108 Questions
What skill is developed when using a national road map?
Deciding on the most appropriate route between destinations
What type of map is used to determine the positions and names of streets within a city?
Street Map
What is the purpose of a distance table on a national road map?
To determine distances between major cities and towns
What is the formula to calculate the actual distance from a map measurement?
Actual distance = Map measurement × Scale factor
What skill is developed when using a strip chart?
Determining more accurate traveling distances on specific sections of a route
What type of map is used to show the positions of houses within a small housing complex?
Housing Complex Map
What is the purpose of a scale on a map?
To estimate traveling distances when a distance table or distance markers are not provided
What is the first step in calculating the actual distance from a map measurement?
Measure a distance on a map
What is the formula to convert actual distance to map measurement?
Map measurement = Actual distance / Scale factor
What type of scale is expressed in the format 1:50,000?
Number Scale
What is the purpose of a floor plan?
To show a 2-dimensional perspective of a building from above, without the roof
What happens to a number scale when a map is resized?
The scale becomes invalid
What type of scale shows the relationship between measured length and actual distance?
Bar Scale
What is the formula to convert map measurement to actual distance?
Actual distance = Map measurement × Scale factor
Why can't distances be determined accurately on a map?
Because of various factors, including accurate measurement and location
What is the advantage of a bar scale over a number scale?
Bar scales remain valid even when the map is resized
What is the purpose of understanding scales in mapping?
To estimate distances accurately
What does a number scale of 1:50,000 mean?
The actual area is 50,000 times larger than the map
What is the primary purpose of a floor plan?
To see the design and dimensions of the inside of a building or structure
What is shown on an elevation plan?
Dimensions and layout of the outside of the building
What is the purpose of a design drawing?
To see what a completed item will look like and the dimensions of its parts
What is the formula to calculate plan measure from actual dimension?
Plan Measure = Actual Dimension / Scale Factor
What is the primary purpose of section 3: Drawing Scaled Plans?
To calculate plan measure from actual dimension
What is the key concept of working with plans?
All of the above
What is the key concept of design drawings?
All of the above
What is the purpose of 3D models in this context?
To facilitate the movement between 2D and 3D representations of objects
What is a 2D net?
A flat layout that, when folded, forms a 3D object
What is the process of building 3D models from 2D plans/nets?
Cut out the 2D net from the provided plans and fold along the indicated lines
What is the main difference between simple and compound events?
The complexity of the probability calculation
What is the formula to calculate the probability of a simple event?
P(event) = number of ways in which an event can happen / total number of possible outcomes
What is the purpose of a tree diagram in compound events?
To list all possible outcomes and determine their probabilities
What is an example of a compound event?
Insurance rate prediction
What is the uncertainty in prediction?
The likelihood of the event occurring, but not a guarantee
What is the format of a probability value that is obtained by multiplying the fraction by 100?
Percentage format
What is the purpose of a tree diagram?
To visualize and list all possible outcomes of compound events
What type of relationship occurs when a value is increased by a factor and then this new increased value is again increased by the factor?
Constant ratio relationship
What is the formula to calculate the probability of a simple event?
P(event) = number of ways in which an event can happen / total number of possible outcomes
What is represented by the flat portion of a graph in a combination of relationships?
A fixed fee that does not change with usage
What is the purpose of a two-way table?
To compare two different variables and determine their probabilities
What is the definition of a compound event?
An event that involves more than one occurrence or trial
What is the purpose of two-way tables in compound events?
To determine probability values and make predictions
What is a characteristic of a graph that represents a constant ratio relationship?
The graph becomes steeper at an increasing rate
What is the purpose of converting actual values to percentage probability values?
To make the values easier to interpret
What is the definition of a simple event?
An event that involves a single occurrence or trial
What is the purpose of using historical trends in probability?
To predict future events based on past trends
What is the format of a probability value derived by dividing the fraction?
Decimal format
What is the purpose of probability values in advertisements?
To make predictions based on historical data
What is the main difference between simple and compound events?
The number of occurrences or trials
What is the first step in creating a 3D model?
Drawing 2D plans/nets
What is the purpose of measuring materials accurately?
To ensure materials fit together correctly
What is the formula to calculate the probability of a simple event?
P(event) = number of ways in which an event can happen / total number of possible outcomes
What is the importance of following the assembly steps in sequence?
To ensure components fit together properly
What is the purpose of regularly checking the assembled parts against the instructions or plans?
To make adjustments as needed to correct mistakes
What is the definition of a probability value?
A prediction of the likelihood that an event may occur
What is the purpose of interpreting instructions or plans for assembly?
To identify all components and tools required
What is the importance of using mathematical tools and techniques in assembly?
