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
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1.The triplicate ratio of $1:2$ is:
- A.$3:6$
- B.$1:8$
- C.$3:9$
- D.$3:1$
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2.Divide Rs. 782 among P, Q, R in the ratio 1/2 : 2/3 : 3/4. Which of the following correctly represents the shares of P, Q, and R?
- A.P = Rs. 204, Q = Rs. 272, R = Rs. 306
- B.P = Rs. 180, Q = Rs. 280, R = Rs. 322
- C.P = Rs. 220, Q = Rs. 260, R = Rs. 302
- D.P = Rs. 196, Q = Rs. 294, R = Rs. 292
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3.If $x : y = 10 : 3$, find the value of $(3x^2 + 2y^2) : (3x^2 - 2y^2)$.
- A.53 : 41
- B.53 : 47
- C.47 : 53
- D.106 : 94
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4.If $\frac{a^3 + 3ab^2}{3a^2b + b^3} = \frac{x^3 + 3xy^2}{3x^2y + y^3}$, which of the following must be true?
- A.$\frac{x}{a} = \frac{b}{y}$
- B.$\frac{x}{a} = \frac{y}{b}$
- C.$\frac{x}{b} = \frac{y}{a}$
- D.$x = a$ and $y = b$
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5.A school has 630 students. The ratio of the number of boys to the number of girls is 3:2. This ratio changes to 7:5 after the admission of 90 new students. How many of the newly admitted students are boys?
- A.30 boys
- B.42 boys
- C.60 boys
- D.75 boys
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