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All, some, none – practice for Years 4–9

Sample questions on All, some, none with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Logic
Year
Years 4–9
Curriculum area
Statements and truth

Question types: Is it true?

Rule: All, some, none

“All the circles are blue” is disproved by a single circle that is not blue.

“At least one circle is blue” is proved by a single blue circle. “No circle is blue” is disproved by a single blue one.

Example: A box with 2 blue circles and a red square: “All the circles are blue” is true, and so is “No square is blue”.

Watch out: The opposite of “All are blue” is not “None is blue” but “At least one is not blue”.

Sample questions

  1. Question 1 Easy

    A box holds the shapes in the picture. Decide whether each statement is true (YES) or not (NO).

    1. All the squares are green.
    2. At least one triangle is green.
    3. No triangle is yellow.
    Show the solution
    Answer:
    1. All the squares are green. – no
    2. At least one triangle is green. – yes
    3. No triangle is yellow. – yes

    How it works: 1. NO 2. YES 3. YES

  2. Question 2 Normal

    A box holds the shapes in the picture. Decide whether each statement is true (YES) or not (NO).

    1. No pentagon is red.
    2. No pentagon is blue.
    3. At least one square is green.
    4. At least one square is red.
    Show the solution
    Answer:
    1. No pentagon is red. – no
    2. No pentagon is blue. – yes
    3. At least one square is green. – yes
    4. At least one square is red. – yes

    How it works: 1. NO 2. YES 3. YES 4. YES

  3. Question 3 Hard

    A box holds the shapes in the picture. Decide whether each statement is true (YES) or not (NO).

    1. At least one square is yellow.
    2. No square is blue.
    3. All the triangles are green.
    4. All the squares are yellow.
    Show the solution
    Answer:
    1. At least one square is yellow. – yes
    2. No square is blue. – no
    3. All the triangles are green. – no
    4. All the squares are yellow. – no

    How it works: 1. YES 2. NO 3. NO 4. NO

Related topics

All Logic topics

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