CIE IGCSE Maths: Core

Topic Questions

Syllabus Edition

First teaching 2021

Last exams 2024

|

Time, Currency & Conversions

1
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1 mark

Work out the number of hours in 3 days.

..........................hours

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2
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2 marks

Sami travels to work by bus.
The bus leaves the bus station at 0735.

i)
It takes Sami 23 minutes to walk from his house to the bus station.

Work out the latest time Sami can leave his house.
[1]
ii)
The bus journey takes 41 minutes.

Work out the arrival time of the bus.
[1]

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3
Sme Calculator
1 mark

Thor changes 40 000 Icelandic Krona into dollars when the exchange rate is 1 krona = $0.0099 .

Work out how many dollars he receives.

$ ................................................

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4
Sme Calculator
1 mark

Change 5.3 kilometres into metres. 

............................................. m 

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5
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1 mark

Write 3.25pm in the 24-hour clock.

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6
Sme Calculator
1 mark

Change 4.6 metres to centimetres.

.............................................. cm 

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7
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1 mark

Change 560 metres into kilometres.

.............................................. km 

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8
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1 mark

Change 3670 centimetres to metres.

.........................................m

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9
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1 mark

Change 4365 metres into centimetres.

......................................... cm 

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10
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1 mark

A mathematics lesson starts at 1105.
The lesson lasts for 75 minutes.

Work out the time that the lesson ends.

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11
Sme Calculator
1 mark

Change 645mm into cm.

................................... cm

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12
Sme Calculator
1 mark

The exchange rate between dollars and euros left parenthesis € right parenthesis space is space $ 1 space equals space € 0.88.

Change $ 350 into euros.

€...................

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13
Sme Calculator
1 mark

One morning, Marcia works from 0820 to 11 15.

Find how long she works for.

Give your answer in hours and minutes.

.................... h .................... min

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14
Sme Calculator
2 marks

In Tokyo, Jeremy buys a bracelet for 2050 yen.
The exchange rate is 1 yen = $0.0125 .

Calculate the price of the bracelet in dollars.
Give your answer correct to the nearest dollar.

$ .................................................

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15
Sme Calculator
2 marks

Here is part of a timetable for trains going from Lexford Station to Mosshead Station.

Lexford 09 14 0947 1021 11 15 1148
Crowton 0926 09 59 1033 1127 12 00
Doniton Halt 09 42 1015 10 49 11 43 1216
Mosshead 10 01 1034 11 08 12 02 12 35

i)
Work out the number of minutes the 0914 train takes to travel from Lexford to Mosshead.

........................... min [1]

ii)
Freda must arrive at Mosshead by 1130.
Write down the latest time she can catch a train from Lexford.
[1]

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16
Sme Calculator
3 marks

A museum’s opening times are shown in this table.

Day Opening times
Monday to Thursday 0900 to 17 00
Friday 0830 to 18 00
Saturday 0900 to 19 00
Sunday Closed

Work out how many hours in a week the museum is open for.

........................ hours

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17
Sme Calculator
3 marks

The table shows the times of the high and low tides.

Day 1st
high tide
1st
low tide
2nd
high tide
2nd
low tide
Monday 0030 06 09 13 12 1835
Tuesday 0130 07 20 14 22 1952
Wednesday 0243 08 36 1537 21 06
Thursday 03 58 09 41 1644 2207
Friday 0500 10 35 17 37 2258

i)
Write down the time of the 2nd high tide on Wednesday using the 12-hour clock.

[1]

ii)
Work out the time between the two low tides on Thursday.

.............. h .............. min [1]

iii)
The surfing activity starts 1 1 half hours before the high tide on Tuesday afternoon.

Write down the time that the surfing activity starts.
[1]

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1
Sme Calculator
4 marks

These are the opening times for a museum.

Monday to Friday      0900 to 1700
Saturday and Sunday 10 00 to 16 00

During opening hours the museum has 4 security guards working.
Each guard works a maximum of 30 hours each week.

Work out the smallest number of guards needed each week.

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2a
Sme Calculator
2 marks

Diego flies from Madrid to Buenos Aires.
His flight leaves at 20 55 and arrives at 03 50 local time.
The local time in Buenos Aires is 5 hours behind the local time in Madrid.

Work out, in hours and minutes, the time the flight takes.

