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Class 8 · Computational Thinking and AI worksheet

Quadrilaterals: Thinking Puzzles

CBSE Computational Thinking and AI. Shape families and their properties, colouring logic puzzles, counting rectangles and squares in grids, mirror-image boards, angle ratios. Every sheet has 20 questions in three sections and an answer key, and the questions change every time.

Open a printable sample sheet

Sample questions

Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.

Section A · multiple choice

  1. 1.

    The angles of any quadrilateral add up to:

    1. 270°
    2. 540°
    3. 180°
    4. 360°
    Answer

    (d) 360°

  2. 2.

    Which of these always has at least one line of symmetry but does not always have diagonals that bisect each other? (A kite here is not a rhombus.)

    1. rhombus
    2. parallelogram
    3. square
    4. kite
    Answer

    (d) kite

    at least one line of symmetry: square, rectangle, rhombus, kite; diagonals that bisect each other: square, rectangle, rhombus, parallelogram

  3. 3.

    A grid of 4 × 2 unit squares is drawn. How many rectangles of any size are there in it (squares count as rectangles)?

    1. 30
    2. 8
    3. 11
    4. 22
    Answer

    (a) 30

    choose 2 of the 5 horizontal lines and 2 of the 3 vertical lines: 10 × 3

Section B · short answer

  1. 4.

    Why is every square a rectangle but not every rectangle a square?

    Answer

    A square has all the properties of a rectangle (four right angles) and also equal sides, which a rectangle need not have.

  2. 5.

    How many rectangles (including squares) are there in a grid of 8 × 6 unit squares?

    Answer

    756

    36 × 21

Section C · long answer

  1. 6.

    A kite, a rhombus, a square and a parallelogram are coloured blue, yellow, orange and red, one colour each. (A kite here is not a rhombus.) • The kite is not yellow. • The red shape has all four sides equal. • The blue shape has diagonals that bisect each other. • The yellow shape has all four sides equal. • The yellow shape has equal diagonals. What colour is (a) the parallelogram (b) the rhombus?

    Answer

    (a) blue; (b) red

    kite: orange, rhombus: red, square: yellow, parallelogram: blue

Fresh sheets for your child

In the app, every Quadrilaterals: Thinking Puzzles sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.

Coming soon for Android and iPhone.

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