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.Find the sub-duplicate ratio of: $\frac{1}{9} : \frac{1}{4}$. Which of the following represents the correct sub-duplicate ratio?
- A.1 : 2
- B.2 : 3
- C.3 : 2
- D.1/3 : 1/2
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2.If $\frac{8x + 13y}{8x - 13y} = \frac{9}{7}$, find the ratio $x : y$.
- A.$x : y = 13 : 1$
- B.$x : y = 1 : 13$
- C.$x : y = 8 : 13$
- D.$x : y = 13 : 8$
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3.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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4.Quantities $a$, $2$, $10$ and $b$ are in continued proportion. Which of the following correctly gives the values of $a$ and $b$?
- A.$a = 0.4$, $b = 50$
- B.$a = 4$, $b = 20$
- C.$a = 0.5$, $b = 40$
- D.$a = 2$, $b = 100$
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5.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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