A bottle contains \(1.25\text{ L}\) of water. After pouring out \(450\text{ mL}\) and then adding \(200\text{ mL}\) back in, how many milliliters of water are in the bottle?
Key Stage 2 (KS2) · Mathematics
Measurement: Practice Questions
5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Measurement.
A right-angled triangle has two sides that are perpendicular to each other, measuring \(8\text{ cm}\) and \(15\text{ cm}\). What is the area of this triangle?
An open-top rectangular tank has a length of \(40\text{ cm}\), a width of \(25\text{ cm}\), and a height of \(30\text{ cm}\). It is filled with water to a depth of \(15\text{ cm}\). If a solid metal cube with a side length of \(10\text{ cm}\) is placed into the tank and sinks to the bottom, what is the new height of the water level?
An equilateral triangle has a perimeter of \(27\text{ cm}\). What is the length of each side?
A composite shape is formed by placing a square with sides of \(5\text{ cm}\) on top of a rectangle that is \(10\text{ cm}\) long and \(5\text{ cm}\) wide, such that their \(5\text{ cm}\) sides coincide perfectly. What is the total area of the combined shape?
A rectangular swimming pool has a length of \(20\text{ m}\) and a width of \(15\text{ m}\). If the total area of the pool and its surrounding concrete path is \(450\text{ m}^2\), what is the area of the concrete path alone?
Write your answer out first, then check it against the worked solution.
A rectangular prism has a length of \(10\text{ cm}\), a width of \(6\text{ cm}\), and a height of \(4\text{ cm}\). If it is cut into two identical smaller rectangular prisms by a horizontal cut halfway up the height, what is the volume of each smaller prism?
Write your answer out first, then check it against the worked solution.
A rectangular field has an area of \(200\text{ m}^2\). If the width of the field is \(8\text{ m}\), what is the perimeter of the field?
Write your answer out first, then check it against the worked solution.
A large water tank contains \(4.5\) liters of water.
(a) Convert the volume of water into milliliters (ml).
(b) If a gardener uses \(850\text{ ml}\) to water some flowers and \(1.2\text{ liters}\) to water a vegetable patch, how many milliliters of water are used in total?
(c) How many milliliters of water are left in the tank?
Write your answer out first, then check it against the worked solution.
A rectangular plot of land measures \( 32\text{ m} \) by \( 18\text{ m} \).
(a) What is the area of the plot in square meters?
(b) If a square pond with a side length of \( 6\text{ m} \) is built inside the plot, how much land area remains for the garden?
(c) What is the perimeter of the remaining garden area if the pond is in the very center?
Write your answer out first, then check it against the worked solution.
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