ICSE Class 10

ICSE Class 10 Equation of a Straight Line — Mock Test (2027)

Free online mock test for Equation of a Straight Line (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.

What to expect: This mock test covers key concepts from the Equation of a Straight Line chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.

Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.

Sample questions

  1. 1.The gradient of the line joining $P(6, k)$ and $Q(1 - 3k, 3)$ is $\frac{1}{7}$. What is the value of $k$?
    • A.-11
    • B.7
    • C.7
    • D.-3
  2. 2.Find the slope and y-intercept of the line given by the equation $2x - 3y - 4 = 0$. Which of the following pairs is correct?
    • A.Slope = $\frac{2}{3}$, y-intercept = $\frac{4}{3}$
    • B.Slope = $\frac{2}{3}$, y-intercept = $-\frac{4}{3}$
    • C.Slope = $-\frac{2}{3}$, y-intercept = $\frac{4}{3}$
    • D.Slope = $\frac{3}{2}$, y-intercept = $-2$
  3. 3.Given the points A (2, 3), B (-5, 0) and C (-2, a) are collinear. Find 'a'.
  4. 4.The points (-3, 2), (2, -1) and (a, 4) are collinear. Find the value of a.
    • A.-19/3
    • B.7
    • C.-7
    • D.19/3
  5. 5.The line passing through (-4, -2) and (2, -3) is perpendicular to the line passing through (a, 5) and (2, -1). Find a.

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