Measurement Matters
What does the prefix kilo- mean?
1000 or 103
Find the area of a rectangle measuring 8 cm × 5 cm.
40cm2
How many faces does a rectangular prism have?
6 faces
State the general formula for the volume of a prism.
V=Across-section x length
When the curved surface of a cylinder is unwrapped, what 2D shape does it form?
rectangle
A ruler has markings every 1mm. What is its precision and absolute error?
Precision = 1 mm; absolute error = ±0.5 mm
Find the circumference of a circle with radius 5 cm, to 2dp
31.42cm
A cube has side length 4 cm. Find its surface area.
96cm2
Find the volume of a rectangular prism measuring 8 cm × 5 cm × 4 cm.
160cm3
Find the curved surface area of a cylinder with radius 3 cm and height 8 cm, to 2 dp
150.80cm2
A measurement is 50 cm with an absolute error of 1 cm. Find the percentage error.
2%
Find the area of a 90∘ sector with radius 8 cm, to 2dp
50.27cm2
A rectangular prism measures 5 cm × 3 cm × 2 cm. Find its surface area.
62cm2
A triangular prism has a triangular cross-section with base 6 cm and height 4 cm. The prism is 10 cm long. Find its volume.
120cm3
Find the total surface area of a closed cylinder with radius 3 cm and height 5 cm, to 2dp
150.80cm2
Arrange these prefixes from smallest to largest: milli, nano, micro, centi.
nano → micro → milli → centi
Find the perimeter of a 60∘ sector with radius 12 cm, to 2 dp
36.57cm
A triangular prism has a 3–4–5 right-triangle cross-section and is 10 cm long. Find its surface area.
132cm2
An L-shaped cross-section is made from a 10 cm × 8 cm rectangle with a 4 cm × 3 cm rectangle removed. The prism is 15 cm long. Find its volume.
1020cm3
A cylindrical tank has radius 5 cm and height 20 cm. Find its capacity in litres to 2dp
1.57L
A mass is measured as 2.4 kg using a scale with precision 0.1 kg. Calculate the percentage error to 2dp.
2.08%
A 12 cm × 8 cm rectangle has a circle of radius 3 cm cut out of it. Find the remaining area to 2dp
63.73cm2
A closed cylinder has radius 5 cm and height 12 cm. Find its total surface area, to 1dp
534.1cm2
A prism has a 120∘ sector cross-section with radius 6 cm and length 15 cm. Find its volume.
565.49cm3
A solid consists of a 12 cm × 8 cm × 5 cm rectangular prism with a cylinder of radius 3 cm and height 10 cm attached. Find its total volume to 2dp
762.74cm3