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.The cost of making an umbrella is divided between material, labour and overheads in the ratio of 6:4:1. If the material costs Rs. 75, find the cost of production of an umbrella.
   • A.Rs. 112.5
   • B.Rs. 125
   • C.Rs. 137.5
   • D.Rs. 150
2. 2.If $(x^2 + y^2): (x^2 - y^2) = 17:8$, then $x: y$ is:
   • a.$3:7$
   • b.$25:9$
   • c.$8:17$
   • d.$5:3$
3. 3.In an examination, the ratio of passes to failures was 4:1. Had 30 less students appeared and 20 less passed, the ratio of passes to failures would have been 5:1. How many students appeared for the examination?
   • A.120 students
   • B.150 students
   • C.180 students
   • D.200 students
4. 4.If $x = \frac{\sqrt{a + 3b} + \sqrt{a - 3b}}{\sqrt{a + 3b} - \sqrt{a - 3b}}$, which quadratic equation in $x$ is satisfied?
   • A.$3bx^2 - 2ax + 3b = 0$
   • B.$3bx^2 + 2ax + 3b = 0$
   • C.$2ax^2 - 3bx + 2a = 0$
   • D.$2ax^2 + 3bx + 2a = 0$
5. 5.If $a : b = c : d$, which of the following correctly shows that $3a + 2b : 3a - 2b = 3c + 2d : 3c - 2d$?
   • A.Express $a$ and $c$ in terms of $b$ and $d$ using a common ratio $k$, then simplify both sides to $\frac{3k + 2}{3k - 2}$.
   • B.Cross-multiply the given ratio to get $ad = bc$, then substitute into both sides to verify equality.
   • C.Assume $a = c$ and $b = d$, then directly substitute to show both sides are equal.
   • D.Expand both sides using the distributive property and cancel common terms to prove equality.