ICSE Class 10 Factorization of Polynomials — Mock Test (2027)
Free online mock test for Factorization of Polynomials (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 Factorization of Polynomials 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.What is the remainder when $f(x) = x^2 - 4x + 2$ is divided by $2x + 1$?
- A.$\frac{1}{2}$
- B.$\frac{3}{2}$
- C.$\frac{3}{4}$
- D.$\frac{17}{4}$
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2.The polynomials $ax^3 + 3x^2 - 3$ and $2x^3 - 5x + a$, when divided by $x - 4$, leave the same remainder in each case. What is the value of $a$?
- A.1
- B.-1
- C.2
- D.0.5
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3.The polynomials $3x^3 - ax^2 + 5x - 13$ and $(a + 1)x^2 - 7x + 5$ leave the same remainder when divided by $x - 3$. Find the value of 'a'.
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4.Find the value of $m$, if $mx^3 + 2x^2 - 3$ and $x^2 - mx + 4$ leave the same remainder when each is divided by $x - 2$.
- A.7
- B.0.3
- C.-7
- D.1.5
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5.Let $R_1$ and $R_2$ are remainders when the polynomials $x^3 + 2x^2 - 5ax - 7$ and $x^3 + ax^2 - 12x + 6$ are divided by $x + 1$ and $x - 2$ respectively. If $2R_1 + R_2 = 6$, find the value of $a$.
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