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Question 01 - City of London School for Girls Maths sample paper 2

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Question 16 The Grammar School at Leeds 11 Pus Maths Entrance Paper 2021

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Question 15 The Grammar School at Leeds 11 Pus Maths Entrance Paper 2021

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Question 23 King's High Warwick 11 Plus Maths Entrance Exam Paper

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Question 34 - St Anselms College 2021 11 Plus Maths Sample Paper 1

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Factors Explained for 11 Plus Maths Exams

1. Factors

Factors are the numbers that can divide another number without any remainder. Factors are a part of our daily life, such as dividing something into equal parts, comparing and exchanging money, making calculations and understanding time. For example, 6 can be factored as 1 × 6 and 2 × 3. Hence, the factors of 6 are 1, 2, 3 and 6.

1.1 Properties of Factors

The properties of factors are given below:

  • 1 is a factor of every number.
  • Every natural number is a factor of itself.
  • Apart from 0 and 1, all the whole numbers have at least two factors.
  • Zero is not a factor of any non-zero number.
  • Other than zero, all integers are factors of zero. 
  • Every factor is less than or equal to the given number.
  • The number of factors of a given number is finite.

1.2 How to find Factors of a number?

Factors are the numbers you multiply together to get another number. We can use both "Division" and "Multiplication" to find the factors.

Factors by Division

To find the factors of a number using division, we follow these steps:

  • Find all the numbers less than or equal to the given number.
  • Divide the given number by each of the numbers.
  • Factors are numbers that will divide into a whole number with no remainder.

For example, finding the factors of 8 using division.

The numbers less than or equal to 8 are 1, 2, 3, 4, 5, 6, 7 and 8. Dividing 8 by each of these numbers:

01 Factors Article

We can observe that divisors 1, 2, 4, and 8 give zero as the remainder. Thus, factors of 8 are 1, 2, 4, and 8.

Factors by Multiplication

To find the factors using the multiplication, we follow these steps:

  • Write the number as the multiplication of two numbers in different possible ways.
  • All these numbers in the multiplications are the factors of the given number.

For example, finding the factors of 24 using multiplication.

02 Factors Article

All the numbers that are involved in these multiplications are the factors of the given number. Thus, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

Quiz Questions
11. Factors
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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.

    You should, therefore, make sure that the Maths online subscriptions fulfil your needs before you subscribe.

    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.

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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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