CAST Practice Test

If a blueprint has a scale of 1 inch equals 30 feet, and a room on the blueprint is 4 inches by 6 inches, what is the actual size of the room in feet?

A floor plan shows a rectangular swimming pool that is 3 inches long and 2 inches wide on the blueprint. If the scale is 1 inch = 10 feet, what is the area of the actual swimming pool in square feet?

On a site plan, a landscaped area is represented by a circle with a diameter of 4 inches. If the scale is 1 inch = 20 feet, what is the actual area of the landscaped area in square feet?

A scale model of a bridge span is 8 inches long and represents an actual span of 240 feet. If the height of the model bridge is 1 inch, what is the actual height of the bridge?

An engineering drawing shows a pipeline that runs diagonally across a square piece of land, from one corner to the opposite corner. If the side of the square is 3 inches on the drawing and the scale is 1 inch = 40 feet, what is the actual length of the pipeline?

A map includes a rectangular parking lot that measures 2 inches by 3 inches. With a scale of 1 inch = 50 feet, what is the perimeter of the actual parking lot?

If a construction plan shows an equilateral triangle with each side measuring 2 inches and the scale is 1 inch = 25 feet, what is the actual perimeter of the triangular area?

A site plan shows a circular garden with a radius of 1.5 inches. If the scale is 1 inch = 10 feet, what is the circumference of the actual garden in feet?

In a plan drawing, a rectangular reservoir is 5 inches long and 2 inches wide. If the scale is 1 inch = 20 feet, what is the actual volume of the reservoir if its depth is 10 feet?

A landscaping design includes a path that runs from the northwest corner of a square park to the southeast corner. If each side of the park measures 4 inches on the plan, and the scale is 1 inch = 15 feet, what is the actual length of the path?

A blueprint shows a pentagonal room where each side is 1.5 inches long. If the scale is 1 inch = 40 feet, what is the perimeter of the actual room in feet?

An architectural drawing includes an elliptical garden with major axis 4 inches and minor axis 2 inches on the blueprint. If the scale is 1 inch = 10 feet, what is the area of the actual garden in square feet?

A site plan shows a spiral staircase that makes exactly 5 rotations with each rotation rising 2 feet. If the scale is 1 inch = 5 feet, and the diameter of the staircase is 3 inches on the drawing, what is the total vertical height gained by the staircase?

A construction plan shows a hexagonal window with sides of 2 inches each. If the scale is 1 inch = 6 feet, what is the total length of the frame needed to go around the window in feet?

On a landscaping blueprint, a circular flower bed has a circumference of 3.14 inches. If the scale is 1 inch = 20 feet, what is the diameter of the actual flower bed in feet?

A pulley system is designed to lift a 200-pound weight using a force of 50 pounds. How many pulleys are needed in the system?

In a hydraulic system, a small piston with a diameter of 2 inches is used to lift a large piston with a diameter of 8 inches. What force must be applied to the small piston to lift a 1600-pound weight on the large piston?

A gear system consists of a 20-tooth drive gear and a 60-tooth driven gear. If the drive gear rotates at 120 RPM, what is the rotation speed of the driven gear?

A lever with a length of 5 feet has the fulcrum placed 1 foot from the load. If the effort arm is 4 feet long, what effort force is needed to lift a 200-pound load?

A screw has a pitch of 0.1 inches, meaning it moves forward 0.1 inches for every complete turn. If the screw is turned 50 times, how far will it have moved?

A beam is supported at both ends and a force is applied in the middle. If the length of the beam is 10 feet and the force applied is 100 pounds, what is the moment at the supports?

A cylindrical tank is filled with water through a pipe at the rate of 5 cubic feet per minute. If the tank's diameter is 10 feet and its height is 20 feet, how long will it take to fill the tank completely?

A belt connects two pulleys with diameters of 2 inches and 4 inches, respectively. If the smaller pulley rotates at 200 RPM, what is the rotational speed of the larger pulley?

In a fluid system, if the pressure at one point is 50 PSI and the flow rate is 10 gallons per minute, what will be the flow rate if the pressure is increased to 100 PSI?

