentage of a quarter is a fifth?

Fractions of 1000

Find a simple way to compute this long fraction.

Breakfast Time

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

Antiques Roadshow

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

Squeezed In

Weekly Problem 9 - 2017 What integer x makes x/9 lie between 71/7 and 113/11?

Producing an Integer

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

Elephants and Geese

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?

The Property Market

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?

Algebraic Fractions: Worksheets with Answers

Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. And best of all they all (well, most!) come with answers.

Mathster keyboard_arrow_up Back to Top

Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. They have kindly allowed me to create 3 editable versions of each worksheet, complete with answers.

Corbett Maths keyboard_arrow_up Back to Top

Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. It really is one of the very best websites around.

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Fractions Problem Solving in Context

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

9 April 2020

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I wanted to bring my maths classroom closer to the real world, and specifically the problems and changes that we face. I wanted a resource that would raise awareness of important issues in society, invite discussion in a maths classroom, and spur action.

So these resources place key fraction skills in the context of society’s challenges. **Students work with fraction change and fractions of amounts. **

It provides an opportunity to practice problem solving in new contexts, and highlights the power that maths has to quantify issues and help address them. The numbers and statistics are all very close to the real numbers, often rounded to make it easier to work with in a classroom.

Feel free to add your own and adjust and help take maths into the world and its challenges!

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jjubuma2014

Excellent resources! I like the Equality and Diversity part of them. It's so eloquent. I will use them to engage FE 16 - 18 yo students.

LawrenceHouldsworth

I am pleased to hear it was helpful, thank you for sharing!

Empty reply does not make any sense for the end user

jack2468_uk

Amazing idea!

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