Foundation June 2021 Paper 1 Q23

EdexcelCurrent spec4 marksStandard Form

23 The table shows the populations of five countries.

(a) Work out the difference between the population of China and the population of Germany.
Give your answer in standard form. (2)

Given that

\(\text{population of Fiji} = \dfrac{1}{k} \times \text{population of Sweden}\)

(b) work out the value of \(k\).
Give your answer correct to the nearest whole number. (2)

Mark scheme (a)

Scheme	Marks
\(1.4 \times 10^9 - 8.2 \times 10^7\) or \(1.4 \times 10^9 - 0.082 \times 10^9\) or \(140 \times 10^7 - 8.2 \times 10^7\ (= 131.8 \times 10^7)\)	M1
Working not required, so correct answer scores full marks (unless from obvious incorrect working) Answer: \(1.318 \times 10^9\)	A1
	(2)

M1: or for 1 318 000 000 oe but not in standard form eg \(1318 \times 10^6\) or \(1.318 \times 10^n\) where \(n \neq 9\)

A1: Allow \(1.3 \times 10^9\) or \(1.32 \times 10^9\)

Mark scheme (b)

Scheme	Marks
\(\dfrac{9.9 \times 10^6}{9.1 \times 10^5}\) oe	M1
Working not required, so correct answer scores full marks (unless from obvious incorrect working) Answer: 11	A1
	(2)
	(4 marks)

A1: allow 10.8 – 11 (inclusive)

SC: if M1 not scored, award B1 for an answer of \(\dfrac{1}{11}\) allow 10.8 – 11 for the denominator