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Oundle School - 9 Plus Maths Practice Paper 2014 Question 31

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Question 11 Haberdashers Monmouth Girls School HABS Entrance Examination 2015

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Question 27 - Merchant Taylors School 11 Plus Maths Specimen Paper 1

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Question 23-Merchant Taylors School 11 Plus Maths Entrance Examination 2021

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Prime and Composite Numbers: 11+ Maths Exam

1. Prime Numbers

Any whole number greater than 1 that is divisible only by 1 and itself, is defined as a prime number. Consider an example of number 7, which has only two factors 1 and 7. This means it is a prime number. Let's take another example of the number 8, which has more than two factors, i.e 1, 2, 4, and 8. This means 8 is not a prime number. 

1.1 List of Prime numbers

There are 25 prime numbers from 1 to 100. The complete list of prime numbers from 1 to 100 is given below:

List of Numbers

Prime Numbers

Between 1 and 20 2, 3, 5, 7, 11, 13, 17, 19
Between 21 and 40 23, 29, 31, 37
Between 41 and 60 41, 43, 47, 53, 59
Between 61 and 80 61, 67, 71, 73, 79
Between 81 and 100 83, 89, 97

 

1.2 Properties of Prime Numbers

Some of the properties of prime numbers are as follows:

  • A prime number is a whole number greater than 1.
  • It has exactly two factors, that is, 1 and the number itself.
  • There is only one even prime number, that is, 2.
  • Every number can be expressed as the product of prime numbers.

2. Composite numbers

A composite number is divisible by the number itself, the number 1 and at least one other number. In other words, composite numbers are whole numbers that have more than two factors. Consider an example of number 16, which has more than two factors, i.e 1, 2, 4, 8 and 16. This means 16 is a composite number. Let's take another example of the number 11, which has only two factors 1 and 11. Hence, 11 is not a composite number.

3. Prime Numbers vs Composite numbers

 

Prime Numbers

Composite Numbers

Prime Numbers are whole numbers greater than 1, having only two factors, 1 and the number itself. Composite Numbers are the whole numbers greater than 1 having at least three factors.
2 is the smallest and the only even prime number. 4 is the smallest composite number.
Examples of prime numbers are 2, 3, 5, 7, 11, etc. Examples of composite numbers are 4, 6, 8, 9, 10, etc.
Quiz Questions
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11+ Maths Topics

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  • Frequently Asked Questions
    What is a good score in 11+ Maths ?

    What counts as a "good" score will vary depending on the school you want to attend. The standardized 11 Plus test score average across the country is roughly 100. The highest average in some areas is 111. The lowest scores would often fall between 60 and 70, while the highest scores would normally fall between 130 and 140. To achieve excellent marks on 11+ Maths Exams, practice 11+ Maths topic-wise questions.

    How to prepare for the 11+ Maths exam?

    The best way to prepare for the 11+ Maths Exam is by practicing 11+ Maths topic-wise questions regularly.

    Can I cancel my subscription?

    Maths online subscriptions are “Non-Refundable“. No refunds can be issued for any reason. This is because of the nature of digital products.

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    As these are digital products, we advise parents to go through our Free Past Papers provided on our website and once decided they can buy subscriptions.

    Maths:
    11+ Sample Paper with answers - 1

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    What kind of questions are asked in the 11 Plus Maths exam?

    The majority of the 11 Plus Maths questions are mathematical problem-solving, where pupils need to understand and apply mathematical concepts. With regular practice of 11+ Maths Topic-wise questions, you will pass the 11-plus Maths Exam with a high score.

    What do you need to know for the 11 Plus Maths exam?

    The children must master the following topics for the 11 plus exams

    • Number and place value.
    • Addition, subtraction, multiplication, and division.
    • Fractions, percentages, decimals.
    • Ratio and proportion.
    • Algebra.
    • Measurement.
    • Geometry (properties and position of shapes, coordinates)
    • Statistics.

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