Free CAST Practice Test Questions
We’ll begin with Graphic Arithmetic CAST test practice questions. You will be presented with a drawing including different measurements and complete the missing ones according to the different questions.
CAST Graphic Arithmetic Sample Questions
Use the drawing of the building below to answer the following 4 questions.
1. What is the total length (A) of the Foundation?
A. 39'
B. 235'
C. 282'
D. 289'
E. None of the above
Answer:
The correct answer is D.
The simplest way to calculate the length (A) of the Foundation – is to sum the length of the Crown Block, and the two lengths from the edges of the Crown Block to the corresponding edges of the Foundation:
2. What is the total length (C) of the Platform?
A. 70'
B. 118'
C. 136'
D. 190'
E. None of the above
Answer:
The correct answer is C.
The simplest way to calculate the length (C) of the Platform – is to sum the length of the Crown Block, and the length from the right edge of the Crown Block to the corresponding edge of the Foundation, and then subtract the length from the right edge of the Platform to the corresponding edge of the Foundation:
118' + 45' – 27' = 136'
3. What is the total height (D) of the Catwalk?
A. 14'
B. 22'
C. 24'
D. 32'
E. None of the above.
Answer:
The correct answer is A.
To calculate the height of the Catwalk – we will use the answer from question 2 (height B).
Calculate the sum of the height between the edges of the Catwalk and the corresponding top edges of the Foundation and the Crown Block. Subtract the sum from the total height between the top edges of the Foundation and the Crown Block:
226' + 54' = 280'
294' – 280' = 14'
4. What is the height (B) from the top of the Foundation to the bottom of the Catwalk?
A. 195'
B. 226'
C. 279'
D. 294'
E. None of the above
Answer:
The correct answer is B.
The simplest way to calculate the height (A) from the top of the Foundation to the bottom of the Catwalk – is to sum the height of the Platform, and the two heights from the edges of the Platform to the corresponding edges of the Foundation and the Catwalk:
142' + 31' + 53' = 226'
Graphic Arithmetic Tip: When answering these questions in the test – it is essential to work methodically, look for the fastest ways to calculate the required measurements, and make sure that there is no overlapping. It is recommended to write down the calculation and mark the answers to previous questions – as we will demonstrate how it can be useful for later questions in the test.
It is important to keep this in mind, since the object in the drawing may appear from more than one viewpoint in the real exam. The drawing presented here represents a front view of the object, but in the real test, you may receive a top/bottom view as well, which makes the test far more challenging.
Starting at $79, you can access detailed Graphic Arithmetic questions. These questions, featuring one or two perspectives of the object, are designed to enhance your skills and concentration thereby increasing your likelihood of success in the CAST Graphic Arithmetic section.
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The next section of the test also includes mathematical skills – but this time instead of visual abilities you must be able to work with different measurements and conversions from a table. Let's continue!
CAST Mathematical Usage Sample Questions
Use the information below to answer the following four questions:
Conversion table:
| 1 meter = 1,000 millimeters | 1 carreau = 1.29 bunders |
| 1 bee space = 6.5 millimeters | 1 bovate = 6 bunders |
| 1 league = 4,828 meters | 1 gal = 1,000 milligals |
| 1 bohr = 52,918 femtometers | 1 gal = 10 millimeters / square second |
| 1 bohr = 52.918 bicrons | 1 foot / square second = 30,480 milligals |
| 1 klick = 312.5 bamboos | 1 foot / square second = 12 inches / square second |
| 1 bamboo = 320 centimeters | 1 yard = 36 inches |
| 1 oxgang = 0.5 virgates | 1 inch = 2.54 centimeters |
| 1 cover = 1.349 jeribs | 1 carreau = 12.9 dekares |
| 1 acre = 160 square perches | 1 acre = 4,840 square yards |
5. 3 klicks = ? bamboos
A. 312.5
B. 625
C. 937.5
D. 960
E. None of the above
Answer:
The correct answer is C.
