Compass and ruler – Hard – Primrose Kitten

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Compass and ruler – Hard

Last updated: 24/01/2020

GCSE Maths – Higher Compass and ruler Compass and ruler – Hard

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Question 1 of 20

1. Question
What 2 conditions apply to the regions for the locus of points within the rectangle WXYZ if x=102mm.
- The locus of points is 0.459m away from the point Z and 20.4cm away from the point X.
- The locus of points is the perpendicular bisector of XZ.
- The locus of points is the angle bisectors of WXY and YZW.
- The locus of points is the area of the circles at point X and point Z.
Correct

Incorrect
Question 2 of 20

2. Question
What does the diagram show in terms of loci?
- The locus of all the points 80mm away from the point C
- That the square has a radius of 8cm.
- The loci of points that is 8cm away from the square ABCD.
- That there is a circle inside the square.
Correct

Incorrect
Question 3 of 20

3. Question
Construction lines have been used to bisect the angle ZXY. Find the value of angle MXY.
- 15°
- 60°
- 150°
- 30°
Correct

Incorrect
Question 4 of 20

4. Question
What 2 conditions apply to the regions for the locus of points within the rectangle ABCD.
- The locus of points is 20mm away from the point A and 90mm away from the point D
- The locus of points is the angle bisectors of DAB and CDA.
- The locus of points is the perpendicular bisector of AD.
- The locus of points is the area of the circles at point A and point D.
Correct

Incorrect
Question 5 of 20

5. Question
Construction lines have been used to bisect the angle CAB. Find the value of angle BAM.
- 25°
- 50°
- 30°
- 130°
Correct

Incorrect
Question 6 of 20

6. Question
Construction lines have been used to bisect the angle HFG. Find the value of angle MGF.
- 50°
- 40°
- 25°
- 80°
Correct

Incorrect
Question 7 of 20

7. Question
What 2 conditions apply to the regions for the locus of points within the rectangle ABCD.
- The locus of points is 8.2cm away from the point C and 0.15m away from the point A
- The locus of points is the area of the circles at point A and point C.
- The locus of points is the angle bisectors of DAB and BCD.
- The locus of points is the perpendicular bisector of AC.
Correct

Incorrect
Question 8 of 20

8. Question
What does the diagram show in terms of loci?
- There is a region where the locus of points is less than 8cm away from the points B and C.
- The area of the region between the two circles.
- Two circles with a radius of 8cm
- A square with verticles labelled ABCD
Correct

Incorrect
Question 9 of 20

9. Question
What does the diagram show in terms of loci?
- The locus of all the points 2cm away from the point B in the square
- A quarter of a circle with a radius of 2.
- A square with a quarter of a circle in.
- The area of the square is 2cm.
Correct

Incorrect
Question 10 of 20

10. Question
Construction lines have been used to bisect the angle ZXY. Find the value of angle MXZ.
- 40°
- 20°
- 80°
- 100°
Correct

Incorrect
Question 11 of 20

11. Question
Construction lines have been used to bisect the angle GFH. Find the value of angle MHF.
- 58°
- 29°
- 40°
- 20°
Correct

Incorrect
Question 12 of 20

12. Question
What 2 conditions apply to the regions for the locus of points within the rectangle ABCD.
- The locus of points is 9.9cm away from the point A and 70mm away from the point D
- The locus of points is the perpendicular bisector of AD.
- The locus of points is the area of the circles at point A and point D.
- The locus of points is the angle bisectors of DAB and CDA.
Correct

Incorrect
Question 13 of 20

13. Question
What 3 conditions apply to the regions for the locus of points within the trapezium WXYZ if x=120mm?
- The locus of points is 54cm away from the point W, 0.36m away from the point X and 840mm away from the point Y.
- The locus of points is the angle bisectors of ZWX, WXY and XYZ.
- The locus of points is the perpendicular bisector of WX, WY and YX.
- The locus of points is the area of the circles at point W, point X and point Y.
Correct

Incorrect
Question 14 of 20

14. Question
What 2 conditions apply to the regions for the locus of points within the rectangle WXYZ if x=28cm.
- The locus of points is 2.1m away from the point Y and 1120mm away from the point W.
- The locus of points is the area of the circles at point W and point Y.
- The locus of points is the perpendicular bisector of WY.
- The locus of points is the angle bisectors of ZWX and XYZ.
Correct

Incorrect
Question 15 of 20

15. Question
Construction lines have been used to bisect the angle HFG. Find the value of angle GFM.
- 50°
- 100°
- 80°
- 25°
Correct

Incorrect
Question 16 of 20

16. Question
Construction lines have been used to bisect the angle HFG. Find the value of angle HGF.
- 58°
- 29°
- 32°
- 64°
Correct

Incorrect
Question 17 of 20

17. Question
What 2 conditions apply to the regions for the locus of points within the rectangle WXYZ if x=12cm.
- The locus of points is 120mm away from the point W and 0.3m away from the point Z.
- The locus of points is the angle bisectors of ZWX and YZW.
- The locus of points is the perpendicular bisector of WZ.
- The locus of points is the area of the circles at point W and point Z.
Correct

Incorrect
Question 18 of 20

18. Question
Construction lines have been used to bisect the angle YXZ. Find the value of angle ZXY.
- 35°
- 17.5°.
- 70°
- 145°
Correct

Incorrect
Question 19 of 20

19. Question
- There is a region where the locus of points is less than 34mm away from the points C and D.
- The area of the region between the two circles.
- A square with vertices labelled ABCD.
- Two circles with a radius of 0.034m.
Correct

Incorrect
Question 20 of 20

20. Question
What 2 conditions apply to the regions for the locus of points within the trapezium WXYZ if x=0.9m.
- The locus of points is 270cm away from the point X and 3,600mm away from the point Y
- The locus of points is the area of the circles at point X and point Y.
- The locus of points is the perpendicular bisector of XY.
- The locus of points is the angle bisectors of WXY and XYZ.
Correct

Incorrect

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