A number sequence is a list of numbers connected by a rule or pattern.
For example, 1, 3, 5, 7, …….
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.
(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.
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.
Triangular numbers can be represented as equilateral triangles of dots.
For example,
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
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,...
A sequence where all the numbers are square numbers is called a square number sequence.
For example, 16, 25, 36, 49, …..
A sequence where all the numbers are cube numbers is called a cube number sequence.
For example, 8, 27, 64, 125,...
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,
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
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.
The best way to prepare for the 11+ Maths Exam is by practicing 11+ Maths topic-wise questions regularly.
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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.
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