Hot Estimates

Starter of The Day Transum Mathematics Topics

L Khaira, Letchworth
A fab starter, just out of interest is there an exact answer?
Transum,
The exact answer appears below for Transum subscribers. Answers to all the starters, online exercises, puzzles and a lot more are also available to those who have subscribed.
Miss P, London
It would be nice to have the answers to the questions. I'm sure you know as teacher, we have enough on our plate, let alone having to go and find the answers to resources.
However, i must say, having these resources are fab!
Tom, Ecclesbourne
We got an answer of 700 by projecting on to Smart board making a rectangle which covered 1/35 th of the whole and finding the average number of chillis in the rectangle when randomly placed.
Tom and Year 8 at Ecclesbourne
Tom, Ecclesbourne
Sorry done it again with Year 12 and using more samples got a mean of 16 therefore 16 X 35 = 560, probably a more accurate estimate.
This is an excellent starter, thank you
Strattttty, John Flamsteed, Derbyshire
We split it into 64 rectangles. We then made a random sample of 8 of the rectangles, finding a mean of 13.5.
So 64 x 13.5 = 864 !!!!!!!!

(y10 stats group)
Top Maths Class!, Withins
We divided it into 24 boxes. Counted the number in three boxes and then multiplied it by 8, it gave us 640!
RAAS,
We are a group of year 8 students from Royal Alexandra and Albert School in Surrey and are desperate to know how many chillies are in the picture. Please put us out of our misery!!! We reckon there are about 763.
Top set year 10, Ludlow
Trick question! One green chilli, one parsnip and the rest are carrots. So the answer is one.
N M, EHS
S2 Maths Class do not like this question as there is no exact answer!
Jon O'Neill, Brixham
My expert year 10 set 7 maths class have divided the picture to find 1/25th. which gave us a mean of 19. so we think there is 475.

(what stays hot in the fridge? a Chilli!!!!)
Ross Roberton, International School Of Luxembourg
Our class calculated a Mean of 428.3 on our first guess. After a longer time considering stragies, our second guess produced a mean of 733.3.
We are still waiting/hoping someone is going to count them for an exact answer!
Grade 9, Luxembourg.
Mystery Man, Seaford College
I divided the squares equally into 24 squares and then I chose a box that was representative and tried to count them.I got the number 37 and then x it by 24 to give me 888.
Mrs J.Thompson, London
We have enough on our plates as teachers and some of the students don't belive us so their should be some answers.
Miss Deans S1's, Carnoustie High School
Great starter. Our answer was 665 chillies in the picture.
We thought that the starter got our brains thinking and Innes thought it was a piece of chilli cake!
Ryan was the closest with 698.
Miss Hill, Year 9
Josh and Ben had a go at this while waiting for the rest of the class. They split it into 16 boxes, but when reading the comments, they agreed that doing a few boxes then averaging would make it more accurate. A good starter for getting conversations started brains thinking.
We thought just over 500!
Mrs Sinclair's Year 8, St Bede's, Ormskirk
Another great Starter of the Day. My Year 8 really love your puzzles! We averaged 681 with 19 pupils. Rebekah thought it was 1 big one zoomed in to look like lots of little ones.
Oliver, Star Primary School
I loved this starter!!!! Our class copied and pasted the picture on to our smart board. We then circled each pepper and came with the awnser of 650!!!
Grade 7, International School Of Bearn
We divided the picture in 64 rectangles and counted about 11 chillies in each of them. Our estimate is then 64 times 11 = 704 chillies!
Mr Lewis, Aston Fields Middle School
We think there might be over a thousand chillies!
Year 11, Welshpool High School Powys
Jordan and Spencer split the white board into 10cm squares. One square had 23 chillies. They reckoned there were 48 squares on the whiteboard. 48 x 23 = 1104. Sorted! Oh and one green one.
Miss H And Co!, BMS
You're all wrong! We divided the picture into 30 even rectangles. We calculated the mean number of chilli's with a sample of 4 squares. We then multiplied this by 30. We got 660!!
7K2y, Kettlethorpe High School
Our answers ranged from 309 to 2122!! What is the correct solution please?
Lea Beadoux, Cavendish Close Junior School
There is only 1 green one. Has anybody noticed that.
P. Shouksmith, St. Andrew's School
We think there are 692 by splitting the area into 40 rectangles and then averaging the number in each rectangle.

