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
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1.Find the inclination of the line $y = \sqrt{3} x + 2$.
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2.If A $(2, -3)$, B $(-5, 1)$, C $(7, -1)$, and D $(0, k)$ are four points such that AB is parallel to CD, what is the value of $k$?
- A.$k = -3$
- B.$k = 3$
- C.$k = rac{4}{7}$
- D.$k = - rac{4}{7}$
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3.Find the equation of the perpendicular dropped from the point (-1, 2) onto the line joining (1, 4) and (2, 3).
- A.x - y + 3 = 0
- B.x + y - 1 = 0
- C.x - y - 3 = 0
- D.x + y + 3 = 0
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4.Show that the points P (a, b + c), Q (b, c + a) and R (c, a + b) are collinear. Which of the following statements correctly justifies this?
- A.The slope of PQ is -1 and the slope of QR is -1, so the slopes are equal.
- B.The distance between P and Q equals the distance between Q and R, proving collinearity.
- C.The area of triangle PQR is zero, which means the points lie on a straight line.
- D.The slope of PQ is 1 and the slope of QR is -1, so the lines are perpendicular.
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5.Find the slope of the line passing through the points A (4, -9) and B (-2, -1).
- A.-4/3
- B.4/3
- C.-3/4
- D.8/6
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