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Coordinate Geometry

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Gradient, Midpoint, and Length of a Line

Subtopic

Gradient, Midpoint, and Length of a Line under Coordinate Geometry for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the coordinates of the midpoint of the line segment joining C(−5,2)C(-5, 2) and D(1,−8)D(1, -8).

    A.

    (−2,−3)(-2, -3)

    B.

    (−3,−5)(-3, -5)

    C.

    (−4,−6)(-4, -6)

    D.

    (−2,5)(-2, 5)

  2. 2.

    What is the length of the line segment connecting the points (0,0)(0, 0) and (8,−6)(8, -6)?

    A.

    1414

    B.

    22

    C.

    1010

    D.

    28\sqrt{28}

  3. 3.

    Calculate the gradient of the line passing through the points (2,5)(2, 5) and (4,13)(4, 13).

    A.

    22

    B.

    44

    C.

    0.50.5

    D.

    −4-4

Download the worksheet for Coordinate Geometry - Gradient, Midpoint, and Length of a Line to practice offline. It includes additional chapter-level practice questions.

Equations of Straight Lines (y = mx + c)

Subtopic

Equations of Straight Lines (y = mx + c) under Coordinate Geometry for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Which equation has a gradient of 66 and a yy-intercept of −3-3?

    A.

    y=−3x+6y = -3x + 6

    B.

    y=6x−3y = 6x - 3

    C.

    y=6x+3y = 6x + 3

    D.

    y=3x−6y = 3x - 6

  2. 2.

    Find the yy-intercept of the line y=100x+50y = 100x + 50.

    A.

    100100

    B.

    00

    C.

    5050

    D.

    −50-50

  3. 3.

    Calculate the gradient of the line through (1,1)(1, 1) and (2,4)(2, 4).

    A.

    33

    B.

    11

    C.

    22

    D.

    44

Download the worksheet for Coordinate Geometry - Equations of Straight Lines (y = mx + c) to practice offline. It includes additional chapter-level practice questions.

Parallel and Perpendicular Lines

Subtopic

Parallel and Perpendicular Lines under Coordinate Geometry for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the gradient of a line perpendicular to y=1.5x+4y = 1.5x + 4?

    A.

    1.51.5

    B.

    −1.5-1.5

    C.

    23\frac{2}{3}

    D.

    −23-\frac{2}{3}

  2. 2.

    Which of the following lines is parallel to y=x−10y = x - 10?

    A.

    y=−x+10y = -x + 10

    B.

    y=2x−10y = 2x - 10

    C.

    y=x+5y = x + 5

    D.

    y=−x−10y = -x - 10

  3. 3.

    If a line is perpendicular to y=−0.5xy = -0.5x, what is its gradient?

    A.

    0.50.5

    B.

    −0.5-0.5

    C.

    22

    D.

    −2-2

Download the worksheet for Coordinate Geometry - Parallel and Perpendicular Lines to practice offline. It includes additional chapter-level practice questions.

Graphs of Functions (Quadratic, Cubic, Reciprocal)

Subtopic

Graphs of Functions (Quadratic, Cubic, Reciprocal) under Coordinate Geometry for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    In the function y=kxy = \frac{k}{x}, if yy increases as xx increases (for x>0x>0), then kk must be:

    A.

    Positive

    B.

    Negative

    C.

    Zero

    D.

    Not possible

  2. 2.

    How many turning points does a simple cubic function like y=x3y = x^3 have?

    A.

    0

    B.

    1

    C.

    2

    D.

    3

  3. 3.

    What is the coefficient of x3x^3 in the function y=4x3−2x+1y = 4x^3 - 2x + 1?

    A.

    -2

    B.

    1

    C.

    4

    D.

    0

Download the worksheet for Coordinate Geometry - Graphs of Functions (Quadratic, Cubic, Reciprocal) to practice offline. It includes additional chapter-level practice questions.

Coordinate Geometry - Grade 10 Maths (IGCSE) | Krit.club