CAIE IGCSE Mathematics Extended E1.16.1 Calculate with money.

Practise calculating total costs, deposits, instalments and journey charges, including reversing a cost calculation to find time.

Exam points

calculate totals from deposits and equal payments, showing the given final amount
apply distance and time charges to find a journey cost or reverse the calculation

[Maximum number: 5]

(a)

The total cost of a taxi journey is calculated as
- $ 0.50 per kilometre
plus
- $ 0.40 per minute.

[ 5 ]

(i)

Calculate the total cost of a journey of 32 km that takes 30 minutes.
$

[ 2 ]

28

2

M1 for $32 \times 0.50+30 \times 0.40$

(ii)

The total cost of a journey of 100 km is $ 98.

Show that the time taken is 2 hours.

[ 3 ]

$\begin{aligned}98-100\times0.5&=48\\48\div0.4&=120\text{ minutes}=2\text{ hours}\end{aligned}$
M3

M1 for $100\times0.50+x\times0.40=98$
M1 for 50+0.4x=98 or 0.4x=48
M1 for $x=\frac{48}{0.4}=120\text{ min}=2\text{ hr}$
OR equivalent staged method

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E1.16.1 Calculate with money. question 1

Question (a)

Question (i)

Question (ii)