GCSE Secondary Maths Age 13-17 - Ratio, Proportion & Rates of Change: Mass, Density, Volume - Explained

The video tutorial explains how to calculate the density of an alloy made by mixing two metals, A and B, each weighing 150 grams. It covers the concepts of mass, density, and volume, using a triangle method to solve the problem. The tutorial walks through calculating the volume of each metal and then determining the density of the alloy. It concludes with a discussion on the marks awarded for the problem and encourages practice with similar questions.

What is the total mass of the alloy formed by mixing metals A and B?

• 150 grams

• 300 grams

• 450 grams

• 600 grams

Which formula is used to calculate the density of the alloy?

• Density = Mass / Volume

• Density = Volume x Mass

• Density = Mass x Volume

• Density = Volume / Mass

How do you calculate the volume of a metal given its mass and density?

• Volume = Density x Mass

• Volume = Mass / Density

• Volume = Mass x Density

• Volume = Density / Mass

What is the volume of metal A if its mass is 150 grams and density is 19.3 grams per cm³?

• 7.77 cm³

• 8.77 cm³

• 10.77 cm³

• 9.77 cm³

What is the volume of metal B if its mass is 150 grams and density is 8.9 grams per cm³?

• 15.85 cm³

• 16.85 cm³

• 17.85 cm³

• 18.85 cm³

What is the calculated density of the alloy?

• 10.18 grams per cm³

• 11.18 grams per cm³

• 13.18 grams per cm³

• 12.18 grams per cm³

Why is it important to use the full display on the calculator during calculations?

• To save time

• To avoid using a calculator

• To ensure accuracy

• To make calculations easier