Unit 1: Scale Drawings
What is a scale drawing?
A scale drawing represents an actual place or object. All the measurements in the drawing correspond to the measurements of the actual object by the same scale.
What is a proportional relationship?
A proportional relationship is a relationship between two variables where when one variable changes, increases, or decreases the other will change at a constant rate.
What is the formula for the circumference of a circle?
C = pi x diameter
OR C = 2 x pi x radius
How do you convert a fraction to a percentage?
Divide the numerator by the denominator, then multiply by 100.
What is the absolute value of -8?
8
If a drawing is scaled up by a factor of 3, and the original length is 4 cm, what is the new length?
12 cm
If 3 apples cost $2, how much do 9 apples cost?
$6
If the radius of a circle is 7 cm, what is its diameter?
14 cm
What is 25% of 200?
50
What is −5+3?
-2
A map uses a scale of 1 inch to represent 10 miles. How many miles does 5 inches represent?
50 miles
If the ratio of boys to girls in a class is 2:3 and there are 12 boys, how many girls are there?
18 girls
Calculate the circumference of a circle with a diameter of 10 cm. (Use C=πdC=πd)
C = 10π OR 31.415 cm
If a shirt originally costs $40 and is on sale for 25% off, what is the sale price?
$30
If you owe $20 and you earn $15, how much do you have now?
-$5
A scale drawing has a length of 10 in. The actual length is 100 ft. What is the scale factor?
10
A recipe calls for 4 cups of flour for 2 cups of sugar. If you want to use 6 cups of sugar, how much flour do you need?
12 cups
What is the area of a circle with a radius of 5 cm?
A = 25pi OR 78.54 cm
A student scored 18 out of 20 on a test. What percentage did they score?
90%
What is the result of multiplying a positive number by a negative number?
Negative number
If a scale drawing has a length of 12 cm and a scale factor of 1:4, what is the actual length?
48 cm
What does the graph of a proportional relationship look like?
It starts at the origin (0,0) and is a straight line.
If a circle has a circumference of 31.4 cm, what is the radius? (Use C=2πr)
5 cm
A price goes from $50 to $65. What is the percent increase?
30% increase
What is -5 + 3(-2)?
-11