Unit conversion - practice problems - page 5 of 131

Number of problems found: 2620

Paper
The drawing paper has dimensions 220mm and 308mm. Pupils should cut it into squares of the same size so that they are as large as possible. Determine the dimensions of the square in cm and the number of squares.
Konrad
Konrad coaches football. He cycles 3 km to the stadium at an average 12 km/h speed. How long does Konrad take to cycle to the stadium?
There 32
There are 20 magazines in a pile. Each magazine is 5 mm thick. How high is the pile in meters?
FRAMES
Joe is making picture frames out of wood. The length of each frame is 10 inches, and the width is 8 inches. Each piece of wood used to make the frames is 8 feet long. How many pieces of wood will he need to make 10 picture frames? Clue: find the perimeter
A rectangular 11
A rectangular plot of land has sides that are 1200m long and 900m wide. If a hectare (10000m²) of the land costs R5200,00, the cost of the entire plot is:
David 5
David was riding his bicycle at a speed of 26.5 kilometers per hour (km/h). Use the fact that 1 kilometer is approximately equal to 0.6214 miles to convert this speed to miles per hour (mile/h)
A soccer
A soccer field (football pitch) has a length of 101.8 m and a width of 69.8 m. Find the total area of the field in square meters (m2) and convert this measurement to square yards (yd2). Use the fact that 1 yard = 0.9144 m. Round your answer to the nearest
A radio antenna
Avanti is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 21 meters from the building. The angle of elevation from her eyes to the roof (point A) is 42°, and the angle of elevation from
Piece of a wire
A piece of wire is bent into the shape of a triangle. Two sides have lengths of 24 inches and 21 inches. The angle between these two sides is 55°. What is the length of the third side to the nearest hundredth of an inch? A: The length of the third side is
Map scale
On a map, on a scale of 1:50000, what is the distance in kilometers that 6 cm on the map represents?
Martha 3
Martha placed 225 liters of water into a child swimming pool that holds 3.8 hectoliters. How much more water does Martha need to fill the pool?
Subtract polar forms
Solve the following 5.2∠58° - 1.6∠-40° and give answer in polar form
The factory 3
The factory is 18 km away from the city. A cyclist leaves the factory for the city, and half an hour after him from the same place, a motorcyclist arrives 6 minutes before the cyclist in the city. Find the speed of each, knowing that the speed of the cycl
Salt water
The ratio of water (in liters) to salt (in grams) needs to be 3 to 2. If we add 10 grams of salt, how much water do we need to add?
Scale model
In a model train set, 1.38 inches represents one foot in real life. The height of One World Trade Center in New York City is 1776 feet. How tall would a scale model of the building be? Should you calculate 1776 x 1.38 or 1776 ÷ 1.38?
The long
The long side of a rectangular frame is 2′9″, and the short side is 1′3″. What is the area of the frame in square feet?
Workers
Suppose John starts work at 8:45 AM and finishes at 5:15 PM. He has 90 minutes of breaks. How many hours does he work in 5 days?
Half-hour
How many minutes are in 1/2h (in a half hour)?
Conjugate coordinates
If the rectangular conjugate of the polar vector 12 angle 35 degrees is equal to x+yi, find the sum of x and y.
The corn
When the corn was ready for harvest 75 days later, it measured 2 ¼ meters high. What is the measurement in centimeters?

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