# How Many Numbers

## Worksheet Description

This worksheet is an exercise in applying divisibility rules, requiring students to generate their own examples of numbers that fit specific divisibility criteria. The questions vary in complexity, starting with simple rules like divisibility by 5 and 10, and then combining divisors such as 6 and 9, or 4 and 10, to find numbers that are multiples of both. It asks for specific types of numbers, such as two-digit numbers or any numbers, which requires students to think critically about the number sets they are working with. There are six questions in total, each designed to test a different combination of divisibility rules.

The worksheet is teaching students to actively use divisibility rules in a practical context, going beyond mere recognition and instead creating numbers that meet certain divisibility conditions. It helps students understand the concept of common multiples and how divisibility by multiple numbers works. By asking for two-digit numbers, it also restricts the set of possible answers, pushing students to apply the divisibility rules more thoughtfully. This exercise is useful for enhancing problem-solving skills and preparing students for more complex mathematical concepts that involve factors and multiples.