1 (2018/w/21/q13)

The diagram shows a triangle ABC and an arc with centre C and radius 6.5cm. (a) Using a straight edge and compasses only, construct the locus of points inside the triangle that are equidistant from BA and BC. 
(b) Shade the region inside the triangle that is • more than 6.5cm from C and • nearer to BA than to BC.










(a)2
(b)1
2 (2017/m/22/q2)

The line AB is one side of an equilateral triangle ABC. Using a straight edge and compasses only, construct triangle ABC.

2
3 (2017/s/22/q16)

(a) Using a straight edge and compasses only, construct the bisector of angle BAC.
(b) Shade the region inside the triangle that is nearer to AC than to AB











(a)2
(b)1
4 (2017/w/22/q3)

In the diagram, BL is the bisector of angle ABC and MN is the perpendicular bisector of AB. Complete the statement.
The shaded region contains the points, inside triangle ABC, that are
• nearer to B than to A and • nearer to ....................... than to .......................

2
5 (2018/s/22/q9)

Using a straight edge and compasses only, construct the locus of points that are equidistant from A and B

2
6 (2017/s/21/q21)

A, B, C and D are points on the circle. AD is parallel to BC. The chords AC and BD intersect at X.
Find the value of u and the value of v.
(b)

F, G and H are points on the circle, centre O. Find the value of p.

(a)3
(b)2
7 (2017/s/22/q26)

A, B, C, D and E lie on the circle. AB is extended to F. Angle AED = 140° and angle CBF = 95°.
Find the values of w, x and y

5
8 (2017/w/22/q22)

A, B, C and D are points on the circle, centre O. BCE is a straight line. Angle AOC = 108° and angle DCE = 60°.
Calculate the values of w, x and y.

2
To be continued....