TARA Problem Solving: What Maths Do You Need?

Quick answer

The TARA Problem Solving module requires basic mathematics rather than advanced school maths. The official specification includes:

• Fractions, place value and percentages
• Addition, subtraction, multiplication and division
• Everyday calculations, including percentages and mean averages
• Time, calendars, money and measures
• Area, perimeter and volume
• Reading information from tables, charts and graphs

Candidates also need to know a small set of metric relationships, such as 1 km = 1000 m and 1 kg = 1000 g.

What the test is really assessing

The Problem Solving module is not mainly a memory test for mathematical techniques. It is designed to test whether candidates can use familiar tools inside unfamiliar situations.

That distinction matters. A candidate can know how percentages work and still lose marks if they:

• Use the wrong percentage base
• Miss a fee hidden inside a total
• Choose irrelevant information from a table
• Fail to notice that two representations show the same relationship

The maths is bounded. The reasoning is where the challenge usually sits.

The official maths specification

Number concepts

Candidates should understand:

• Simple fractions
• Place value
• Percentages

This means being comfortable with ideas such as:

• One quarter being the same as 25%
• The `5` in `7654` representing fifty
• If 20% has been used, 80% remains

Numerical operations

Candidates should be able to use:

• Addition
• Subtraction
• Multiplication
• Division
• Percentage calculations
• Mean averages

The specification says that complex calculations with fractions and decimals are not required. That does not mean arithmetic is unimportant. It means the test is more interested in choosing and combining operations correctly than in performing elaborate algebra.

Quantities

Candidates should be comfortable with:

• Time
• Calendars
• Money
• Measures

These topics appear simple, but they often create errors because they require careful interpretation. Calendar questions, for example, may involve days of the week, intervals or scheduling rather than difficult arithmetic.

Space and spatial reasoning

Candidates need to know:

• Area
• Perimeter
• Volume

The official specification specifically includes:

• Area of a rectangle
• Perimeter calculations
• Volume of a box

This is practical geometry rather than theorem-heavy geometry.

Tables and graphs

Candidates should be able to extract information from:

• Graphs
• Charts
• Tables

This is especially important because some Problem Solving questions are about comparing representations, not merely calculating from one value.

Metric relationships to know

The specification notes that other common units may appear, such as feet, tonnes or gallons, but candidates are not expected to know conversion relationships for those unless the question provides them.

What is not on the official list

The official specification does not call for advanced topics such as:

• Algebraic manipulation
• Trigonometry
• Calculus
• Formal probability
• Proof
• Complex geometry

Candidates should be careful, though, not to interpret "basic maths" as "easy questions". A simple toolkit can still be used in demanding ways.

Why calculators are not allowed

The absence of calculators pushes the module toward reasoning and number sense. Questions are designed so that the required calculations are manageable by hand, but candidates still need to be fluent enough to avoid losing time on basic arithmetic.

Good habits include:

• Estimating before calculating
• Cancelling or simplifying where possible
• Writing units beside values
• Checking whether an answer is sensible before selecting it

How to revise the maths efficiently

The most effective revision is targeted rather than broad. A useful order is:

1. Audit the official topic list
2. Repair any weak basics
3. Practise those topics inside Problem Solving questions
4. Review errors by cause, not only by topic

TaraPrep's mental-maths trainer is designed for the arithmetic-fluency part of this work. It should be combined with Problem Solving questions, because faster calculation alone does not train relevant selection or finding procedures.

For example, if a ratio question goes wrong, ask whether the issue was:

• The ratio itself
• Identifying the starting total
• Percentage change after the ratio
• A rushed arithmetic slip

A practical checklist

Before test day, candidates should be able to:

• Convert between simple fractions and percentages
• Work out percentage discounts and increases
• Calculate means
• Use simple ratio splits
• Handle money and time problems without a calculator
• Calculate rectangle area, perimeter and box volume
• Read tables and graphs accurately
• Use the official metric conversions confidently

Official sources

• UAT-UK TARA content specification
• UAT-UK TARA preparation materials