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Sign showing North, East, South and West

North, East, South and West are found at 0^o, 90^o, 180^o and 270^o.

Position 2 (Difficult)

This 11 Plus Maths quiz challenges pupils to think about angles, turns, and bearings, using real-world examples to test understanding of position and direction.

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(quiz starts below)

Fascinating Fact:

Pilots often make turns at a bank angle of about 15° for comfort and 25° for speed, precise maths that keeps flights smooth and safe.

In 11 Plus Maths, position and direction go beyond simple left or right turns. Pupils learn to measure rotations in degrees, use coordinates to describe points, and apply these skills in real-world problem solving.

Key Terms

Angle: The amount of turn between two lines that meet at a point, measured in degrees.
Rotation: The action of turning a shape around a fixed point by a set angle.
Bearing: A direction measured clockwise from north, often used in navigation.

Learn more about 11 Plus preparation in our guide for parents on 11 Plus sample questions.

Frequently Asked Questions (Click to see answers)

How are degrees used to show turns?

Degrees describe how much something has turned. A 90° turn means a quarter turn, 180° is a half turn, and 360° is a full rotation.

What is the difference between clockwise and anticlockwise?

Clockwise movement follows the same direction as a clock’s hands, while anticlockwise moves in the opposite direction.

Where do we use bearings in everyday life?

Bearings are used in navigation, aviation, and engineering to measure direction and help vehicles, ships, and aircraft stay on course.

Try These Related Quizzes

1 .

Which direction does the straight line starting at (1, 1) and ending at (-1, 3) point in?

A diagram will help a lot in doing these questions!

2 .

Which of the following is the angle between SW and N?

360^o

135^o

225^o

315^o

Seven lots of 45^o which is the same as NW

3 .

If you draw out a straight line path starting at A (1, 3) and move as follows: 5 cm E to point B, then SE to point C, which is due South of point A. From there you move 6 cm N to point E, where you stop. What are the coordinates of point E?

E = (1, 4)

E = (4, 4)

E = (4, 1)

E = (1, 1)

The best way to work this out is with a diagram – it’s very hard to keep all that information in your head!

4 .

You are facing SW. If you turn through 90^o anticlockwise and then 135^o clockwise, which direction will you be facing now?

'Anticlockwise' means that you turn (rotate) in the opposite direction to which the hands of the clock turn: the hands of the clock turn 'clockwise'. 90^o anticlockwise makes you face SE. Then, 135^o = three lots of 45^o clockwise, which makes you face W

5 .

If you join up the points A (-2, 0), B (-2, 2), C (0, 2), D (0, 0) with straight lines you will get a square that lies in a certain quadrant. If the square is rotated anticlockwise through 90^o about the origin (0, 0), which quadrant will it end up in and what will its new coordinates be?

A (0, 2), B (2, 2), C (2, 0), D (0, 0) in the first quadrant

A (0, 2), B (-2, 2), C (-2, 0), D (0, 0) in the third quadrant

A (0, -2), B (2, -2), C (2, 0), D (0, 0) in the fourth quadrant

A (0, -2), B (-2, -2), C (-2, 0), D (0, 0) in the third quadrant

The square is initially in the second quadrant. Join up the four corners with straight lines (the lengths of which should be 2 units) to the centre of rotation (0, 0). Now rotate the lines and watch where their end points end up: these will give you the positions of the new coordinates of the square. Draw it!

6 .

You are facing E. If you turn through 315^o anticlockwise and then 225^o clockwise, which direction will you be facing now?

315^o anticlockwise = seven lots of 45^o (seven-eighths of a turn) makes you face SE. 225^o clockwise = 5 lots of 45^o = (five-eighths of a turn) makes you face N

7 .

A circle with centre (3, -3) and diameter 8 cm is drawn on the coordinate plane. Which points will the circle pass through?

(3, -1), (7, 3), (3, 7), (-1, -3)

(3, 1), (7, -3), (3, -7), (-1, -3)

(-3, 1), (-7, 3), (3, -7), (-1, -3)

(3, 1), (7, -3), (-3, 7), (1, -3)

The radius is half the diameter = 4 cm; therefore, the circle will pass through those points that are at a distance of 4 cm from its centre (3, -3)

8 .

What are the coordinates of the point that is the same distance away from the y-axis as the point (4, 0)?

(-4, 0)

(0, 4)

(0, 0)

(2, 4)

(4, 0) is at 4 on the positive x-axis: 4 units to the right the y-axis. (-4, 0) is at -4 on the negative x-axis: 4 to the left of the y-axis

9 .

How many half rotations are there in 1,260^o?

There are 1,260^o ÷ 180^o = 7 half rotations

10 .

Which coordinates are SE of (1, 3)?

(-1, 5)

(1, -5)

(5, -1)

(-5, 1)

Starting at (1, 3) draw a line 135^o from North. All points along this line (including 5, -1) lie SE of (1, 3)

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

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