Year 7 - Maths
Divisibility tests for 5 and 10
Properties of number: factors, multiples, squares and cubes
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Study Guides
This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils develop their understanding of factors and multiples, then extend this knowledge to learn general divisibility tests for integers and develop strategies to determine the highest common factor and lowest common multiple of two or more integers.
Lesson Summary
You will learn to identify and explain whether a number is or is not a multiple of a given integer.
Key Notes
- For any multiple of 10 the place value of the ones column is zero.
- For any multiple of 5 the place value of the ones column is zero or five.
- Any multiple of 10 is also a multiple of 5 and 2.
Vocabulary To Learn
- Divisibility: Divisibility is a number's ability to be exactly divided by another number, leaving no remainder.
Common Mistakes To Avoid
- A number is a prime if it is not divisible by 2, 3, 5 or 10.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
For any multiple of 10 the place value of the ones column is zero. For any multiple of 5 the place value of the ones column is zero or five.
2. Use this key word in a maths sentence and explain it clearly. 'Divisibility'
Divisibility is a number's ability to be exactly divided by another number, leaving no remainder. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: A number is a prime if it is not divisible by 2, 3, 5 or 10. Correction: A factor of a number can be greater than 10.
More Lessons In This Unit
- Calculating integers from their prime factor expressions Study Guide
- Checking understanding of factors, multiples, squares and cubes Study Guide
- Checking understanding of prime numbers Study Guide
- Divisibility tests for 2 and 3 Study Guide
- Divisibility tests for 4 and 8 Study Guide
- Divisibility tests for 6 and 9 Study Guide
- Expressing an integer as a product of its prime factors Study Guide
- HCF or LCM Study Guide
- Highest common factor Study Guide
- Listing factors Study Guide
- Listing multiples Study Guide
- Lowest common multiple Study Guide
- Power notation Study Guide
- Powers and roots using a calculator Study Guide
- Problem solving with factors, multiples, squares and cubes Study Guide
- Securing understanding of factors, multiples, squares and cubes Study Guide
- Square and cube numbers Study Guide
- Square and cube roots Study Guide
Browse all guides in the Year 7 Maths guide library.