4MA0 Foundation June 2014 Paper 1 Q13

EdexcelFoundationOld spec4 marksFractions

(a) Write these fractions in order of size.
Start with the smallest fraction.

\(\dfrac{7}{9} \qquad \dfrac{5}{6} \qquad \dfrac{7}{12} \qquad \dfrac{2}{3}\)

(2)

(b) Show that \(\;\dfrac{4}{9} \div \dfrac{5}{6} = \dfrac{8}{15}\) (2)

Mark scheme (a)

Scheme	Marks
Eg 0.777..., 0.833..., 0.583..., 0.666.... Answer: \(\dfrac{7}{12}, \dfrac{2}{3}, \dfrac{7}{9}, \dfrac{5}{6}\)	B2
	(2)

Notes

B2: For \(\frac{7}{12}, \frac{2}{3}, \frac{7}{9}, \frac{5}{6}\) or for correct decimal equivalents in ascending order (rounded or truncated to at least 3 dp) or for correct fraction equivalents in ascending order (e.g. \(\frac{21}{36}, \frac{24}{36}, \frac{28}{36}, \frac{30}{36}\))
If not B2 then B1 for:
• 3 fractions in correct order or
• 2 fractions correctly converted to decimals (rounded or truncated to 2 dp) or
• 2 fractions expressed as equivalent fractions with denominators of a multiple of 36 or
• \(\frac{5}{6}, \frac{7}{9}, \frac{2}{3}, \frac{7}{12}\)

Mark scheme (b)

Scheme	Marks
\(\dfrac{4}{9} \times \dfrac{6}{5}\) oe	M1
\(\dfrac{24}{45}\) oe	A1
	(2)
	(4 marks)

Notes

M1: or \(\dfrac{0.8}{1.5}\)

A1: dep on M1 awarded. Accept \(\dfrac{8}{15}\) if clear cancelling seen

Alternative

Scheme	Marks
\(\dfrac{8n}{18n} \div \dfrac{15n}{18n}\) for any integer \(n\)	M1
\(\dfrac{8}{15}\) oe	A1

Notes

A1: dep on M1 awarded. Answer must come directly from their method e.g. \(\dfrac{16}{36} \div \dfrac{30}{36}\) must be followed by \(\dfrac{16}{30}\) for M1A1