## Welcome to H3 Maths

Blog Support for Growing Mathematicians

### Tour with Altitude

July22

As Bradley Wiggins rides (on a bike with better wheels than the one above) to a British win in the Tour de France, here are some questions to do with the hill stages of this incredible race:

Category 3 climbs last approximately 5 kilometres have an average grade of 5 percent. How many metres will they increase in altitude?

If Category 2 climbs are the same length as Category 3 climbs, and 500 metres, what is their percentage grade of incline?

Category 1 climbs last 20 kilometres with an average 6 percent grade. Therefore, they will ascend how many metres?

Note: Category H climbs are the hardest including an altitude difference of at least 1,000 metres (3,280 feet) from start to finish and have an average grade of at least 7 percent.

See post support for the answers…

by posted under Uncategorized | Comments Off on Tour with Altitude

#### 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)?]