Number, Quantities and Measures
Use the specified basic arithmetic, fractions, percentages, averages, time, money and metric relationships accurately without a calculator.
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
The official scope includes place value, simple fractions, percentages, four operations and the mean.
Exam cue: Write the operation and units before calculating.
Concept 2
Everyday contexts can require time, calendars, money, measures and listed metric conversions.
Exam cue: Use proportional or percentage structure rather than memorised shortcuts.
Concept 3
Complex fraction and decimal calculations are not required, but exact numerical setup still matters.
Exam cue: Estimate the expected size of the answer.
Risk pitfalls and guardrails
Applying a percentage change to the wrong base.
Guardrail: Do not import subject detail the task does not require or confuse a plausible result with one established by the supplied reasoning.
Averaging rates or categories without checking what the mean represents.
Guardrail: Do not import subject detail the task does not require or confuse a plausible result with one established by the supplied reasoning.
Converting units in the wrong direction.
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
Operation First
State whether the task needs addition, subtraction, multiplication or division.
Percentage Base
A percentage is always taken of a specified whole.
Mean
Add the relevant values and divide by their count.
Units Travel
Carry units through each step and convert only when needed.
Metric Anchors
Know the specified kilometre, metre, centimetre, millimetre, kilogram and gram links.
Estimate
Use magnitude and bounds to catch arithmetic slips.
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
What is three quarters of 68?
A £72 item is reduced by 15%. What is the sale price?
Answer all questions to submit.
Next step personalized recommendations
Continue learning
Move forward only after this module is stable.
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