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11-Plus Maths
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Q.1
What are the coordinates of the point that is the same distance away from the x-axis as the point (0, 5)?
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(0, -5)
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(-5, 0)
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(5, 0)
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(5, 5)
Q.2
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?
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E (-3, 6)
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E (3, -6)
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E (-3, -6)
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E (3, 6)
Q.3
You are facing NE. If you turn through 180° anticlockwise and then 135° clockwise, which direction will you be facing now?
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N
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NW
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NE
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E
Q.4
How many complete rotations are there in 3,249°?
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9
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7
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12
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8
Q.5
A circle with centre (0, 0) and diameter 6 cm is drawn on the coordinate plane. Which points will the circle pass through?
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(3, 0), (0, 3), (-3, 0), (0, -3)
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(6, 0), (0, 6), (-6, 0), (0, -6)
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(6, 0), (6, 6), (-6, 0), (0, -6)
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(6, 0), (0, 6), (-6, -6), (0, -6)
Q.6
Which direction does the straight line starting at (0, 0) and ending at (6, 6) point in?
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NW
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SE
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NE
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E
Q.7
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?
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A (0, 0), B (1, 0), C (1, -1), D (0, 1) in the first quadrant
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A (0, 0), B (0, 1), C (1, 1), D (1, 0) in the first quadrant
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A (0, 0), B (0, -1), C (-1, -1), D (-1, 0) in the third quadrant
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A (0, 0), B (1, 0), C (0, -1), D (-1, -1) in the third quadrant
Q.8
You are facing NW. If you turn through 315° anticlockwise and then 225° clockwise, which direction will you be facing now?
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W
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E
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NE
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SW
Q.9
Which coordinates are NW of (3, -3)?
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(3, 3)
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(-3, 3)
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(-3, -3)
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(3, -3)
Q.10
Which of the following is the angle between NE and S?
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315°
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45°
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225°
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135°
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