This worksheet strengthens students’ ability to test divisibility using rules for 7, 9, and 11, helping them recognise number properties and develop logical reasoning.
Section A introduces the rule for divisibility by 7, where students multiply the last digit by 5 and add it to the remaining digits, repeating the process to determine divisibility.
Section B focuses on divisibility by 9, guiding learners to find the sum of the digits and check whether the result is a multiple of 9.
Section C explains how to test divisibility by 11 by alternating subtraction and addition of digits.
In Section D, students apply all three rules to a mixed list of numbers and classify them based on which rules they satisfy. This section encourages reasoning and deduction by identifying numbers divisible by one, two, or all three of the given factors.
