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 $\frac{x}{b + c - a} = \frac{y}{c + a - b} = \frac{z}{a + b - c}$, 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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2.Find the sub-triplicate ratio of 125 : 216.
- A.25 : 36
- B.5 : 6
- C.15 : 18
- D.10 : 12
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3.Find the sub-duplicate ratio of 16 : 9.
- A.8 : 4.5
- B.4 : 3
- C.256 : 81
- D.16² : 9²
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4.The simplest form of the ratio $27:81$ is:
- a.$1:3$
- B.$3:9$
- c.$27:81$
- d.$9:27$
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5.If $a, b, c$ and $d$ are in proportion, which of the following correctly proves the equality $\frac{13a + 17b}{13c + 17d} = \sqrt{\frac{2ma^2 - 3nb^2}{2mc^2 - 3nd^2}}$?
- A.Express $a$ and $c$ in terms of $b$ and $d$ using the proportion, then simplify both sides to show they equal $\frac{b}{d}$.
- B.Cross-multiply the left and right sides directly and simplify to show both sides are identical.
- C.Assume $a = c$ and $b = d$ to simplify the equation, then verify the equality holds.
- D.Substitute $a = 1$, $b = 1$, $c = 1$, and $d = 1$ to check if both sides equal 1, proving the equality.
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