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Formulas (H)

One question presents a formula that converts degrees Celsius (centigrade) to degrees Fahrenheit.

Formulas (H)

Master GCSE Higher formulas. Manipulate algebraic expressions, substitute values, and rearrange for any variable. Apply area, volume, and kinematics formulas accurately, checking units and rounding sensibly.

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Fascinating Fact:

In container design, cylinder volume is V = πr²h and sphere volume is V = 4⁄3 πr³. Double radius multiplies cylinder volume by 4 and sphere volume by 8.

In GCSE Maths (Higher), you’ll work confidently with formulas: substituting values, rearranging to make a variable the subject, and applying powers, roots, and units. Expect areas, perimeters, volumes, and motion equations.

Key Terms

Formula: A rule linking quantities, usually with letters, such as A = πr² or v = u + at.
Subject of the formula: The variable written alone on one side, e.g., rearranging v = u + at to make a the subject.
Substitute: Replacing letters with numbers (with correct units) before calculating.

Frequently Asked Questions (Click to see answers)

How do I rearrange a formula to make a variable the subject?

Undo operations step by step on both sides. For example, from v = u + at, subtract u to get v − u = at, then divide by t: a = (v − u)⁄t.

What is the difference between a formula, an equation, and an expression?

An expression has no equals sign. An equation states two things are equal. A formula is a general equation linking variables, used for many problems.

How do I avoid unit mistakes in formula questions?

Convert to consistent units before substituting (e.g., cm to m). Carry units through your working and check the final unit matches the quantity.

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You can find more about this topic by visiting BBC Bitesize - Algebraic formulae

Author: Sally Thompson (MSc Operational Research, Secondary Maths Teacher & Quiz Writer)

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