Reasoning - math word problems - page 39 of 87
Number of problems found: 1735
- Sewerage
A heavy rain came onto a football pitch with dimensions 110 m x 70 m and during 15 minutes water fell to a height of 80 mm on each m². The pitch is constructed so that it is drained and water can flow away through 4 channels, each with an internal cross-s - Rectangles
Vladimir likes to draw rectangles. Yesterday, he created all rectangles with sides in centimeters and a circumference of 18 cm. How many rectangles of different dimensions have been drawn? - Irregular pentagon
A rectangle-shaped, 16 x 4 cm strip of paper is folded lengthwise so that the lower right corner is applied to the upper left corner. What area does the pentagon have? - Rectangles How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles.
- 1st drug
The first drug pack has an active ingredient ratio of L1: L2 = 2:1 The second drug pack has a ratio of active ingredients L1: L2 = 1:3 Which ratio do we have to mix the two packages so that the ratio of substances L1: L2 = 1:2? - Three parallels
The vertices of an equilateral triangle lie on three different parallel lines. The middle line is 5 m and 3 m distant from the end lines. Calculate the height of this triangle. - Z6 – I – 6 MO 2019
A mother was studying multi-digit numbers in which odd and even digits alternate regularly. She called those starting with an odd digit 'comical' and those starting with an even digit 'cheerful'. (For example, the number 32387 is comical, and the number 4 - Paints - one-kilo cans
Mr. Novák is going to paint a shed which is 2.2 m high, 3 m wide, and 4.5 m long. On one side there is a window with dimensions 1*1.2 m. For one coat, 1 kg of paint per m² is used. One-kilogram cans cost 80 Kč, the more cost-effective two-kilogram cans co - 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? - Tram meeting time
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. - Candy division proof
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 Julia reap currants in 15 hours of working together. Julia 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 - 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. - 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?
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