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 $\frac{3x + 5y}{3x - 5y} = \frac{7}{4}$ then $x: y$ is:
   • a.$25:6$
   • b.$7:3$
   • c.$9:49$
   • d.$10:4$
2. 2.If $x, y$ and $z$ are in continued proportion, which of the following correctly shows that $x^2 - y^2 : x^2 + y^2 = x - z : x + z$?
   • A.Express $x$ and $y$ in terms of $z$ using the common ratio, then simplify both sides to $\frac{k^2 - 1}{k^2 + 1}$.
   • B.Assume $x = y = z$ and substitute directly to verify the equality holds.
   • C.Cross-multiply the ratios and cancel $x^2$ and $z^2$ to show both sides equal $y^2$.
   • D.Use the property $\frac{x}{y} = \frac{z}{y}$ to express $z$ in terms of $x$ and simplify.
3. 3.If $x:50 = 3:2$, then value of $x$ is ______.
   • a.75
   • b.65
   • c.55
   • d.50
4. 4.In a regiment, the ratio of the number of officers to the number of soldiers was 3:31 before a battle. In the battle, 6 officers and 22 soldiers were killed. The ratio between the number of officers and the number of soldiers after the battle is 1:13. What were the number of officers and soldiers in the regiment before the battle?
   • A.Officers = 18, Soldiers = 186
   • B.Officers = 21, Soldiers = 217
   • C.Officers = 24, Soldiers = 248
   • D.Officers = 27, Soldiers = 279
5. 5.Solve the equation: $\frac{\sqrt{x + 5} + \sqrt{x - 16}}{\sqrt{x + 5} - \sqrt{x - 16}} = \frac{7}{3}$. What is the value of $x$?
   • A.16
   • B.20
   • C.25
   • D.41