Reasoning - math word problems - page 40 of 88
Number of problems found: 1754
- AM of three numbers
The number 2010 can be written as the sum of 3 consecutive natural numbers. Determine the arithmetic mean of these numbers. - Average grade puzzle
The top five mathematicians in the class took on the teacher's help in calculating the paper's average grade. They dictated the following results: Mischa: "I came up with 3.30. " Dasha: "That's weird because it worked out precisely at 3.45. " Jana: "You p - Grandpa MO Z5–I–5 2019
Grandpa has three apple trees in his garden with a total of 39 apples on them. There are apples on only eight branches: one apple tree has two branches, and the other two apple trees have three branches each. Different branches bear different numbers of a - Cyclist speed observation
The observer sits in a room 2 m from a 50 cm wide window. A road runs parallel at a distance of 500 m. What is the cyclist's average speed on this road when the observer sees him at 15 seconds? - Bus catching calculation
Mr. Pozdechodim missed the bus at 10.05. At 10.10, he passed Jindra. The bus travels at an average speed of 60 km/h and Jindra at 80 km/h. Will they catch the bus, which is 20 km from the next stop? - Boys and girls
There are 20 boys and ten girls in the class. How many different dance pairs can we make of them? - Z8–I–5 MO 2019
For eight different points as shown in the figure: points C, D, and E lie on a line parallel to line AB; F is the midpoint of segment AD; G is the midpoint of segment AC; and H is the intersection of lines AC and BE. The area of triangle BCG is 12 cm² and - Cut trees
There are 1,200 trees in the grove, of which 55 percent are deciduous, the remaining coniferous. Workers cut down 35 percent of a) trees, b) deciduous trees, and c) coniferous trees. How many trees now have this grove? - Sparklers
Roman lit his 10 equally-sized sparklers one by one on New Year's Eve. He lit the first one. When only one tenth of it remained, he lit the second one; when only one tenth of that remained, he lit the third, and so on. The sparklers burn at a constant rat - Zebra ostrich legs
The ZOO has the same number of zebras as ostriches. They have a total of 84 legs. How many zebras and how many ostriches do they have at the ZOO? - The escalator
I run up the escalator constantly in the stairs' direction and write down the number of steps A we climbed. Then we turned around, ran it at the same constant speed in the opposite direction, and wrote down the number of steps B that I climbed. If A = 24 - Boys school count
Two-thirds of boys are in sports school. How many boys are there in school if there are 212 girls? - Folding table
A folding kitchen table is rectangular with an area of 168 dm² and one side 14 dm long. If necessary, it can be enlarged by attaching two semicircular plates along the sides b. By what percentage does the table area increase? Round the result to the neare - Positioning energy increase
A boy weighing 50 kg moves horizontally by 10 m. How much has his positioning energy increased? - Math test
In mathematics, there were 25 problems of three kinds: light 2 points, medium 3 points, and heavy 5 points, and the best score was 84 points. How many points did Jane have when she solved all the easy examples, half of the medium, and one-third of the dif - Family
The twins, Nina and Emma, have a younger brother, Michael. Together, all three are 43 years old. How old is each of them? - Glasses
There are 36 pupils in the class. Nine girls wear glasses. Boys with glasses are five less than girls without glasses. Boys without glasses are two times more than girls without glasses. How many boys and how many girls? - Dividing money
Vilem, Cenek, and Edita divided the money they earned by spreading the leaflet. Vilem got 240 CZK more than Cenek and twice as much as Edita. Edita got 400kc less than Vilem. How much did each of them earn? - The tourist
The tourist traveled 78 km in 3 hours. Part of the journey went on foot at 6 km/h, the rest of the trip by bus at 30 km/h. How long did he walk? - School trip
On a school trip, 17 of the 28 children bought ice cream or chocolate in a candy store. Twelve children bought chocolate, and nine children bought ice cream. How many children bought ice cream and chocolate? How many children did not buy ice cream? How ma
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