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New AQA GCSE Mathematics © Nelson Thornes Ltd 2010 1
Unit 3 Higher Chapter 11
Worksheet 1
Name …………………………………………………… Class ………… Date ………………….
Properties of circles 1 1 Calculate the size of the marked angle in each diagram. O is the centre of the circle.
Give a reason for your answer. Diagrams are not drawn accurately.
New AQA GCSE Mathematics © Nelson Thornes Ltd 2010 2
Unit 3 Higher Chapter 11
Worksheet 1
Name …………………………………………………… Class ………… Date ………………….
2
a Calculate the size of angle ADC.
Give a reason for your answer.
b Neal says that angle AEC is 96° because the angle at the centre is twice the angle subtended at the circumference.
Is Neal correct? Explain your answer.
3
O is the centre of the circle.
Calculate the size of:
a angle OCA b angle ABO.
Give reasons for your answers.
New AQA GCSE Mathematics © Nelson Thornes Ltd 2010 3
Unit 3 Higher Chapter 11
Worksheet 1
Name …………………………………………………… Class ………… Date ………………….
4
O is the centre of the circle.
a Calculate the size of angle BAE.
b State the size of angle DCB.
Give reasons for your answers.
5
O is the centre of the circle. Angle PRQ = 46°
a Calculate the size of angle PQR.
Give a reason for your answer.
b Explain why angle POQ is 92°.
6 In each diagram, find the angles marked x and y. O is the centre of the circle.
Show all your working.
New AQA GCSE Mathematics © Nelson Thornes Ltd 2010 4
Unit 3 Higher Chapter 11
Worksheet 1
Name …………………………………………………… Class ………… Date ………………….
7 In each diagram, find the value of x and y. O is the centre of the circle.
Show all your working.
8
a Write down the value of x.
b Explain why ∆BCD is isosceles.
9
O is the centre of the circle.
Find the values of x and y.
Show all your working.
New AQA GCSE Mathematics © Nelson Thornes Ltd 2010 5
Unit 3 Higher Chapter 11
Worksheet 1
Name …………………………………………………… Class ………… Date ………………….
10
a Calculate the value of x.
b Calculate the value of y.
Give reasons for your answers.
c Is the line AB a diameter of the circle?
Explain your answer.
