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Maths Quiz - Position 2 (Medium) (Questions)

This 11 Plus Maths quiz explores angles, shapes, and directions, helping pupils practise geometric rules that describe how objects turn and move in space.

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Fascinating Fact:

The interior angles of any polygon always follow the rule (n-2) × 180, where n is the number of sides, a formula that never loses its direction.

In 11 Plus Maths, pupils learn about position, movement, and the relationship between angles and shapes. Understanding how turns, sides, and coordinates work helps with both geometry and map skills.

  • Polygon: A flat shape with straight sides, such as triangles, rectangles, and pentagons.
  • Interior Angle: The angle found inside a shape where two sides meet.
  • Vertex: A point where two or more lines or edges meet in a shape or diagram.
What does position mean in geometry?

Position describes where a point, shape, or object is located. In geometry, it’s often shown using coordinates or directions on a grid or map.

How do coordinates help describe position?

Coordinates use numbers to show a precise location on a grid. The first number shows the horizontal position (x-axis), and the second shows the vertical position (y-axis).

How are angles and position linked?

Angles describe how far something turns or rotates. They are used to measure direction changes and help plot movements accurately in space or on maps.

1. 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)
[ ] (2, -2), (0, -2), (0, 0)
2. 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?
[ ] A square in the third quadrant
[ ] A square in the second quadrant
[ ] An oblong in the third quadrant
[ ] An oblong in the second 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?
[ ] (6, 3)
[ ] (6, -3)
[ ] (-6, 3)
[ ] (-6, -3)
4. 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?
[ ] A triangle in the first quadrant
[ ] A triangle in the fourth quadrant
[ ] A square in the first quadrant
[ ] A square in the fourth quadrant
5. Where does the point (0, -7) lie on the coordinate plane?
[ ] 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)
6. 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?
[ ] The lines are parallel
[ ] The lines intersect at right angles
[ ] The lines intersect at acute angles
[ ] The lines intersect at obtuse angles
7. Where does the point (-9, 0) lie on the coordinate plane?
[ ] 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)
[ ] 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)
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?
[ ] (-8, 2)
[ ] (8, 2)
[ ] (8, -2)
[ ] (-8, -2)
9. 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?
[ ] (2, -7)
[ ] (-2, 7)
[ ] (-2, -7)
[ ] (2, 7)
10. 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?
[ ] (-4, 2)
[ ] (4, -2)
[ ] (-4, -2)
[ ] (4, 2)
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Maths Quiz - Position 2 (Medium) (Answers)
1. 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)
The best way to see which points the square will go through is to draw a diagram
2. 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?
[ ] 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
(-1, 1), (-3, 1), (-3, 3) and (-1, 3) all have negative x coordinates and positive y coordinates. This means that the square lies in the second 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?
[ ] (6, 3)
[ ] (6, -3)
[x] (-6, 3)
[ ] (-6, -3)
The x value is negative and the y value is positive
4. 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?
[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
(0, 0) and (2, 0) lie on the coordinate axes, but (1, 1) lies in the first quadrant and this makes the triangle lie in this quadrant
5. Where does the point (0, -7) lie on the coordinate plane?
[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)
(x, y) = (0, -7): the x value is 0, so the point lies at -7 on the negative part of the y-axis
6. 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?
[ ] The lines are parallel
[x] The lines intersect at right angles
[ ] The lines intersect at acute angles
[ ] The lines intersect at obtuse angles
If you draw the lines, you will see that both lines pass through the point (2, 2) at right angles
7. Where does the point (-9, 0) lie on the coordinate plane?
[ ] 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)
(x, y) = (-9, 0): the y value is 0, so the point lies at -9 on the negative part of the x-axis
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?
[ ] (-8, 2)
[ ] (8, 2)
[ ] (8, -2)
[x] (-8, -2)
Both the x value and the y value are negative
9. 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?
[ ] (2, -7)
[ ] (-2, 7)
[ ] (-2, -7)
[x] (2, 7)
The x and y values are BOTH positive
10. 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?
[ ] (-4, 2)
[x] (4, -2)
[ ] (-4, -2)
[ ] (4, 2)
The x value is positive and the y value is negative