Initial Diagnostic Audit - Unit C3: Areas

Do NOT use a calculator for any questions in the audit unless specifically told otherwise
Section C3.1 - Squares, Rectangles and Triangles
1. What is the area of this rectangle?

Area = cm2

2. What is the area of this triangle?

Area = cm2

3. What is the area of this triangle?

Area = cm2

4. What is the area of the garden represented by this shape?

Area = m2

5. What is the area of this shape?

Area = cm2

Section C3.2 - Area and Circumference of Circles

You may use a calculator for questions in this section
A = πr2       C = 2πr
6.

(a) What is the area of the circle? A = × π cm2

(b) What is the circumference of the circle? C = × π cm

7. What is the radius of a circle with circumference 24 cm? Give your answer to 2 decimal places.
r = cm
8. What is the radius of a circle with area 36 cm2? Give your answer to 1 decimal place.
r = cm
9. Find the radius of the semicircles if the perimeter of this shape is 400 m.

Give your answer to 2 decimal places.
r = m

Section C3.3 - Sector Areas and Arc Lengths

You may use a calculator for questions in this section

l =  
θ
   × 2πr
360°
A =  
θ
   × πr2
360°
10.

(a) Find the area of the shaded sector of the circle. Give your answer to 1 decimal place.
A = cm2

(b) Find the arc length, p, shown on the circle. Give your answer to 2 decimal places.
p = cm

11. A sector of a circle of radius 3 cm is shown.
The area of the sector is 10.5 cm2

What is the angle of the sector? Give your answer to the nearest degree.
Angle = °

12. A sector of a circle of radius 5 cm has arc length 7.5 cm.
What is the angle of the sector? Give your answer to the nearest degree.
Angle = °
13. What is the area of the shaded region? Give your answer to 1 decimal place.

Area = cm2

Section C3.4 - Areas of Parallelograms, Trapeziums, Kites and Rhombuses

Find the area of each of the following shapes.
14.

Area = cm2

15.

Area = cm2

16.

Area = cm2

17.

Area = cm2

18.

Area = cm2

Section C3.5 - Surface Area
Surface Area of Sphere = 4πr2

Surface Area of Cone = πrs + πr2

where s is the slant height
19. What is the surface area of a cube with side length 5 cm? cm2
20. What is the surface area of a cuboid with side lengths 3 cm, 5 cm and 8 cm? cm2
You may use a calculator for the remaining questions
21. What is the surface area of a ball of diameter 6 cm? Give your answer to 1 d.p. cm2
22. What is the surface area of a cone of base radius 10 cm and perpendicular height 24 cm?
Give your answer in terms of π π cm2
23.
 A ball has surface area 200 cm2. What is the radius of the ball?
Give your answer to 1 d.p. cm

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Produced by Russell Geach for CIMT - January 2013