1. The product of two odd numbers is 15.

What are they?

2. The difference between two square numbers is 15.

What are they?

3. The sum of three prime numbers is 33.

What are they?

4. The ratio of two even numbers is 11:4.

What are they?

## A Mathematics Lesson Starter Of The Day

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Topics: Starter | Arithmetic | Number | Puzzles | Ratio

• C. J. Southward, Limehouse Cumbria
•
• In the product question the solutions do not include the double negative
solutions.
• Transum,
•
• Thanks CJ. That has now been allowed for in the answers below.
• 6N, Charnwood Primary School
•
• We really enjoyed this and some of us thought it was easy - However we haven't tried the hard numbers yet!
• Transum,
•
• Click on one of the gold stars below and you will see a bar chart showing how people scored this starter. At the time of writing there were exactly the same number of votes for one as there were for five. This is probably because this starter requires a knowledge of some particular terms and concepts and some pupils will have this knowledge while others are too young to be expected to understand. Originally these starters were aimed at Secondary/High school pupils but they are commonly accessed by Primary school pupils, some only in Year 2!
If you are one of the teachers who scored this page a one, have a look at some of the other starters as there is probably something that will suit your class. There are 366 Starters Of The Day with some additional Advanced Starters being added this month.

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 3.0 out of 5 based on 242 votes.

Previous Day | This starter is for 4 June | Next Day

1. 1 and 15 or 3 and 5 (and their negatives).

2. 1 and 16 or 49 and 64. Could there be any other solutions?

3. 2, 2 and 29 or 3, 7 and 23 or 3, 11 and 19 or 3, 13 and 17 or 5, 5 and 23 or 5, 11 and 17 or 7, 7 and 19 or 7, 13 and 13 or 11, 11 and 11.

4. 22 and 8 or 44 and 16 or 66 and 24 or ...

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 a button below to regenerate another version of this starter from random numbers.

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).

Here a concise URL for a version of this page without the comments.

Transum.org/go/?Start=June4

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

Transum.org/go/?to=what

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