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 $(a - b):(a + b) = 1:11$, find the ratio $(5a + 4b + 15):(5a - 4b + 3)$. Which of the following is the correct simplified ratio?
- A.$1:4$
- B.$4:1$
- C.$5:1$
- D.$11:1$
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2.If $x = \frac{\sqrt{2a + 3b} + \sqrt{2a - 3b}}{\sqrt{2a + 3b} - \sqrt{2a - 3b}}$, which of the following equations is satisfied by $x$?
- A.$3bx^2 - 4ax + 3b = 0$
- B.$3bx^2 + 4ax + 3b = 0$
- C.$3bx^2 - 4ax - 3b = 0$
- D.$4bx^2 - 3ax + 4b = 0$
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3.Find the sub-triplicate ratio of: $2\sqrt{2} : 3\sqrt{3}$
- A.$2 : 3$
- B.$\sqrt{2} : \sqrt{3}$
- C.$2^{1/3} : 3^{1/3}$
- D.$2\sqrt[3]{2} : 3\sqrt[3]{3}$
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4.If $x = \frac{\sqrt{a + 1} + \sqrt{a - 1}}{\sqrt{a + 1} - \sqrt{a - 1}}$, using properties of proportion, which of the following equations is shown to be true?
- A.$x^2 - 2ax + 1 = 0$
- B.$x^2 + 2ax + 1 = 0$
- C.$x^2 - 2a + 1 = 0$
- D.$x^2 - ax + 1 = 0$
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5.If $\frac{5x + 6y}{5u + 6v} = \frac{5x - 6y}{5u - 6v}$, which of the following proportions must be true?
- A.$x : y = u : v$
- B.$x : u = y : v$
- C.$5x : 6y = 5u : 6v$
- D.$x : v = u : y$
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