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Class 8 Quadrilaterals worksheet

CBSE Mathematics. Angle sum, parallelograms, rectangles, rhombuses, squares, trapeziums and kites: sides, angles and diagonals. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.

Open a printable sample sheetCheat sheet: formulas and key points

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.

    Three angles of a quadrilateral are 65°, 90° and 139°. The fourth angle is:

    1. 294°
    2. 76°
    3. 67°
    4. 66°
    Answer

    (d) 66°

    360° − 294°

  2. 2.

    One angle of a parallelogram is 135°. The angle next to it is:

    1. 45°
    2. 135°
    3. 225°
    4. 46°
    Answer

    (a) 45°

    adjacent angles add to 180°

  3. 3.

    The angles of any quadrilateral add up to:

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

    (c) 360°

    a diagonal makes two triangles

Section B · short answer

  1. 4.

    The angles of a quadrilateral are in the ratio 1 : 4 : 3 : 1. Find them.

    Answer

    40°, 160°, 120°, 40°

    360° ÷ 9 = 40°

  2. 5.

    One angle of a parallelogram is 100° more than the angle next to it. Find all four angles.

    Answer

    40°, 140°, 40°, 140°

    x + x + 100 = 180°

Section C · long answer

  1. 6.

    Vikram makes a window frame with opposite sides 126 cm and 90 cm. To check it is a rectangle, Vikram measures both diagonals: 155 cm and 158 cm. Is it a rectangle? Why?

    Answer

    No, the diagonals are not equal

    a parallelogram is a rectangle exactly when its diagonals are equal

Fresh sheets for your child

In the app, every Quadrilaterals 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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