The seating arrangement is one of the most common question types, not only in 11 Plus exams but for various other competitive exams. In these questions, a group of people or objects are logically arranged following certain conditions mentioned in the problem. The arrangements are classified into the following four types.
a) Linear arrangement:
b) Double row arrangement:
c) Circular arrangement:
d) Rectangular arrangement:
For linear or double row arrangement problems:
For circular or rectangular arrangement problems:
a) There are three people A, B and C and two chairs. In how many ways can these three people occupy the two chairs?
Solution:
Let the boxes below represent two chairs.
List all the possibilities.
The total number of possibilities = 6
This is the case of permutation as the position of people (A, B and C) is important here.
b) A round table has six seats placed around it.
Six children Anna (A), Drew (D), Jimmy (J), Noah (N), Pam (P) and Ruby (R) sit at the table.
Jimmy sits down as shown in the diagram.
Drew does not sit next to him.
Noah has Drew sitting next to him on his left.
Anna sits opposite Drew.
Pam sits next to Jimmy.
On the diagram, show where the children sit down.
Solution:
Drew cannot sit next to Jimmy, so he can sit in seats marked 1, 2 and 3.
Anna sits opposite Drew, so Drew cannot sit in the place marked 2.
1 and 3 are the two possible seats for Drew.
Noah has Drew sitting on his left, while Anna sits opposite to Drew.
So the possible seating arrangements can be:
Pam sits next to Jimmy, but according to the second possibility above, there is no space left for Pam to sit next to Jimmy.
So the first possibility is correct, and the final seating arrangement is:
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.
The children must master the following topics for the 11 plus exams
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