Edexcel IGCSE Math A 1.7.C Proportional Reasoning

Practise finding unit values, scale factors and missing quantities in cost, population, mixture and ratio contexts.

Exam points

find a unit amount before scaling to the required number of items
set up a multiplier or division when one population or quantity is a fraction of another
use ratio parts and the total volume to calculate a missing mixture quantity

[Maximum number: 2]

The table shows the populations of five countries.

Table for Question 1.7.C The process of proportionality to evaluate unknown question 1 — Edexcel IGCSE Math A Higher

Given that
$\text{population of Fiji}=\frac{1}{k}\times\text{population of Sweden}$

work out the value of k.
Give your answer correct to the nearest whole number.

$k=\ldots$

Working:
$k=\frac{9.9\times10^6}{9.1\times10^5}$

Final answer:
k=11

M1 for the correct division. A1 for 11; allow 10.8 to 11 inclusive. If M1 not scored, B1 for an answer of $\frac{1}{11}$ with 10.8 to 11 allowed for the denominator.

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1.7.C The process of proportionality to evaluate unknown question 1