................... h ................... min 

2b
Sme Calculator
1 mark

Diego changes 200 euros into Argentine Peso.
The exchange rate is 1 euro = 24.8 pesos.

Work out how many pesos he receives.

....................................... pesos 

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3
Sme Calculator
4 marks

A chef buys some cheese from France.
200g of cheese costs 3.45 euros.
The exchange rate is $1 = 0.84 euros.

Work out the maximum mass of cheese the chef can buy with $150.
Give your answer in kilograms, correct to 1 decimal place.

............................................ kg 

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4
Sme Calculator
2 marks

The month of July has 31 days.

Calculate the number of seconds in the month of July.

.................................... seconds

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5
Sme Calculator
2 marks

A ticket to a football match costs $20.

Calculate the cost of the ticket in rupees when the exchange rate is 1 rupee = $0.016 .

...................................... rupees 

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6
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2 marks

Find the number of minutes from 1758 to 7.13 pm.

........................................ min

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7a
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1 mark

Complete these statements.

6 m is the same length as ..............................mm.

7b
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1 mark

7000 cm2 is the same area as ..............................m2.

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8
Sme Calculator
2 marks

Complete the statements.

3.5kg = ..................................... g

1.4m2 = ..................................... cm2

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9
Sme Calculator
2 marks

A shop is open for 6 days each week.
On each day, the shop is open from 0930 until 1300 and from 14 15 until 2030.

Work out the total number of hours the shop is open in one week.

.......................................... hours 

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10a
Sme Calculator
4 marks

A plane leaves Karachi at 1530 to fly to Bangkok.
The distance is 3840 km.

The plane flies at an average speed of 720 km/h.
The local time in Bangkok is 2 hours ahead of the local time in Karachi.

Find the local time in Bangkok when the plane arrives.

10b
Sme Calculator
2 marks

In Bangkok a watch costs 2610baht.
The exchange rate is $1 = 34.8 baht.

Find the cost of the watch in dollars.

$.................................................... 

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11
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3 marks

Jamie buys a clock for the café from Japan for 9395 yen.
The exchange rate is $1 = 110.27 yen.

Work out the cost of the clock in dollars, correct to the nearest cent.

$ ..............................................

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12
Sme Calculator
4 marks
$1 = 0.88 euros

£1 = 1.15 euros

Zach changes $575 into euros.
He spends 45% of the euros in France.
He changes the euros he does not use into pounds (£) to spend in England.

Work out how many pounds he receives.

£ ................................................... 

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13
Sme Calculator
1 mark

Change 4.1m3 into cm3.

...............................cm3 

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14
Sme Calculator
3 marks

Xavier goes on holiday to Europe and changes his $600 into euros (€).
He spends €325 whilst he is on holiday.
When he gets home he changes the euros he has left back into dollars.

The exchange rate is $1 = €0.864 .

Work out how many dollars he has left after his holiday.
Give your answer correct to the nearest cent.

$ ............................... 

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15
Sme Calculator
4 marks

On the internet, Pranay sees a grey jacket for 165 euros (€) and a blue jacket for $180.
These are the exchange rates.

table row cell € 1 space end cell equals cell space 76.05 space rupees space end cell row cell 1 space rupee space end cell equals cell space $ 0.0152 end cell end table

Work out which jacket is the cheapest and by how many rupees.

The .................. jacket is cheapest by .................. rupees

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16
Sme Calculator
2 marks

Seven students want to join the school diving club.
Some information about these students is recorded in the table below.

Name Month and year
of birth
Height
(metres)
Distance each
student can
swim (metres)
Arj November 2004 1.62 200
Biva October 2006 1.43 500
Cala February 2006 1.53 1500
Dainy January 2007 1.56 1000
Elu December 2005 1.64 600
Ful August 2006 1.52 1000
Gani January 2006 1.46 1000

To join the diving club you must be

  • at least 12 years old in March 2018

and

  • at least 150 centimetres tall

and

  • able to swim at least 0.5 kilometres.

Write down the names of the students who can join the club.

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1
Sme Calculator
2 marks

These are the opening times of a café.

Monday to Friday 8am to 6pm
Saturday 9.30 am to 3pm
Sunday Closed

Work out the total number of hours the café is open in one week.

........................................ hours

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2
Sme Calculator
2 marks

Levante changes 24650 Hungarian forints to dollars.
The exchange rate is $1 = 290 forints.

Calculate how many dollars Levante receives.

