OACP Police Problem Solving: Scenarios, Maps and Mental Math

July 17, 2026

The Police Problem Solving section of the OACP SSPO is not a test of specialized police law. It measures whether you can identify relevant information, apply the rule or facts provided, work with visual and numerical details, and choose the most supported response under time pressure.

The section contains 30 multiple-choice questions. The official guide explains that situations may be presented in written paragraphs or as maps, with four response options. Questions may also involve policies, floor plans and practical calculations.

What makes these questions challenging?

Most errors come from the reasoning process rather than a lack of advanced knowledge. Common causes include:

• answering a different question from the one asked;
• using a familiar real-world assumption that the scenario never provided;
• overlooking a condition in a policy or rule;
• reversing a direction or misreading a floor-plan entrance;
• performing the right calculation with the wrong quantities; or
• selecting a possible answer instead of the best-supported answer.

A repeatable method helps you control those errors.

Use the FACTS method

1. F – Find the task. Read the final question first when a scenario is long. Identify exactly what must be selected, calculated or concluded.
2. A – Assemble the relevant facts. Separate facts that affect the answer from realistic but distracting details.
3. C – Check constraints and rules. Note words such as only, unless, before, nearest, most appropriate and except.
4. T – Test the choices. Compare each serious option with the facts and constraints. Eliminate it for a specific reason.
5. S – Select and move. Choose the strongest supported response. Flag the item if more work may help, but do not repeatedly restart the same reasoning.

Written scenarios and policies

When a question supplies a policy, treat that policy as the controlling rule for the item. Your task is to apply what is written, not to replace it with a policy you remember from work, school or another practice source.

Convert long rules into short conditions. For example:

• IF immediate safety risk, THEN priority response;
• IF no immediate risk, THEN follow the stated queue; and
• EXCEPT when the scenario activates the listed exception.

Then test the scenario facts against each condition in order. This reduces the temptation to select the answer that merely sounds the most forceful or police-like.

Maps and floor plans

Visual questions reward a careful setup. Before tracing a route:

1. locate the starting point and destination;
2. confirm north, the map orientation or the person’s facing direction;
3. identify barriers, one-way routes, locked doors or restricted areas;
4. trace the route one segment at a time; and
5. compare distance only after confirming that each route is permitted.

On a floor plan, distinguish a wall from a doorway and a room entrance from a nearby corridor. On a map, do not assume that the route that looks shortest is available. A small restriction can change the answer completely.

Mental arithmetic without a calculator

Calculators are not permitted on the SSPO. The published preparation guide recommends comfort with addition, subtraction, multiplication and division using whole numbers, as well as practical work involving:

• averages;
• percentages and fractions;
• elapsed time and distance;
• money;
• unit conversions; and
• area, perimeter and volume for common shapes.

Practise estimation before exact calculation. An estimate helps expose an answer that is off by a factor of 10 or uses the wrong unit.

Original practice example

A patrol route is 18 kilometres long and takes 30 minutes to complete at a constant average speed. What is the average speed in kilometres per hour?

Answer: 36 km/h. Thirty minutes is one-half of an hour. If 18 kilometres are travelled in one-half hour, double the distance to find the one-hour rate: 18 x 2 = 36.

How to review a problem-solving error

Do not stop at the correct option. Label the cause:

• Task error: you solved for the wrong thing;
• Fact error: you missed or changed a detail;
• Rule error: you misunderstood a condition or exception;
• Visual error: you reversed orientation or crossed a barrier;
• Calculation error: arithmetic or units were wrong; or
• Timing error: you rushed or stayed too long.

Then solve the question again without looking at the answer. Explain why the supported choice works and why the strongest distractor fails. That comparison develops a method you can transfer to a new scenario.

Build from accuracy to full-speed practice

1. Untimed sets: learn FACTS and write out the supporting detail.
2. Single-skill sets: practise maps, policies or arithmetic separately.
3. Mixed timed sets: switch methods as the question type changes.
4. Full SSPO rehearsals: combine problem solving with the writing section under the 35-minute timer.

The purpose of a full rehearsal is not merely to produce a mark. It is to test whether your reading routine, calculations, map setup and pacing still work when the question types are mixed.

Consult the official OACP Certificate Study Guide for the published assessment overview and official samples. Complete the series with our guides to SSPO format, timing and scoring and Incident Report Writing Aptitude.

Practise with original scenarios and visuals: explore the Police Ready OACP SSPO-style practice assessments, including maps, floor plans, policies, arithmetic and detailed explanations.

All examples in this article are original Police Ready practice material, not official OACP or SIGMA questions. Police Ready is independent and is not affiliated with or endorsed by OACP, TNT Justice Consultants, SIGMA Assessment Systems or any Ontario police service.