A wheel and axle mechanism is used to raise a weight. If the radius of the wheel is 2 feet and the radius of the axle is 0.5 feet, what effort is needed to lift a 100-pound weight?

If a force of 10 pounds is applied to a 6-inch long wrench to loosen a bolt, what is the torque applied to the bolt in foot-pounds?

A centrifugal pump is operating at a speed of 1200 RPM and delivering a flow rate of 300 gallons per minute. If the pump speed is increased to 1800 RPM, what will be the new flow rate, assuming pump efficiency remains constant?

A pressurized container has a safety valve set to release at 150 PSI. If the area of the valve opening is 0.1 square inches, what is the force exerted by the pressurized gas on the valve at the moment it opens?

An electric motor applies a torque of 50 Newton-meters to a gear with a radius of 0.5 meters. What is the angular velocity of the gear if it is delivering 100 Watts of power?

In a hydraulic brake system, the master cylinder has a diameter of 1 inch, and the slave cylinder has a diameter of 2 inches. If the force applied to the master cylinder is 10 pounds, what is the force exerted by the slave cylinder?

A worm gear reduces the speed of an input shaft from 1800 RPM to 200 RPM. What is the gear ratio?

If a force of 200 Newtons is applied at the end of a 2-meter long lever arm to lift a weight, and the lever is balanced with the fulcrum 0.5 meters from the weight, what is the weight being lifted?

A fan is connected to a motor by a belt. If the diameter of the motor pulley is 4 inches and the diameter of the fan pulley is 2 inches, and the motor runs at 1800 RPM, what is the RPM of the fan?

A hydraulic press has a force output of 10,000 pounds. If the input piston has an area of 1 square inch and the output piston has an area of 100 square inches, what is the input force required?

An inclined plane has a height of 2 meters and a length of 10 meters. If a force of 50 Newtons is required to push an object up the plane, what is the weight of the object?

A U-shaped tube is filled with water, and one end is connected to a vacuum that reduces the pressure by 1 atmosphere (approximately 101.3 kP

A car's wheel has a radius of 0.3 meters, and the engine applies a torque of 200 Newton-meters to the wheel. If the car is in a state of static friction with the coefficient of friction being 0.8, what is the maximum force that can be applied to the car before it starts to move?

A four-bar linkage mechanism consists of four bars linked in a loop, with one bar fixed. If the lengths of the bars are 2, 3, 4, and 5 meters, respectively, and the input angle for the shortest bar is 30 degrees, what is the output angle of the opposite bar, assuming ideal conditions?

In a cam and follower mechanism, the cam has a base circle diameter of 50 mm and a lift of 20 mm. What is the maximum diameter of the cam?

A fluid is flowing through a pipe with a diameter of 100 mm at a velocity of 2 m/s. If the diameter of the pipe is reduced to 50 mm, what is the new velocity of the fluid, assuming incompressible flow?

A belt transfers power from a drive pulley with a diameter of 300 mm to a driven pulley with a diameter of 600 mm. If the drive pulley is rotating at 1500 RPM, what is the torque on the driven pulley, assuming 90% efficiency and no slip?

A load is lifted by a crane using a steel cable that is wound around a drum with a radius of 1 meter. If the tension in the cable is 1000 N and the drum rotates 10 times to lift the load to the desired height, what is the work done by the crane?

A spherical tank has a radius of 2 meters and is filled with a fluid at a pressure of 100 kPa. What is the total force exerted by the fluid on the top hemisphere of the tank?

A car's engine generates 200 Nm of torque and is connected to wheels of radius 0.3 m. What is the maximum force that can be exerted on the road by the wheels?

In a gear train consisting of 3 gears, the first gear has 10 teeth and is rotating at 1000 RPM. The second gear has 20 teeth and the third gear has 30 teeth. What is the rotational speed of the third gear?

A column is subjected to a compressive load of 100 kN and has a cross-sectional area of 200 mm^2. What is the stress in the column?

A fan blade rotates at a speed of 1200 RPM. If the tip of the blade is 0.75 meters from the center, what is the linear velocity of the tip?