$ ...................................................

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3
Sme Calculator
4 marks

This table shows the opening hours of the café.

Day Opening hours
Monday to Thursday 0830 to 17 00
Friday and Saturday 0830 to 19 00
Sunday 0900 to 18 00

i)
Work out the total number of hours the café is open in one week.

.......................... hours [2]

ii)
Lena is in the café for 40 hours each week.
Ron is in the café when Lena is not there.

Calculate the percentage of the total opening hours that Ron is in the café each week.

.................................% [2]

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4
Sme Calculator
2 marks

Change 600 euros into dinars when the exchange rate is 1 euro = 0.429 dinars.
Give your answer correct to the nearest dinar.

......................... dinars 

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5
Sme Calculator
1 mark

Change 568 000cm into metres.

.................................m

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6
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1 mark

Change 4.37 litres into cubic centimetres.

..........................cm3

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7
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1 mark

Sean is the manager of a museum.

He buys a Chinese pot costing 1200 yuan.
The exchange rate is $1 = 6.4 yuan.

Work out the cost of this pot in dollars.

$ .................................................

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8
Sme Calculator
1 mark

A train from Woodton to Northley takes 6 hours 25 minutes.
The train leaves Woodton at 19 46.

Work out the time the train arrives at Northley.

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9
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1 mark

Work out the time 7 hours and 36 minutes before 1326.

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10
Sme Calculator
3 marks

The table shows part of a bus timetable.

Town Hall 1015 1035 1055 1115
City Gate 1032 1052 1112 1132
Beacon Hill 1058 1118 1138 1158
Kingswood Park 1110 1130 1150 1210

i)
Yana leaves home at 1050.
She takes 14 minutes to walk to the bus stop at City Gate.

At what time does she reach the bus stop?
[1]
ii)
She gets on the next bus at City Gate and travels to Kingswood Park.

At what time does this bus arrive at Kingswood Park?
[1]
iii)
Work out how many minutes the bus takes to get from City Gate to Kingswood Park.
........................................ min [1]

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11
Sme Calculator
2 marks

Rashid changes 30 000 rupees to dollars when the exchange rate is $1 = 68.14 rupees.

How many dollars does he receive?

$ ................................................... 

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12
Sme Calculator
2 marks

Musa has a glass that holds 250ml of water.
He drinks 5 of these glasses of water.
He fills his glass from a 2-litre bottle of water.

Work out how much water is left in the bottle.
Give your answer in millilitres.

............................................... ml 

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13
Sme Calculator
2 marks

Peter works these hours each week at a café.

Day Time
Monday 0830 to 16 00
Tuesday 1000 to 17 00
Thursday  0830 to 16 30
Saturday 0800 to 18 30

Work out the number of hours he works in one week.

...................................... hours 

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14a
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1 mark

A machine always takes 5 minutes to paint an 80 metre white line on a road.

Work out the number of metres painted in 45 minutes.

........................................... m

14b
Sme Calculator
2 marks

Work out the number of minutes taken to paint a 2.8 km line.

........................................ min 

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15
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2 marks

A tourist changes $500 to euros (€) when the exchange rate is €1 = $1.0697.

Calculate how many euros he receives.

€ ..................................

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16a
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3 marks

A cinema is open from 1330 to 2315 every day.

Work out how long the cinema is open in one week.
Give your answer in hours and minutes.

...................... h ................min 

16b
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3 marks
i)
A film lasts for 85 minutes.
It starts at 1940.

Find the time when the film ends.

[1]

ii)
Another film lasts for 2 hours 45 minutes.
It finishes 10 minutes before the closing time of 2315.

Find the time that it starts.
[2]

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17a
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1 mark

Change 6.54 kilometres into metres.

...............................m 

17b
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1 mark

Change 7850 space cm cubed into litres.

............................. litres 

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18
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4 marks

Georgiana travels on two trains.
The first train goes from Redtown to Southford.
The second train goes from Southford to Teignley.
She has written down some information about the times of her trains.

q6b-058031-mayjune2018-cie-igcse-maths-core

i)
Write 1345 using the 12-hour clock.

[1]

ii)
Work out how long the first train should take to travel from Redtown to Southford.
Give your answer in hours and minutes.

.............. h .............. min [1]

iii)
The first train arrives at Southford 46 minutes late.
By how many minutes has Georgiana missed her second train?
............................min [2]

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