## Welcome to H3 Maths

Blog Support for Growing Mathematicians

## Posts tagged with shapes

### Please try this at home or school

January20

Take a humble door knob and shine a strong flashlight to reveal a geometric shape. What is it?

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### Shapes

March10

Have you ever wondered why we put a round pizza into a square box and cut it into triangles? Don’t worry – most of us never think about it. But here is the exploration – check out what other shapes pizzas come in and find the most economic design.

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### Mathematical Ilusion

July3
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### How many 5-sided tile patterns can we make?

August19

Until recently, there were just 14 known convex pentagons (nonregular, five-sided shapes with outward-pointing angles) that could “tile the plane” (be arranged with flush sides on a flat surface, with no gaps or overlaps). But last month, some thirty years since the 14th was discovered, a 15th was identified. The convex pentagon in question and […]

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### Platonic Shapes and Nets

August12

Platonic Solids are five regular polyhedra (“regular” because they are made up of faces that are all the same), and are called “Platonic” since they were known at the time of Plato (427-347 BC).  This link to these shapes also has printable nets for constructing them… a great, practical way to get hooked into some […]

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### Constructing a Parallelogram

May13

This excellent visual guide shows you how to construct a Parallelogram – a shape with two opposite pairs of parallel sides. I remember a friend of my father who, when giving marching orders to his army group, said, “Keep those arms paralysed to the ground!” Of course, he meant “…parallel to the ground” but I […]

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### Mathematics Puzzles

November19

I don’t know about you, but solving puzzles is great mathematical fun, including the logic ones. This site by Maths is Fun has a range of great puzzles for you to try in your spare time!

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#### Post Support

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

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)?]