Formula Substitution and Algebra

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Maths Quiz - Formulas and Equations (F) (Questions)

Learn GCSE Foundation formulas. Substitute values, rearrange equations, and choose correct units. Apply area, perimeter, Pythagoras, and speed = distance ÷ time with sensible rounding.

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Fascinating Fact:

In bike repair, Pythagoras says hypotenuse² = a² + b². A right triangle with legs 6 and 8 has hypotenuse √(36 + 64) = 10.

In GCSE Maths (Foundation), formulas link quantities like lengths, areas, volumes, and speed. You’ll substitute numbers, keep units consistent, and rearrange to make a chosen variable the subject with clear algebraic steps.

Key Terms

Formula: A rule using symbols, e.g., A = πr² or v = u + at.
Subject of the formula: The variable isolated, e.g., from V = lwh to h = V⁄(lw).
Substitution: Replacing letters with values (with units) before calculating.

Frequently Asked Questions (Click to see answers)

How do I rearrange a formula safely?

Do the same operation to both sides and reverse the order of operations. For example, from V = lwh, divide by lw to get h = V⁄(lw).

What units should I use with area and volume?

Area uses square units (cm², m²). Volume uses cubic units (cm³, m³) or capacity (litres). Convert measurements first, then substitute.

How do I estimate to check a formula answer?

Round inputs to 1–2 significant figures and recompute. If the estimate is close, the original answer is likely sensible.

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Maths Quiz - Formulas and Equations (F) (Questions)

Fascinating Fact:

Key Terms

Frequently Asked Questions (Click to see answers)

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