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11–13 years

Logic and Mathematics · Reasoning Workshop

We explore fractions, percentages, proportions, area, enumeration and logical deductions. We explain why the answer follows from the conditions.

Trial tasks are available without registration. To save results, start classes in your student profile.

Original illustration for the course “Logic and Mathematics · Reasoning Workshop”
  • 10Thematic lessons
  • 10Sequential lessons
  • 50Scored tasks
  • 10Theory sections
From topic to practice

What will we study

Choose a section or take classes in order. Both modes use the same objectives and results.

Shares and percentagesLet's analyze the rule and apply it in independent tasks.
  1. Fraction of quantity

    Equal parts; How many parts do we take? Two actions.

    Tasks: 5 · Theory: 1 · Free lesson
  2. Interest without guessing

    Hundredth part; Quarter and half; The whole is indicated.

    Tasks: 5 · Theory: 1 · Free lesson
Proportions and the UnknownLet's analyze the rule and apply it in independent tasks.
  1. Relationship of two parts

    Attitude; Total shares; Share size.

    Tasks: 5 · Theory: 1
  2. Unknown number

    Equality; Reverse action; Substitution.

    Tasks: 5 · Theory: 1
Expressions and GeometryLet's analyze the rule and apply it in independent tasks.
  1. Procedure

    Parentheses; Multiplication and division; Addition and subtraction.

    Tasks: 5 · Theory: 1
  2. Square with cutout

    Area; Cutout inside; Not the perimeter.

    Tasks: 5 · Theory: 1
Options and divisibilityLet's analyze the rule and apply it in independent tasks.
  1. Counting options

    One choice from each group; Product rule; Conditions change the score.

    Tasks: 5 · Theory: 1
  2. Divisibility by two conditions

    Without remainder; On 2 and 3; Examination.

    Tasks: 5 · Theory: 1
Logical proofsLet's analyze the rule and apply it in independent tasks.
  1. Possible and mandatory

    Valid options; Maybe; Necessarily.

    Tasks: 5 · Theory: 1
  2. Should the output

    Conditional group; Rule direction; Lack of data.

    Tasks: 5 · Theory: 1

Two ways to practice

By section

The course consists of chapters and thematic lessons. You can focus on one topic and understand it step by step.

Step by step

Choose a grid of activities or a route map. Consecutive classes open in order. One lesson may contain tasks from different topics.

Learn at your own pace

Start with the first discovery

Free thematic lessons: 2. Free consecutive lessons: 2. Other classes open with Premium. Access is granted by the parent.

Completed tasks, stars and results are saved in the student’s profile. Hints and explanations help you figure out the answer.