Three wise guys (Balth, Melch and Gaz) each bought you a gift. The total cost of the gifts was £36. Find as many sets of gifts as possible which add up to £36

 £22 £15 £8 £24 £36 £5 £7 £14 £21 £19 £6 £9 £7 £20 £23 £25

Teacher: Collect together students' findings by clicking on the numbers above.

They don't add up to 36

## A Mathematics Lesson Starter Of The Day

 This activity is suitable for students of mathematics all around the world. Use the button below to change the currency symbol used to make it more relevant to your students. You may wish to choose an unfamiliar currency to extend your students' experience.

Share

Topics: Starter | Arithmetic | Mental Methods | Xmas

You can find many more ChristMaths activities at:

Transum.org/ChristMaths/

• Chris Southward, Limehouse School Cumbria
•
• Year 7 found four more which you haven't mentioned in your triplets summing to 34 list. 24,3,7 - 24,5,5 - 25,3,6, and 23,7,4
• Liz Masshedar, Peterlee
•
• Just found this site. Already my year 6 pupils are reminding me to find the day's challenge. It is a really good resource to start the maths lesson and give them something to think about. Thanks!
• A O'Hagan, First year Holyrood Sec Glasgow
•
• Cesco and Asim found two more...22,8,4 and 21,8,5. The whole class managed to find all the others.
• Mrs Humphreys' Maths group, Nevill Road Juniors, Bramhall, Stockport
•
• We (year 6) found another 6 triplets that weren't mentioned.
• Class 5, Speyside
•
• We found 10, did yoy find any more?
• Emma Roach,
•
• We got 11 different triplets.
Did this with bottom set year 8 who loved doing it!
• P5, Giffnock Primary
•
• P5 at Giffnock Primary School found 12 triplets!!
• Class 2/6, Lauren Cowie
•
• This was too easy for us and not very challenging, and not up to the usual standard.
• Room 2 Maths, Taradale Intermediate
•
• We are pretty choice, because we got 13!!
• Stewart, Direk Schools South Australia
•
• Year 6/7 class found 12 combination.
•
• We got 14!
• M Ozog, Inverkiething High School
•
• 4MA5 found 13
Well done.
• Mr M's Nice But Dim Group, Canggu Community School, Bali
•
• Zac found 15, but then Zac can't count. We actually found 11 as a whole class, love the starters - keep it up!
• Miss Nixey, Dartington Primary School
•
• Year 5 and 6 at Dartington Primary School found 15 different ways. Well done everyone!
•
• Dyce Academy got 15 triplets. We are very smart!
• Mrs Renny, BTJS
•
• 5GR at Bishop Tufnell found 14 triplets!
•
• Katie Pasby, Hampton College
•
• I found 17 triplets.
• Mrs Rush, Reepham High
•
• 8MAH found 13 and are still looking!
•
• Our S1 class got 15 triplets! Enjoyed this challenge.
• Year 10, Welshpool High School
•
• We reckon there is lot more than 17. At least 30!
• Year 9 Set 3 2011, Welshpool High School, Powys, Wales
•
• Kirsty found 16 which we thought was really good. Louis and Alistair found 14.Others ranged down to 3.
• Mr Morriss Class 7B3, Montgomery High School
•
• We spend 5 mins individually and then gathered our answers together and got 16 as a class!!! We really enjoyed this task and got pretty competitive between ourselves and the rest of the Schools that commented on here!!
• 7b3, Derby High School
•
• This is a good puzzle we'd like to see more like this.
• E Walters, Brigshaw High School
•
• We found 18! We are good!
•

