ICSE Class 10

ICSE Class 10 Probability — Mock Test (2027)

Free online mock test for Probability (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 Probability 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. 1.A number is chosen at random from the numbers $-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5$. Then the probability that the square of this number is less than or equal to 1 is:
    • A.$\frac{8}{11}$
    • B.$\frac{3}{11}$
    • C.$\frac{6}{11}$
    • D.$\frac{7}{11}$
  2. 2.24 out of the 90 two-digit numbers are divisible by 3 and not by 5. What is the probability of selecting such a number?
    • A.2/15
    • B.4/15
    • C.1/15
    • D.4/90
  3. 3.20 tickets, on which numbers 1 to 20 are written, are mixed thoroughly and then a ticket is drawn at random out of them. What is the probability that the number on the drawn ticket is a multiple of 3 or 7?<br><br>
    • A.$\frac{1}{5}$
    • B.$\frac{1}{4}$
    • C.$\frac{3}{4}$
    • D.$\frac{2}{5}$
  4. 4.A box contains some black balls and 30 white balls. If the probability of drawing a black ball is two-fifths of the probability of drawing a white ball, then the number of black balls in the box is:
    • A.8
    • B.12
    • C.18
    • D.20
  5. 5.A letter of the word SECONDARY is selected at random. What is the probability that the letter selected is a vowel?
    • A.$\frac{1}{9}$
    • B.$\frac{1}{3}$
    • C.$\frac{2}{9}$
    • D.$\frac{4}{9}$

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