To ensure accurate measurements
What is the purpose of estimating the quantities of materials needed for assembly?
To determine the cost of materials
What is a simple event in probability?
An event that involves a single occurrence or trial
What type of relationship is characterized by a graph that is not a straight line but becomes steeper at an increasing rate?
Constant ratio relationship
What is the purpose of drawing graphs in unfamiliar situations?
To make sense of the situation and reveal patterns and trends
What type of relationship is represented by a flat portion on a graph?
Fixed fee that does not change with usage
What is the characteristic of a step-function relationship?
Different fees are charged for different time intervals
What is the purpose of recognizing and understanding the implications of different relationships?
To analyze and interpret real-world situations
What type of relationship is characterized by a graph that is made up of a combination of different types of relationships?
Combination of relationships
What is the characteristic of an increasing portion on a graph?
Additional charges that increase linearly with usage
What is the purpose of interpreting and analyzing the meaning of different portions of a graph?
To understand real-world situations
What type of relationship occurs when a value is increased by a factor, and then this new increased value is again increased by the factor or percentage?
Constant ratio relationship
What is the characteristic of a graph that represents a step-function relationship?
The graph looks like a series of steps
What is the formula to convert weight from grams to volume in milliliters?
Volume (ml) = (Weight (g) / Conversion Factor) × Conversion Factor for Volume
What is the main advantage of drawing graphs of unfamiliar situations?
To reveal patterns and trends that were not visible without the graph
How do you convert cubic units to liters?
Volume (l) = Volume (m³) × 1,000
What is the point of intersection in the context of comparing the cost of electricity on different systems?
The point where the cost of electricity on the two different systems is the same
What is the formula to calculate the total liters of paint needed?
Paint Needed (liters) = Surface Area (m²) / Spread Rate (m²/liter)
What is the first step in estimating the point of intersection from a graph?
Identify the two graphs
Why is it important to double-check your calculations when performing conversions?
To ensure accuracy and avoid mistakes
What is the formula to convert minutes to seconds?
Seconds = Minutes × 60
What is the purpose of the trial and improvement method?
To estimate the values at which two relationships are equal
What do conversion factors allow you to do?
Switch between different units of measurement
What is the formula to convert hours to seconds?
Seconds = Hours × 3600
How do you calculate the total seconds from a time value in hours, minutes, and seconds?
Total Seconds = (Hours × 3600) + (Minutes × 60) + Seconds
What is the formula to convert weight from kilograms to pounds?
Weight (pounds) = Weight (kg) × 2.206
What is the first step in calculating the time difference between two time values?
Identify the start and end times
What is the importance of understanding intersection points?
To analyze and interpret data
What is the formula to convert temperature from Celsius to Fahrenheit?
°F = (1.8 × °C) + 32
What is the purpose of using a timetable?
To identify the week and dates of the events
Why are conversions between solid and liquid quantities essential?
In cooking and construction
Why is it important to understand the context in which the conversion is being performed?
To use the correct units and conversion factors
What is the purpose of the steps in estimating the point of intersection from a graph?
To find the point where the two graphs intersect
What is the purpose of converting minutes to hours?
To plan activities according to a timetable
What is the formula to convert minutes to seconds?
Seconds = Minutes × 60
What is the purpose of understanding units of measurement?
To convert between different units of measurement
What is the purpose of measuring time?
To calculate the time elapsed between events
What is the purpose of using thermometers?
To measure temperature in degrees Celsius or Fahrenheit
What is the purpose of understanding scaling in maps?
To represent real-life objects or distances
What is the purpose of using significant figures?
To reflect the precision of the data
What is the first step in measuring and estimating?
Identify the quantity to be measured or estimated
What is the purpose of using rates and proportions?
To solve problems involving speed, density, and other rate-based measures
What is the purpose of measuring mass and weight?
To use scales and balances to measure mass and weight
What refers to the total area of all the surfaces of a 3-dimensional object?
Surface area
What is the formula to calculate the surface area of a rectangular box?
SA = 2lw + 2lh + 2wh
What is the unit of measurement for surface area?
Square units
What is the formula to calculate the volume of a rectangular box?
V = l × w × h
What is the unit of measurement for volume?
Cubic units
How many liters can 1 cubic meter hold?
1000 liters
What is the conversion ratio between cubic centimeter and milliliter?
1 cm³ = 1 ml
Why is it important to convert between units when performing surface area and volume calculations?
To ensure accurate results
What is the formula to calculate the volume of a cylindrical container?
V = πr²h
What is the formula to calculate the surface area of a cylinder with a lid and a base?
SA = 2πr² + 2πrh
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