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Key Stage 3 (KS3) Graphs — practice questions

Explore 17 free Graphs questions in Key Stage 3 (KS3) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Graphs questions and exercises with answers

Showing questions 1–17 of 17.

In an ordered pair (x, y) that gives the coordinates of a point, what does the first number represent?Read the answer and worked solution →A point has x equal to negative 1 and y equal to 3. In which quadrant does the point (-1, 3) lie?Read the answer and worked solution →A point has x equal to negative 3 and y equal to negative 4. In which quadrant does the point (-3, -4) lie?Read the answer and worked solution →A point has a y-coordinate equal to 0. Where must that point lie?Read the answer and worked solution →A point has an x-coordinate equal to 0. Where must that point lie?Read the answer and worked solution →What is the special name for the point (0, 0), where the x-axis and y-axis intersect?Read the answer and worked solution →Is the ordered pair (0, 2) a solution to the equation x + 4y = 8?Read the answer and worked solution →A table of solutions for y = 4x - 2 needs a value for x equal to 2. What is the matching y-value?Read the answer and worked solution →An equation can be written in the form x = a, where a is a fixed number. What kind of line does this equation graph?Read the answer and worked solution →An equation can be written in the form y = b, where b is a fixed number. What kind of line does this equation graph?Read the answer and worked solution →The graph of y = 2x - 3 is a line. Is the point (2, -3) a solution to this equation?Read the answer and worked solution →What is an intercept of a line?Read the answer and worked solution →To find the x-intercept of a line from its equation, what value should be substituted for y before solving for x?Read the answer and worked solution →Find the x-intercept and y-intercept of the line 2x + y = 6.Read the answer and worked solution →Find the x-intercept and y-intercept of the line 4x - 3y = 12.Read the answer and worked solution →The steepness of the slant of a line is given a specific name in geometry. What is it called?Read the answer and worked solution →When measuring the slope of a line using a right triangle drawn between two points, what are the vertical and horizontal distances called?Read the answer and worked solution →

Worked practice questions

In an ordered pair (x, y) that gives the coordinates of a point, what does the first number represent?

  1. The x-coordinate
  2. The y-coordinate
  3. The quadrant number
  4. The origin point
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Correct answer: A. The x-coordinate

1. An ordered pair always lists the coordinates in the same order. 2. The first number in the pair is defined as the x-coordinate. 3. The second number is the y-coordinate instead, and a quadrant number or the origin are different concepts entirely. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 11 "Graphs", section 11.1 Use the Rectangular Coordinate System_

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A point has x equal to negative 1 and y equal to 3. In which quadrant does the point (-1, 3) lie?

  1. Quadrant I
  2. Quadrant II
  3. Quadrant III
  4. Quadrant IV
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Correct answer: B. Quadrant II

1. Look at the sign of each coordinate: x is negative and y is positive. 2. A negative x-value paired with a positive y-value places the point in Quadrant II. 3. Quadrant I needs both coordinates positive, and Quadrants III and IV both require a negative y-value, so none of those match this point. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 11 "Graphs", section 11.1 Use the Rectangular Coordinate System_

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A point has x equal to negative 3 and y equal to negative 4. In which quadrant does the point (-3, -4) lie?

  1. Quadrant I
  2. Quadrant II
  3. Quadrant III
  4. Quadrant IV
Show answer and solution

Correct answer: C. Quadrant III

1. Look at the sign of each coordinate: x is negative and y is negative. 2. A negative x-value paired with a negative y-value places the point in Quadrant III. 3. Quadrant II needs a positive y-value, and Quadrant IV needs a positive x-value, so neither matches this point. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 11 "Graphs", section 11.1 Use the Rectangular Coordinate System_

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More Mathematics topics

IntegersThe Language of AlgebraMath Models and GeometryAbsolute ValueExponential NotationIntroduction to IntegersOrder of OperationsPerimeter and Area