MA701 Measurement pretest

1.4km is equivalent to......?

• 1.400m

• 140m

• 140000cm

• 0.000014cm

Answer explanation

There are 1000m in a km and 100cm in a metre. Therefore there are 100,000cm in a km.

582mm in equivalent to.......?

• 5.82cm

• 5.82m

• 0.00582km

• 0.582m

Answer explanation

There are 10mm in a cm and 100cm in a metre. Therefore there are 1000mm in a metre.

Calculate the perimeter of a rectangle with a length of 8cm and a width of 4cm.

Answer explanation

The formula for calculating perimeter of a rectangle is P=2(L + W).

What is the side length of a square with a perimeter of 20m?

Answer explanation

The formula for perimeter o a square is P=4L. Therefore, to calculate the side length of a square, work backwards by dividing the perimeter by 4.

Which of the following would you use to calculate the area of a circle with a diameter of 10cm?

Answer explanation

To find the area of a circle, first find the radius by halving the diameter. Then use the formula for area of a circle A=πr².

Calculate the area of a trapezium with a height of 3cm and parallel sides of 7 and 9cm.

Answer explanation

The area o a trapezium can b found by multiplying half the height by the total of the to parallel sides.

Find the base of a triangle with a height of 5mm and an area of 20mm².

Answer explanation

The base and height of a triangle are always at right angles to each other. To find the base length, multiply the area by 2, then divide by the height.

Calculate the volume of a cylinder with a base radius of 3m and a height of 4m.

Answer explanation

The formula for volume of a cylinder in V=πr²H.

Calculate the volume of a large cube made up of 8 smaller cubes, each with a side length of 2cm.

Answer explanation

Add the smaller side lengths together to get the side length of the larger cube, then use the formula V=L×W×H.

Calculate the height of a rectangular prism with a length of 800cm, width of 3500mm and a volume of 280m³.

Answer explanation

Convert all measurements to the same units first, then substitute what you know into the formula for volume of a rectangular prism before working backwards to find the missing value.