Hot Numbers

A Maths Starter Of The Day

0

1

2

3

4

5

6

7

8

9

Using the digits 0 to 9 to form five 2 digit numbers which are all multiples of three.

For pupils:

Hot Numbers Interactive

Hot Numbers

If you have access to computers, iPads or slates, this is the interactive version of this activity.
The short web address is:
www.transum.org/go/?to=hot

For teachers:

Hot Number Challenges

Hot Number Challenges

The ten Hot Number challenges ready to project onto your whiteboard.
The short web address is:
www.transum.org/go/?to=hotchallenges


Share

Topics: Starter | Number

  • 9 Yellow, St Peters High School
  •  
  • "very good for a warm up activity" "kept mind active" from students.
    The whole class could access this and 6 students were totally engrossed for virtually the whole lesson, wanting to move to the higher levels
  • Y5, St Nicholas
  •  
  • We found another solution: 12, 36, 90, 87, 54.
    We enjoyed it! It was fun!
  • Mr Shepherd, St Lawrence Academy, Scunthorpe
  •  
  • Interesting extension for smart groups: How many different answers are there? This can be worked systematically by groups who know the "digit sum" rule for multiples of 3.
    WORKING IT OUT (try it yourself first if you like):
    The 1, 4 and 7 can only go with a 2 or 5 or 8
    There are 6 possible pairings of these numbers.
    Each of these two digit numbers can be reversed, so there are 2 cubed combinations once the 2-digit numbers are chosen.
    The remaining digits 0,3,6,9 can be paired 3 ways.
    In each case, a pairing contains a zero, and we assums that the zero cannot go first in a 2-digit number, so there are only two possibilities once pairings are chosen.
    Overall then, the number of combinations (answers), ignoring their position on the answer grid (which would multiply the answer by 5 factorial), is:
    6 x 2cubed x 3 x 2 = 288.
  • Matthew, 3D, Craigslea State School
  •  
  • I found these:
    15, 24, 30, 69 and 78.
  • Transum,
  •  
  • Thanks to everyone for their comments. Yes this certainly is a worthwhile activity providing access to pupils of all abilities. It also lends itself to extension questions such as that suggested by Mr Shepherd (all 288 possible solutions are provided in the answer section below). If your pupils have access to computers, ipads etc it's a good idea to use the self-checking, multi-level version of this activity available here: Hot Numbers Interactive. Enjoy.

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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 3.1 out of 5 based on 194 votes.


