Section 4.1  Introduction to Circles 
Question 1
What is the name given to a chord of a circle that passes through the centre of the circle? 
(A)  Radius 


(B)  Arc 
(C)  Diameter 
(D)  None of these 

Question 2
The diagram shows a triangle drawn inside a circle of radius 5 cm. The line AB is a diameter of
the circle.
Draw the triangle accurately nad use it to answer the next three questions.
What is the length of AC? 
(A)  5 cm 


(B)  6 cm 
(C)  7 cm 
(D)  None of these 
 
Question 3
For the triangle you drew in Question 2, what is the size of the angle ACB? 
(A)  60° 


(B)  80° 
(C)  90° 
(D)  None of these 

Question 4
What is the area of the triangle in Question 2? 
(A)  24 cm^{2} 


(B)  36 cm^{2} 
(C)  48 cm^{2} 
(D)  None of these 
 
Section 4.2  Estimating the Circumference of a Circle 
Question 5
What is the name given to the perimeter length of a circle? 
(A)  Circumference 


(B)  Area 
(C)  Sector 
(D)  None of these 

Question 6
Draw a circle of radius 4 cm and use string to measure the length of its circumference.
Approximately what is the length of the circumference? 
(A)  20 cm 


(B)  25 cm 
(C)  30 cm 
(D)  40 cm 

Question 7
Draw a circle of radius 5 cm and measure the length of its circumference.
Approximately what is the length of the circumference? 
(A)  25 cm 


(B)  30 cm 
(C)  40 cm 
(D)  50 cm 

Question 8
Using your answers to Questions 6 and 7, what approximately is the ratio of a circle's diameter to its circumference? 
(A)  1 : 1 


(B)  2 : 1 
(C)  3 : 1 
(D)  4 : 1 

Section 4.3  Estimating the Area of a Circle 
Question 9
Draw a circle of radius 4 cm onto 1 cm^{2} squared paper.
Estimate its area. 
(A)  30 cm^{2} 


(B)  40 cm^{2} 
(C)  50 cm^{2} 
(D)  60 cm^{2} 

Question 10
From your answer to Question 9, what is the ratio of a circle's radius squared to its area? 
(A)  2 : 1 


(B)  3 : 1 
(C)  4 : 1 
(D)  5 : 1 

Question 11
Draw a semicircle of radius 5 cm onto 1 cm^{2} squared paper.
Estimate the area of this semicircle. 
(A)  36 cm^{2} 


(B)  40 cm^{2} 
(C)  50 cm^{2} 
(D)  60 cm^{2} 

Question 12
From your answer to Question 11, what is the ratio of a semicircle's radius squared to its area? 
(A)  1.5 : 1 


(B)  2.0 : 1 
(C)  2.5 : 1 
(D)  None of these 

Section 4.4  Formulae for Circumference and Area 
Question 13
A circle has radius 7 cm. What is the length of its circumference, to the nearest cm? 
(A)  22 cm 


(B)  43 cm 
(C)  44 cm 
(D)  None of these 

Question 14
What is the area of the circle in Question 13 to the nearest cm^{2}? 
(A)  21 cm^{2} 


(B)  44 cm^{2} 
(C)  154 cm^{2} 
(D)  None of these 

Question 15
A circle has circumference of length 37.7 cm. What is the length of its diameter to the nearest cm? 
(A)  12 cm 


(B)  6 cm 
(C)  3 cm 
(D)  None of these 

Question 16
The area of a circle is 201 cm^{2}. What is the length of its radius to the nearest cm? 
(A)  4 cm 


(B)  8 cm 
(C)  12 cm 
(D)  None of these 

Section 4.5  Problems in Context
This is a sketch of a garden.

Question 17
What is the length of the garden's perimeter, to one decimal place? 
(A)  6.3 m 


(B)  16.3 m 
(C)  22.6 m 
(D)  None of these 

Question 18
What is the area of the garden, to the nearest m^{2}? 
(A)  6 m^{2} 


(B)  13 m^{2} 
(C)  18 m^{2} 
(D)  None of these 

This is a diagram of a shape.

Question 19
What is the circumference, to the nearest 1 decimal place, of the shape? 
(A)  3.1 m 


(B)  7.1 m 
(C)  8.2 m 
(D)  None of these 

Question 20
What is the area of the shape, to 2 decimal places? 
(A)  1.21 m^{2} 


(B)  1.57 m^{2} 
(C)  1.79 m^{2} 
(D)  None of these 

Section 4.6  Volume and Surface Area of a Cylinder
This diagram shows a cylinder.

Question 21
What is the volume of the cylinder? 
(A)  36π cm^{3} 


(B)  48π cm^{3} 
(C)  96π cm^{3} 
(D)  None of these 

Question 22
What is the area of its curved surface? 
(A)  24π cm^{2} 


(B)  36π cm^{2} 
(C)  48π cm^{2} 
(D)  None of these 

Question 23
What is the total surface area of the cylinder? 
(A)  18π cm^{2} 


(B)  33π cm^{2} 
(C)  42π cm^{2} 
(D)  None of these 

Question 24
A cylinder has volume 200 cm^{3} and base radius 5 cm.
What is the height, to 1 decimal place, of this cylinder? 
(A)  1.6 cm 


(B)  2.5 cm 
(C)  12.7 cm 
(D)  None of these 
