Topic module

Finding Procedures

Create a reliable sequence of steps when the information is available but the method is not immediately obvious.

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

How to prepare for the TARA

Learn the official question types, practise five-option reasoning without a calculator, and rehearse one 40-minute writing process that explains, counters and judges a proposition.

Core concepts

Concept 1

Finding Procedures questions require a method to be devised for a novel problem.

Exam cue: Work backward from the requested result.

Concept 2

A useful procedure breaks the target into intermediate quantities and preserves all constraints.

Exam cue: Name the intermediate values needed before calculating.

Concept 3

Alternative methods can be compared for speed, clarity and risk of error.

Exam cue: Test the procedure on the constraints before executing it fully.

Risk pitfalls and guardrails

Starting arithmetic without a route to the target.

Guardrail: Do not import subject detail the task does not require or confuse a plausible result with one established by the supplied reasoning.

Using a familiar formula that does not fit the conditions.

Guardrail: Do not import subject detail the task does not require or confuse a plausible result with one established by the supplied reasoning.

Carrying out unnecessary calculations that increase error risk.

Guardrail: Do not import subject detail the task does not require or confuse a plausible result with one established by the supplied reasoning.

Memory anchors

Work Backward

Ask what immediately determines the target.

Intermediate Steps

List the quantities that connect data to answer.

Constraint Audit

Make sure every step respects limits, timing and order.

Method Before Arithmetic

Choose a route before calculating.

Efficient Route

Prefer the shortest method that remains checkable.

Procedure Test

Verify the method with a simple bound or alternative view.

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 £330 trip price consists of a £30 fee plus two costs in the ratio 3:2. The larger cost rises 10%, the smaller falls 5%, and the fee stays fixed. What is the new price?

A tank fills at 18 L/min for 12 minutes, then drains at 7 L/min for 8 minutes. It began with 95 L. How much water is present?

Answer all questions to submit.

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