Unit conversion - math word problems - page 19 of 134

Number of problems found: 2678

Park path triangle
The paths in the park form a right-angled triangle, which on the map with a scale of 1:200 has two dimensions of side lengths of 9 cm and 15 cm. Grandma walks this route every day for a health walk. How many meters does she walk?
Pool stride area
Teo went around the pool twice. He took 160 steps in the process. He took 25 steps along the length. How much area does the pool take up, and how long is Tro's stride? 0.5 m?
Rainwater cube buckets
The gardener collects rainwater in a cube-shaped container with an edge length of 80 cm. How many 16-liter buckets will he fill with water from a full reservoir?
Car distance remaining
The car travels from Prague to Brno at a speed of 80 km/h and still has 15 minutes to drive. How far is it from Brno?
City distance centimeters
The cities are 400 km apart; how many cm is it on a 1:400,000 scale map?
Examples on solutions
Example no. 1: For the preparation of a 2% solution we need 20 l of water. How many ml of preparation do we use? Example no. 2: How many litres of water/preparation do we need for the preparation of 20 litres of a 2% solution? Example no. 3: How many litr
City baths
In the city baths, each visitor pays 100 Kč (Czech crown) for 90 minutes. With a city card, the visitor pays for the same time 50 Kč. The price of the city card is 300 Kč. Martin and Emil always go swimming together and their visit lasts exactly 90 minute
Football field scale
What is the scale of the city plan if the new football field with dimensions of 90 m by 120 m is shown on it as a rectangle with dimensions of 3 cm by 4 cm?
Forest square map
A forest with a square plan has an area of 4 square km. What side will the square have on a 1:50,000 scale map?
Apex of the Isosceles triangle
The angle at the apex of an isosceles triangle is 78°. The base is 28.5 cm long. What is the shoulder length?
Toothpaste roll length
How long will the roll of toothpaste be extruded from the tube if the volume of the toothpaste is 100 ml and the diameter of the opening is 8 mm?
Quadrilateral triangle segment
The quadrilateral ABCD is symmetrical about the diagonal AC. The length of AC is 12 cm, the length of BC is 6 cm, and the interior angle at vertex B is right. points E and F are given on the sides AB, and AD so that the triangle ECF is equilateral. Determ
Cube edge meter
How many cubes with an edge of 1 cm fit into a cube with an edge of 1 m?
Circle and chord
The chord of a circle is 233 long, and the length of the circular arc above the chord is 235. What is the circle's radius, and what is the central angle of the circular arc?
Map scale reduction
Cyril marked a square plot of land on a map with a scale of 1 ∶ 50,000 and calculated that its side corresponds to 1 km. He reduced the map on the copier so that the marked square had an area smaller by 1.44 cm² than on the original map. What was the scal
Rectangle pool
The cube-shaped pool is 50 m long and 16 m wide. They poured 12,000 hl of water into it. Calculate the surface area of the pool that is wetted by water.
Cyclist peloton speed
The front of the cycling peloton travels at an average speed of 48 km/h. The cyclist with the green T-shirt lost 5 minutes when he fell. What speed must he drive if he wants to reach the front of the peloton in twenty minutes? Possible?
Pot water half
The pot has a diameter of 24 cm and a height of 5 dm. How many liters of water are in the pot if it is half full?
Motorcyclist gully fall
An undisciplined motorcyclist drove at an unreasonable speed on a mountain road, lost control in a bend, and left the roadway at 90 km/h. He was falling into a gully 36 m deep. Draw a cross-sectional picture of the whole situation. How far did the motorcy
Tank inlet filling
The fire tank is filled with three inlets, each flowing 6 liters per second in 12 hours. How long will it take to fill if 8 liters per second flow through each of them?

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