# Basic Geometry Practice Questions

- Posted by Brian Stocker MA
- Date Published April 3, 2014
- Date modified March 31, 2020
- Comments 10 comments

## High School geometry questions similar to what you will find on a standardized test.

### Practice Questions

**1. What is measurement of the indicated angle assuming the figure is a square?**

a. 45^{o}

b. 90^{o}

c. 60^{o}

d. 30^{o}

**2. What is the sum of all the angles in the rectangle above?**

a. 180^{o}

b. 360^{o}

c. 90^{o}

d. 120^{o}

**3. What is the measurement of the indicated angle?**

a. 45^{o}

b. 90^{o}

c. 60^{o}

d. 50^{o}

**4. If the line m is parallel to the side AB of ?**

**ABC, what is angle**

*a*?a. 130^{o}

b. 25^{o}

c. 65^{o}

d. 50^{o}

**5. What is perimeter of the above shape?**

a. 12 cm

b. 16 cm

c. 6 cm

d. 20 cm

**6. What is (area of large circle) – (area of small circle) in the figure above?**

a. 8 п cm^{2}

b. 10 п cm^{2}

c. 12 п cm^{2}

d. 16 п cm^{2}

**7. What is perimeter of ?****ABC in the above shape?**

- 25.5 cm
- 27 cm
- 30 cm
- 29 cm

**8. What is the volume of the figure above?**

a. 125 cm^{3}

b. 875 cm^{3}

c. 1000 cm^{3}

d. 500 cm^{3}

**9. What is the volume of the above solid made by a hollow cylinder with half in size of the larger cylinder?**

a. 1440 п in^{3}

b. 1260 п in^{3}

c. 1040 п in^{3}

d. 960 п in^{3}

### Answer Key

**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: пr

^{2}where r is the

radius. Area of the small circle: п(2)2 = 4п Area of the large circle: п(4)

^{2}2 = 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 = 1000cm^{3}

**9. B
**Volume= Volume of large cylinder – Volume of small cylinder

(Volume of cylinder = area of base x height)

Volume= (п 12

^{2}x 10) – (п 6

^{2}x 5), 1440? – 180п

Volume= 1260п in

^{3}

**Written by:**Brian Stocker MA, Complete Test Preparation Inc.

## 10 Comments

answer to question five should be 18, you forgot to include the 2cm outer side of the rectangle

Divide the figure into a square and a rectangle – perimeter of the square – 3 X 2 = 6 note 3 sides are included in the perimeter. Upper rectangle 2 X 4 = 8 + 2 = 10 total perimeter = 10 + 6 = 16

what angel said is so true, i cant believe u guys made such a silly mistake

Try again – the question asks for the PERIMITER – 3 sides of the square – 2 + 2 + 2 = 6; 2 sides of the rectangle – 4 + 4 = 8; 1 side of the rectangle (top) = 2

6 + 8 + 2 = 16

Please in no 6 ,42 -22 is 20,so how comes about 16 and how did u get 122 in no 10

The answers are correct – I have updated and expanded the solutions – also the п symbol wasn’t displaying properly – thanks!

Love this. Super helpful!

In #9, since it is a cylinder; shouldn’t you use Pi in calculating the area of the base??

hi – yes the answer does use pi – the web rendering is a little funny tho – looks like an ‘n’ but is is pi – e. g. Volume= (п 122x 10) – (п 62x 5), 1440? – 180п

I understand how you got the answer in question 5, however the way it is displayed is unclear.

It is not clear that the number 4 is attached to just the rectangle and not to the line as a whole.

This means there are two interpretations of the figure.

1) 4*2+2*2 = 12

2) 2(4+2) + 2*2 = 16