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Question 06 - Bancrofts School 11 Plus Maths Sample Entrance Paper 2023

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Question 05 - Bancrofts School 11 Plus Maths Sample Entrance Paper 2023

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Question 33 Sevenoaks School Year 7 Entrance Exam 2021

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Question 14 Kings College School Section A 11 Plus for 2023 entry Pretest for 2025 Entry

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Question 11 - Haberdashers Askes Boys School HABS - 11 Plus Entrance Examination 2007

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Question 18 - Bancrofts School 11 Plus Maths Sample Paper 1 2021

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Group 2 Maths 2017 - Question 41

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ISEB 11 Plus Maths 2008-09 Practice Paper Question 26

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ISEB 11 Plus Maths 2008-09 Practice Paper Question 25

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ISEB 11 Plus Maths 2008 Practice Paper Question 23

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Bancroft’s School - Sample 11+ Maths Paper 2020 Question 26, Geometry, Angles, Directions

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James Allen’s Girls’ School - 11+ Maths Sample Paper 1 - 2020 Question 08, Numbers, Word Problems, Logical Problems, Geometry, Coordinates, Directions

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Directions and Angles

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Directions, Word Problems, Triangle and Area and Perimeter

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Permutation & Combinations, Directions and Counting

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Directions and Angles

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Directions, Time Speed Distance and Addition

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Permutation & Combinations and Directions

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Directions

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Perimeter and Directions

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Directions

1. Directions: Clockwise and anticlockwise

Directions are guides which help to move from one place to another.

Anticlockwise and clockwise are ways to show the direction of a turn.

Clockwise: Clockwise direction means moving in the direction of the hands of a clock. You will observe the clockwise direction motion while closing taps, tightening screws, etc.

11+ Topicwise Directions Article image 1

The above arrow shows a clockwise direction.

Anticlockwise: Anticlockwise direction means moving in the opposite direction of the hands of a clock. Angles are always measured using a protractor from 0 degrees in an anticlockwise direction.

11+ Topicwise Directions Article image 2

The arrow above shows anticlockwise direction.

2.Compass Directions and Angles

A compass has four main directions North (N), South (S), East (E) and West (W).

11+ Topicwise Directions Article image 3

There are 90 degrees between N and E, E and S, S and W, W and N.

These four main directions are further divided into eight compass directions as shown below.

11+ Topicwise Directions Article image 4

Northeast (NE) - Halfway between North and East.

                         Angle between N and NE = Angle between NE and N = 45 degrees

Southeast (SE) - Halfway between East and South.

                          Angle between E and SE = Angle between SE and S = 45 degrees

Southwest (SW) - Halfway between South and West.

                           Angle between S and SW = Angle between SW and W = 45 degrees

Northwest (NW) - Halfway between West and North.

                           Angle between W and NW = Angle between NW and N = 45 degrees

2.1 Solved Examples

Example 1: Steve is facing East. He turns 225° in an anticlockwise direction. Which direction is Steve facing now?

Solution:

11+ Topicwise Directions Article image 5

Angle from East to North = 90°

Angle from East to West = 90° + 90° = 180°

Angle from East to Southwest = 180° + 45° = 225°

Steve is facing Southwest.

Example 2: Eric is facing North. How many degrees would he need to turn, clockwise, to face Southeast?

Solution:

11+ Topicwise Directions Article image 6

From clockwise.

Angle from Northwest to North = 45°                                         

Angle from Northwest to East = 45° + 90° = 135°

Angle from Northwest to South= 135° + 90° = 225°  

Angle from Northwest to Southwest = 225° + 45° = 270°              

Eric needs to turn 270° clockwise to face Southeast.

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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.

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    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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