4MA0 Higher January 2016 Paper 3R Q8

EdexcelHigherOld spec8 marksPercentages

8 In 1981, the population of India was 683 million.
Between 1981 and 1991, the population of India increased by 163 million.

(a) Express 163 million as a percentage of 683 million.
Give your answer correct to 3 significant figures. (2)

In 2001, the population of India was 1028 million.
Between 2001 and 2011, the population of India increased by 17.6%

(b) Increase 1028 million by 17.6%
Give your answer to the nearest million. (3)

In 2001, the population of India was 1028 million.
Between 1971 and 2001, the population of India increased by 87.6%

Scheme	Marks
\(\dfrac{163\;(\text{million})}{683\;(\text{million})} \times 100\)	M1
23.9	A1
	(2)

Mark scheme (b)

Scheme	Marks
\(\dfrac{17.6}{100} \times 1028\) (million) or 180.(928) (million)	M1
\(\dfrac{17.6}{100} \times 1028\) (million) + 1028 (million)	M1
1209	A1
	(3)

Notes

M1: M2 for 1028 (million) × 1.176 oe

A1: Accept 1208 – 1209

Mark scheme (c)

Scheme	Marks
\(\dfrac{1028\;(\text{million})}{187.6} \times 100\) oe	M2
548	A1
	(3)

Notes

M2: M1 for \(\dfrac{1028\;(\text{million})}{187.6}\) or 5.47(9744136…) rounded or truncated to at least 3SF or 1.876 or (100 + 87.6)(%) or 187.6(%) or 187.6% = 1028 (million) or 1.876\(x\) = 1028 (million) oe or \(\dfrac{x}{1028\;(\text{million})} = \dfrac{187.6}{100}\) oe

A1: awrt 548