1. Circles – Non-Calculator
Year 11 Mini-Assessment 17
HIGHER
Circles – Non-Calculator

2.     Area of trapezium = ½ (20 + 12)(10) = 160cm2
Area of semi-circle = ½ x  x 32
= 4.5 cm2
Shaded area = 160 – 4.5 – 4.5
= (160 – 9) cm2  
-1 mark if no or incorrect units with
final answer

3. all correct descriptions 
Angle ACD = 58°
Angles in same segment are equal
Angle BAC = 22° 
either
Angles in same segment are equal
Angle ABC = 90°
Angle in a semi-circle is 90°
Angle ACB = 68°
Internal angles of a triangle add
to 180°
all correct descriptions 

4.        CDF = 44° (Alternate segment theorem)
ABC and ADC opposite angles
in a cyclic quadrilateral so add
to 180°
272°
88°  
CDO = 46°
ADC = 78°
44° 
ABC = x = 180° – 78° = 102°
COD = 88° (Angle at centre double angle at circumference)  
COD (reflex) = 272° 
y = 360 – 44 – 32 – 272°
y = 12°