Compass and ruler – easy – Primrose Kitten

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Compass and ruler – easy

Last updated: 12/01/2021

GCSE Maths – Equivalency test Compass and Ruler Compass and ruler – easy

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Question 1 of 25

1. Question
How would you construct a perpendicular bisector of 2 points using construction lines?
- You set your compass on each point then draw a semicircle from both points. Draw a line down the middle where your semicircles intersect
- Draw two large circles on both points leaving a gap in between to draw a straight perpendicular line that cuts through the centre of the two points.
- Measure the length between the two points using a ruler and then half that length, marking the centre in pencil, and draw a line through the mark you have made.
- You place your compass on each point and draw a curve around each side of the point then join the lines on both sides together.
Correct

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Question 2 of 25

2. Question
What does the loci on this diagram show?
- It shows the region around the square which is 250mm away from square D in all directions.
- It shows that the larger shape is not a square.
- It shows the distance between the outer edges of the smaller square D and the larger square.
- It shows that the area of the blue shaded region is 250mm.
Correct

Incorrect
Question 3 of 25

3. Question
What step would you do next to find the midpoint?
- Draw a line between the two intersections of the semicircles
- Draw a line from point A to point B.
- Shade the region contained between both semicircles.
- Rub out the construction lines using a pencil.
Correct

Incorrect
Question 4 of 25

4. Question
Which line is the perpendicular bisector of AB?
- 3
- 2
- 4
- 1
Correct

Incorrect
Question 5 of 25

5. Question
Which point is equidistant from A and B?
- 2
- 3
- 1
- 4
Correct

Incorrect
Question 6 of 25

6. Question
What does the loci on this diagram show?
- It shows the region around the square which is 5cm away from square B in all directions
- The square B is smaller than the shaded region.
- The perimeter of the shaded region is not a perfect square.
- The shaded area of the shape B is the same as the shaded area of the square B.
Correct

Incorrect
Question 7 of 25

7. Question
Which line represents the perpendicular bisector?
- 2
- 4
- 1
- 3
Correct

Incorrect
Question 8 of 25

8. Question
Which point is equidistant from A and B?
- 2
- 1
- 3
- 4
Correct

Incorrect
Question 9 of 25

9. Question
What does the loci on this diagram show?
- It shows the region around the square which is 2cm away from square A in all directions
- The square has sides with length 2cm.
- The area that is within the square
- That the square A is inside the shaded region
Correct

Incorrect
Question 10 of 25

10. Question
What does the loci on this diagram show?
- It shows the region around the square which is 10mm away from square C in all directions.
- It shows that the larger shape is not a square.
- It shows the distance between the outer edges of the smaller square D and the larger square.
- It shows that the area of the blue shaded region is 10mm.
Correct

Incorrect
Question 11 of 25

11. Question
Which point is equidistant from A and B?
- 3
- 2
- 4
- 1
Correct

Incorrect
Question 12 of 25

12. Question
What does the loci on this diagram show?
- It shows the region around the point which is 8mm away from Point E in all directions.
- It shows the radius of the circle E is 8mm.
- It shows the distance between the outer edges of the larger circle E.
- It shows the diameter of the circle E is 16mm.
Correct

Incorrect
Question 13 of 25

13. Question
How would you find the midpoint between two points using construction lines?
- You draw a line connecting both points then create an arc/semicircle from both ends of the line. Connect the two intersections of your semicircle by drawing a line and the midpoint is where the line and perpendicular bisector intersect.
- Draw two circles around each point and a line connecting both points. Estimate the midpoint by looking at the gap between each circle.
- Measure the length between both points with a ruler and then mark the half way point.
- You set your compass on each point then draw a semicircle from both points. Draw a line down the middle where your semicircles intersect.
Correct

Incorrect
Question 14 of 25

14. Question
Which point is not equidistant from A and B?
- 3
- 2
- 4
- 1
Correct

Incorrect
Question 15 of 25

15. Question
What does the loci on this diagram show?
- It shows the region around the point which is 3cm away from point A in all directions
- It shows the distance between the outer edges of the smaller circle and larger circle.
- It shows the perimeter of the circle A.
- It shows the radius of the circle A is 3cm.
Correct

Incorrect
Question 16 of 25

16. Question
Based on the diagram shown, which line is the perpendicular bisector?
- 2
- 3
- 1
- 4
Correct

Incorrect
Question 17 of 25

17. Question
Which point is equidistant from A and B?
- 4
- 3
- 1
- 2
Correct

Incorrect
Question 18 of 25

18. Question
What does the loci on this diagram show?
- It shows the region around the point which is 32cm away from point B in all directions
- It shows the perimeter of the circle B.
- It shows the radius of the circle B is 32cm.
- It shows the distance between the outer edges of the smaller circle and larger circle.
Correct

Incorrect
Question 19 of 25

19. Question
Which line is the perpendicular bisector of AB?
- 4
- 3
- 2
- 1
Correct

Incorrect
Question 20 of 25

20. Question
Which point is not equidistant from A and B?
- 1
- 4
- 2
- 3
Correct

Incorrect
Question 21 of 25

21. Question
What does the loci on this diagram show?
- It shows the region around the point which is 4cm away from point C in all directions.
- It shows the perimeter of the circle C.
- It shows the distance between the outer edges of the smaller circle and larger circle.
- It shows the radius of the circle C is 4cm.
Correct

Incorrect
Question 22 of 25

22. Question
Which point is equidistant from A and B?
- 4
- 2
- 3
- 1
Correct

Incorrect
Question 23 of 25

23. Question
What does the loci on this diagram show?
- It shows the region around the point which is 5cm away from point D in all directions
- It shows the radius of the circle D is 5cm.
- It shows the distance between the outer edges of the larger circle D.
- It shows the diameter of the circle D is 10cm.
Correct

Incorrect
Question 24 of 25

24. Question
If 2 points (A and B) are equidistant from point C, what does this mean?
- A and B are in equal distance from C
- A is twice as far from C
- A and B are different distances from C
- A and B are perpendicular to one another
Correct

Incorrect
Question 25 of 25

25. Question
Which point is equidistant from A and B?
- 1
- 2
- 3
- 4
Correct

Incorrect

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