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Class 9 Orienting Yourself: The Use of Coordinates worksheet

CBSE Mathematics. Quadrants, plotting, reflections, distances and midpoints, shapes on a grid. 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.

    The point (−9, −2) lies in:

    1. quadrant II
    2. quadrant I
    3. quadrant IV
    4. quadrant III
    Answer

    (d) quadrant III

    x is negative, y is negative

  2. 2.

    The distance between (10, 3) and (10, 22) is:

    1. 19
    2. 25
    3. 20
    4. 18
    Answer

    (a) 19

    same x: 22 − 3 = 19

  3. 3.

    The point where the x-axis and the y-axis meet is called the:

    1. quadrant
    2. vertex
    3. origin
    4. centre
    Answer

    (c) origin

    its coordinates are (0, 0)

Section B · short answer

  1. 4.

    Say where each point lies: (3, 9), (8, 6), (−6, 4), (7, 6).

    Answer

    quadrant I; quadrant I; quadrant II; quadrant I

    I (+, +), II (−, +), III (−, −), IV (+, −); a 0 puts the point on an axis

  2. 5.

    Find the distance between (0, 5) and (−72, 26).

    Answer

    75

    √(72² + 21²) = √5625 = 75

Section C · long answer

  1. 6.

    Taking Ananya's home as the origin, with east and north positive (1 unit = 100 m), Ananya walks 12 units east and 10 units north to school, then 8 west and 7 south to the library. What are the coordinates of the school and the library?

    Answer

    school (12, 10); library (4, 3)

    (12 − 8, 10 − 7)

Fresh sheets for your child

In the app, every Orienting Yourself: The Use of Coordinates 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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