Reasoning - math word problems - page 59 of 87
Number of problems found: 1733
- Vacation ticket
Helen and Marta want to go on vacation together. Helen lacks CZK 300 to buy the selected ticket, and Marta has 4 times that amount left over. We know that Marta has 50% more CZK available than Helen. How much does a ticket cost? - Wagons and cranes
The same cranes are unloading 96 wagons. There would be fewer wagons for each crane if there were two more cranes. How many cranes were there? - Circumscribed by triangle
Inside the rectangle ABCD, the points E and F lie so that the line segments EA, ED, EF, FB, and FC are congruent. Side AB is 22 cm long, and the circle circumscribed by triangle AFD has a radius of 10 cm. Determine the length of side BC. - Circumference of the garden
The garden is 90 m long. What is the smallest width if it is possible to walk (circumference) in steps of 80 cm or 50 cm? - Land Area from Map
What is the land area in reality if 1 cm² occupies a 1:20000 scale map? - Letter puzzle
Cryptarithmetic puzzle. Replace the letters with digits to get the correct sum: ŠKRZ KRK STRČ ______ PRST How many solutions does the problem have? - Mother and daughter
The mother is four times older than her daughter. Five years ago, her daughter was seven times younger than her mother. How many years do they have now? - Family 8 The father is 38 years old, the daughter is 12, and the son is 14. In how many years will the father be as old as his children's ages combined?
- Digit equations
The digit sum of a two-digit number is 8. If we change the order of the digits, we get a number 18 smaller than the original. Identify these numbers. We are using linear equations of two unknowns. - Bus Passenger Distribution
There are 36 passengers on the bus. There are seven women more than men and 22 children less than adults. How many men, women, and children are on the bus? - Dividing Goods to Stores
They delivered goods to four stores. First, they collected one-third of the shipment, second only two-thirds of what happened in the first. In the third, one-quarter of the rest, and the fourth, the remaining 240 kg. How much did they make at each store? - Z9–I–4 MO 2017
Numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 were prepared for a train journey with three wagons. They wanted to sit out so that three numbers were seated in each carriage, and the largest of the three was equal to the sum of the remaining two. The conductor sai - Word MATEMATIKA
How many words can be created from the phrase MATEMATIKA by changing the letters' order, regardless of whether the words are meaningful? - Candies - coloured
There were red and green candies in a tin. Charlie ate 2/5 of all the red candies, and Susan ate 3/5 of all the green candies. Now the red candies make up 3/8 of all the candies in the tin. How many candies were originally in the tin? - MO Z6 I-3 2017 jars
Jano had 100 identical preserving jars, from which he built triangular pyramids. The highest floor of the pyramid always has one jar, the second floor from the top represents an equilateral triangle, whose side consists of two jars, etc. An example of the - MO Z7–I–3 2017
A zoological garden offered school groups an advantageous admission: every fifth pupil gets a ticket free of charge. The teacher of 6.A calculated that if he buys admission for the children from his class, he will save for four tickets and will pay 19.95 - MO Z8–I–4 2017
Robots Robert and Hubert assemble and disassemble coffee grinders. Each of them, however, assembles a grinder four times faster than the other one disassembles it. When they came to the workshop in the morning, several grinders were already assembled ther - Repeating digits There is a thousand one-digit number, which consists of repeating digits 123412341234. What remainder gives this number when dividing by nine?
- Unadjusted clock
Matej was finding out how precisely the tower clock measures time. He came to the conclusion that if no one adjusted it on an ongoing basis, it would show completely exact time once every 200 days. a) Calculate by how many seconds the time measured by the - Intersection of the altitudes
In the acute triangle KLM, the angle KLM is 68°. Point V is the intersection of the altitudes, and P is the foot of the altitude on the side LM. The angle P V M axis is parallel to the side KM. Compare the sizes of angles MKL and LMK.
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