Year 7, Welshpool High School Powys
Daniel measured the length and width of the rectangle. Times the answers. They measured 1 chillie as 10 cm then divided and got an answer of 494. Sammie & Rebecca drew 10 cm squares and counted 16 & 14. they reckoned 48 squares. timesed and got 720.
Year 8, Welshpool High School
We had lots of guesses from 1 to 999. Kate drew a 10 cm square and Charlotte counted 16 chillies. Jake and Matthew measured the large rectangle as 80 by 60 cm. We then went 48 x 16 and got 768.
7B2, The Vyne Commuity School
We took a mean of the classes estimates and got 704.
Miss Wade, Haywood Engineering College
8T thought 580.
We split the picture into eight and estimated by counting, 4 of the rectangles, then doubled the answer.
Mr Lockett, Finham Park School
Top set Year 10. Answers ranged from 1 to 3698!!! Using a grid we estimated 630 chillies.
Ollie, Longfield Academy
I think It's 648.
Year 10 Tara, Max & Jody., Shapwick School, Somerset
We thought there were just over 1000. We split the chillies into a 48 square grid, then used averages to aid our estimate.
Grade 3 H, Muscat, Oman
We think there are 800 chillis. What we did is divide the picture into 16 squares. We then estimated what one square has which was about 50. We then multiplied the number by 16 and got the answer.
P7 And P6, Mrs Crozier
We think there are 1250 chillies, although one person thinks the answer is 1 green chilli!
Mr Lewis And The Jersey Gals, Jersey
We tried two methods. We counted along the base and the side and multiplied and got 1026 ( but the base was quite thick with chillies so this may have been an overestimate).
We also counted one square ( about 1/30th of the rectangle ) and counted 26 chillies making 30 x 26 = 780 which we think is better.
Year 7 Set 1, Surbiton High School
We each took an estimate using a grid then took the average (mean) of everyones answers. We think there are 452 chillies.
Jay L,
I am not a teacher,anyway,I think the answer is 697. If you wanted to find out how I worked it out:
I estimated the area of the square(I could not find a ruler so I estimated the length.
10cm in width and 15cm in length so I times 10 and 15 and I got an answer I got was 150cm.Then I found an area of a chilli and I got 0.28cm squared;0.2cm * 1.4. Next I divided 150 by 0.28 and I got 535.71 which I rounded the number and I got 536. Finally I times 536 by 1.3 which I got 697.(I times it 1.3 because some chillies overlap each other) I hope this information useful for you.:).
Year 4 ,, Trinity Primary School, Wolverhampton
Children in year 4 split the picture into 16 rectangles, making an estimate in one square of 35. Then we multiplied 35 x 16 = 560.
We really enjoy using your starters!
Green Group, Neerim District SC, Australia
We estimated 836 by dividing it up into 16 squares and counting half of these squares.
What do you get when you a tablet and a chilli?
A chill pill.
Year 6, All Saints CE Primary School, Stibbard
Year 6 divided the chillies into 16 rectangles. We counted 30 in one section and multiplied it by 16 = 480 chillies. It got us thinking!
5K, Angel Road Junior School
We divided the picture in to a 4x4 grid (16 sections). Then we counted the chillies in one square, which, came to 41.
We then multiplied 41 x 16 and our answer was 656.
Maths Intervention Group 8U, Red House Academy
Year 8, Cannot compute, computer doesn't know. Can you give us the answer please!!!!!!!
Andrea Savva, Brixham College
Our very noisy class think that there are 464 chillies in the picture!
We divided the picture into 30 pieces and counted how many there were then added them all up. We only counted half chillies as a half which is why the other estimates are too high. That Jon O'Neill's teacher from 2009 is very clever!!
St Peters Year 6, Shoreham
We created a grid of 32 over the picture and then counted the chilles in one area of the grid. Then we multiplied the number of chillies by 32. Our best guess is 1100.
SLK Bali, Indonesia
Greetings from grade 5G Sekolah Lentera Kasih Bali, Indonesia.
We tried to solve the problem by dividing the picture into 25 sections and we estimated that there are 22 chillies in each section. Then we multiplied 25 by 22 to get our final estimation of the number of the chillies. We think there are 550 chillies.