A pulley system consists of a fixed pulley and a movable pulley to lift a load. If the effort required to lift a 400 N load is 200 N, what is the mechanical advantage of the system?

A pinion gear with 10 teeth meshes with a rack. If the pinion rotates 360 degrees, how far in millimeters does the rack move, assuming the pitch of the gear is 5 mm?

In a compound gear train, Gear A has 40 teeth and is meshed with Gear B which has 20 teeth. Gear B is on the same shaft as Gear C, which has 30 teeth and meshes with Gear D having 15 teeth. What is the overall gear ratio of the system?

In a mechanical system, what component is typically used to convert rotary motion into linear motion?

Which type of bearing is specifically designed to support axial loads?

What is the primary function of a hydraulic fluid in a hydraulic system?

Which mechanical device is used to increase the magnitude of torque or rotational force?

In pneumatic systems, what is the common use of an air compressor?

A cylindrical tank is filled with water through a pipe at the rate of 5 cubic feet per minute. If the tank's diameter is 10 feet and its height is 20 feet, how long will it take to fill the tank completely?

If a force of 200 Newtons is applied at the end of a 2-meter long lever arm to lift a weight, and the lever is balanced with the fulcrum 0.5 meters from the weight, what is the weight being lifted?

Which type of bearing is specifically designed to support axial loads?

After reading a detailed passage about the construction of a suspension bridge, which of the following components is NOT typically involved in the tension and compression dynamics described?

A manual describes the process of laying asphalt for a new road. According to the manual, what is the primary reason for compacting asphalt during installation?

In a section explaining the safety protocols for working at heights, which piece of equipment is deemed essential for preventing falls?

A pressure gauge connected to a tank containing a gas reads 300 kPa. If the atmospheric pressure is 100 kPa, what is the absolute pressure of the gas in the tank?

According to a document on electrical safety in construction, what is the primary method for preventing electrocution during work near power lines?

A technical passage describes the installation of a central heating system. Which component is responsible for distributing heat throughout the building?

An article on sustainable construction practices suggests the use of a particular material for its low environmental impact. Which of the following materials is praised for being renewable?

A detailed explanation is given about the process of waterproofing a building's foundation. What is the primary purpose of applying a waterproof membrane around the foundation?

After reading about the methods of testing concrete strength, which test is specifically designed to measure the compressive strength of concrete cylinders?

A cylindrical tank's blueprint shows a diameter of 2 inches and a height of 3 inches. If the scale is 1 inch = 5 feet, what is the actual volume of the tank in cubic feet?

In a document describing the layout of a construction site, what is the primary function of the designated staging area?

A passage discusses the challenges of building in cold weather. What is a crucial step mentioned for pouring concrete in low temperatures?

In a discussion on the types of load a building can bear, which type of load is described as resulting from environmental factors like wind and snow?

When discussing the principles of sustainable architecture, what is identified as a key benefit of incorporating green roofs into building designs?

A technical document outlines the procedures for retrofitting older buildings to resist seismic activity. Which retrofitting technique is specifically recommended for enhancing the lateral stability of a structure?

In an article about modern construction materials, which material is praised for its fire-resistant properties and thermal insulation capabilities?

A discussion on the challenges of constructing tunnels underwater mentions a specific method for creating the tunnel sections. Which method is highlighted as being commonly used for this purpose?

In a safety briefing on handling hazardous materials on construction sites, which type of personal protective equipment (PPE) is emphasized as essential for protecting the respiratory system?

A passage on the advancements in digital tools for construction management explains a system that allows for real-time project tracking and collaboration. What is this system commonly referred to as?

When outlining the process for preparing a site for construction, which activity is specifically mentioned as being crucial for ensuring proper drainage and avoiding water-related issues?

A document describes the use of drones in construction for various applications. Which application is highlighted as a benefit for project managers and site supervisors?

In a discussion on innovative cooling technologies for buildings, which technology is mentioned as utilizing the natural process of evaporation to reduce indoor temperatures?

A report on enhancing the energy efficiency of commercial buildings focuses on a specific type of window technology. Which technology is noted for its ability to minimize heat gain while maximizing natural light?