The conversion needs to be done as follows:
According to the table
1 klick = 312.5 bamboos
3 klick is three times 312.5 bamboos (the amount of bamboos one klick equals to).
Therefore, multiply by 3:
3 klicks = 3*312.5= 937.5 bamboos
6. 18 bunders = ? bovates
A. 1
B. 3
C. 6
D. 38.7
E. None of the above
Answer:
The correct answer is B.
The conversion needs to be done as follows:
According to the table
1 carreau = 6 bovate.
18 bunders are three times 6 bunders (and therefore, three times 1 carreau).
Therefore, multiply by 3:
18 bunders = 3*1 = 3 bovate.
7. 6 inches / square second = ? milligals
A. 0.5
B. 2
C. 15,240
D. 60,960
E. None of the above
Answer:
The correct answer is C.
While there is no direct relationship between the two measurements, both can be converted by using foot / square second:
1 foot / square second = 30,480 milligals
1 foot / square second = 12 inches / square second
Start by dividing 6 inches / square second in 12 to achieve the required multiplication factor:
6/12 = 0.5
Therefore, 6 inches / square second = 0.5*1 = 0.5 foot / square second.
Next, substitute the result (0.5) in the first equation to find how many milligals are 0.5 foot / square second:
0.5 foot / square second = 0.5*30,480 = 15,240 milligals.
Therefore, the correct answer is:
6 inches / square second = 15,240 milligals.
8. 10 centimeters = ? inches
A. 2.11
B. 3.08
C. 3.93
D. 5.24
E. None of the above
Answer:
The correct answer is C.
The conversion needs to be done as follows:
According to the table
1 inch = 2.56 centimeters
Divide 10 centimeters by 2.56 to achieve the required multiplication factor:
10/2.56 = 3.93
Therefore, 10 centimeters = 3.93*1 = 3.93 inches.
Quick Math Tip: When performing calculations (especially without a calculator), calculating the precise number may be challenging and time-consuming. If the answers are distinctly different, try to round the numbers to perform faster and easier calculations to reach an answer closest to one of the distractors.
I.E, in the previous question, a quick calculation can be made since 10/2.5 = 4.
Since 2.56 is slightly bigger than 2.5, the answer should be slightly smaller than 4, making answer C the only plausible answer.
The actual test consists of 18 questions with a strict time limit of 7 minutes, which equates to 23 seconds per question. This brief time frame necessitates a high level of focus and familiarity with various question formats and the quickest solution strategies.
The CAST Preparation Pack, available from $79, includes 3 Mathematical Usage practice tests, along with 4 additional practice tests that concentrate on a range of math topics.
These practice tests mirror the time constraint of the actual test. Furthermore, by reviewing the solutions, you will acquire specific strategies for making rapid calculations.
Let’s move on to the next section – Mechanical Concepts. Basic mechanical knowledge is measured through different question types – such as simple machines, thermodynamics, and electricity. Let’s proceed.
CAST Mechanical Concepts Sample Questions
9. If the electrical switch is turned on, which light bulb will light up?
A. 1
B. 2
C. 3
Answer:
The correct answer is C.
When you turn on the electrical switch, it completes the circuit, causing bulb 3 to illuminate. However, bulb 2 is not functioning, which disrupts the circuit and prevents the electric current from reaching bulb 1. Consequently, bulb 1 will not light up.
10. Two balloons are placed side by side. Balloon A is inflated fully, while Balloon B is only half-inflated.
Which balloon has more air pressure inside? (If equal, mark C)
A. a
B. b
C. c
Answer:
The question requires a comparison of the air pressure inside two balloons: one that is fully inflated (Balloon A) and another that is half-inflated (Balloon B). The air pressure inside a balloon is typically influenced by the amount of air it holds and the space it occupies. A fully inflated balloon, like Balloon A, is stretched more tightly, causing the air molecules inside to be compressed into a smaller space than in a half-inflated balloon. This compression leads to a higher air pressure. Therefore, in this case, Balloon A, being fully inflated, would generally have a higher air pressure than Balloon B, which is only half-inflated.
