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Worked review

Every question in Vettamed has a worked solution. After a paper or a set, you go through each one with your answer beside the key and the working laid out in full.

6,462
worked solutions
462
in the full papers
6,000
in the reasoning bank

A specimen

One question, reviewed in full.

This public specimen shows review at its most complete: the step that decides the question, a reason for every option, and the method to keep for the next question of its kind.

Mathematical thinking · symbols in place of variables

The symbols ◆, ● and ▲ each stand for an integer. They satisfy:

◆ + ● + ▲ = 5
2◆ − ● + ▲ = −3
◆ − ● + ▲ = −1

What is the value of ●?

  1. A−2
  2. B4
  3. C−3
  4. D2
  5. E3

The decisive step

Equations 1 and 3 differ only in ●. Subtract one from the other and ◆ and ▲ cancel: 2● = 6, so ● = 3. The full solution is ◆ = −2, ● = 3, ▲ = 4.

Why each option stands or falls

  1. A−2Ruled outThis is the value of ◆. Solving the system correctly and then reporting the wrong symbol is the easiest way to lose this mark.
  2. B4Ruled outThis is the value of ▲: the same trap, a correct solution with the wrong symbol reported.
  3. C−3Ruled outA sign slip. Equation 3 minus equation 1 gives −2● = −6; dropping one minus sign leaves ● = −3, and equation 1 no longer holds.
  4. D2Ruled outThe size of ◆ with its sign lost. No value of ● other than 3 satisfies equations 1 and 3 together.
  5. E3KeyEquation 1 minus equation 3 cancels ◆ and ▲ and leaves 2● = 6.

Method that transfers. Before solving a system, look for two equations that differ in a single term. Subtracting them isolates that term in one step.

Figure 1. A public specimen in review. The question and its reasoning are in English, as on the HUMAT.

In every review

What a review shows.

Whichever question you open, the review follows the same order, so you always know where to look.

Your answer and the key

What you chose, or that you left the question blank, beside the correct answer.

The worked solution

The full working from the question to the key, one step at a time.

Steps to reveal

Where a question has them, reveal the reasoning one step at a time and try the next step yourself before you read it.

A report button

If a key, a figure or the wording looks wrong to you, report it from the review. The report reaches the content team with the exact version you saw.

Review queue

Missed questions come back.

Questions you miss go to your review queue with their worked solutions, so you can return to the skill behind each one and test it again.

vettamed.com/dashboardSample data
Figure 2. The review queue on the web, with sample data.

Read a worked solution today.

The free calibration ends with a worked solution for every question. Eight Scientific Thinking questions, 18 minutes, no account needed.