Reason - math word problems - page 39 of 108
Number of problems found: 2148
- Land boundary
The land is a right triangle. Its hypotenuse is 30 meters long, and its circumference is 72 meters. What are the sizes of the remaining sides of the land boundary?
- Circular railway
The railway connects points A, B, and C in a circular arc, whose distances are | AB | = 30 km, AC = 95 km, and BC | = 70 km. How long will the track be from A to C?
- Brothers and sisters
There are 35 children in the class; 23 have a brother, and 27 have a sister. When five children in the class have no brother or sister, how many children have both a brother and a sister?
- Intervals 12201
Trams of five lines run at intervals of 5, 8, 10, 12, and 15 minutes. At noon, they left the station at the same time. What time will they meet again? How many times will each tram pass the stop during that time?
- Flowerbed
We enlarged the circular flower bed, increasing its radius by 3 m. The substrate consumption per enlarged flower bed was nine times greater than before (at the same layer height as before magnification). Determine the original flowerbed radius.
- Whenever 12151
Mickey got so many candies that all the digits in this number were the same. Prove that whenever he can divide such several candies into 72 equal piles, he can also divide them into 37 equal piles. (Note: candies cannot be broken)
- Harvest time
Grandma and granddaughter Julka reap currants in 15 hours of working together. Julka herself would have currants ten days after 6 hours of work a day. Find by what percentage the grandma's harvest time was shortened when the granddaughter was involved in
- Inequality 12021
Solve on Z - inequality with absolute value: | x-18 | +4> 1
- Three lines
At 6 AM, three bus lines depart from the station. The first line has an interval of 24 minutes. The second line has an interval of 15 minutes. The third line runs at regular intervals of more than 1 minute. The third line runs at the same time as the firs
- Before yesterday
The merchant adds a sale sign in his shop window to the pair of shoes shown in the morning: "Today by p% cheaper than yesterday. " After a while, however, he decided that the sign saying: "Today 62.5% cheaper than the day before yesterday". Determine the
- Coordinates of square vertices
I have coordinates of square vertices A / -3; 1/and B/1; 4 /. Find coordinates of vertices C and D, C and D. Thanks, Peter.
- 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.
- Mathematicians 11761
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
- Distance 11711
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?
- Reduction 11701
Fourteen pieces of goods cost just as much as 21 pieces before the discount. The price of one piece after the discount is CZK 1.50 lower than before the price reduction. How much was one piece before the discount?
- Pozdechodim 11611
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 line AD, G is the midpoint of line AC, and H is the intersection of lines AC and BE. The area of triangle BCG is 12 cm² and the
- 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?
- Ostriches 11421
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?
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