Use the digits ...

6 1 5 3 2

... to make 675

You have five minutes to get as close to 675 as possible using any mathematical operations you know but each digit only once.

## A Great Way To Begin Your Mathematics Lesson

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Topics: Starter | Arithmetic

• The Best Maths Class (7cdM2), King Alfred's College, Oxfordshire.
•
• Very,very good but clearer instructions would have been helpful. Can we have something more challenging please!
• Christine Fraser, St Patrick's Catholic Primary School WELLINGTON TELFORD
•
• Children initially would have liked more information. e.g. Could they use each number more than once.
Children thought they had to use integers individually not combine to form HTU.
Solved though!
•
• I was surprised to find that I had found it a different way.
33 (16) + 8 = 536
as well as, the one I used, (making a simple answer that much more difficult)
(8^3) + 6 (1 + 3) = 536.
• Red Table (Callum,Callum Nico Tremayne Shaun), Cheadle Primary School
•
• It was very challenging and very very fun. It was easier because it was a team effort.
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• I find this very good to teach life skills, I told my pupils that often in life our only limitations are the ones we impose on ourselves. The question did not say what you can or can not do, so get creative and do whaever you want to do: HTU by TU, repeat digits,double it, make up your rules. the differentiation is built in, If the whole class can get the answer the I would have imposed certain conditions to make it more difficult. Good idea, welldone.
• Frances, Wales
•
• The instructions could have been clearer. We weren't sure whether to use numbers more than once.
• Netherlee Primary, Mrs Sweeney's Epic Maths Set
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• Clearer instructions would have been better. We were confused as to whether we could use the numbers more than once. We enjoyed the challenge though and one girl in the class managed to work it out. We did not use calculators.
• 7O, Telford
•
• Good exercise, but the instructions need to be clearer. In particular it should state that each digit can only be used once.

[Transum: Thanks for the comments. The instructions now state that each digit can only be used once.]
• Alan Brooke-feather, Wolverley High School Worcs
•
• Clearer instructions please, otherwise a good starter my top set yr 7s enjojed it.
• Sharon Wray, Geneva
•
• A brilliant starter. We use this at least once a week and the children love it. Year 6 class Geneva. Thank you!
• Steve Eastop, Margate, Kent, UK
•
• My solution is:
2^(8-1) x (2+1) which is equivalent to: 2^7 x 3 which is, in turn, equivalent to: 128 x 3 which = 384. This method uses all the numbers except the 6! The question doesn’t stipulate that you can’t use the numbers as powers/exponents/indices, etc….
• Rosie Meynell, Kilgraston School
•
• Kilgraston L4 (Rosie Meynell) achieved 2207 by:
(3^(8-1))+(5x4)=2207. Yay!
• Mr Mcmillan, Wicor Primary School
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• We got 930 after a painfull hour!!! but eventually we got it.
• Primary 6, Blackridge Primary School
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• We thought it was fun and challenging. I took us a while to finish it. Lots of us tried to think outside the box.
• Hafsa, Eastwod
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• I think this question is very challenging but that's what I like.It is a kind of question which you have to use your mathematical knowledge !!!!
• Mr Norris And 8Q4, Birmingham
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• Queensbridge School got 2822.857 with a target of 2828.
3^9 / 7 = 2811.857
2811.57 + 11 = 2822.857.

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What strategies did you use?

Or did you use all three?

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Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click the button above to regenerate another version of this starter from random numbers.

Christmas Present Ideas

It is often very difficult choosing Christmas presents for family and friends but so here are some seasonal, mathematics-related gifts chosen and recommended by Transum Mathematics.

## Equate board game

Here's a great board game that will give any family with school-aged kids hours of worthwhile fun. Christmas is a time for board games but this one will still be useful at any time of year. Games can be adapted to suit many levels of Mathematical ability.

For Maths tutors working with just one or small groups of pupils this game has proved to be an excellent activity for a tutorial. Deciding on the best moves can spark pertinent discussions about mathematical concepts.

Equate looks a bit like Scrabble--for aspiring mathematicians, that is. Designed by a real mathematician, it works like this: You put down tiles on a board and make points by correctly completing simple equations. Your nine tiles include both numbers and mathematical symbols; you can add on to previous plays both vertically and horizontally. more...

## How Not To Be Wrong

The maths we learn in school can seem like an abstract set of rules, laid down by the ancients and not to be questioned. In fact, Jordan Ellenberg shows us, maths touches on everything we do, and a little mathematical knowledge reveals the hidden structures that lie beneath the world's messy and chaotic surface. In How Not to be Wrong, Ellenberg explores the mathematician's method of analyzing life, from the everyday to the cosmic, showing us which numbers to defend, which ones to ignore, and when to change the equation entirely. Along the way, he explains calculus in a single page, describes Gödel's theorem using only one-syllable words, and reveals how early you actually need to get to the airport.

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## Graphic Display Calculator

This handheld device and companion software are designed to generate opportunities for classroom exploration and to promote greater understanding of core concepts in the mathematics and science classroom. TI-Nspire technology has been developed through sound classroom research which shows that "linked multiple representation are crucial in development of conceptual understanding and it is feasible only through use of a technology such as TI-Nspire, which provides simultaneous, dynamically linked representations of graphs, equations, data, and verbal explanations, such that a change in one representation is immediately reflected in the others.

For the young people in your life it is a great investment. Bought as a Christmas present but useful for many years to come as the young person turns into an A-level candidate then works their way through university. more...

The analytics show that more and more people are accessing Transum Mathematics via an iPad as it is so portable and responsive. The iPad has so many other uses in addition to solving Transum's puzzles and challenges and it would make an excellent gift for anyone.

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## Aristotle's Number Puzzle

It’s a bit of a tradition to give puzzles as Christmas Gifts to nieces and nephews. This puzzle is ideal for the keen puzzle solver who would like a challenge that will continue over the festive period (at least!).

This number puzzle involves nineteen numbers arranged into a hexagon. The goal of the puzzle is to rearrange the numbers so each of the fifteen rows add up to 38. It comes in a wooden style with an antique, aged look.

Keep the Maths in Christmaths with this reasonably priced stocking filler. more...

## The Story Of Maths [DVD]

The films in this ambitious series offer clear, accessible explanations of important mathematical ideas but are also packed with engaging anecdotes, fascinating biographical details, and pivotal episodes in the lives of the great mathematicians. Engaging, enlightening and entertaining, the series gives viewers new and often surprising insights into the central importance of mathematics, establishing this discipline to be one of humanity s greatest cultural achievements. This DVD contains all four programmes from the BBC series.

Marcus du Sautoy's wonderful programmes make a perfect Christmas gift more...

## Christmas Maths

This book provides a wealth of fun activities with a Christmas theme. Each photocopiable worksheet is matched to the Numeracy Strategy and compatible with the Scottish 5-14 Guidelines. This series is designed for busy teachers in the late Autumn term who are desperate for materials that are relevant and interesting and that can be completed with minimun supervision.

All the activities are suitable for use by class teachers, supply teachers, SEN teachers and classroom assistants and cover topics such as 'How many partridges did the true love give all together?' and 'Filling a sleigh with presents by rolling a dice!'. Children will have lots of fun working through the Christmas Maths themes but also gain valuable skills along the way.

A great source of ideas and another reasonably priced stocking filler. more...

Click the images above to see all the details of these gift ideas and to buy them online.

Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.

 Teacher, do your students have access to computers?Do they have iPads or Laptops in Lessons? Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

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Here is the URL which will take them to a related student activity.

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Transum.org/go/?to=Countdown

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