Reach for the Star | GCSE Mathematics

L066: Speed density and pressure

Objective

Use speed, density and pressure with consistent units.

Calculator: Calculator allowed where labelled; non-calculator reasoning remains required.

Visual model for Speed density and pressure
Points route: Connect 2 · Share 2 · Apply 6 · Review 3 · Stretch 2 · Deep Challenge 3. Record your score honestly after you have checked your answer.

Recall

Retrieve the key fact or method needed for speed density and pressure.

Core practice

A solid has density 7.8 g/cm³ and volume 25 cm³. Find mass.

Reasoning

Pressure doubles while force is constant. What happened to contact area? Explain algebraically.

Exam-style

Solve an exam-style problem involving speed density and pressure. Show working, include a check and interpret your answer.

WWW / EBI

Recall & Review: feedback and extension integration

Lesson L066: Speed density and pressure

Objective: Use speed, density and pressure with consistent units.

60-minute structure: 0-7 Connect & Check; 7-14 Share; 14-25 Present/model; 25-44 Apply route choice/practice; 44-52 independent exam-style check; 52-60 Recall & Review, WWW/EBI and next step.

What Went Well (WWW)

I identified the correct reference quantity, ratio, rate or multiplier and kept the units and proportional relationship clear.

Even Better If (EBI)

I will state the whole or reference quantity, show the multiplier or unit-rate step and check whether the result is sensible in context.

Stretch and deep challenge

Stretch: A solid has density 7.8 g/cm³ and volume 25 cm³. Find mass.

Deep challenge: Pressure doubles while force is constant. What happened to contact area? Explain algebraically.