The correct answer is A.
11. In which direction will the wheel spin? (If either, mark C.)
A. a
B. b
C. c
Answer:
The two wheels on the left are linked by a band, causing the top wheel to rotate counter-clockwise. The two top wheels are connected by a rod, making them rotate in the same direction. The wheel in question is attached to the top right wheel by a band, and its rotation is influenced by the top right wheel. The correct answer is B.
12. In which way is the wagon accelerating? (If either, mark C.)
A. a
B. b
C. c
Answer:
A seesaw is a first-class lever where the fulcrum is situated between the effort and the load. To balance the seesaw, the acrobat must increase the applied torque. Given that the acrobat's weight remains constant, the only way to enhance the input torque is by extending the distance from the fulcrum.
If the acrobat moves in direction B, it will shift their center of gravity further from the fulcrum, resulting in a higher torque and thus balancing the seesaw.
This is based on the principle of the second-class lever law, which states that the further the load is from the fulcrum, the greater the torque produced on that arm.
The correct answer is B.
Mechanical Basics - You have less than 30 seconds to answer each question, so it's essential to be well-prepared and understand the fundamentals. The questions in this section may seem straightforward, but if you're not familiar with or struggle with any concepts, it could take up valuable time.
We recommend reviewing the basics again and starting your practice when you fully understand the questions and the provided explanations. For more basic mechanical and electrical questions with helpful tips, please visit our Mechanical Aptitude Free Test.
You can gain access to detailed CAST Mechanical Concepts questions starting at $79. Like all other sections of the CAST assessment, you need to work quickly to answer all the questions within the given time (27 seconds per question).
Therefore, not only do you need a good understanding of Mechanical Principles, but you also need to answer the questions swiftly enough to complete them all within the time limit, meaning practice is key.
"Passed my test Cast R test. The information and study guide absolutely helps if you take it seriously. I was prepared for every question".
Cory B. On CAST Test Practice
⭐⭐⭐⭐⭐
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"Worth every penny! I took the test for the first time 7 months ago and failed. This time got the test prep and passed! Thought it was way easier after taking the test prep".
Steve N. On CAST Test Practice
⭐⭐⭐⭐⭐
-
"This practice cast test was much harder than the actual test but still great practice. I ended up passing the real test. Definitely worth the 89 dollars".
Nate H. On CAST Test Practice
⭐⭐⭐⭐⭐
For more mechanical questions, check out our IBEW Test Prep and practice your skills!
Cast Mechanical questions require a specific set of skills and knowledge. The final section, Reading for Comprehension, may look trivial but requires verbal, grammatical, and logical abilities. Let’s continue.
CAST Reading for Comprehension Sample Questions
"In a typical woodworking shop, various mechanical tools play crucial roles in achieving precision and efficiency. The table saw, for instance, is indispensable for making straight cuts in pieces of wood.
With a high-speed rotating blade, the table saw ensures that each cut is accurate down to the millimeter. Not only can it handle large sheets of wood, but it also comes with adjustable features such as blade angle and cutting depth, allowing for customized results.
The bandsaw, on the other hand, is ideal for making curved cuts. Unlike the table saw, the bandsaw uses a continuous loop of narrow blades that runs around two or more wheels. It can make intricate shapes and is often used for tasks like cutting out patterns or creating decorative elements.
For many woodworking professionals, the bandsaw is the go-to tool for any work that involves complex geometry.
In addition to these larger tools, hand tools like chisels and planes also have their place in a woodworking shop. A chisel is used for removing wood in a controlled manner, often to create joints or hollow-out areas.
Planes are used to smooth or level surfaces, making them ideal for finishing tasks. While they may not be as fast as their electric counterparts, hand tools offer greater control and are indispensable for fine detailing work.
Safety is paramount when working with mechanical tools. Proper attire, including eye protection and earplugs, is essential. Moreover, each tool comes with its own set of safety guidelines that should be strictly followed.
