Home > Eleven-Plus (11+) > Quizzes > 11 Plus (11+) Maths Practice Test: Position - (Difficult) - Coordinates
11 Plus (11+) Maths Practice Test: Position - (Difficult) - Coordinates
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Avg score: 8% • Most missed: “If you draw out a straight line path starting at A (1, 3) and move as follows: 5…”
To get all the questions right you will need to understand the number of degrees in a complete rotation, a half rotation, a quarter rotation and an eighth of a rotation. You’ll also need to know all about where coordinates are placed on a graph and the difference between x and y axis, as well as the four quadrants. Map directions are given using bearings. Some people use a 'thumb compass' when reading maps. These are very basic compasses that normally only show magnetic north. They are used in orienteering. But if a compass is held over a map, how can people read what is underneath the map?... Show more
11 Plus (11+) Maths Practice Test: Position - (Difficult) - Coordinates
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25 Questions

1. You are facing NE. If you turn through 180° anticlockwise and then 135° clockwise, which direction will you be facing now?
2. What are the coordinates of the point that is the same distance away from the x-axis as the point
(0, 5)?
3. You are facing SW. If you turn through 90o anticlockwise and then 135o clockwise, which direction will you be facing now?
4. Which of the following is the angle between NE and S?
5. How many half rotations are there in 1,260o?
6. Which coordinates are SW of (3, 12)?
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?
8. You are facing NW. If you turn through 315° anticlockwise and then 225° clockwise, which direction will you be facing now?
9. Which coordinates are SE of (1, 3)?
10. 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 90o about the origin (0, 0), which quadrant will it end up in and what will its new coordinates be?
11. Which direction does the straight line starting at (1, 1) and ending at (-1, 3) point in?
12. How many degrees are there in seven-half rotations?
13. What are the coordinates of the point that is the same distance away from the y-axis as the point (4, 0)?
14. 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?
15. A circle with centre (3, -3) and diameter 8 cm is drawn on the coordinate plane. Which points will the circle pass through?
16. You are facing SE. If you turn through 45° anticlockwise and then 315° clockwise, which direction will you be facing now?
17. Which coordinates are NW of (3, -3)?
18. If you join up the points A (-6, -3), B (-6, -5), C (-4, -5), D (-4, -3) with straight lines you will get a square that lies in a certain quadrant. If the square is rotated anticlockwise through 90° about the point (0, 0), which quadrant will it end up in and what will its new coordinates be?
19. You are facing SW. If you turn through 225° anticlockwise and then 90° clockwise, which direction will you be facing now?
20. Which direction does the straight line starting at (0, 0) and ending at (6, 6) point in?
21. Cassie is drawing a straight line path starting at point A (-1, -1). She then moves as follows: 2 cm West to point B, SE to point C which is due South of point A, and 8 cm South to point D. What are the coordinates of point D?
22. How many complete rotations are there in 3,249°?
23. Which direction does the straight line starting at (-5, 2) and ending at (-2, -1) point in?
24. 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?
25. A circle with centre (-7, 2) and diameter 4 cm is drawn on the coordinate plane. Which points will the circle pass through?

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