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Posts tagged with square numbers

Geometric Squaring for accuracy…


Spot the error in this student’s working: You spotted it? Yes, it is obvious that this student has forgotten to do the last problem correctly and worked out 7 x 2 when they should have done 7 x 7 (source here). Perhaps it is better to think of “Squared Numbers” as geometric squares. After all, […]

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Polygonal Numbers


Numbers that can form polygons are called polygonal numbers. For example, the square numbers 1, 4, 9, 16 and so on form a square.  As shown below, it is easy to see that the 10th square number is a square with 10 rows and 10 columns. This means that the 10th square number is equal to […]

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Numbers in Mathematics


Which lead to a post on Square Numbers. These are numbers which are the squares of 2,3,4,5, etc. Therefore, the set of square numbers will be; 4,9,16,25,36, etc. Which can lead to some interesting discoveries… Click the pic above to investigate this idea and click here for more number ideas and links from this excellent maths […]

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Post Support

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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