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 $(7a + 8b)(7c - 8d) = (7a - 8b)(7c + 8d)$, which of the following ratios must be true?
- A.a : b = c : d
- B.a : c = b : d
- C.a : d = b : c
- D.7a : 8b = 7c : 8d
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2.If $ x = \frac{2ab}{a + b} $, find the value of: $ \frac{x + a}{x - a} + \frac{x + b}{x - b} $.
- A.0
- B.1
- C.2
- D.$\frac{a + b}{a - b}$
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3.When the fare of a certain journey by an airliner was increased in the ratio 5 : 7, the cost of the ticket for the journey became ₹1,421. What is the increase in the fare?
- A.₹203
- B.₹406
- C.₹609
- D.₹812
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4.If $\frac{x}{b + c - a} = \frac{y}{c + a - b} = \frac{z}{a + b - c}$, which of the following expressions is equal to each of these ratios?
- A.$\frac{x + y + z}{a + b + c}$
- B.$\frac{x + y + z}{a + b - c}$
- C.$\frac{x + y}{a + b}$
- D.$\frac{x + y + z}{b + c - a}$
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5.Find the sub-triplicate ratio of: $x^3 : 64y^3$
- A.$x^3 : 64y^3$
- B.$x : 4y$
- C.$x^2 : 16y^2$
- D.$3x : 12y$
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