4MA0 Foundation January 2014 Paper 2R Q4

EdexcelFoundationOld spec6 marksSequences

4 Here is a sequence of patterns made from small triangular tiles.

Pattern numbers 1 to 4 made from small triangular tiles

The table shows the number of tiles used to make each pattern.

Pattern number1234
Number of tiles14916
(a) How many tiles are used to make
(i) Pattern number 5
(ii) Pattern number 10
(2)

A pattern in the sequence is made from 144 tiles.

(b) Find the Pattern number for this pattern. (1)
(c) On the diagram below, shade \(\dfrac{2}{3}\) of Pattern number 3.
Pattern number 3, unshaded
(1)

Some tiles in Pattern number 4 are shaded.

Pattern number 4 with 4 tiles shaded
(d) What fraction of Pattern number 4 is shaded?
Give your fraction in its simplest form. (2)
‹ Previous96 of 109 in SequencesNext ›