An article on the principles of lean construction emphasizes a particular approach to managing construction projects. What is the primary goal of this approach?

A comprehensive analysis on the retrofitting techniques for earthquake-prone buildings highlights a specific method for increasing structural resilience. Which method involves wrapping existing columns and beams with fiber-reinforced polymers?

In an article discussing the environmental impact of construction projects, which practice is emphasized as crucial for minimizing damage to surrounding ecosystems?

A document detailing the advancements in construction technology mentions a specific material known for its exceptional strength-to-weight ratio. Which material is highlighted for its applications in high-rise construction?

A technical guide on water management systems for urban developments discusses a particular strategy for reducing surface runoff. Which strategy involves creating permeable pavements?

An in-depth report on fire safety measures in skyscrapers focuses on a specific system designed to contain fires and prevent smoke spread. What system is identified as integral to compartmentalizing floors and corridors?

A discussion on the role of project management software in construction projects emphasizes a specific functionality. Which functionality is praised for improving communication and coordination among team members?

In a guide to sustainable landscaping practices for commercial properties, which technique is recommended for reducing water usage while maintaining green spaces?

An article on innovative heating, ventilation, and air conditioning 'HVAC' solutions for energy-efficient buildings highlights a specific technology. Which technology uses the earth's stable temperature to heat and cool buildings?

In discussions about reducing the carbon footprint of construction projects, which strategy is identified as effective for capturing and storing carbon dioxide?

A comprehensive review of noise reduction techniques in urban environments mentions a particular construction approach for highways. Which approach is noted for its ability to decrease traffic noise for nearby communities?

A construction project requires a concrete slab to be poured that is 30 feet long, 20 feet wide, and 0.5 feet thick. How many cubic yards of concrete are needed, given 1 cubic yard = 27 cubic feet?

A construction project requires 3.5 cubic yards of concrete per hour over an 8-hour workday. If concrete is ordered in cubic meters, how many cubic meters of concrete are needed for one day, given 1 cubic yard equals 0.764 cubic meters?

A worker is paid $15.50 per hour for a standard 40-hour week. For each hour over 40, the worker is paid 1.5 times the standard rate. If the worker works 50 hours in one week, what is their total weekly pay?

If the diameter of a cylindrical tank is increased by 20% and its height is reduced by 25%, what is the net effect on the tank's volume?

A ladder leans against a wall at a height of 10 meters. If the bottom of the ladder is 6 meters from the base of the wall, what is the length of the ladder?

A contractor needs to distribute 600 bricks equally among 4 workers. After distribution, 2 more workers join. How many bricks must each of the original workers give to the new workers to ensure an equal share among all six workers?

If a circle has a circumference of 31.4 meters, what is its radius?

The area of a rectangular plot is 300 square meters. If the length is 5 times the width, what is the width of the plot in meters?

If a vehicle travels at an average speed of 45 miles per hour, how many miles will it travel in 15 minutes?

The density of a material is 2.5 g/cm^3. What is the mass of a cube of this material with a side length of 4 cm?

If 5 workers can complete a job in 8 days, how many days will it take 10 workers to complete the same job, assuming all workers work at the same rate?

If the sum of three consecutive even numbers is 90, what is the smallest of these numbers?

The sum of the ages of three siblings is 42 years. If the youngest is half as old as the middle sibling, and the oldest is twice as old as the youngest, what is the age of the middle sibling?

A worker drives from Home to Work at a speed of 40 km/h and returns on the same route at 60 km/h. What is the average speed for the entire trip?

A rectangular tank is 25% filled with water. After adding 750 liters of water, it is 50% full. What is the total capacity of the tank in liters?

A ladder leans against a wall forming a 60-degree angle with the ground. If the top of the ladder touches the wall 15 meters above the ground, what is the length of the ladder?

A trapezoidal channel has a bottom width of 2 meters, a depth of 3 meters, and the side slopes are 1 vertical to 2 horizontal. What is the area of the cross-section in square meters?

A pipe carries water at a velocity of 3 meters per second. If the diameter of the pipe is doubled, what will be the new velocity of water in the pipe, assuming incompressible flow and conservation of mass?