4MA0 Foundation June 2015 Paper 1 Q9

EdexcelFoundationOld spec5 marksSequences

9 Here is a sequence of patterns made from short sticks and long sticks.

The short sticks make squares and the long sticks are diagonals of the squares.

Pattern number 1: one square with a down diagonal; Pattern number 2: two squares with down and up diagonals; Pattern number 3: three squares with down, up and down diagonals
(a) In the space below, draw Pattern number 4 (1)
(b) Complete the table.
Pattern number12345
Total number of sticks5913
(1)
(c) Find the total number of sticks in Pattern number 7 (1)
(d) Work out the number of short sticks in Pattern number 12 (1)
A square with a down diagonal and a square with an up diagonal
(e) How many up diagonals are there in Pattern number 21? (1)
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