Basic operations and concepts - math word problems - page 216 of 332
Number of problems found: 6633
- A license
A licence plate has three letters followed by four digits. Letters may not be repeated, but digits may be repeated. If plates are issued at random, what is the probability that the three letters are in alphabetical order and the four digits are consecutiv - Five letters
How many ways can five letters be arranged? - Bicycle Gear Options
Peter got a new bike for his birthday. His bike was equipped with many gears. How many gear options does Peter have if you have three wheels at the front and eight wheels at the back? List them all - Triangles - combinations
How many different triangles with sides of whole centimetres have a perimeter of 12 cm? - Castle Museum
Many medieval cannons made of cannon were found in the Castle Museum (cannon is an alloy of tin and copper in a ratio of 1:9). The councilors agreed that they did not need cannons, but a new bell would be thrown at the town tower. The bells are made of be - Inflation and deposits
A client deposits 100,000 euros in XYZ bank for a term deposit with an interest rate of 4% pa (per annum). After six months, you went to get the money. How much did he have in his account with the described half-yearly interest? PS When you deposit money - Driver
The car driver drove at 100 km/h saw the obstacle and began braking with a slowing of 5 m/s². What is the pathway's length to stop the car when the driver has registered the obstacle with a delay of 0.7 seconds? - Z9 – I – 4 MO 2019
Matúš landed with a parachute on an island inhabited by two kinds of natives: the Honest ones, who always tell the truth, and the Liars, who always lie. Before landing he glimpsed in the distance a harbour, to which he intended to get. At the first crossr - Cyclist trajectory
The seat of the bicycle is 1.2 m high. The cyclist weighs 82 kg, is going down a 15% hill at a speed of 50 km/h, and hits a curb 20 cm high at an angle of 45 degrees. How far from the center of the front wheel's axis is the cyclist thrown? We are assuming - Largest possible area
A right-angled triangle was inscribed in a circle with a diameter of 20 cm, whose hypotenuse is the circle's diameter and has the largest possible area. Calculate the area of this triangle. - Quadrilateral in circle
A quadrilateral is inscribed in the circle. Its vertices divide the circle in a ratio of 1:2:3:4. Find the sizes of its interior angles. - Triangle area percentage
A right-angled triangle ABC has sides a = 5 cm, b = 8 cm. The similar triangle A'B'C' is 2.5 times smaller. Calculate the percentage of the area of triangle ABC that is the area of triangle A'B'C'. - The Novak family 2
The Novák family had debts at two banks. They repaid Bank A a total of 26,500 CZK, with interest making up one fifth of the amount repaid. They repaid Bank B an amount 15,000 CZK less, including ten percent interest. a) What was the Novák family's origina - Swing balance distance
Roman and Mathias made a swing in the park by taking a 5 m-long pole and supporting it in the middle. Roman, weighing 52 kg, sat down at the left end. Where should Mathias sit to achieve balance if he weighs 60 kg? Enter the distance measured in meters fr - A tenth of a second
A frequent competition, even for amateurs, is long-distance running. The running time was measured with a stopwatch with a precision of one tenth of a second. Two other competitors were diligently overtaking each other in the last metres before the finish - MO Z6-1-3 2017 chessboard
Veronika has a classical chessboard with 8×8 cells. The rows are marked with digits 1 to 8, the columns with letters A to H. Veronika placed on the cell B1 a knight, which can be moved only as in chess. 1. Is it possible to move the knight in four moves t - Drug cure probability
The drug successfully treats the disease in 96% of cases. Your doctor will treat 50 patients with this medicine. What number of cures is most likely? - Menu choices
The dining room offers three types of soups and four types of main courses. How many ways can we choose soup and the main course? - In the orchard
They planted 25 apple trees, 20 pears, 15 plums, and 40 marbles in the orchard. An intense late frost, however, destroyed a fifth of all new trees. Unfortunately, it was all the trees of one kind of fruit. What is the probability that the plums have died - Family trip
Dulikovci, Elikovci, Filikovci, and Galikovci visited each other often last month. Each family visited each family exactly once. How many visits did all four families make together? If two families came to visit one family simultaneously, count it twice.
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