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.Arrange the following ratios in ascending order: 2 : 3, 8 : 15, 11 : 12, 7 : 16.
   • A.7 : 16, 8 : 15, 2 : 3, 11 : 12
   • B.2 : 3, 7 : 16, 8 : 15, 11 : 12
   • C.7 : 16, 2 : 3, 8 : 15, 11 : 12
   • D.8 : 15, 7 : 16, 11 : 12, 2 : 3
2. 2.What number must be added to each term of the ratio $5:7$ to make the new ratio $8:9$?
   • A.3
   • B.7
   • C.11
   • D.15
3. 3.If $(6x^2 - xy) : (2xy - y^2) = 6 : 1$, which of the following represents the ratio $x : y$?
   • A.3 : 2 only
   • B.2 : 3 only
   • C.3 : 2 or 2 : 3
   • D.6 : 1 or 1 : 6
4. 4.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.
5. 5.The monthly pocket money of Ravi and Sanjeev are in the ratio 5 : 7. Their expenditures are in the ratio 3 : 5. If each saves Rs. 80 every month, what is Ravi's monthly pocket money?
   • A.Rs. 300
   • B.Rs. 400
   • C.Rs. 500
   • D.Rs. 560