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Question 29 Emanuel School Paper A

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Question 32-Latymer Upper School 11 Maths Sample Paper 1 2021

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Question 38-Reigate Grammar 11 Plus Maths Entrance Examination 2021

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Question 15-Oundle School First Form Mathematics 2019

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Coordinates of points : All the essential skills for 11 Plus Exams

1. What are coordinates?

Coordinates are a pair of numbers that help us find the position of points on a grid. Learning about coordinates and being able to plot points in graphs or maps is an essential skill for 11 plus exams.

1.1. Finding Coordinates of Points in graph

A graph has two axes: horizontal x-axis and a vertical y-axis. The point at which two axes intersect is called the origin - the coordinates of this point are (0, 0). Also along x-axis is positive x-axis and negative x-axis and along y-axis is positive and negative y-axes.  

Coordinates are written as (x, y) meaning the point on the x-axis is written first, followed by the point on the y-axis. The first number shows the position along the horizontal line or the x-axis. The second number shows the position along the vertical line or the y-axis.

Let's try to work out the coordinates of two points A and B labelled in the graph below.

01 Coordinates

  • Coordinates of Point A :
    • Step 1 :
      • Position of point A on x-axis(horizontal) = 4
      • Position of point A on y-axis(vertical) = 2
    • Step 2 :
      • Position of point A in coordinate form:
      • Coordinates of A are (4,2)
  • Coordinates of Point B :
    • Step 1:
      • Position of point B on x-axis(horizontal) = -2
      • Position of point B on y-axis(vertical) = -3
    • Step 2: 
      • Position of point B in coordinate form:
      • Coordinates of B are (-2,-3)

2. How to plot coordinates?

a) Point (5,3)

  • The first number in the brackets relates to the x axis.
  • The 5 means moving five places to the right, along the x axis.
  • The second number in the brackets relates to the y axis.
  • The 3 means moving three places up, along the y axis.

b) Point (-3,2)

  • The first number in the brackets relates to the x axis.
  • The -3 means moving three places to the left, along the x axis.
  • The second number in the brackets relates to the y axis.
  • The 2 means moving two places down, along the y axis.

Let us now see the above two points on the graph,

02 Coordinates

2.1 Solved Example

03 Coordinates

a) Plot the points A(0,3), B(2,5), C(6,3) and D(2,1) on the above grid.
What is the name of the quadrilateral formed by line joining the points A,B,C and D?

b) What are the coordinates of point of intersection of the diagonals of quadrilateral ABCD?

Solution:

a) Plotting the points A, B, C and D using the method discussed above,

04 Coordinates

 Quadrilateral ABCD is a Kite.

b) Diagonals are AC and BD.

05 Coordinates

E is the point of intersection of diagonals AC and BD.

Coordinates of E are (2,3)

Quiz Questions
44. Coordinates
11+ Maths Topicwise Worksheets Banks

44 Coordinates Worksheet.

 

11 Plus Maths Topic Wise Article
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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.

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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.
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