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Number Patterns and Sequences Questions and Answers

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Question 22 - Sevenoaks School Year 7 Entrance Exam 2023

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Question 21 - Sevenoaks School Year 7 Entrance Exam 2023

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Oundle School - 9 Plus Maths Practice Paper 2014 Question 23

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Oundle School - 9 Plus Maths Practice Paper 2014 Question 10

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Question 34 Haberdashers Monmouth Girls School HABS Entrance Examination 2015

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Question 33 Haberdashers Monmouth Girls School HABS Entrance Examination 2015

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Question 39 - Merchant Taylors School 11 Plus Maths Specimen Paper 1

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Question 36 Dulwich College Maths Speciment Paper J

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Number Patterns and Sequences for the 11 Plus Exams

1. What is a number sequence?

A number sequence is a list of numbers connected by a rule or pattern. 

For example, 1, 3, 5, 7, …….

1.1 Linear Sequences

A number pattern that increases (or decreases) by the same amount each time is called a linear sequence. The amount it increases or decreases by is known as the common difference.

For example: 5, 9, 13, 17, …….

In this example, the rule is to add 4 each time.

1.2 Nth term formula:

(Can be used for linear sequences only)

This formula can be used to find any term in that sequence. 

Formula: nth term =a + (n - 1) × d

Here ‘a’ is the first term of the sequence and ‘d’ is a common difference.

1.3 Geometric Sequence

A sequence which goes from one term to the next by multiplying or dividing by the same value each time is known as a geometric sequence. The number multiplied or divided is known as the common ratio. 

For example, 105, 210, 420, 840, …….

In this example, the rule is to multiply by 2 each time.

1.4 Triangular Number Sequence

Triangular numbers can be represented as equilateral triangles of dots. 

For example,

01 Number Patterns _ Sequences

In this example, the term-to-term rule for the triangle numbers is to add one more each time.

Formula: nth term = n(n + 1) ÷ 2

1.5 Fibonacci Sequences

Sequences, where each term (except the first and second) is a sum of the previous two terms known as Fibonacci sequences. 

For example, 4, 5, 9, 14, 23,...

1.6 Square Number Sequence

A sequence where all the numbers are square numbers is called a square number sequence. 

For example, 16, 25, 36, 49, …..

1.7 Cube Number Sequence

A sequence where all the numbers are cube numbers is called a cube number sequence. 

For example, 8, 27, 64, 125,...

2. Patterns

A pattern is a series that is repeated more than one time. From the shape of a flower to the numbers on a clock, everywhere you look you will be able to find some sort of pattern, whether man-made or natural. However, patterns can be much more than a set of shapes. 

For example,

02 Number Patterns _ Sequences

In this example, Mr Doyle is adding 2 squares in each pattern in a particular way.

Pattern 1: No. of squares: 1

Pattern 2: No. of squares: 3

Pattern 3: No. of squares: 5

Pattern 4: No. of squares: 7

Quiz Question
26. Number Patterns & Sequences
11+ Maths Topicwise Worksheets Banks

02 Number Patterns _ Sequences

11 Plus Maths Topic Wise Article
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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.

    Maths:
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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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