[Transum: Greetings to all of you over in Bali. Thanks for sharing your chili counting techniques. Hope you enjoyed the challenge.]
Mrs Clark & Her Awesome Yr 8 Top Set, British International School Phuket
Our Year 8 class divided the rectangle into 48 squares. Nika then found an average per square of 14.
48 x 14 = 672 chillies!!!
Charlie was the closest estimator when he initially guessed 700, well done Charlie!
Mr Benbow, Pinewood School
Year 5 Set 1 think it is 625. We have estimated the length and width of the rectangle as approximately 25 chillies each side. Therefore total number of chillies = 25 x 25 = 625.
Octagons, Houghton Regis Academy
We looked closely at the picture and came up with an estimate of 364.82 (we have been working with decimals!).
P Milton, Bedford Preparatory School
My class of year 6's are happy that the answer is probably over but near to 600.
8S4, Joseph Whitaker School
We split it into 16 rectangles and counted 50 in one of the rectangles... multiplied it by 16 and got 800!!! :-D.

Tommy Ostrowski, The Madeley Way High School
It is 666 with the green one being the Devil's chilli!
4AV, Calmore Junior School
In 4AV we think that there are 1000 chillies in the picture.
Mrs Alison Bigsy, Marley's Academy
We think that this is mega. By using 16 grids we think it is 672 (16 x 42).
Sir William Wandforth Wacademy, Mrs Bef. Allen
My head spinning just looking at it...mind you it was a heavy weekend!
Northgate High, 9L2
We think it is 672. And we are right!!
4W, Havergal College
Our Grade 4 class came up with multiple strategies, some of which were very similar to the older students! We are super smart awesome!
Mr Winter's Maths Group, Kuala Lumpur
First we divided the shape up into 64ths.
Then we counted the number of chillis in one of the squares.
After that we used the grid method to work out the answer and we found that there were 768 chillis.
It was great to see that we were only 5 away from the estimate of the school in Surrey.
Thanks for the challenge.
Miss Robbins, Green Hill Lower
I thought these starters really help get the kids ready and interested for maths, for example when it's last lesson on a Friday, all they really want to do is sit and mess around but with these starters they get people involved. Our class isn't the top, so these do help as a challenge, but a fun one. These starters also help me to see who is achieving more and who needs extra help, just by getting them to do it and answer on the whiteboards. Thanks Transum! This really is a great website, but the only thing is I just wish I found it sooner!
Topaz Class, Meeching Valley, Newhaven
We worked it out two ways. Firstly like area and then by dividing it into 64 squares and counting how many chilies were in each square. Both methods gave us an estimate of 600 - 650.
Miss Sharrock And Year 6, St Monica's
We split the picture up into small fractions (32'ths), estimated 3 of these, worked out the mean, then multiplied to get an estimate of 736.

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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... #ad

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... #ad

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... #ad

Apple iPad Pro

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.

The redesigned Retina display is as stunning to look at as it is to touch. It all comes with iOS, the world's most advanced mobile operating system. iPad Pro. Everything you want modern computing to be. more... #ad

Before giving an iPad as a Christmas gift you could add a link to iPad Maths to the home screen.

Craig Barton's Tips for Teachers

Teaching is complex. But there are simple ideas we can enact to help our teaching be more effective. This book contains over 400 such ideas." more... #ad

"The ideas come from two sources. First, from the wonderful guests on his Tips for Teachers podcast - education heavyweights such as Dylan Wiliam, Daisy Christodoulou and Tom Sherrington, as well as talented teachers who are not household names but have so much wisdom to share. Then there's what he has learned from working with amazing teachers and students in hundreds of schools around the world.

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... #ad

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... #ad

A Compendium Of Mathematical Methods

How many different methods do you know to solve simultaneous equations? To multiply decimals? To find the nth term of a sequence?

A Compendium of Mathematical Methods brings together over one hundred different approaches from classrooms all over the world, giving curious mathematicians the opportunity to explore fascinating methods that they've never before encountered.

If you teach mathematics to any age group in any country, you are guaranteed to learn lots of new things from this delightful book. It will deepen your subject knowledge and enhance your teaching, whatever your existing level of expertise. It will inspire you to explore new approaches with your pupils and provide valuable guidance on explanations and misconceptions. more... #ad

Math with Bad Drawings

I had been tutoring the wonderful Betsy for five years. When the day came for our last ever session together before the end of her Year 13, I received this beautiful book as a gift of appreciation.

This a very readable book by Ben Orlin. I'm really enjoying the humour in the writing and the drawings are great.

Ben Orlin answers maths' three big questions: Why do I need to learn this? When am I ever going to use it? Why is it so hard? The answers come in various forms-cartoons, drawings, jokes, and the stories and insights of an empathetic teacher who believes that mathematics should belong to everyone. more... #ad

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

Maths T-Shirts

Maths T-Shirts on Amazon

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 link. As an Amazon Associate I earn a small amount from qualifying purchases which helps pay for the upkeep of this website.

Educational Technology on Amazon


	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).