12 original questions, 37 marks. Type your answers below for an instant mark and a score (algebra in any equivalent form, e.g. 2sqrt(3) or 2√3), or print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.
Leah buys 3 bags of flour. Each bag has a mass of 1.25 kg. Work out the total mass of the flour in grams.
4 marks
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a) 3200 gb) 4.5 mc) 2500 mld) 3750 g
2
Change 3.5 m2 to cm2.
1 mark
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35000 cm2
3
A model of a car is made to a scale of 1 : 24.
The model is 18 cm long. Work out the length of the real car in metres.
The real car is 1.44 m high. Work out the height of the model in centimetres.
3 marks
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a) 4.32 mb) 6 cm
4
Here is part of a bus timetable.
Bus station
07:45
08:15
08:50
Market Square
07:58
08:28
09:03
Park Road
08:06
08:36
09:11
Oakfield School
08:19
08:49
09:24
How many minutes does the 07:45 bus take to get from the Bus station to Oakfield School?
Kemi gets on the bus at Market Square. She must be at Oakfield School by 08:45. Write down the time of the latest bus she can catch from Market Square.
How many minutes are there between the first bus and the second bus at Park Road?
3 marks
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a) 34 minutesb) 07:58c) 30 minutes
5
The diagram shows the speedometer of a car.
Write down the speed shown on the speedometer.
Use 5 miles = 8 kilometres to change this speed to km/h.
3 marks
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a) 70 mphb) 112 km/h
6
A block of pine wood has a volume of 240 cm3.
The density of the pine wood is 0.65 g/cm3.
Work out the mass of the block.
2 marks
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156 g
7
Amber runs 15.6 km in 1 hour 30 minutes.
Work out her average speed in km/h.
3 marks
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10.4 km/h
8
Mr Hussain drives 135 miles on a motorway at an average speed of 45 mph.
Work out how long this part of the journey takes.
He then drives for 1 hour 20 minutes at an average speed of 60 mph.
Work out the distance he drives in this part.
Work out his average speed for the whole journey. Give your answer correct to 1 decimal place.
4 marks
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a) 3 hoursb) 80 milesc) 49.6 mph
9
A cheetah runs 150 m in 5 seconds.
Work out its average speed in metres per second.
Change your answer to kilometres per hour. Use speed in km/h = speed in m/s × 60 × 601000
3 marks
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a) 30 m/sb) 108 km/h
10
Water flows out of a pipe at a rate of 0.9 m3 per minute.
1 m3 = 1000 litres
Work out the rate of flow in litres per second.
4 marks
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15 litres per second
11
A go-kart is moving at 4 m/s. It speeds up with an acceleration of 2.5 m/s² for 6 seconds.
Use the formulae
v = u + ats = ut + 12at2
where u is the starting speed, v is the final speed, a is the acceleration, t is the time and s is the distance travelled.
Work out the speed of the go-kart after 6 seconds.
Work out the distance it travels in the 6 seconds.
4 marks
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a) 19 m/sb) 69 m
12
A paperweight is made of brass with a volume of 60 cm3.
The density of brass is 8.4 g/cm3.
A delivery box can hold a total mass of at most 4.5 kg.
Work out the greatest number of these paperweights the box can hold.
3 marks
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8
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Every question here is original and written by Robinson Tuition. It follows the Key Stage 3 programme of study; Year 9 sheets end with extension questions for top sets.