• Home
    • Contact
    • Search our Site!
  • Canadian Tests

    Canadian Forces

    CFAT — TAFC

    Citizenship & ESL

    Canadian Citizenship
    CELPIP  —  CAEL

    Dental

    Canadian DAT

    Provincial Achievement and High School

    Cognitive Abilities Test (CCAT)

    Canadian GED

    Alberta Provincial Achievement

    BC Provincial Achievement

     

    Trades

    Trades Entrance

    Canadian Public Service

    PSC Tests

    Canada Post (GAT)

    Canadian Border Services Agency (CBSA OTEE)

    Canadian Firefighter

    Law Enforcement & Security

    BC Police (JIBC)  — Ontario Police (OACP)  — RCMP

    Canada Corrections —  GATB

    Security Guard

  • Public Service Entrance Exams
    • Air Traffic
    • CRA Tests
    • Food Inspection
    • Korn Ferry
    • PSEE (371)
  • Occupations

    Trades

    EIAT — IBEW — Ironworkers
    Red Seal Welder
    Red Seal Carpenter
    Red Seal Plumber

    Medical and Nursing

    PSB HOAE — NLN PAX — More Nursing

    More

    Criticall 911 Dispatch — Mechanical Aptitude — Watson Glaser — Wonderlic Basic Skills

    Firefighters

    CPS Research & Standard & Assoc. (NFST) — Wonderlic Firefighter — Firefighter Practice
  • High School

    Test Help!

    Practice Test Questions – How to Prepare for a test – How to Answer Multiple Choice – How to Study – How to Study — What Students Say

    High School Exams

    CAAT — CHSPE — Canadian GED — Nelson Denny  — TABE — TACHS
    CHSPE Math — GED Math

    Gifted and Talented

    NNAT   —   SCAT   —   NYC Gifted

    The complete guide to multiple choice!

    Discover 15 secret strategies that will raise your score on any multiple choice exam regardless of the subject.

    Learn More >>>

  • Practice
    • Algebra
    • Anatomy & Physiology
    • Basic Math
    • Geometry
    • College Level
      • Congruence
      • Geometric Transformations
      • Graphs of Polynomials
      • Inverse Functions
      • Linear Equations with 2 Variables
      • Logarithms
      • Number Sequence
      • Prime Factors
      • Trigonometry
    • English Grammar
      • Punctuation
      • Spelling
    • Listening Comprehension
    • Logic & IQ
    • Mechanical Comprehension
    • Reading Comprehension
    • Science
    • Social Studies
    • Basic Statistics
    • Situational Judgement Practice Test – Similar to Government of Canada
    • Vocabulary
  • Test Prep
    • How to Answer Multiple Choice
    • How to Prepare for a Test
    • How to Study – The Complete Guide
    • How to Study Math
    • How to Study Science
    • How to Take Notes
    • Test Anxiety Tips!
    • Flash Cards
Complete Test Preparation Inc.
  • Home
    • Contact
    • Search our Site!
  • Canadian Tests

    Canadian Forces

    CFAT — TAFC

    Citizenship & ESL

    Canadian Citizenship
    CELPIP  —  CAEL

    Dental

    Canadian DAT

    Provincial Achievement and High School

    Cognitive Abilities Test (CCAT)

    Canadian GED

    Alberta Provincial Achievement

    BC Provincial Achievement

     

    Trades

    Trades Entrance

    Canadian Public Service

    PSC Tests

    Canada Post (GAT)

    Canadian Border Services Agency (CBSA OTEE)

    Canadian Firefighter

    Law Enforcement & Security

    BC Police (JIBC)  — Ontario Police (OACP)  — RCMP

    Canada Corrections —  GATB

    Security Guard

  • Public Service Entrance Exams
    • Air Traffic
    • CRA Tests
    • Food Inspection
    • Korn Ferry
    • PSEE (371)
  • Occupations

    Trades

    EIAT — IBEW — Ironworkers
    Red Seal Welder
    Red Seal Carpenter
    Red Seal Plumber

    Medical and Nursing

    PSB HOAE — NLN PAX — More Nursing

    More

    Criticall 911 Dispatch — Mechanical Aptitude — Watson Glaser — Wonderlic Basic Skills

    Firefighters

    CPS Research & Standard & Assoc. (NFST) — Wonderlic Firefighter — Firefighter Practice
  • High School

    Test Help!

    Practice Test Questions – How to Prepare for a test – How to Answer Multiple Choice – How to Study – How to Study — What Students Say

    High School Exams

    CAAT — CHSPE — Canadian GED — Nelson Denny  — TABE — TACHS
    CHSPE Math — GED Math

    Gifted and Talented

    NNAT   —   SCAT   —   NYC Gifted

    The complete guide to multiple choice!

    Discover 15 secret strategies that will raise your score on any multiple choice exam regardless of the subject.

