CAIE IGCSE Mathematics Extended E1.16.1 Calculate with Money Questions

Work through Extended CAIE IGCSE Mathematics money problems by combining fixed charges, variable rates and payment amounts.

Exam points

calculate totals and costs in money contexts using correct currency units
combine fixed charges and variable rates for journeys or purchases
set out monetary calculations and round final costs appropriately

[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 ]

$\begin{aligned}98-100\times0.5&=48\\48\div0.4&=120\text{ minutes}=2\text{ hours}\end{aligned}$
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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CAIE IGCSE Mathematics Extended E1.16.1 Calculate with Money Questions question 1

Question (a)

Question (i)

Question (ii)