Reasoning - math word problems - page 66 of 87
Number of problems found: 1733
- Cinema seats
There are 15 seats in the cinema. If we know the number of seats, we will say that there are more than 390 but less than 410. - Skoda cars
There were 16 passenger cars in the parking lot, ten of which were blue and 10 Skoda. How many blue Skoda cars were in the parking lot? - Garden fence
The quadrilateral garden should be fenced off with a slatted fence. The sides of the orchard are 65 m, 78 m, 40 m and 32 m. The wheels are to be placed 6 m apart, and the axes of the rims are 15 cm apart. How much is needed for a wheel fence, and how many - Two sisters
Two sisters together have 54 CDs. 6/8 of the younger sister's CDs equal 3/5 of the older sister's CDs. How many CDs has each of the sisters? - Subject popularity
In the mini-survey of our class about the popularity of individual subjects, it was shown that 11.1% of pupils like mathematics, 18.5% like languages, 14.8% of pupils like physical education, and the remaining 12 pupils have several favorite subjects. How - Pool volume
The water's surface in the pool is a rectangle 50 meters long and 12 meters wide. The water depth rises evenly from 1 meter at one end of the pool to 3 meters at the other end of the pool (longer sides). Determine the amount of water in the pool in hectol - Pyramid Z8–I–6
Each brick of the pyramid contains one number. Whenever possible, the number in each brick is the lowest common multiple of two numbers of bricks lying directly above it. May that number be in the lowest brick? Determine all possibilities. - Number pairs
Five different positive numbers are written on the board. Determine the largest possible number of pairs formed from them in which the sum of the two elements equals one of the five numbers written on the board. - 2d shape
Calculate the area of a shape in which an arbitrary point is not more than 3 cm from the segment AB. The length of segment AB is 5 cm. - Triangle sides
If we increase one side of the triangle by 11 cm and reduce the other by 11 cm, we get an equilateral triangle. Four times the shortest side of the triangle is 10 cm greater than three times the triangle's longest side. Find all the lengths of the sides o - Tank filling
A worker would fill the tank with one inlet in 36 minutes, the other in 45 minutes. How long will it take to fill the tank if the water flows through the first inlet for 9 minutes and then both simultaneously? - Father and sons
After 15 years, the father will have as many years as his two sons together now. There is a six-year difference between the brothers, and the older one celebrated fifty years three years ago. How old is their father now? - Catching up
Peter and Charles live at the same address. Peter will drive to the stadium in 30 minutes and Charles in 40 minutes. If Charles leaves 5 minutes earlier, where will Peter catch up with him? - Oat bags
The cowboy will give the sheriff two bags of oats, and the sheriff will have 2x more bags than the cowboy. If the sheriff gives two bags of oats to the cowboy, they will both have the same. How many bags does each have? - Average speed
The first third of the track was driven by a car at a speed of 15 km/h, the second third at a speed of 30 km/h, and the last third at a speed of 90 km/h. Find the average speed of the car. - Train speed
A train running at 20 m/s passes by an observer in 5 seconds. Another train, 250 m long, runs on the adjacent track in the opposite direction. Find the speed of the second train. - Polynomial coefficients
Find all triplets P (x) = a * x² + b * x + c with the integer coefficients a, b, and c to which it applies P (1) - Pets in ZOO
The zoo has a run for pets. There are chickens, pigs, and cows. Altogether, there are 20 heads and 60 feet. How many chickens and piglets are there? - Subjects
A student takes 5 minutes to complete a maths problem and 12 minutes to complete a biology problem. One day, he has a combined homework assignment of 11 problems that takes him one and a half hours to complete. How many problems are from each subject? - Christmas trees
The seller of Christmas trees sold spruces for 220 CZK, pines for 250 CZK, and hemlocks for 330 CZK. In the morning he had an equal number of spruces, hemlocks, and pines. In the evening, he had sold all the trees and received a total of 36,000 CZK for th
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