Welcome to the second of our Medium Eleven Plus maths quizzes on position. In the first we learned where coordinates lie on the x and y axes, and also which quadrant they are in. This one gives you more opportunity to practice placing them.
There are four quadrants on a graph:
- The first quadrant has positive x and y coordinates
- The second quadrant has negative x coordinates but positive y coordinates
- The third quadrant has negative x and y coordinates
- The fourth quadrant has negative x coordinates but positive y coordinates
Try to remember these if you can. They’ll make your maths tests so much easier!
Now, on with the quiz. Good luck!
1.
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A square is drawn on graph paper, starting with its top-right corner on (2, 0). Which other points will the square pass through? |
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(2, 2), (-2, -2), (0, 0) |
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(2, -2), (-2, 2), (0, 0) |
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(2, -2), (-2, -2), (0, 2) |
[ ] |
(2, -2), (0, -2), (0, 0) |
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2.
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What shape do you get if you join up the points (-1, 1), (-3, 1), (-3, 3), (-1, 3) with straight lines and in which quadrant does it lie in? |
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A square in the third quadrant |
[ ] |
A square in the second quadrant |
[ ] |
An oblong in the third quadrant |
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An oblong in the second quadrant |
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3.
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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? |
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(6, 3) |
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(6, -3) |
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(-6, 3) |
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(-6, -3) |
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4.
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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? |
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A triangle in the first quadrant |
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A triangle in the fourth quadrant |
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A square in the first quadrant |
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A square in the fourth quadrant |
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5.
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Where does the point (0, -7) lie on the coordinate plane? |
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It lies on the negative part of the y-axis below the origin (0, 0) |
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It lies on the positive part of the y-axis above the origin (0, 0) |
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It lies on the negative part of the x-axis below the origin (0, 0) |
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It lies on the positive part of the x-axis above the origin (0, 0) |
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6.
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Line A is drawn through the points (2, -1) and (2, 3), and line B is drawn through the points (-1, 2) and (3, 2). Which of the following statements about these lines is correct? |
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The lines are parallel |
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The lines intersect at right angles |
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The lines intersect at acute angles |
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The lines intersect at obtuse angles |
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7.
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Where does the point (-9, 0) lie on the coordinate plane? |
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It lies on the negative part of the y-axis to the left of the origin (0, 0) |
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It lies on the positive part of the y-axis to the right of the origin (0, 0) |
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It lies on the negative part of the x-axis to the left of the origin (0, 0) |
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It lies on the positive part of the x-axis to the right of the origin (0, 0) |
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8.
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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? |
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(-8, 2) |
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(8, 2) |
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(8, -2) |
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(-8, -2) |
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9.
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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? |
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(2, -7) |
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(-2, 7) |
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(-2, -7) |
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(2, 7) |
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10.
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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? |
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(-4, 2) |
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(4, -2) |
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(-4, -2) |
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(4, 2) |
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1.
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A square is drawn on graph paper, starting with its top-right corner on (2, 0). Which other points will the square pass through? |
|
[ ] |
(2, 2), (-2, -2), (0, 0) |
[ ] |
(2, -2), (-2, 2), (0, 0) |
[ ] |
(2, -2), (-2, -2), (0, 2) |
[x] |
(2, -2), (0, -2), (0, 0) |
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2.
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What shape do you get if you join up the points (-1, 1), (-3, 1), (-3, 3), (-1, 3) with straight lines and in which quadrant does it lie in? |
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[ ] |
A square in the third quadrant |
[x] |
A square in the second quadrant |
[ ] |
An oblong in the third quadrant |
[ ] |
An oblong in the second quadrant |
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3.
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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? |
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[ ] |
(6, 3) |
[ ] |
(6, -3) |
[x] |
(-6, 3) |
[ ] |
(-6, -3) |
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4.
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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? |
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[x] |
A triangle in the first quadrant |
[ ] |
A triangle in the fourth quadrant |
[ ] |
A square in the first quadrant |
[ ] |
A square in the fourth quadrant |
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5.
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Where does the point (0, -7) lie on the coordinate plane? |
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[x] |
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 above the origin (0, 0) |
[ ] |
It lies on the negative part of the x-axis below the origin (0, 0) |
[ ] |
It lies on the positive part of the x-axis above the origin (0, 0) |
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6.
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Line A is drawn through the points (2, -1) and (2, 3), and line B is drawn through the points (-1, 2) and (3, 2). Which of the following statements about these lines is correct? |
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[ ] |
The lines are parallel |
[x] |
The lines intersect at right angles |
[ ] |
The lines intersect at acute angles |
[ ] |
The lines intersect at obtuse angles |
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7.
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Where does the point (-9, 0) lie on the coordinate plane? |
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[ ] |
It lies on the negative part of the y-axis to the left of the origin (0, 0) |
[ ] |
It lies on the positive part of the y-axis to the right of the origin (0, 0) |
[x] |
It lies on the negative part of the x-axis to the left of the origin (0, 0) |
[ ] |
It lies on the positive part of the x-axis to the right of the origin (0, 0) |
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8.
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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? |
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[ ] |
(-8, 2) |
[ ] |
(8, 2) |
[ ] |
(8, -2) |
[x] |
(-8, -2) |
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9.
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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? |
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[ ] |
(2, -7) |
[ ] |
(-2, 7) |
[ ] |
(-2, -7) |
[x] |
(2, 7) |
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10.
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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? |
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[ ] |
(-4, 2) |
[x] |
(4, -2) |
[ ] |
(-4, -2) |
[ ] |
(4, 2) |
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