1. The product of two odd numbers is 153.

What are they?

2. The difference between two square numbers is 8.

What are they?

3. The sum of three prime numbers is 31.

What are they?

4. The ratio of two even numbers is 7:4.

What are they?

## A Mathematics Lesson Starter Of The Day

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!
• Ms Robyn, ABCIS In Vietnam
•
• This was fun, the harder numbers made us think! We were very pleased that some of us managed to get the product answer to the 'hard' level without a calculator.

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## Answers

1. 1 and 153 or 3 and 51 or 9 and 17 (and their negatives).

2. 1 and 9. Could there be any other solutions?

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

4. 14 and 8 or 28 and 16 or 42 and 24 or ...

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