Schedule questions are the closest thing the PMP exam has to guaranteed points: the math is mechanical and the traps are known. Yet candidates routinely donate these points by rushing the network diagram or mixing up crashing and fast-tracking. Schedule tasks sit in the Process domain — 41% of the 2026 exam — alongside the topics in our Process domain guide.
This guide walks one complete network with forward and backward passes, nails the compression distinction, covers the agile equivalents, and finishes with two original questions.
Critical path in plain terms
The critical path is the longest chain of dependent activities through the network — it determines the minimum project duration. Activities on it have zero total float: delay any of them and the project end date slips. Total float is how long an activity can slip without delaying the project; free float is how long it can slip without delaying its immediate successor.
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One worked network, start to finish
Five activities, dependencies in parentheses:
| Activity | Duration | Predecessors |
|---|---|---|
| A | 3 days | — |
| B | 4 days | A |
| C | 7 days | A |
| D | 2 days | B |
| E | 3 days | C, D |
Paths: A→B→D→E = 3+4+2+3 = 12 days. A→C→E = 3+7+3 = 13 days. The critical path is A→C→E, 13 days.
Forward pass (early start/early finish, starting from day 0): A: ES 0, EF 3. B: ES 3, EF 7. C: ES 3, EF 10. D: ES 7, EF 9. E starts when both C and D are done, so ES 10, EF 13.
Backward pass (late finish/late start, from day 13): E: LF 13, LS 10. D: LF 10, LS 8. C: LF 10, LS 3. B must finish by D's late start: LF 8, LS 4. A: LF 3, LS 0.
Total float = LS − ES (or LF − EF): A, C, E: 0 (critical). B: 4 − 3 = 1 day. D: 8 − 7 = 1 day.
Sanity check: the non-critical path totals 12 days against a 13-day project, so its activities share 1 day of float. Comparing path lengths is often the fastest route to the answer — but know the passes, because some questions ask for a specific ES or LF value.
Crashing vs. fast-tracking
Both are schedule compression techniques applied to the critical path. The exam tests whether you can pick the right one from the constraint in the stem.
- Crashing adds resources or overtime to shorten activity durations. Costs money; risk of diminishing returns. Choose it when budget is available and activities can actually go faster with more hands.
- Fast-tracking performs activities in parallel that were planned in sequence. Costs no extra money but adds risk — rework if the overlapped activities collide. Choose it when there is no budget for compression and dependencies are discretionary rather than mandatory.
Memory hook: crash = cash; fast-track = risk. And neither helps if applied to a non-critical activity — compressing float achieves nothing.
What replaces this in agile?
Roughly 60% of the 2026 exam sits in agile and hybrid contexts, where nobody draws a network diagram. The equivalents you must recognize:
- Timeboxes (fixed-length iterations) replace activity-level scheduling; scope flexes, dates do not
- Velocity and throughput replace duration estimates for forecasting
- Burndown and burnup charts replace Gantt tracking
- Backlog ordering replaces logical sequencing — highest value and highest risk first
- Hybrid rolling-wave planning blends the two: near-term detail, far-term milestones
If the stem is agile and the options include "update the network diagram," it is almost certainly a distractor. See agile vs. predictive on the 2026 exam for how to spot the context quickly.
Example question 1: find the float
Using the network above (A=3d; B=4d after A; C=7d after A; D=2d after B; E=3d after C and D), what is the total float of Activity B?
A. 0 days B. 1 day C. 2 days D. 3 days
Correct answer: B.
- A assumes B is on the critical path. It is not — the path through B (A→B→D→E) totals 12 days versus the 13-day critical path A→C→E.
- B is correct: LS − ES = 4 − 3 = 1 day. Equivalently, the 12-day path runs 1 day shorter than the 13-day critical path, and B shares that 1 day of float with D.
- C comes from a backward-pass error, such as anchoring an activity's late finish to the wrong successor value.
- D comes from subtracting durations (C's 7 minus B's 4) — durations alone never give float; only the passes or a path comparison do.
Example question 2: pick the compression technique
A regulatory deadline for a predictive project has moved up by three weeks. The sponsor confirms that no additional budget is available, but notes that the design review does not strictly need to finish before component build begins. What should the project manager do?
A. Crash the schedule by authorizing overtime for the build team. B. Fast-track by overlapping the design review with component build, and manage the added rework risk. C. Reduce the testing scope to recover the three weeks. D. Ask the regulator for an extension before changing the plan.
Correct answer: B.
- A is crashing, which requires budget the sponsor has just ruled out — overtime is not free.
- B matches both constraints in the stem: no money available, and a discretionary dependency explicitly flagged as overlappable. That is the definition of fast-tracking, accepted rework risk included.
- C cuts scope — and quality-related scope at that — without any approval process; scope reduction is a change-control decision, not a unilateral compression trick.
- D ignores that the deadline is regulatory; the stem gives no indication an extension is plausible, while a workable compression option is sitting on the table.
Practice the math until it is reflex
Float questions are pure execution: candidates who miss them usually saw the technique once but never rebuilt the skill after their first mistake. That is the gap spaced review closes — ExamElephant's retest engine brings back each schedule question you miss at 3 days and again at 7 days until you have mastered it. The free tier includes 75 questions; full access arrives with paid passes, coming soon as one-time purchases rather than subscriptions. If formulas are a general weak spot, pair this with the EVM formulas guide — both math families feature in our hardest-topics data.
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FAQ
How many schedule math questions are on the 2026 PMP exam?
PMI does not publish per-topic counts. Quantitative schedule items are a small minority of the exam, but they are high-confidence points because they have exactly one right answer.
Can there be more than one critical path?
Yes — if two paths tie for longest, both are critical, and the project is riskier because more activities have zero float. The exam occasionally tests this directly.
Do I need to memorize the 0-based versus 1-based start convention?
Use one consistently (this guide uses day 0). Well-written questions avoid answers that differ only by convention, but consistency prevents self-inflicted errors under time pressure.
Is critical path tested in agile scenarios?
Essentially no. Agile stems test timeboxes, velocity, and backlog ordering instead. Hybrid stems may combine a milestone-level predictive schedule with agile execution inside phases.