Flow Rates and Compound Units worksheet
10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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4 marks
A rainwater barrel has a hole in it. The graph shows the volume of water left in the rainwater barrel as it leaks out at a steady rate.
(a)How much water was in the rainwater barrel at the start?
(b)Work out the rate at which the water is leaking out.
Give your answer in litres per minute.
(c)How long does it take for the rainwater barrel to empty completely?
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5 marks
Two taps, \(A\) and \(B\), are used to fill two identical tanks. Each tank holds \(24\) litres.
Both taps are turned on at the same time. The graph shows the volume of water in each tank.
(a)Work out the rate at which tap \(A\) fills its tank.
Give your answer in litres per minute.
(b)Work out the rate at which tap \(B\) fills its tank.
Give your answer in litres per minute.
(c)Which tap fills its tank at the greater rate?
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5 marks
(a)
A stack of pallets stands on the floor. It presses down on the floor with a force of \(4800\) N.
The base of the stack of pallets is a rectangle measuring \(4\) m by \(3\) m.
Find the pressure the stack of pallets exerts on the floor.
Give your answer in N/m\(^2\).
(b)A different stack of pallets presses down with a force of \(2160\) N.
The pressure it exerts on the floor is \(240\) N/m\(^2\).
Find the area of the base of this second stack of pallets.
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5 marks
(a)
A tank is a cuboid measuring \(3\) m by \(2\) m by \(2\) m.
\(1\) m\(^3\) holds \(1000\) litres of water.
Work out the capacity of the tank in litres.
(b)Water flows into the tank at a rate of \(50\) litres per minute.
Work out how long the tank takes to fill.
Give your answer in hours.
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5 marks
(a)
Water comes out of a outlet at a rate of \(350\) cm\(^3\) per second.
\(1\) litre is \(1000\) cm\(^3\).
Find the rate in litres per minute.
(b)The outlet runs for \(16\) minutes.
Find the volume of water it delivers.
Give your answer in litres.
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4 marks
A water butt has a hole in it. The graph shows the volume of water left in the water butt as it leaks out at a steady rate.
(a)How much water was in the water butt at the start?
(b)Find the rate at which the water is leaking out.
Give your answer in litres per minute.
(c)How long does it take for the water butt to empty completely?
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5 marks
Two taps, \(A\) and \(B\), are used to fill two identical tanks. Each tank holds \(60\) litres.
Both taps are turned on at the same time. The graph shows the volume of water in each tank.
(a)Work out the rate at which tap \(A\) fills its tank.
Give your answer in litres per minute.
(b)Work out the rate at which tap \(B\) fills its tank.
Give your answer in litres per minute.
(c)Which tap fills its tank at the greater rate?
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5 marks
(a)
A garden shed stands on the floor. It presses down on the floor with a force of \(4800\) N.
The base of the garden shed is a rectangle measuring \(2\) m by \(4\) m.
Work out the pressure the garden shed exerts on the floor.
Give your answer in N/m\(^2\).
(b)A different garden shed presses down with a force of \(840\) N.
The pressure it exerts on the floor is \(120\) N/m\(^2\).
Work out the area of the base of this second garden shed.
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5 marks
(a)
A tank is a cuboid measuring \(4\) m by \(3\) m by \(1\) m.
\(1\) m\(^3\) holds \(1000\) litres of water.
Find the capacity of the tank in litres.
(b)Water flows into the tank at a rate of \(25\) litres per minute.
Calculate how long the tank takes to fill.
Give your answer in hours.
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5 marks
(a)
Water comes out of a outlet at a rate of \(300\) cm\(^3\) per second.
\(1\) litre is \(1000\) cm\(^3\).
Work out the rate in litres per minute.
(b)The outlet runs for \(11\) minutes.
Work out the volume of water it delivers.
Give your answer in litres.
Answers
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(a) \(22\ \text{litres}\)
(b) \(1\ \text{litre per minute}\)
(c) \(22\ \text{minutes}\) -
(a) \(3\ \text{litres per minute}\)
(b) \(2\ \text{litres per minute}\)
(c) Tap A -
(a) \(400\ \text{N/m}^2\)
(b) \(9\ \text{m}^2\) -
(a) \(12000\ \text{litres}\)
(b) \(4\ \text{hours}\) -
(a) \(21\ \text{litres per minute}\)
(b) \(336\ \text{litres}\) -
(a) \(24\ \text{litres}\)
(b) \(1\ \text{litre per minute}\)
(c) \(24\ \text{minutes}\) -
(a) \(5\ \text{litres per minute}\)
(b) \(10\ \text{litres per minute}\)
(c) Tap B -
(a) \(600\ \text{N/m}^2\)
(b) \(7\ \text{m}^2\) -
(a) \(12000\ \text{litres}\)
(b) \(8\ \text{hours}\) -
(a) \(18\ \text{litres per minute}\)
(b) \(198\ \text{litres}\)