Area and Surface Area
A scale drawing of a rectangular flag has a length of 2 inches and a width of 1 inch. If the scale factor is 1:18, what are the actual dimensions of the rectangular flag?
18 inches x 36 inches
A factory has a cutting machine that can cut 105 parts every 3 minutes.
If the factory has 6 of these machines, how many parts can all 6 cutting machines cut in one minute?
210 parts
What is the diameter, circumference, and area of Ben's circle. Include units with each part of your answr.
Give three different sets of measurements that could be the interior angles of a triangle.
Must sum to 180.
A scale drawing of a rectangular flag has a length of 2 inches and a width of 1 inch.
What is the area, in square inches, of the actual flag?
648 inches squared
A sales person earns commission on the sales that she makes each month. The salesperson earns a 5% commission on the first $5000. The salesperson earns a 7.5% commission on the portion of her sales exceeding $ 5,000.
This month, she made $8000 in sales. What amount of commission in dollars did she earn?
$475
What is the volume of a triangular prism whose given side lengths are a base of 8 cm, a height of 12 cm, and and a width of 6cm?
288 cubic cm
A scale drawing of a rectangular parking lot has dimensions 12.8cm by 3.2cm. The width of the parking lot is shorter than the length. The width of the actual parking lot is 48 feet. How many feet of the parking lot are represented by 1 cm on the scale drawing?
15 feet per cm
A worker at the zoo calculates the amount of fish, in pounds, needed in the weekly diet of an eagle and a bear.
- The eagle eats 6 pounds of food each week, and 60% of that weight must be fish.
- The bear eats 105 pounds of food each week, and 25% of that weight must be fish.
What is the total number of pounds of fish that the eagle and the bear should eat each week? Round your answer to the nearest hundredth of a pound.
29.85lbs
What is the surface area of a cube with faces equal to 3cm by 3cm?
54 square cm
Angles that come together to make a straight line.
Supplementary Angles
An appliance store sells an oven for 25% off the original price. The sale price is $251.85 not including tax. What is the price of the oven, not including tax, before the discount was applied?
$335.80
A garden is in the shape of a semicircle with a radius of 25 feet. Edging is placed around the garden. How much edging, in feet, is needed to go around the garden. Round to the nearest whole number.
129 feet
An earthquake travels through 55km of rock in 25 seconds. Write an equation that represents the relationship between t, the number of seconds, and d, the total distance the wave travels.
d = 2.2t