A rectangular investigation

1
A rectangular investigation

• Middle School
• Adrian Sparrow
• www.ibmaths.com

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Lowest common multiple
Highest common factor
Find the LCM of each of these numbers
Find the HCF of each of these numbers
1. 3, 5
1. 8, 12
15
4
2. 80, 24
8
2. 6, 9
18
3. 13, 5, 2
3. 13, 7
130
1
132
4. 11, 6, 4
4. 93, 12, 15
3
5. 10, 7, 8
5. 72, 12, 15
560
3
3
Investigation into rectangles ... remember that
squares are rectangles
Draw a rectangle add a diagonal from corner to
corner count how many squares the diagonal goes
through.
Be careful as you draw the diagonal line. You
should use a very well sharpened pencil.
Now make a table to show all your results.
Do some more of your own and make a table of at
least another 8 rectangles (12 altogether).
Can you find a rule or pattern?
Try lots of different sizes and dimensions.
4
If you have done 12 rectangles and have no idea
you may need some hints .........
Add the rows and column dimensions.
Try thinking about either HCF or LCM.
OK, just the HCF.
Think about the rowcolumn and the HCF.
Solution Add the row and the column, then take
away the HCF of the row and the column.