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Position (Medium)
A circle with centre (0, 0) and diameter 4 cm is drawn on the coordinate plane.

Position (Medium)

In this 11-plus Maths quiz you are going to get some practice in dealing with the x-y coordinate axes (coordinate plane): you’ll also learn about quadrants. You may need to sketch some of the situations if you have difficulty in doing the questions.

As we mentioned in the first quiz on this position series, there are four quizzes which get progressively harder. This is the third and is therefore quite hard compared to the first two. If you haven't already played the first two (or got 10 out of 10 in them both), then please do (re)visit them. This ensures you have a good understanding and will mean you have a better chance of completing this one with full marks. When you have played this one (and got all questions correct), it's time to move onto our difficult quiz.

Good luck!

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1.
Line A is drawn through the points (2, 0) and (2, 8), and line B is drawn through the points (0, 2) and (0, 8). Which of the following statements about these lines is correct?
The lines intersect at an obtuse angle
The lines intersect at an acute angle
The lines intersect at right angles
The lines are parallel
If you draw the lines, you will see that line B lies on the y-axis and line A is parallel to it
2.
What shape do you get if you join up the points (0, 0), (-2, 0), (-1, 1) with straight lines and in which quadrant does it lie in?
A square in the third quadrant
A square in the second quadrant
A triangle in the second quadrant
A straight line lying on the negative x-axis
(0, 0) and (-2, 0) lie on the coordinate axes, but (-1, 1) lies in the second quadrant and this makes the triangle lie in this quadrant
3.
The second quadrant of the coordinate plane contains all the points (x, y) where the x value is negative and the y value is positive. Which of the following points lies in the second quadrant?
(-2, -4)
(2, -4)
(-2, 4)
(2, 4)
The x value is negative and the y value is positive
4.
The first quadrant of the coordinate plane contains all the points (x, y) where both the x and y values are positive. Which of the following points lies in the first quadrant?
(-1, -2)
(-1, 2)
(1, -2)
(1, 2)
The x and y values are BOTH positive
5.
A circle with centre (0, 0) and diameter 4 cm is drawn on the coordinate plane. Which points will the circle pass through?
(4, 0), (0, 4), (-4, 0), (0, -4)
(2, 0), (2, 2), (-2, 0), (0, -2)
(4, 0), (4, 4), (-4, 0), (0, -4)
(2, 0), (0, 2), (-2, 0), (0, -2)
The radius is half the diameter = 2 cm; therefore, the circle will pass through those points that are at a distance of 2 cm from its centre (0, 0)
6.
The third quadrant of the coordinate plane contains all the points (x, y) where both the x value and the y value are negative. Which of the following points lies in the third quadrant?
(-5, -5)
(-5, 5)
(5, -5)
(5, 5)
Both the x value and the y value are negative
7.
Where does the point (-5, 0) lie on the coordinate plane?
It lies on the positive part of the x-axis to the right of the origin (0, 0)
It lies on the positive part of the x-axis to the left of the origin (0, 0)
It lies on the negative part of the x-axis to the right of the origin (0, 0)
It lies on the negative part of the x-axis to the left of the origin (0, 0)
(x, y) = (-5, 0): the y value is 0, so the point lies at -5 on the negative part of the x-axis
8.
Where does the point (0, 5) lie on the coordinate plane?
It lies on the negative part of the y-axis above the origin (0, 0)
It lies on the positive part of the y-axis above the origin (0, 0)
It lies on the negative part of the y-axis below the origin (0, 0)
It lies on the positive part of the y-axis below the origin (0, 0)
(x, y) = (0, 5): the x value is 0, so the point lies at 5 on the positive part of the y-axis
9.
The fourth quadrant of the coordinate plane contains all the points (x, y) where the x value is positive and the y value is negative. Which of the following points lies in the fourth quadrant?
(7, 9)
(-7, -9)
(7, -9)
(-7, 9)
The x value is positive and the y value is negative
10.
What shape do you get if you join up the points (0, 0), (1, 0), (1, -1), (0, -1) with straight lines and in which quadrant does it lie in?
A triangle in the first quadrant
A square in the first quadrant
A square in the fourth quadrant
A triangle in the fourth quadrant
(0, 0), (1, 0) and (0, -1) lie on the coordinate axes, but (1, -1) lies in the fourth quadrant and this makes the square lie in this quadrant
Author:  Frank Evans

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