Basic Geometry Practice Questions with Full Answer Key – Area, Perimeter, Volume & Angles

1. B
The diagonals of a square intersect perpendicularly with each other so each angle measures 90^o
x =90^o

2. B
a+b+c+d = ?
The sum of angles around a point is 360^o   a+b+c+d = 360^o

3. C
The sum of angles around a point is 360^o
d+300 = 360^o
d = 60^o

4. D
Two parallel lines(m & side AB) intersected by side AC
a= 50^o (interior angles)

5. B
The square with 2 cm side common to the rectangle apart from 4cm side
Perimeter = 2+2+2+4+2+4 = 16 cm

6. C
In the figure, we are given a large circle and a small circle inside it;
with the diameter equal to the radius of the large one. The diameter of the
small circle is 4 cm. This means that its radius is 2 cm. Since the diameter
of the small circle is the radius of the large circle, the radius of the large
circle is 4 cm. The area of a circle is calculated by: пr² where r is the
radius.  Area of the small circle: п(2)2 = 4п Area of the large circle: п(4)²2 = 16п

The difference area is found by:
Area of the large circle – Area of the small circle = 16п – 4п = 12п

7. D
Perimeter of a shape with two squares and triangle ABC.
Perimeter = 8.5+8.5+6+6
Perimeter = 29 cm.

8. C
Large cube is made up of 8 smaller cubes of 5 cm sides.
Volume = Volume of small cube x 8
Volume = (5 x 5 x 5) x 8, 125 x 8
Volume = 1000cm³

9. B
Volume= Volume of large cylinder – Volume of small cylinder
(Volume of cylinder = area of  base x height)
Volume= (п 12²x 10) – (п 6²x 5), 1440? – 180п
Volume= 1260п in³

See also our tutorial on Complex Shapes