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Measurement & Geometry · Guided Practice

Using Formulae

8 questions with answers and video solutions. Try each one before revealing the answer.

1
Use the formula v=u+at\displaystyle v = u + at to calculate v\displaystyle v when u=3\displaystyle u = 3, a=2\displaystyle a = 2 and t=5\displaystyle t = 5.
Video solution coming soon
2
The area of a triangle is A=12bh\displaystyle A = \frac{1}{2}bh.
Calculate A\displaystyle A when b=12\displaystyle b = 12 cm and h=7\displaystyle h = 7 cm.
Video solution coming soon
3
Body Mass Index is calculated using BMI=massheight2\displaystyle \text{BMI} = \frac{\text{mass}}{\text{height}^2}, with mass in kilograms and height in metres.
A patient has a mass of 78\displaystyle 78 kg and a height of 1.75\displaystyle 1.75 m.
Calculate the patient's BMI, correct to 1 decimal place.
Video solution coming soon
4
Density is calculated using density=massvolume\displaystyle \text{density} = \frac{\text{mass}}{\text{volume}}.
An object has a mass of 240\displaystyle 240 g and a volume of 30\displaystyle 30 cm3\displaystyle ^3.
Calculate its density.
Video solution coming soon
5
Pressure is calculated using pressure=forcearea\displaystyle \text{pressure} = \frac{\text{force}}{\text{area}}.
A force of 4500\displaystyle 4500 newtons acts on an area of 1.5\displaystyle 1.5 m2\displaystyle ^2.
Calculate the pressure.
Video solution coming soon
6
Average speed is calculated using speed=distancetime\displaystyle \text{speed} = \frac{\text{distance}}{\text{time}}.
A journey of 210\displaystyle 210 km is made at an average speed of 84\displaystyle 84 km/h.
Calculate the time taken.
Video solution coming soon
7
2024 P2 Q2
(2, 1)3 Marks

(a) A snooker ball is a sphere with a diameter of 5.2 cm.

Sphere with a diameter of 5.2 cm

Calculate the volume of the snooker ball.

(b) The density of an object can be calculated using the formula below.

Density=massvolume\displaystyle Density = \frac{mass}{volume}

The mass of the snooker ball is 142 grams.
Calculate the density of the snooker ball.
Give your answer in grams per cubic centimetre.

8
2025 P2 Q1
2 Marks

A Body Mass Index (BMI) is calculated using mass in kilograms and height in metres.
It is calculated using the formula:

BMI=massheight2\displaystyle \text{BMI} = \frac{\text{mass}}{\text{height}^2}

A patient's mass is 93.5 kilograms and their height is 182 centimetres.
Calculate the BMI of the patient.

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