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

Position 3

This Math quiz is called 'Position 3' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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In this middle school Math 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.

Good luck!

1 .

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

2 .

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

3 .

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

4 .

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

5 .

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

6 .

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

7 .

A circle with center (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 center (0, 0)

8 .

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

9 .

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

10 .

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

Author: Frank Evans