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11+
11-Plus Maths
Position 3 (Difficult)
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Q.1
You are facing SW. If you turn through 225° anticlockwise and then 90° clockwise, which direction will you be facing now?
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E
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NE
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SE
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N
Q.2
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?
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A (3, 6) B (5, 6), C (5, 4) D (3, 4) in the first quadrant
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A (-3, 6), B (-5, 6), C (-5, 4) D (-3, 4) in the second quadrant
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A (3, -6), B (5, -6), C (5, -4) D (3, -4) in the third quadrant
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A (3, -6), B (5, -6), C (5, -4) D (3, -4) in the fourth quadrant
Q.3
Which coordinates are SW of (3, 12)?
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(-1, -10)
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(1, -10)
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(-1, 10)
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(1, 10)
Q.4
You are facing SE. If you turn through 45° anticlockwise and then 315° clockwise, which direction will you be facing now?
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N
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NE
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E
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SE
Q.5
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?
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(-11, -1)
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(1, -11)
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(-1, -11)
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(-1, 11)
Q.6
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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(-3, 2), (-7, 6), (-11, 2), (-7, -2)
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(5, -2), (7, -4), (9, -2), (7, 0)
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(3, -2), (7, -6), (11, -2), (7, 0)
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(-5, 2), (-7, 4), (-9, 2), (-7, 0)
Q.7
How many degrees are there in seven-half rotations?
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315°
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630°
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1,260°
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2,520°
Q.8
Which of the following is the angle between E and NW?
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115°
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125°
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135°
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145°
Q.9
Which direction does the straight line starting at (-5, 2) and ending at (-2, -1) point in?
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SW
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SE
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NW
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NE
Q.10
What are the coordinates of the point that is the same distance away from the x-axis as the point (0, -8)?
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(0, 8)
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(8, 8)
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(8, 0)
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(-8, 0)
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