Edexcel IGCSE Math A 1.10 Applying number Question Bank

Practise applying number to real contexts involving shopping, units, capacity, exchange rates, change, totals and leftover amounts.

Exam points

convert units before adding, subtracting or finding how much is left
use prices, rates and totals to calculate change or an unknown item cost
apply exchange rates, then round down when only whole notes or filled containers count

Covered syllabus points

1.10.A Applying number in everyday life 1.10.B Calculations with metric units 1.10.C Time, money and currency calculations

[Maximum number: 2]

In a warehouse there are two types of shelves, type R and type S.
These two types of shelves are arranged into shelving units that form a sequence of patterns.
Here are the first three terms in the sequence.

Figure for Question 1.10 Applying number question 1 — Edexcel IGCSE Math A Higher

Diagram NOT accurately drawn

The width of each type R shelf is 2.4 m and the width of each type S shelf is 3.5 m

Work out the total width of a shelving unit that has 6 type R shelves.
m

A shelving unit has n type R shelves.
The total width of this shelving unit is W metres.

$6\times2.4+5\times3.5=31.9$

Final answer:
31.9

M1 for the method.

[Maximum number: 4]

Astrid wants to buy some oil.
She can buy the oil from either Dane Oil or Arctic Oil.
Here is information about the price that each company will charge Astrid.

Table for Question 1.10 Applying number question 2 — Edexcel IGCSE Math A Higher

Astrid wants to get the better value for money for the oil.

1 \text { Dollar = 6.57 Krone }

From which company should she buy her oil, Dane Oil or Arctic Oil? You must show your working.

Litres per amount of money route:
$\frac{8.6\times10^5}{770000}=1.1168\ldots\ \text{litres per dollar}$ $\frac{4.2\times10^5}{2500000}=0.168\ \text{litres per Krone}$ $0.168\times6.57=1.10376\ \text{litres per dollar}$

Since $1.1168\ldots>1.10376\ldots$ , Astrid should buy from Arctic Oil.

Equivalent cost per litre route:
$\frac{2500000}{4.2\times10^5}=5.952\ldots\ \text{Krone per litre}$ $\frac{770000}{8.6\times10^5}=0.895\ldots\ \text{dollars per litre}$ $0.895\ldots\times6.57=5.882\ldots\ \text{Krone per litre}$
so Arctic Oil is cheaper per litre.

M1 for a valid litres-per-money or cost-per-litre comparison.
M1 for a correct currency conversion.
A1 for Arctic Oil with relevant comparative figures.

Official markscheme answer image.

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Covered syllabus points

1.10 Applying number question 1

1.10 Applying number question 2