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.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.$\frac{3}{2}$
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2.Find the value of $p$ for which the lines $2x + 3y - 7 = 0$ and $4y - px - 12 = 0$ are perpendicular to each other.
- A.$p = 3$
- B.$p = 6$
- C.$p = -6$
- D.$p = 8$
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3.Find the point of intersection of the lines $4x + 3y = 1$ and $3x - y + 9 = 0$. If this point lies on the line $(2k - 1)x - 2y = 4$, what is the value of $k$?
- A.$k = 3$
- B.$k = -3$
- C.$k = rac{1}{3}$
- D.$k = 2$
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4.Find the value of θ from the following: (vi) $1\cdot 1303 = \tan 48^{\circ}, 30'$
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5.If the straight lines $3x - 5y = 7$ and $4x + ay + 9 = 0$ are perpendicular to one another, find the value of $a$.
- A.$a = 4$
- B.$a = 6$
- C.$a = -6$
- D.$a = 12$
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