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
-
1.The mean proportional between 4 and 9 is:
- A.$\frac{5}{2}$
- B.$\frac{13}{2}$
- C.6
- D.6.5
-
2.Two numbers are in the ratio of $3 : 5$. If 8 is added to each number, then the ratio becomes $2 : 3$. Find the numbers.
-
3.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.$2ax^2 + 3bx + 2a = 0$
-
4.Given $x = \frac{\sqrt{a^2 + b^2} + \sqrt{a^2 - b^2}}{\sqrt{a^2 + b^2} - \sqrt{a^2 - b^2}}$, use componendo and dividendo to determine which of the following expressions correctly represents $b^2$ in terms of $a$ and $x$?
- A.$b^2 = \frac{2a^2x}{x^2 + 1}$
- B.$b^2 = \frac{a^2(x^2 + 1)}{2x}$
- C.$b^2 = \frac{2a^2}{x^2 + 1}$
- D.$b^2 = \frac{a^2x^2}{x^2 + 1}$
-
5.If $x, y$ and $z$ are in continued proportion, which of the following expressions simplifies to $\frac{x}{z}$?
- A.$\frac{(x + y)^2}{(y + z)^2}$
- B.$\frac{(x - y)^2}{(y - z)^2}$
- C.$\frac{(x + y)^2}{(y - z)^2}$
- D.$\frac{(x - y)^2}{(y + z)^2}$
Ready? Take the full 20-question test free — instant marking, no sign-up needed.
▶ Start free mock test