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 equation of the line that passes through the point $P(-2, 1)$ and is parallel to the line joining the points $A(4, -3)$ and $B(-1, 5)$. What is the equation of this line?
- A.$8x + 5y + 11 = 0$
- B.$5x + 8y - 2 = 0$
- C.$8x - 5y + 21 = 0$
- D.$5x - 8y + 18 = 0$
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2.Find the slope of the line passing through the points A $(0, -3)$ and B $(2, 1)$. What is the value of the slope?
- A.2
- B.-2
- C.0.5
- D.4
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3.Given the points A (2, 3), B (-5, 0) and C (-2, a) are collinear. Find 'a'.
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4.Using the Remainder Theorem, factorise the expression $3x^3 + 10x^2 + x - 6$. Hence, which of the following correctly represents the factorisation and the solutions to the equation $3x^3 + 10x^2 + x - 6 = 0$?
- A.$(x + 1)(3x - 2)(x + 3)$; Solutions: $x = -1$, $x = \frac{2}{3}$, $x = -3$
- B.$(x - 1)(3x + 2)(x - 3)$; Solutions: $x = 1$, $x = -\frac{2}{3}$, $x = 3$
- C.$(x + 1)(3x + 2)(x - 3)$; Solutions: $x = -1$, $x = -\frac{2}{3}$, $x = 3$
- D.$(x - 1)(3x - 2)(x + 3)$; Solutions: $x = 1$, $x = \frac{2}{3}$, $x = -3$
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5.Find the value of x, if the slope of the line joining the points (x, 2) and (8, -11) is 3/4.
- A.-6
- B.6
- C.20/3
- D.-20/3
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