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.

Sample questions

1. 1.If $ a, b $ and $ c $ are in continued proportion, which of the following correctly expresses the relationship between the ratios $ a : c $ and $ (a^2 + b^2) : (b^2 + c^2) $?
   • A.$ a : c = (a^2 + b^2) : (b^2 + c^2) $
   • B.$ a : c = (a^2 - b^2) : (b^2 - c^2) $
   • C.$ a : c = (a^2 + c^2) : (b^2 + c^2) $
   • D.$ a : c = (b^2 + c^2) : (a^2 + b^2) $
2. 2.If $x: y = 2:3$, then $(7x - 4y): (5x + 2y)$ is equal to:
   • a.$1:8$
   • b.$2:3$
   • c.$4:9$
   • d.$5:7$
3. 3.If $ \frac{a}{b} = \frac{c}{d} $, which of the following correctly shows that $(a + b) : (c + d) = \sqrt{a^2 + b^2} : \sqrt{c^2 + d^2}$?
   • A.Let $ \frac{a}{b} = \frac{c}{d} = k $. Then $ a = bk $ and $ c = dk $. Substituting, both sides simplify to $ \frac{b}{d} $, proving equality.
   • B.Cross-multiplying gives $ ad = bc $. Adding $ ab $ and $ cd $ to both sides yields the required ratio.
   • C.Square both sides of the given ratio to get $ \frac{a^2}{b^2} = \frac{c^2}{d^2} $. Then add 1 to both sides and take square roots.
   • D.Assume $ a = c $ and $ b = d $. Then the ratio $(a + b) : (c + d) $ becomes 1:1, which matches the right side.
4. 4.A ratio is equal to $3:4$. If its consequent is 144, what is its antecedent?
   • A.96
   • B.108
   • C.192
   • D.144
5. 5.Using the properties of proportion, solve the following equation for $x$: $\frac{x^3 + 3x}{3x^2 + 1} = \frac{341}{91}$. What is the value of $x$?
   • A.5
   • B.7
   • C.11
   • D.13