4400 Higher November 2009 Paper 4 Q11

EdexcelHigherOld spec4 marksProperties of Numbers

(a) Find the Highest Common Factor of 64 and 80 (2)

(b) Find the Lowest Common Multiple of 64 and 80 (2)

Mark scheme (a)

Scheme	Marks
\(64 = 2^6\) and \(80 = 2^4 \times 5\) or 1, 2, 4, 8, 16, 32, 64 and 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 or \(2^4\)	M1
16	A1
	(2)

Notes

M1: Need not be product of powers; accept products or lists ie 2, 2, 2, 2, 2, 2 and 2, 2, 2, 2, 5
Prime factors may be shown as factor trees or repeated division

A1: cao

Scheme	Marks
\(2^6 \times 5\) oe eg \(2^4 \times 4 \times 5\), \(16 \times 4 \times 5\) or 64, 128, 192, 256, 320 and 80, 160, 240, 320	M1
320	A1
	(2)
	(4 marks)