Standard & Compound Units (Edexcel GCSE Maths: Foundation)

Exam Questions

2 hours44 questions
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
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1 mark

Change 5.3 kilometres into metres. 

............................................. m [1]

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4
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1 mark

Write 3.25pm in the 24-hour clock.

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5
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1 mark

Change 4.6 metres to centimetres.

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

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6
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1 mark

Change 560 metres into kilometres.

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

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7
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1 mark

Change 3670 centimetres to metres.

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

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8
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1 mark

Change 4365 metres into centimetres.

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

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9
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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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10
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1 mark

Change 645 mm into cm.

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

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11
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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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12
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1 mark

George drives 315 km from the café to the airport.
The journey takes 3 hours 30 minutes.

Calculate his average speed.

......................................... km/h

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13
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1 mark

The distance between Madrid and Buenos Aires is 10050km.
Diego’s return flight takes 12 hours 30 minutes.

Calculate the average speed, in km/h, for the return flight.

........................................ km/h 

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14
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2 marks

A speedboat travels at 84 kilometres per hour.

Change this speed into metres per minute.

...................................... m/min

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15
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1 mark

Ivan walks 1.5 km from his home to Kingswood Park.
He takes 20 minutes.


Work out Ivan’s average speed in kilometres per hour.

....................................... km/h

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16
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3 marks

Pressure space equals fraction numerator space Force over denominator Area end fraction

An object exerts a force of 300 N on an area of 5 m2.

Find the pressure on the area, stating appropriate units.

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1
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1 mark

Change 4.37 litres into cubic centimetres.

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

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2
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2 marks

These are the opening times of the 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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3
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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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4
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1 mark

Work out the time 7 hours and 36 minutes before 13 26.

[1]

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5
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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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6
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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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7
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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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8a
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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 

8b
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2 marks

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

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

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9
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3 marks

Ramond walks 2460 metres in 33 minutes.

Work out Ramond’s average speed in kilometres per hour.

........................................ km/h

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10
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2 marks

Kiran leaves home at 9.45 am.
She drives 135 km to visit a friend.
She arrives at her friend’s house at 11.15 am.

Work out her average speed in km/h.

........................................... km/h 

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11
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3 marks

A car travels at a constant speed of 20 m/s.

Work out the time it takes for the car to travel 10 km.
Give your answer in minutes and seconds. 

..................... minutes ..................... seconds

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12
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3 marks

Pressure equals Force over Area

A force, F Newtons, is applied to a rectangle which is 0.8 m wide, and 1.2 m long.

The pressure on the rectangle is 200 N/m2.

Find the value of F.

F = ......................................... N

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13
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3 marks

Density equals Mass over Volume

If an object has a lower density than water, it will float.

A cuboid-shaped block of wood measures 8 cm wide, 20 cm long, and 10 cm high, and has a mass of 1360 grams.

Assuming the density of water is 1 gram per cm3, determine if the block of wood will float or not. 

Show your working clearly.

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1
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4 marks

These are the opening times for a museum.

Monday to Friday      0900 to 1700
Saturday and Sunday 1000 to 1600

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
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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
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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
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2 marks

The month of July has 31 days.

Calculate the number of seconds in the month of July.

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

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4
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2 marks

Find the number of minutes from 1758 to 7.13 pm.

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

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5a
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1 mark

Complete these statements.

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

[1]

5b
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1 mark

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

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6
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2 marks

Complete the statements.

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

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

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7
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2 marks

A shop is open for 6 days each week.
On each day, the shop is open from 09 30 until 13 00 and from 14 15 until 20 30.

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

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

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8a
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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.

8b
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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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9
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1 mark

Change 4.1m3 into cm3.

...............................cm3 

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10
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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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11
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4 marks

The plane flies from Melbourne to Tokyo at an average speed of 783 km/h.
The distance from Melbourne to Tokyo is 8352 km.
The plane leaves Melbourne at 0952 local time.
The local time in Tokyo is 2 hours behind the local time in Melbourne.

Find the local time in Tokyo when the plane arrives.

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12
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5 marks

A car travels at a constant speed of 45 kilometres per hour for 5 minutes.
Each wheel of the car has radius 25 centimetres.

Calculate the number of complete revolutions that a wheel makes during the 5 minutes.

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13
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6 marks

The diagram shows the path of a plane from airport A to airport B.

qp8d-0580-03-paper-3-specimen-2020-cie-igcse-maths

i)
Show that the distance between space A spaceand B is 375km.
[2]
ii)
The plane flies at an average speed of 450km/h.
It leaves A at 1445 and flies directly to B.

Work out the time the plane arrives at B.
[4]

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14
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3 marks

Pressure space equals fraction numerator space Force over denominator Area end fraction

A force of 300 N is exerted on a rectangle of width 20 cm, and length x cm. 

The pressure on the rectangle is 0.6 N/cm2.

Find the value of x.

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15
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3 marks

Density equals Mass over Volume

If an object has a lower density than water, it will float.

A cuboid-shaped block of wood measures 0.2 m wide, 0.2 m long, and 0.1 m high, and has a mass of 3 kilograms.

Assuming the density of water is 1 gram per cm3, determine if the block of wood will float or not. 

Show your working clearly.

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