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IGCSE Unit 1 Geometry

Total questions: 30

Worksheet time: 38mins

Name
Class
Date
1.

How many of the five angles AOB, BOC, COD, DOE and EOA are obtuse?

(a)  

2.

AB and CD are parallel lines and EH is a transversal.

The size of angle EFB is (2x - 100)° and the size of angle CGF is (x + 52)°


What is the actual size of the Angle EFB ?

(a)  

3.

The diagram below shows two parallel lines, AB and CD, crossed by a transversal line EF. Find the value of w.

(a)  

4.

Find the values of a and b.

a)

a=350, b=400

b)

a=400, b=350

c)

a=400, b=550

d)

a=350, b=350

5.

Find the value of a.

(a)  

6.

What is the value of b?

(a)  

7.

Find the values of x and z.

a)

x=100, z=1200

b)

x=230, z=1110

c)

x=230, z=1210

d)

x=210, z=1500

8.

What is the value of x?

(a)  

9.

Find the value of y.

(a)  

10.

What is the value of x+y+z?

(a)  

11.

Which shape is the odd one out?

a)

a

b)

b

c)

c

d)

d

12.

Find the number of symmetry for this shape

a)

2

b)

4

c)

8

d)

1

13.

How many lines of symmetry does regular decagon have ? (A decagon is ten - sided polygon)

(a)  

14.

What is the order of rotational symmetry of the shape?

(a)  

15.

What is the order of rotational symmetry of the shape?

a)

2

b)

4

16.

What is the order of rotational symmetry of the shape?

(a)  

17.

What is the smallest number of degrees you need to rotate the image for it to look the same?

(a)  

18.

What is the smallest number of degrees you need to rotate the image for it to look the same?

(a)  

19.

These solid is made from small cubes.

How many planes of symmetry does the solid have?

(a)  

20.

How many planes of symmetry are there of cube?

(a)  

21.

How many planes of symmetry are there for regular heptagonal prism?

(a)  

22.

The interior angle of a regular polygon is 162°. How many sides does it have?

(a)  

23.

A regular polygon has nine sides. Calculate the size of the interior angle.

(a)  

24.

The interior angle of a regular polygon is eight times

the size of the exterior angle. How many sides does the

polygon have?

(a)  

25.

Three identical regular pentagons are joined as shown. Work out the size of angle y.

(a)  

26.

The diagram shows two identical regular polygons and an equilateral triangle.

Calculate the number of sides each regular polygon has.

(a)  

27.

A regular polygon has interior angles that are 5 times larger than each of its exterior angles. Calculate how many sides it has.

(a)  

28.

The size of each interior angle of a regular polygon with n sides is 1400. Work out the size of each interior angle of a regular polygon with 2n sides.

(a)  

29.

There is a regular polygon. The size of each interior angle is 140 degrees greater than the size of each exterior angle. Work out the number of sides the regular polygon has.

(a)  

30.

The diagram shows two congruent regular pentagons and part of a regular n-sided polygon A. Calculate the value of n.

(a)