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Answers

12, 30, 45, 69, 78
12, 30, 45, 69, 87
12, 30, 45, 78, 96
12, 30, 45, 87, 96
12, 30, 48, 57, 69
12, 30, 48, 57, 96
12, 30, 48, 69, 75
12, 30, 48, 75, 96
12, 30, 54, 69, 78
12, 30, 54, 69, 87
12, 30, 54, 78, 96
12, 30, 54, 87, 96
12, 30, 57, 69, 84
12, 30, 57, 84, 96
12, 30, 69, 75, 84
12, 30, 75, 84, 96
12, 36, 45, 78, 90
12, 36, 45, 87, 90
12, 36, 48, 57, 90
12, 36, 48, 75, 90
12, 36, 54, 78, 90
12, 36, 54, 87, 90
12, 36, 57, 84, 90
12, 36, 75, 84, 90
12, 39, 45, 60, 78
12, 39, 45, 60, 87
12, 39, 48, 57, 60
12, 39, 48, 60, 75
12, 39, 54, 60, 78
12, 39, 54, 60, 87
12, 39, 57, 60, 84
12, 39, 60, 75, 84
12, 45, 60, 78, 93
12, 45, 60, 87, 93
12, 45, 63, 78, 90
12, 45, 63, 87, 90
12, 48, 57, 60, 93
12, 48, 57, 63, 90
12, 48, 60, 75, 93
12, 48, 63, 75, 90
12, 54, 60, 78, 93
12, 54, 60, 87, 93
12, 54, 63, 78, 90
12, 54, 63, 87, 90
12, 57, 60, 84, 93
12, 57, 63, 84, 90
12, 60, 75, 84, 93
12, 63, 75, 84, 90
15, 24, 30, 69, 78
15, 24, 30, 69, 87
15, 24, 30, 78, 96
15, 24, 30, 87, 96
15, 24, 36, 78, 90
15, 24, 36, 87, 90
15, 24, 39, 60, 78
15, 24, 39, 60, 87
15, 24, 60, 78, 93
15, 24, 60, 87, 93
15, 24, 63, 78, 90
15, 24, 63, 87, 90
15, 27, 30, 48, 69
15, 27, 30, 48, 96
15, 27, 30, 69, 84
15, 27, 30, 84, 96
15, 27, 36, 48, 90
15, 27, 36, 84, 90
15, 27, 39, 48, 60
15, 27, 39, 60, 84
15, 27, 48, 60, 93
15, 27, 48, 63, 90
15, 27, 60, 84, 93
15, 27, 63, 84, 90
15, 30, 42, 69, 78
15, 30, 42, 69, 87
15, 30, 42, 78, 96
15, 30, 42, 87, 96
15, 30, 48, 69, 72
15, 30, 48, 72, 96
15, 30, 69, 72, 84
15, 30, 72, 84, 96
15, 36, 42, 78, 90
15, 36, 42, 87, 90
15, 36, 48, 72, 90
15, 36, 72, 84, 90
15, 39, 42, 60, 78
15, 39, 42, 60, 87
15, 39, 48, 60, 72
15, 39, 60, 72, 84
15, 42, 60, 78, 93
15, 42, 60, 87, 93
15, 42, 63, 78, 90
15, 42, 63, 87, 90
15, 48, 60, 72, 93
15, 48, 63, 72, 90
15, 60, 72, 84, 93
15, 63, 72, 84, 90
18, 24, 30, 57, 69
18, 24, 30, 57, 96
18, 24, 30, 69, 75
18, 24, 30, 75, 96
18, 24, 36, 57, 90
18, 24, 36, 75, 90
18, 24, 39, 57, 60
18, 24, 39, 60, 75
18, 24, 57, 60, 93
18, 24, 57, 63, 90
18, 24, 60, 75, 93
18, 24, 63, 75, 90
18, 27, 30, 45, 69
18, 27, 30, 45, 96
18, 27, 30, 54, 69
18, 27, 30, 54, 96
18, 27, 36, 45, 90
18, 27, 36, 54, 90
18, 27, 39, 45, 60
18, 27, 39, 54, 60
18, 27, 45, 60, 93
18, 27, 45, 63, 90
18, 27, 54, 60, 93
18, 27, 54, 63, 90
18, 30, 42, 57, 69
18, 30, 42, 57, 96
18, 30, 42, 69, 75
18, 30, 42, 75, 96
18, 30, 45, 69, 72
18, 30, 45, 72, 96
18, 30, 54, 69, 72
18, 30, 54, 72, 96
18, 36, 42, 57, 90
18, 36, 42, 75, 90
18, 36, 45, 72, 90
18, 36, 54, 72, 90
18, 39, 42, 57, 60
18, 39, 42, 60, 75
18, 39, 45, 60, 72
18, 39, 54, 60, 72
18, 42, 57, 60, 93
18, 42, 57, 63, 90
18, 42, 60, 75, 93
18, 42, 63, 75, 90
18, 45, 60, 72, 93
18, 45, 63, 72, 90
18, 54, 60, 72, 93
18, 54, 63, 72, 90
21, 30, 45, 69, 78
21, 30, 45, 69, 87
21, 30, 45, 78, 96
21, 30, 45, 87, 96
21, 30, 48, 57, 69
21, 30, 48, 57, 96
21, 30, 48, 69, 75
21, 30, 48, 75, 96
21, 30, 54, 69, 78
21, 30, 54, 69, 87
21, 30, 54, 78, 96
21, 30, 54, 87, 96
21, 30, 57, 69, 84
21, 30, 57, 84, 96
21, 30, 69, 75, 84
21, 30, 75, 84, 96
21, 36, 45, 78, 90
21, 36, 45, 87, 90
21, 36, 48, 57, 90
21, 36, 48, 75, 90
21, 36, 54, 78, 90
21, 36, 54, 87, 90
21, 36, 57, 84, 90
21, 36, 75, 84, 90
21, 39, 45, 60, 78