For example, one should never reach over a table saw while it's in operation, and it's crucial to keep hands away from the blade of a bandsaw. Failing to follow these safety measures could result in serious injury."
Answer the following questions based on the text.
13. What table saw feature allows for customized wood-cutting results?
A. High-speed rotating blade.
B. Adjustable features such as blade angle and cutting depth.
C. Ability to handle large sheets of wood.
D. Eye protection features.
Answer:
The correct answer is B.
Answer A: This option is incorrect because the high-speed rotating blade is important for accurate cuts, but it doesn't allow customization.
Answer B: This is the correct answer. The text specifically mentions that these adjustable features allow for customized results.
Answer C: This feature is about the capacity of the table saw but doesn't relate to customized results.
Answer D: Safety features are essential but are not responsible for customized cutting.
14. What is the primary function of a bandsaw in a woodworking shop?
A. Making straight cuts.
B. Creating decorative elements.
C. Smoothing or leveling surfaces.
D. Making curved cuts.
Answer:
The correct answer is D.
Answer A: The table saw is primarily used for this, not the bandsaw.
Answer B: While it is mentioned that the bandsaw can be used for decorative elements, its primary function is making curved cuts.
Answer C: This is the function of planes, not bandsaws.
Answer D: This is the correct answer. The text specifically states that the bandsaw is ideal for making curved cuts.
15. Based on the text, which of the following is likely true about hand tools like chisels and planes in a woodworking shop?
A. They are outdated and rarely used.
B. They are mainly used for speed and efficiency.
C. They are better suited for tasks that require intricate detailing.
D. They are typically used to replace larger mechanical tools.
Answer:
The correct answer is C.
Answer A: This is incorrect. The text states that hand tools "also have their place in a woodworking shop," implying they are still relevant and used.
Answer B: This is also incorrect. The text mentions that they may not be as fast as their electric counterparts, implying that speed and efficiency are not their primary attributes.
Answer C: This is the correct inferred answer. The text says hand tools offer "greater control" and are "indispensable for fine detailing work," implying they are well-suited for intricate tasks.
Answer D: This is incorrect, as the text presents hand tools as complementary to larger mechanical tools rather than as replacements.
16. What would be an appropriate title for this text?
A. The Importance of Safety in Woodworking
B. Mechanical Tools in a Woodworking Shop
C. Customized Cutting Techniques
D. The Art of Making Curved Cuts
Answer:
The correct answer is B.
Answer A: While the text mentions safety, it is not the article's main focus.
Answer B: This is the correct answer, as the text discusses various mechanical tools and their functions in a woodworking shop.
Answer C: The text does talk about customized features, but this is not the main focus.
Answer D: This would be too specific to the bandsaw, whereas the text covers multiple tools.
Reading for Comprehension Tip: Since you have less than a minute for each question, you must be able to use your time efficiently. To be more efficient when answering questions regarding a text – we recommend beginning with the questions – and then trying to find the relevant context in the text. Not only do you already know what to look for when reading, but you also save valuable time, as you don’t have to read the text more than once.
As you have probably noticed the reading comprehension passage is quite challenging, with over 300 words and only only one minute per question. If you want to ace this section, you must learn how to quickly extract the necessary information to answer the questions accurately and efficiently.
The CAST Preparation Pack comprises two complete CAST Reading Comprehension practice tests, plus two additional practice tests for this subject. Each question in every test is accompanied by a comprehensive solution, which includes tips on how to locate the necessary information to answer them.
Cast Practice Test Answer Key
| 1 | 2 | 3 | 4 |
| D | C | A | B |
| 5 | 6 | 7 | 8 |
| C | B | C | C |
| 9 | 10 | 11 | 12 |
| C | A | B | B |
| 13 | 14 | 15 | 16 |
| B | D | C | B |
Continue Practicing for the CAST Exam
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- Comprehensive preparation: The prep provides a separate section for each category in the test, including multiple practice tests and realistic questions to help you fully prepare for the main test.
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- Instant Access: Upon purchasing the course, you will have immediate access to the materials from your device, so you can start practicing right away.
