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.Using componendo and dividendo, determine the value of $x$ from the equation: $$ \frac{\sqrt{3x + 4} + \sqrt{3x - 5}}{\sqrt{3x + 4} - \sqrt{3x - 5}} = 9 $$
- A.4
- B.5
- C.7
- D.8
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2.If $(4x + 3) : (9x + 10)$ is the triplicate ratio of 3 : 4, find the value of $x$.
- A.4
- B.6
- C.8
- D.12
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3.85 kg of a mixture contains milk and water in the ratio 27:7. How much more water must be added to this mixture to obtain a new mixture containing milk and water in the ratio 3:1?
- A.3 kg
- B.5 kg
- C.7 kg
- D.10 kg
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4.Using properties of proportion, find the ratio x : y given the equation: $$\frac{x^2 + 2x}{2x + 4} = \frac{y^2 + 3y}{3y + 9}$$
- A.1 : 2
- B.2 : 3
- C.3 : 4
- D.4 : 5
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5.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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