1. The product of two odd numbers is 189.

What are they?

2. The difference between two square numbers is 7.

What are they?

3. The sum of three prime numbers is 15.

What are they?

4. The ratio of two even numbers is 3:8.

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
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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 434 votes.

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

1. 1 and 189 or 3 and 63 or 7 and 27 or 9 and 21 (and their negatives).

2. 9 and 16. Could there be any other solutions?

3. 2, 2 and 11 or 3, 5 and 7 or 5, 5 and 5.

4. 6 and 16 or 12 and 32 or 18 and 48 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.

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## Texas Instruments Nspire 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 gift for a special occasion 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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Click the images above to see all the details of these items and to buy them online.

 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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