• Stewart, Lake Windemere
•
• Room 17
Year 6/7 class found 16.
• Mr Gregory, Lincolnshire
•
• We found 13! Mr Gregory reckons there definitely are no more than that (but he did miss one out earlier).
• Mrs Taylor, North Muirton
•
• Our P6 class are awesome, we got 21! we love these challenges.
• Trevor Lewis, Nortonthorpe Hall School
•
• We found 27 and then had to give up for time.
• 7 BM1, Harlow
•
• We found 30 but we ran out of time!
• Kirsty . I . Brown, Selkirk, Scotish Borders (Selkirk High School)
•
• This was a really good acivity and it was fun, I didnt do it at school but I did it at home and it was fun, I have a long list of sums that add up to thirty and it was really good, I would like to see more of this!
• Matthew, 3D, Craigslea State School
•
• For a total of 40, I had these 14:
1. 27, 7, 6
2. 21, 11, 8
3. 15, 14, 11
4. 24, 10, 6
5. 22, 11, 7
6. 24, 9, 7
7. 26, 8, 6
8. 23, 9, 8
9. 25, 8, 7
10. 21, 10, 9
11. 22, 10, 8
12. 27, 8, 7
13. 23, 10, 7
14. 24, 9, 7.
• STEVE EASTOP, MARGATE, KENT. UK
•
• The 4x4 grid that came up for me comprised of the numbers: 3,6,7,8,9,10,13,14,14,15,15,16,17,18,19 and 32.
I've found the following 13 triplets that total 32 (without double counting): (as there are two 13s and two 14s in the grid)
(3,10,16)
(3,13,16)
(3,14,15)
(6,7,19)
(6,8,18)
(6,9,17)
(6,10,16)
(7,8,17)
(7,9,16)
(7,10,15)
(8,9,15)
(8,10,14) and
(9,10,13).
• P6/7, St Elizabeths
•
• We loved this problem and managed to find 26 solutions!
• S3, Speyside High School
•
• We found 13 all together and had good fun too. Thank you!
• Star Primary,
•
• Year 6 at Star Primary got 12! :).
• Year 6, AAESS
•
• We enjoyed this activity and found lots of possible answers.
• Mrs Robinson, 8 - 3
•
• We found 35 Y8 St Bernards.
• Mrs Anderson, Newark
•
• We loved it. Pine Y5 got 46 tripllets! Well Done!
• Da Vinci, William Martin Junior School
•
• One student got 30 possible answers. We enjoyed the activity.
•
• Wow! this is a very good stater of the day. Already my Year 6s have found 29 sums, which Im really proud of! Fantastic!
• Mr Gray, Buscksburn Maths, Twitter
•
• Came up with loads of combinations. Even more when we realised the website let us use the same number twice.
• Mr Ian Stevenson, Orched Head Primary School
•
• Triplets are the best thing I have shown my class.

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.

If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:

Excellent, I would like to see more like this
Good, achieved the results I required
Satisfactory
Didn't really capture the interest of the students
Not for me! I wouldn't use this type of activity.

This starter has scored a mean of 3.4 out of 5 based on 112 votes.

Previous Day | This starter is for 10 December | Next Day

 25+5+6 20+7+9 19+8+9 21+7+8 23+6+7 22+6+8 24+5+7 7+14+15

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.

What more could the inquisitive adult want for Christmas? This book makes a cosy, interesting read in front of the fire on those cold winter evenings. more...

## 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 Christmas gift for anyone.

You have to hold iPad Air to believe it. It’s just 7.5 millimeters thin and weighs just one pound. The stunning Retina display sits inside thinner bezels, so all you see is your content. And an incredible amount of power lies inside the sleek enclosure. So you can do so much more. With so much less. more...

## 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.

## Have you read Craig's book yet?

Craig Barton must surely be the voice of Mathematics teachers in the UK. His wonderful podcasts interviewing the industry experts have culminated in this wonderful book. As Craig says: "I genuinely believe I have never taught mathematics better, and my students have never learned more. I just wish I had known all of this twelve years ago..." more...

"How I wish I'd taught Maths" is an extraordinary and important book. Part guide to research, part memoir, part survival handbook, it’s a wonderfully accessible guide to the latest research on teaching mathematics, presented in a disarmingly honest and readable way. I know of no other book that presents as much usable research evidence on the dos and don’ts of mathematics teaching in such a clear and practical way. No matter how long you have been doing it, if you teach mathematics—from primary school to university—this book is for you." Dylan Wiliam, Emeritus Professor of Educational Assessment, UCL.

## Casio Classwiz Calculator

There is currently a lot of talk about this new calculator being the best in its price range for use in the Maths classroom. The new ClassWiz features a high-resolution display making it easier to view numerical formulas and symbols but it isn't a graphical calculator as such (it has the capacity to draw graphs on your smart phone or tablet, via a scannable QR code and an app).

As well as basic spreadsheet mode and an equation solving feature you also get the ability to solve quadratic, cubic or quartic polynomial inequalities and the answer is given just as it should be written down, using the correct inequality symbols!

This calculator has a high-performance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more...

## Hello World

You are buying a (driverless) car. One vehicle is programmed to save as many lives as possible in a collision. Another promises to prioritize the lives of its passengers. Which do you choose?

Welcome to the age of the algorithm, the story of a not-too-distant future where machines rule supreme, making important decisions – in healthcare, transport, finance, security, what we watch, where we go even who we send to prison. So how much should we rely on them? What kind of future do we want?

Hannah Fry takes us on a tour of the good, the bad and the downright ugly of the algorithms that surround us. In Hello World she lifts the lid on their inner workings, demonstrates their power, exposes their limitations, and examines whether they really are an improvement on the humans they are replacing.

This calculator has a high-performance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more...

 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).

Transum.org/go/?Start=December10

Here is the URL which will take them to student version of this activity.

Transum.org/go/?to=Triplets

For Students:

For All: