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11+
11-Plus Maths
Position 2 (Difficult)
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Q.1
You are facing E. 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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NW
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N
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NE
Q.2
How many half rotations are there in 1,260 ?
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7
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9
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12
0%
14
Q.3
Which of the following is the angle between SW and N?
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360o
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135o
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225o
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315o
Q.4
A circle with centre (3, -3) and diameter 8 cm is drawn on the coordinate plane. Which points will the circle pass through?
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(3, -1), (7, 3), (3, 7), (-1, -3)
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(3, 1), (7, -3), (3, -7), (-1, -3)
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(-3, 1), (-7, 3), (3, -7), (-1, -3)
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(3, 1), (7, -3), (-3, 7), (1, -3)
Q.5
You are facing SW. If you turn through 90 anticlockwise and then 135 clockwise, which direction will you be facing now?
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NW
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W
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SW
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S
Q.6
What are the coordinates of the point that is the same distance away from the y-axis as the point (4, 0)?
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(-4, 0)
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(0, 4)
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(0, 0)
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(2, 4)
Q.7
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 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, 2), B (2, 2), C (2, 0), D (0, 0) in the first quadrant
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A (0, 2), B (-2, 2), C (-2, 0), D (0, 0) in the third quadrant
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A (0, -2), B (2, -2), C (2, 0), D (0, 0) in the fourth quadrant
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A (0, -2), B (-2, -2), C (-2, 0), D (0, 0) in the third quadrant
Q.8
Which direction does the straight line starting at (1, 1) and ending at (-1, 3) point in?
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NE
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N
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NW
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W
Q.9
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?
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E = (1, 4)
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E = (4, 4)
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E = (4, 1)
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E = (1, 1)
Q.10
Which coordinates are SE of (1, 3)?
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(-1, 5)
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(1, -5)
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(5, -1)
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(-5, 1)
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