    Learn More >>>

  • Practice
    • Algebra
    • Anatomy & Physiology
    • Basic Math
    • Geometry
    • College Level
      • Congruence
      • Geometric Transformations
      • Graphs of Polynomials
      • Inverse Functions
      • Linear Equations with 2 Variables
      • Logarithms
      • Number Sequence
      • Prime Factors
      • Trigonometry
    • English Grammar
      • Punctuation
      • Spelling
    • Listening Comprehension
    • Logic & IQ
    • Mechanical Comprehension
    • Reading Comprehension
    • Science
    • Social Studies
    • Basic Statistics
    • Situational Judgement Practice Test – Similar to Government of Canada
    • Vocabulary
  • Test Prep
    • How to Answer Multiple Choice
    • How to Prepare for a Test
    • How to Study – The Complete Guide
    • How to Study Math
    • How to Study Science
    • How to Take Notes
    • Test Anxiety Tips!
    • Flash Cards

Math

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

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

  • Posted by Brian Stocker MA
  • Date April 3, 2014
  • Comments 14 comments

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

Geometry Practice Test

LineAngle1

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

a. 45o
b. 90o
c. 60o
d. 30o

LineAngle2

 

 

 

 

 

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

a. 180o
b. 360o
c. 90o
d. 120o

Line3

3. What is the measurement of the indicated angle?

a. 45o
b. 90o
c. 60o
d. 50o

Line4

4. If the line m is parallel to the side AB of ?ABC, what is angle a?

a. 130o
b. 25o
c. 65o
d. 50o

PerimeterArea

 

 

 

 

 

 

 

 

 

5. What is perimeter of the above shape?

a. 12 cm
b. 16 cm
c. 6 cm
d. 20 cm

PerimeterArea2

 

 

 

 

 

 

 

 

 

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

a. 8 п cm2
b. 10 п cm2
c. 12 п cm2
d. 16 п cm2

Perimeter5

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

  1. 25.5 cm
  2. 27 cm
  3. 30 cm
  4. 29 cm

PerimeterArea6

 

 

 

 

 

 

 

8. What is the volume of the figure above?

a. 125 cm3
b. 875 cm3
c. 1000 cm3
d. 500 cm3

PerimeterArea8

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 in3
b. 1260 п in3
c. 1040 п in3
d. 960 п in3

Answer Key

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

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

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

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

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

Date Published: Thursday, April 3rd, 2014
Date Modified: Tuesday, August 3rd, 2021
Share
Tweet
Pin
Share

Tag:Basic Math, Geometry, Practice Questions

author avatar
Brian Stocker MA

Previous post

English Grammar Practice Questions
April 3, 2014

Next post

Adding and Subtracting Polynomials - Tutorial and Practice
April 3, 2014

You may also like

MathMC
Basic Math Video Tutorials
8 January, 2020
MathMC
How to Answer Basic Math Multiple Choice
1 January, 2020
Inequality
How to Solve Linear Inequalities – Quick Review and Practice
19 March, 2019

    14 Comments

  1. angel
    March 4, 2017
    Reply

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

    • Brian
      March 7, 2017
      Reply

      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

    • Brian
      August 23, 2018
      Reply

      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

    • Irelynn Hardin
      June 19, 2020
      Reply

      The line between the square and the rectangle isn’t counted for perimeter, perimeter is the amount of units around the OUTSIDE. Since the square and rectangle are connected, try thinking of them as one big rectangle and forget about the line in between.

      • Brian Stocker
        June 20, 2020
        Reply

        Correct – the bottom square has 2 cm each side on 3 sides (2 + 2 + 2 = 6). The top rectangle has 2, 4 cm sides (4 + 4 = 8) and 1, 2 cm side. So the total is 6 + 8 + 2 = 16.

  2. Odey Grace
    June 1, 2017
    Reply

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

    • Brian
      June 3, 2017
      Reply

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

    • Anonymous
      August 26, 2021
      Reply

      102°-2x +78°=180°

  3. Joe
    July 5, 2018
    Reply

    Love this. Super helpful!

  4. Chris
    February 6, 2020
    Reply

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

    • Brian Stocker
      February 6, 2020
      Reply

      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

  5. MerMer
    May 27, 2020
    Reply

    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

  6. joshie
    June 16, 2020
    Reply

    Thanks! this was super helpful!

Leave A Reply Cancel reply

Your email address will not be published. Required fields are marked *

Geometry Practice

Basic Geometry

Pythagorean Geometry

Slope of a Line

Area of Complex Shapes

Properties of Triangles

Basic Math Video Tutorials

How to Study for a Math Test

Try a FREE Geometry Quiz

Geometry practice includes area volume, perimeter, slope of a line, similar triangles, area of complex shapes, triangles, distance between points, quadrilaterals and more!

Get Started

If you are a volunteer or non-profit organization, we are happy to provide test prep materials at reduced or no cost.  Please contact us with details of your organization.

About
Contact Us
FAQ
Online Practice Courses

Thank you!

With every purchase, you’re helping people all over the world improve themselves and their education. So thank you in advance for supporting this mission with us! Together, we are truly making a difference in the lives of those often forgotten by the system.
Charities that we support

Share
Tweet
Pin
Share

Visit our Test Prep Learning Center

Learning Center
Copyright -- Privacy -- Returns -- Sitemap