ICSE Class 10

ICSE Class 10 Ratio and Proportion — Mock Test (2027)

Free online mock test for Ratio and Proportion (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 Ratio and Proportion 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.If $\frac{m + n}{m + 3n} = \frac{2}{3}$, find the value of $\frac{2n^2}{3m^2 + mn}$.
    • A.$\frac{2}{27}$
    • B.$\frac{1}{15}$
    • C.$\frac{2}{15}$
    • D.$\frac{1}{9}$
  2. 2.If $\frac{3x + 5y}{3x - 5y} = \frac{7}{3}$, what is the ratio $x : y$?
    • A.$25 : 6$
    • B.$6 : 25$
    • C.$5 : 3$
    • D.$3 : 5$
  3. 3.Using properties of proportion, solve for $x$ in the equation: $\frac{\sqrt{5}x + \sqrt{2}x - 6}{\sqrt{5}x - \sqrt{2}x - 6} = 4$.
    • A.15
    • B.20
    • C.30
    • D.40
  4. 4.If the numbers $p + 3$, $p + 2$, $3p - 7$ and $2p - 3$ are in proportion, then the value of $p$ is:
    • A.-1
    • B.1
    • C.5
    • D.-5
  5. 5.If $\frac{a}{b + c} = \frac{b}{c + a} = \frac{c}{a + b}$ and $a + b + c \neq 0$, which of the following values must each given ratio equal?
    • A.$\frac{1}{2}$
    • B.$1$
    • C.$\frac{a + b + c}{a b + b c + c a}$
    • D.$0$

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