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Divisibility Rules (C): Combining Tests for Composite Factors worksheet

Suitable for Year groups: 7, 8
GCSE Tier:
Foundation
Targeting grades: 1-3
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Prerequisite knowledge: Divisibility rules for 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.
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Divisibility Rules (C): Combining Tests for Composite Factors worksheet description

This advanced worksheet builds on divisibility concepts by combining rules to test for composite number factors.

In Section A, students show that numbers are divisible by 6 by proving divisibility by both 2 and 3. They then extend this idea with factor pair reasoning for 12.

Section B asks which pairs of factors would be used when identifying divisibility for 20, 24, 36, and 45

In Section C, pupils will find a number from the given lists which are divisible by 40, 72, 56, and 33.

Lastly, in Section D, students are presented with true or false statements about divisibility by 28, 24, and 99, where students must show working for each conclusion.
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