Fall Bench Review: Day 1

Front

What is a scale model?

Back

A scale model is a representation of an object that maintains accurate relationships between its dimensions, often used to visualize large objects in a smaller size.

Front

If 1 inch represents 12 feet in a scale model, how do you convert actual feet to inches?

Back

To convert feet to inches in a scale model, divide the actual height in feet by the scale factor. For example, for a height of 444 feet: 444 feet ÷ 12 = 37 inches.

Front

What is the formula to calculate temperature change over time?

Back

To calculate temperature change, use the formula: Final Temperature = Initial Temperature - (Rate of Change × Time).

Front

If the temperature decreases by 4 degrees each hour, what is the temperature after 6 hours if it starts at 10 degrees?

Back

Final Temperature = 10 - (4 × 6) = 10 - 24 = -14 degrees.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

If the ratio of lights to trees is 45:3, how many lights are needed for 8 trees?

Back

To find the number of lights for 8 trees, set up a proportion: (45 lights / 3 trees) = (x lights / 8 trees). Solving gives x = 120 lights.

Front

What is the process to subtract mixed numbers?

Back

To subtract mixed numbers, convert them to improper fractions, find a common denominator, subtract, and convert back to a mixed number if necessary.

Front

How much ribbon is left if 14 3/8 feet is reduced by 3 1/2 feet and 3 ribbons of 1 7/8 feet?

Back

Total used = 3 1/2 + 3(1 7/8) = 3 1/2 + 5 5/8 = 9 1/8 feet. Remaining ribbon = 14 3/8 - 9 1/8 = 5 1/4 feet.

Front

What is the significance of negative temperatures?

Back

Negative temperatures indicate temperatures below the freezing point of water (0 degrees Celsius or 32 degrees Fahrenheit).

Front

How do you calculate the total decrease in temperature over several hours?

Back

Total decrease = Rate of decrease × Number of hours. For example, if the rate is 3.5 degrees per hour over 8 hours, total decrease = 3.5 × 8 = 28 degrees.