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Knowing the compass points will help when playing this quiz.

Position (Difficult)

This 11 Plus Maths quiz tests advanced ideas about position, movement, and angles, helping pupils understand how shapes and directions relate to real-world motion.

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Fascinating Fact:

The Earth’s rotation speed at the equator is about 1,670 kilometres per hour, creating a perfect 360° spin every day.

In 11 Plus Maths, pupils learn how to describe position and movement using degrees, coordinates, and bearings. These skills are essential for understanding maps, navigation, and geometry problems.

Key Terms

Rotation: A circular movement around a fixed point, measured in degrees or turns.
Bearing: The direction of an object measured clockwise from north, shown in degrees.
Coordinate Grid: A set of lines that help describe the exact position of a point using (x, y) values.

Discover more about 11 Plus subjects in our guide for parents on 11 Plus subjects.

Frequently Asked Questions (Click to see answers)

How are angles used to describe movement?

Angles describe how much something turns. A 90° turn means a quarter turn, 180° means half a turn, and 360° means a full rotation back to the starting point.

What do bearings help us calculate?

Bearings are used to calculate precise directions in navigation and geometry, helping determine the path between two points using degrees from north.

Why are coordinates important in advanced maths?

Coordinates allow us to plot points and shapes accurately on a graph, which is vital for solving equations, mapping, and understanding spatial relationships.

Try These Related Quizzes

1 .

Which direction does the straight line starting at (0, 0) and ending at (6, 6) point in?

A diagram will help a lot in doing these questions

2 .

What are the coordinates of the point that is the same distance away from the x-axis as the point
(0, 5)?

(0, -5)

(-5, 0)

(5, 0)

(5, 5)

(0, 5) is at 5 on the positive y-axis: 5 units above the x-axis. (0, -5) is at -5 on the negative y-axis: 5 below the x-axis

3 .

You are facing NE. If you turn through 180° anticlockwise and then 135° 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'. 180° = two lots of 90° (a half turn) anticlockwise makes you face SW. 135° clockwise = 3 lots of 45° = three-eighths of a turn makes you face N

4 .

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

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

5 .

Which of the following is the angle between NE and S?

315°

45°

225°

135°

Three lots of 45°. If you rotated in the anticlockwise direction, it would be five lots of 45° = 225°. Whenever you can, always give the smallest angle. Note: 225° anticlockwise + 135° clockwise = 360°

6 .

If you join up the points A (0, 0), B (1, 0), C (1, -1), D (0, -1) with straight lines you will get a square that lies in a certain quadrant. If the square is rotated anticlockwise through 90° about the origin (0, 0), which quadrant will it end up in and what will its new coordinates be?

A (0, 0), B (1, 0), C (1, -1), D (0, 1) in the first quadrant

A (0, 0), B (0, 1), C (1, 1), D (1, 0) in the first quadrant

A (0, 0), B (0, -1), C (-1, -1), D (-1, 0) in the third quadrant

A (0, 0), B (1, 0), C (0, -1), D (-1, -1) in the third quadrant

The square is initially in the fourth quadrant. Join up the four corners with straight lines (the lengths of which should be 1 unit) 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!

7 .

Eddie is tracing out a straight line path in the Cartesian plane. He starts at A (0, 0) and moves as follows: 3 cm E to point B, then NW to point C, which is due North of point A. From there he moves the same distance SW to point D, and finally 6 cm S to point E, where he stops. What are the coordinates of point E?

E (-3, 6)

E (3, -6)

E (-3, -6)

E (3, 6)

A (0, 0), B (3, 0), C (0, 4), D (-3, 0), E (-3, -6). ABC is a right-angled triangle: 3, 4, 5: that's how you know that D is (0, 4). Draw it!

8 .

How many complete rotations are there in 3,249°?

There are 3,249° ÷ 360° = 9 complete rotations

9 .

Which coordinates are NW of (3, -3)?

(3, 3)

(-3, 3)

(-3, -3)

(3, -3)

(3, -3) is SE of (0, 0). Join up (0, 0) and (3, -3) with a straight line and rotate the line about (0, 0) through 180° to get to NW: you should end up at (-3, 3)

10 .

A circle with centre (0, 0) and diameter 6 cm is drawn on the coordinate plane. Which points will the circle pass through?

(3, 0), (0, 3), (-3, 0), (0, -3)

(6, 0), (0, 6), (-6, 0), (0, -6)

(6, 0), (6, 6), (-6, 0), (0, -6)

(6, 0), (0, 6), (-6, -6), (0, -6)

The radius is half the diameter = 3 cm; therefore, the circle will pass through those points that are at a distance of 3 cm from its centre (0, 0)

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