21, 39, 45, 60, 87
21, 39, 48, 57, 60
21, 39, 48, 60, 75
21, 39, 54, 60, 78
21, 39, 54, 60, 87
21, 39, 57, 60, 84
21, 39, 60, 75, 84
21, 45, 60, 78, 93
21, 45, 60, 87, 93
21, 45, 63, 78, 90
21, 45, 63, 87, 90
21, 48, 57, 60, 93
21, 48, 57, 63, 90
21, 48, 60, 75, 93
21, 48, 63, 75, 90
21, 54, 60, 78, 93
21, 54, 60, 87, 93
21, 54, 63, 78, 90
21, 54, 63, 87, 90
21, 57, 60, 84, 93
21, 57, 63, 84, 90
21, 60, 75, 84, 93
21, 63, 75, 84, 90
24, 30, 51, 69, 78
24, 30, 51, 69, 87
24, 30, 51, 78, 96
24, 30, 51, 87, 96
24, 30, 57, 69, 81
24, 30, 57, 81, 96
24, 30, 69, 75, 81
24, 30, 75, 81, 96
24, 36, 51, 78, 90
24, 36, 51, 87, 90
24, 36, 57, 81, 90
24, 36, 75, 81, 90
24, 39, 51, 60, 78
24, 39, 51, 60, 87
24, 39, 57, 60, 81
24, 39, 60, 75, 81
24, 51, 60, 78, 93
24, 51, 60, 87, 93
24, 51, 63, 78, 90
24, 51, 63, 87, 90
24, 57, 60, 81, 93
24, 57, 63, 81, 90
24, 60, 75, 81, 93
24, 63, 75, 81, 90
27, 30, 45, 69, 81
27, 30, 45, 81, 96
27, 30, 48, 51, 69
27, 30, 48, 51, 96
27, 30, 51, 69, 84
27, 30, 51, 84, 96
27, 30, 54, 69, 81
27, 30, 54, 81, 96
27, 36, 45, 81, 90
27, 36, 48, 51, 90
27, 36, 51, 84, 90
27, 36, 54, 81, 90
27, 39, 45, 60, 81
27, 39, 48, 51, 60
27, 39, 51, 60, 84
27, 39, 54, 60, 81
27, 45, 60, 81, 93
27, 45, 63, 81, 90
27, 48, 51, 60, 93
27, 48, 51, 63, 90
27, 51, 60, 84, 93
27, 51, 63, 84, 90
27, 54, 60, 81, 93
27, 54, 63, 81, 90
30, 42, 51, 69, 78
30, 42, 51, 69, 87
30, 42, 51, 78, 96
30, 42, 51, 87, 96
30, 42, 57, 69, 81
30, 42, 57, 81, 96
30, 42, 69, 75, 81
30, 42, 75, 81, 96
30, 45, 69, 72, 81
30, 45, 72, 81, 96
30, 48, 51, 69, 72
30, 48, 51, 72, 96
30, 51, 69, 72, 84
30, 51, 72, 84, 96
30, 54, 69, 72, 81
30, 54, 72, 81, 96
36, 42, 51, 78, 90
36, 42, 51, 87, 90
36, 42, 57, 81, 90
36, 42, 75, 81, 90
36, 45, 72, 81, 90
36, 48, 51, 72, 90
36, 51, 72, 84, 90
36, 54, 72, 81, 90
39, 42, 51, 60, 78
39, 42, 51, 60, 87
39, 42, 57, 60, 81
39, 42, 60, 75, 81
39, 45, 60, 72, 81
39, 48, 51, 60, 72
39, 51, 60, 72, 84
39, 54, 60, 72, 81
42, 51, 60, 78, 93
42, 51, 60, 87, 93
42, 51, 63, 78, 90
42, 51, 63, 87, 90
42, 57, 60, 81, 93
42, 57, 63, 81, 90
42, 60, 75, 81, 93
42, 63, 75, 81, 90
45, 60, 72, 81, 93
45, 63, 72, 81, 90
48, 51, 60, 72, 93
48, 51, 63, 72, 90
51, 60, 72, 84, 93
51, 63, 72, 84, 90
54, 60, 72, 81, 93
54, 63, 72, 81, 90

There are 288 different solutions.


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

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Graphic Display Calculator

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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...

iPad Air

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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...

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

Aristotle's Number Puzzle

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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.

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

Online Maths Shop

Laptops In Lessons

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).

Laptops In Lessons

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

Transum.org/go/?Start=December2

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

Transum.org/go/?to=Hot

Student Activity

 


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