11 Plus Exams Forum

I was wondering if someone can please help with these questions:

1)Give the precise mathematical name of the three shapes described below:

a) I am a quadrilateral with two pairs of opposite sides of the same length. None of my angles are right angles
b) I am three-dimensional and every point on my surface is at the same distance away from a fixed point

2) When tiling the square wall of my kitchen, I use red and blue square tiles all of the same size. In the pattern all the tiles are red apart from those on the two diagonals which are blue. If I use 37 blue tiles, how many red tiles are needed?

Habs 2003 & 2006

Many thanks for your help

b is a sphere, a is parallelogram..

haven;t worked out the tiles yet!
diagram?

Josa wrote: 2) When tiling the square wall of my kitchen, I use red and blue square tiles all of the same size. In the pattern all the tiles are red apart from those on the two diagonals which are blue. If I use 37 blue tiles, how many red tiles are needed?

Ok, two diagonals means there are 2 blue on each row apart from the centre row. so total of

(37-1)/2 = 18 rows with two blue tiles + the centre row = 19

so the square = 19 * 19 = 361 total tiles

red tiles = 361-37=324

Thank you so much yoyo123 and hermanmunster.

Josa wrote:Thank you so much yoyo123 and hermanmunster.

what a team...the Hinge and Brackett of Elevenplusexams

Too right Evadne, a splendid duet!

Love Hilda