Exams
Topic module

Percentages, Fractions and Proportion

Translate between fractions, decimals and percentages and solve direct or inverse proportional relationships efficiently.

Long-form learning
Concept to Risk to Memory to Check-up

How to prepare for the current UCAT

Use the four-subtest ability map, practise the current response formats and reserve official UCAT materials for authentic timing and interface rehearsal.

Core concepts

Concept 1

Percentage change depends on the original value, while percentage points compare rates directly.

Exam cue: Name the whole before applying a fraction or percentage.

Concept 2

Proportional reasoning can replace slower repeated calculations.

Exam cue: Use a scale factor or unit value to preserve the relationship.

Risk pitfalls and guardrails

Using the final value as the base for percentage change.

Guardrail: Do not use obsolete Abstract Reasoning material or convert practice accuracy into an invented official scaled score or SJT band.

Confusing a percentage increase with a percentage-point increase.

Guardrail: Do not use obsolete Abstract Reasoning material or convert practice accuracy into an invented official scaled score or SJT band.

Memory anchors

Name the Whole

Every fraction or percentage refers to a defined base.

Change over Original

Percentage change divides the difference by the starting value.

Percentage Points

Subtract two percentages when comparing rates directly.

Scale Factor

Multiply corresponding quantities by the same factor in direct proportion.

Unit Value

Find the amount for one unit before scaling.

Reverse Carefully

Undoing a percentage change is not done by subtracting the same percentage.

Checkpoint rule

Do the check-up only after you can summarize each concept in one sentence and identify one dangerous pitfall from memory.

Knowledge Check (after reading)

Short check-up to confirm understanding of this module.

Check-up Questions

1-2 question checkpoint

A jacket costing £80 is reduced by 15%. What is the sale price?

A class grows from 24 to 30 students. What is the percentage increase?

Answer all questions to submit.

Next step personalized recommendations

Continue learning

Move forward only after this module is stable.

Next topic: Rates, Time and ConversionStart focused practiceOpen flashcardsView personalized queue

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