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 vertices of a $\Delta ABC$ are $A(3,8)$, $B(-1,2)$ and $C(6,-6)$. Which of the following is the slope of a line perpendicular to $BC$?
    • A.$-\frac{7}{8}$
    • B.$\frac{5}{3}$
    • C.$\frac{7}{8}$
    • D.$\frac{3}{2}$
  2. 2.The line passing through (-4, -2) and (2, -3) is perpendicular to the line passing through (a, 5) and (2, -1). Find a.
  3. 3.Given the points A (2, 3), B (-5, 0) and C (-2, a) are collinear. Find 'a'.
  4. 4.Find the equation of a line whose y-intercept is -1 and inclination is 45°.
    • A.y = x - 1
    • B.y = -x - 1
    • C.y = x + 1
    • D.y = -x + 1
  5. 5.Find the equation of the line which is perpendicular to the line $4x - 3y - 5 = 0$ and passes through the point $(1, -2)$. Which of the following is the correct equation of this perpendicular line?
    • A.$3x + 4y + 5 = 0$
    • B.$4x - 3y + 10 = 0$
    • C.$3x - 4y - 5 = 0$
    • D.$-4x + 3y + 5 = 0$

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