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
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1.If $a : b = c : d$, which of the following correctly shows that $3a + 2b : 3a - 2b = 3c + 2d : 3c - 2d$?
- A.Express $a$ and $c$ in terms of $b$ and $d$ using a common ratio $k$, then simplify both sides to $\frac{3k + 2}{3k - 2}$.
- B.Cross-multiply the given ratio to get $ad = bc$, then substitute into both sides to verify equality.
- C.Assume $a = c$ and $b = d$, then directly substitute to show both sides are equal.
- D.Expand both sides using the distributive property and cancel common terms to prove equality.
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2.The reciprocal ratio of $\frac{1}{9}:2$ is:
- A.$9:\frac{1}{2}$
- B.$18:1$
- C.$9:2$
- D.$2:18$
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3.Solve the following equation for $x$, using properties of proportion: $\frac{1 - px}{1 + px} \sqrt{\frac{1 + qx}{1 - qx}} = 1$.
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4.The mean proportional between 4 and 9 is:
- A.$\frac{5}{2}$
- B.$\frac{13}{2}$
- C.6
- D.6.5
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5.What quantity must be added to each term of the ratio (a + 2b) : (a - 2b) to make it equal to the duplicate ratio of (a + b) : (a - b)?
- A.a/b
- B.b²/a
- C.a²/b
- D.b/a
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